A spa charges $125 for a one hour massage and $250 for a
pedicure + 90-minute massage package. One day, the spa had
27 customers and made $5,250.
How many massages, x, and pedicure + 90-minute massage
packages, y, did the spa perform? Express your answer as an
ordered pair (x,y).
Enter the answer

Answers

Answer 1

Let x represent number of massages and y represent number of pedicure + 90-minute massage packages.

We have been given that a spa charges $125 for a one hour massage, so amount earned from x massages would be [tex]125x[/tex].

The spa charges $250 for a pedicure + 90-minute massage package, so amount earned from y pedicure + 90-minute massages will be [tex]250y[/tex].

We have been given that one day the spa had 27 customers. We can represent this information in an equation as:

[tex]x+y=27...(1)[/tex]

[tex]y=27-x...(1)[/tex]

Since spa made $5,250, so amount earned from both massages would be equal to 5,250. We can represent this information in an equation as:

[tex]125x+250y=5250...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]125x+250(27-x)=5250[/tex]

Let us solve for x.

[tex]125x+6750-250x=5250[/tex]

[tex]-125x+6750=5250[/tex]

[tex]-125x+6750-6750=5250-6750[/tex]

[tex]-125x=-1500[/tex]

[tex]\frac{-125x}{-125}=\frac{-1500}{-125}[/tex]

[tex]x=12[/tex]

Upon substituting [tex]x=12[/tex] in equation (1), we will get:

[tex]y=27-12=15[/tex]

Therefore, the spa performed 12 one hour massages and 15 pedicure + 90-minute massage  packages that is [tex](12,15)[/tex].


Related Questions

2. In an effort to improve emergency response times, the city manager made the following line graph. The graph represents the average
response times of the police department and the paramedics to traffic incidents where both departments responded to the same call.
Use the graph and predict at which of the following times that the paramedics will have a faster response time.

Answers

Answer:

2 PM

3 PM

4 PM

8 PM

Step-by-step explanation:

*Note the following:

I used the hours after midnight to calculate the time of day/night.

The lower the graph on the line, the lower (AKA faster) response time.

The paramedics had a faster average response time at the following times:

2 PM

3 PM

4 PM

8 PM

Therefore, we can predict that if this pattern continues, their response time will be faster during those hours.

Harry bought a used bike for 1,050. Before purchasing the bike, Harry had a total of 1250 I. His savings account what percentage of his account did Harry spend on a diet bike?

Answers

Answer:

84%

Step-by-step explanation:

1,050÷1250

= 0.84

=84%

Multiply (2x^2-3x+1)*(x^2-4x-3)

Answers

[tex](2 {x}^{2} - 3x + 1)( {x}^{2} - 4 - 3) = \\ = 2 {x}^{4} - 8 {x}^{2} - 6 {x}^{2} - 3 {x}^{3} + 12x + 9x + {x }^{2} - 4 - 3 = \\ = 2 {x}^{4} - 3 {x}^{3} - 13 {x}^{2} + 21x - 7[/tex]

The school bus Evie rides is scheduled to arrive at her bus stop at 8:20 a.m. each day. The table below shows the actual arrival times that of the bus for several days that were randomly selected over the past few months. Based on these data, what is the probability that the bus will arrive at Evies stop before 8:20 a.m. tomorrow

Answers

Answer:

The probability of the bus getting there BEFORE 8:20 isn't likely

I took an average of all of the numbers and its shows that he bus will be there about 8:20.25

Are (-1,3) and (1,5) parallel

Answers

Answer:

no

Step-by-step explanation:

assuming these are slopes?? two points cant be parallel theyre just dots, no these are not parallel

Please mark as brainliest

No It Is Not Parallel

Explanation

...

The function s(V) = Negative RootIndex 3 StartRoot uppercase V EndRoot describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.


What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?


s > 0

s greater-than-or-equal-to 4

s greater-than-or-equal-to 8

s greater-than-or-equal-to 16

Answers

Answer:

(B)s greater-than-or-equal-to 4

[tex]s\geq 4[/tex]

Step-by-step explanation:

The function [tex]s(V)=\sqrt[3]{V}[/tex] describes the side length, in units, of a cube with a volume of V cubic units.

If Jason wants to build a cube with a minimum of 64 cubic centimeters,

[tex]V\geq 64 $ cubic meters[/tex]

Therefore:

[tex]s(V)\geq \sqrt[3]{64}\\s\geq 4 $ Units[/tex]

The correct option is B.

Answer:

B. s greater-than-or-equal-to 4

Step-by-step explanation:

Find the volume of the oblique cylinder. Round your answer  to the nearest tenth. 

Answers

Answer:

The Volume of an Oblique Cylinder:

An oblique cylinder, on the other side, is a cylinder whose base and top are not perpendicular to the sides. Interestingly, the volume of an oblique cylinder is the same as the volume of a right cylinder, and it is calculated as V=πr2h V = π r 2 h .

Step-by-step explanation:

All parbolas with vertical directrix open to the left or right
True or false

Answers

true!

all parabolas with vertical directrix DO open to the left/right.
Final answer:

The statement is false because parabolas can also open upwards or downwards if the directrix is horizontal. A parabola's open direction depends on the position of the directrix relative to the focus.

Explanation:

The statement that "All parabolas with vertical directrix open to the left or right" is false. A parabola's orientation is determined by the position of its directrix in relation to its focus. If you have a vertical directrix, the parabola will indeed open to the left or the right, depending on the side of the directrix the focus lies. However, if the directrix is horizontal, the parabola will open upwards or downwards. To help understand this, recall that the directrix serves as a line that, in combination with the focus, defines the set of points that make up the parabola—that is, points equidistant from both the focus and the directrix. Furthermore, the equation of a parabola can change based on the orientation and position of the axis, the focus, and the directrix, as shown in various figures and equations related to parabolic motion and geometry.

A circle has a radius of 6. An arc in this circle has a central angle of 330º.
What is the length of the arc?
Either enter an exact answer in terms of or use 3.14 for it and enter your answer as a decimal.

Answers

Answer:

The length of the arc is approximately [tex]\( 17.27 \)[/tex] units.

Explanation:

To find the length of the arc, we use the formula:

[tex]\[ \text{Arc Length} = \frac{\text{Central Angle}}{360^\circ} \times 2\pi r \][/tex]

where:

- Central Angle is the measure of the angle formed by the arc and the center of the circle

- [tex]\( r \)[/tex] is the radius of the circle

Given:

- Radius ([tex]\( r \)[/tex]) = 6

- Central Angle = 330º

Plugging the values into the formula:

[tex]\[ \text{Arc Length} = \frac{330^\circ}{360^\circ} \times 2\pi \times 6 \][/tex]

[tex]\[ \text{Arc Length} = \frac{330}{360} \times 2\pi \times 6 \][/tex]

[tex]\[ \text{Arc Length} = \frac{11}{12} \times 2\pi \times 6 \][/tex]

[tex]\[ \text{Arc Length} = \frac{11}{2} \pi \][/tex]

Using [tex]\( \pi \approx 3.14 \)[/tex], we can approximate the value:

[tex]\[ \text{Arc Length} \approx \frac{11}{2} \times 3.14 \][/tex]

[tex]\[ \text{Arc Length} \approx 17.27 \][/tex]

So, the length of the arc is approximately [tex]\( 17.27 \)[/tex] units.

Invent a data set with five numbers that has a mean of 10 and a median of 12.

Answers

Answer:

7,7,12,12,12

Step-by-step explanation:

7+7+12+12+12=50/5=10=Mean

Median=12

The data set could be as follow 7,7,12,12,12 which has a mean of 10 and a median of 12.

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

we have given the information of the data set with five numbers that have a mean of 10 and a median of 12.

Mean = 10

Let's assume the given data set 7,7,12,12,12 so, this must satisfy the information

7+7+12+12+12=50/5

Mean =10

Also,

Median=12

Thus, the data set could be as follow 7,7,12,12,12 which has a mean of 10 and a median of 12.

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What is the product?
(6r-1)(-8r-3)
-4872-10r +3
- 48r2-10r-3
-48P?+ 3
-48r2-3

Answers

-48r^2−10r+3

Step-by-step explanation:

(6r-1)(-8r-3)

Apply the distributive property by multiplying each term of 6r−1 by each term of -8r−3

-48r^2−18r+8r+3

Combine -18r and 8r to get -10r.

-48r^2−10r+3

Therefore the product of this equation is -48r^2−10r+3

Hope this helps! If you have any more questions or you need further clarification on anything please comment down below. Good luck!

The value of the product of the expression is,

⇒ - 48r² - 10r + 3

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition

Given that;

The expression is,

⇒ (6r - 1) (- 8r - 3)

Now, We can multiply as;

⇒ (6r - 1) (- 8r - 3)

⇒ - 48r² - 18r + 8r + 3

⇒ - 48r² - 10r + 3

Thus, The value of the product of the expression is,

⇒ - 48r² - 10r + 3

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6,000 is invested in an account that earns 4.5% annual interest, compound quarterly. What is the value of the account after 8 years?

Answers

Your answer is 8,582.71

Which is the solution to the inequality? One-fourth + x less-than StartFraction 5 over 6 EndFraction x less-than StartFraction 7 over 12 EndFraction x greater-than StartFraction 7 over 12 EndFraction x less-than 1 and StartFraction 1 over 12 EndFraction x greater-than 1 and StartFraction 1 over 12 EndFraction

Answers

Answer:

A

Step-by-step explanation:

The required solution of the given inequality is given as x < 7/12. Option A is correct.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
One-fourth + x less-than StartFraction 5 over 6 EndFraction,

So, the Above expression is given as,
1/4 + x < 5/6

Subtract 1/4 from both sides,
1/4 + x - 1/4 < 5/6 - 1/4
x <  [20 - 6] / 24
x < 14 / 21
x < 7 / 12

Thus, the required solution of the given inequality is given as x < 7/12. Option A is correct.

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» What is the area?
10 mm
10 mm

Answers

Answer:

100mm

Step-by-step explanation:

Multiply the length times the width

Answer: 100 mm or 20 mm

Step-by-step explanation:  You ethier times it together or add it together

Hope this helps :)

Darla got a job at a jewelry store. She gets paid $20 for each ring she sells and $50 for each necklace she sells. How much will she earn if she sells 15 rings and 9 necklaces?

Answers

Answer:

$750

Step-by-step explanation:

Answer:

$750

Step-by-step explanation:

50 times 9 = 450

20 times 15 = 300

450+300=750

Carlos correctly answered 46 of the 50 questions.what percent of the questions did he answer correctly?

Answers

92% just divide the numerator by the denominator

Answer:

92%

Step-by-step explanation:

46/50=?/?

multiply 50 by 2 then 46 by 2

46/50=92/100

92/100= 92%

Find one value of x that is a solution to the equation: (3x-1)^2 +12x -4 =0
X =

Answers

X= -1 or X= 1/3= 0.333

What is the value of x in the equation 1,331 x ^3 − 216 = 0?

A. -6/11

B. 11/6

C. 1/6

D. 6/11 (correct)

Answers

Answer:

choice D . x = 6/11

Step-by-step explanation:

1,331 x ^3 − 216 = 0?

11^3 = 1331

6^3 = 216

(11x)^3 - 6^3  = 0

We have   (11x - 6) * ( (11x)^2  + 6*(11x ) + 36) = 0

Solve  11x - 6 = 0

x = 6/11

Which temperature is warmest?

-12°

-17°
-34°

Answers

I think it’s 0 bc it’s the only one that isn’t negative

Answer:

0

Step-by-step explanation:

It is 0 because that is not negative and it is the closest to positive as positive is usually warmer than negative temperatures

I ran 800m, 5km,1,000cm. How many meters did I run all together

Answers

Answer:

5810 meters

Step-by-step explanation:

800 meters

5km = 5,000 meters

1,000 cm = 10 meters

Add all together to get 5810 meters

What is the reduced and simplified value of the expression given below

Answers

Answer:

8

Step-by-step explanation:

4 x 6

-------

3

to... 24

---- = 8

3

Answer:

8

Step-by-step explanation:

[tex]\frac{\sqrt{16}*\sqrt{36} }{\sqrt{9} } =\frac{4 * 6}{3}=\frac{24}{3} =8[/tex]

Please mark my answer as the brainliest!!!!

What’s the answer?????????

Answers

The right answer is letter B).

Jackie makes an $800 deposit into a bank account earning 4.5% interest.
a. If the interest is compounded quarterly how much money will Jackie have in 10 years?
b. If the interest is compounded continuously how much money will Jackie have in 10 years?
C. If Jackie's money is compounded continuously, how long will it take her money to double?
d. If Jackie's money is compounded monthly, how long will it take her money to triple?

Answers

Final answer:

For part a, Jackie will have approximately $1217.62 after 10 years with quarterly compounding interest. For part b, Jackie will have approximately $1226.96 after 10 years with continuous compounding interest. For part c, it will take approximately 15.43 years for Jackie's money to double with continuous compounding interest. For part d, it will take approximately 38.51 years for Jackie's money to triple with monthly compounding interest.

Explanation:

For part a, to calculate the amount of money Jackie will have in 10 years with quarterly compounding interest, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years. Plugging in the values, we have A = 800(1 + 0.045/4)^(4*10), which gives us A ≈ $1217.62.

For part b, to calculate the amount of money Jackie will have in 10 years with continuous compounding interest, we can use the formula: A = P * e^(rt), where e is Euler's number and approximately equal to 2.71828. Plugging in the values, we have A = 800 * e^(0.045 * 10), which gives us A ≈ $1226.96.

For part c, to find out how long it will take Jackie's money to double with continuous compounding interest, we can use the formula: t = ln(2) / r, where t is the time in years and r is the interest rate. Plugging in the values, we have t = ln(2) / 0.045, which gives us t ≈ 15.43 years.

For part d, to find out how long it will take Jackie's money to triple with monthly compounding interest, we can use the formula: t = ln(3) / (n * ln(1 + r/n)), where t is the time in years, n is the number of times compounded per year, and r is the interest rate. Plugging in the values, we have t = ln(3) / (12 * ln(1 + 0.045/12)), which gives us t ≈ 38.51 years.

a. If the interest is compounded quarterly, Jackie will have approximately $1,313.63 in 10 years.

b. If the interest is compounded continuously, Jackie will have approximately $1,256.39 in 10 years.

c. If Jackie's money is compounded continuously, it will take approximately 15.4 years for her money to double.

d. If Jackie's money is compounded monthly, it will take approximately 62.47 years for her money to triple.

Step 1

To solve this problem, we can use the compound interest formula:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

Where:

- A is the amount of money accumulated after t years, including interest.

- P is the principal amount (the initial deposit).

- r is the annual interest rate (as a decimal).

- n is the number of times interest is compounded per year.

- t is the time the money is invested for, in years.

Given:

- [tex]\( P = \$800 \)[/tex]

-[tex]\( r = 0.045 \)[/tex] (4.5% as a decimal)

- n is either 4 for quarterly compounding or tends to infinity for continuous compounding.

Step 2

We'll calculate each part step by step:

a. Quarterly compounding:

- [tex]\( n = 4 \)[/tex]

- [tex]\( t = 10 \)[/tex]

Substituting into the formula:

[tex]\[ A = 800 \left(1 + \frac{0.045}{4}\right)^{4 \times 10} \]\[ A = 800 \left(1 + \frac{0.045}{4}\right)^{40} \]\[ A = 800 \left(1 + 0.01125\right)^{40} \]\[ A = 800 \times 1.01125^{40} \]\[ A = 800 \times 1.642032881 \]\[ A = \$1,313.63 \][/tex]

Step 3

b. Continuous compounding:

For continuous compounding, we use the formula:

[tex]\[ A = P e^{rt} \][/tex]

Where e is the base of the natural logarithm, approximately equal to 2.71828.

Substituting the values:

[tex]\[ A = 800 \times e^{0.045 \times 10} \]\[ A = 800 \times e^{0.45} \]\[ A = 800 \times 1.570482165 \]\[ A = \$1,256.39 \][/tex]

Step 4

c. To find out how long it takes for the money to double with continuous compounding, we use the formula:

[tex]\[ A = P e^{rt} \][/tex]

We need to solve for t  when [tex]\( A = 2P \):[/tex]

[tex]\[ 2P = P e^{0.045t} \]\[ 2 = e^{0.045t} \]\[ \ln(2) = 0.045t \]\[ t = \frac{\ln(2)}{0.045} \][/tex]

Substituting the values:

[tex]\[ t = \frac{\ln(2)}{0.045} \]\[ t = \frac{0.693}{0.045} \]\[ t = 15.4 \text{ years} \][/tex]

So, it takes approximately 15.4 years for Jackie's money to double with continuous compounding.

Step 5

d. To find out how long it takes for the money to triple with monthly compounding, we use the compound interest formula again, but this time we set [tex]\( A = 3P \)[/tex]:

[tex]\[ 3P = P \left(1 + \frac{0.045}{12}\right)^{12t} \]\[ 3 = \left(1 + \frac{0.045}{12}\right)^{12t} \]\[ \ln(3) = 12t \ln\left(1 + \frac{0.045}{12}\right) \]\[ t = \frac{\ln(3)}{12 \ln\left(1 + \frac{0.045}{12}\right)} \][/tex]

Substituting the values:

[tex]\[ t = \frac{\ln(3)}{12 \ln\left(1 + \frac{0.045}{12}\right)} \]\[ t = \frac{1.099}{12 \times 0.0037} \]\[ t = 62.47 \text{ years} \][/tex]

So, it takes approximately 62.47 years for Jackie's money to triple with monthly compounding.

The letter represents where the amount of $158.29 should be written.


The letter represents where the amount of $250 should be written.

Answers

Answer:

The letter A represents where the amount of $158.29 should be written.

The letter D  represents where the amount of $250 should be written.

Step-by-step explanation:

Ivan spent $158.29 on groceries so that would be debit -

For letter D he is transferring money

The letter 'a' represents where the amount of $158.29 should be written. And the letter d represents where the amount of $250 should be written.

What is Debit?

Debit is an entry in the accounting sheet where there forms an increase in the assets or decrease in the liabilities. Positive values for assets and liabilities are debited and the negative balances are credited on balance sheet.

Given that Ivan spent $158.29 on groceries.

He then transferred $250 to his savings account.

On the check register, there are two letters, letter a and letter d.

a is the amount debited for groceries. So the letter a represents where the amount of $158.29 should be written.

d is the amount debited for a transfer. So the letter d represents where the amount of $250 should be written.

Hence the letter 'a' represents where the amount of $158.29 should be written. And the letter d represents where the amount of $250 should be written.

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The full question is :

Look at ivan’s check register. ivan spent $158.29 on groceries. he then transferred $250 to his savings account. a check register. a is the amount debited for groceries. d is the amount debited for a transfer. the letter represents where the amount of $158.29 should be written. the letter represents where the amount of $250 should be written.


Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

f(x) = −4(x − 8)2 + 3

Answers

Answer:

the symmetry for each function is -8 and -4

hoped that helped:P

Final answer:

The axis of symmetry for the function f(x) = -4(x - 8)^2 + 3 is x = 0.

Explanation:

The axis of symmetry of a quadratic function can be found using the formula:

x = -b / (2a)

For the function f(x) = -4(x - 8)^2 + 3, the coefficient of the x^2 term is -4 (which is a) and the coefficient of the x term is 0 (which is b).

Therefore, the axis of symmetry can be found as:

x = -b / (2a) = -0 / (2*(-4)) = 0

So, the axis of symmetry for the function f(x) = -4(x - 8)^2 + 3 is x = 0.

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a 71.9%
b 18%
c 28.1%
39.1%

Answers

the answer is c 28.1%
The answer MIGHT be 28.1%

What is the volume of a cylinder with base radius 2 and height 9?
Either enter an exact answer in terms of TT or use 3.14 for 7 and enter your answer as a decimal.
cubic units

Answers

Answer:

V = 36[tex]\pi[/tex] units³

Step-by-step explanation:

Use the formula for the volume of a cylinder, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height:

Plug in the values:

V = [tex]\pi[/tex](2²)9

V = 36[tex]\pi[/tex] units³

What is the measure of XYZ?
A 93°
B 96°
C 186°
D 174°

Answers

Answer:

  A.  93°

Step-by-step explanation:

The inscribed angle has half the measure of the arc it subtends.

  ∠Y = 186°/2 = 93°

The measure of angle XYZ is 93°.

You are at a sandwich shop. You can choose from white or rye bread, turkey or ham, and Swiss or American
cheese to make your sandwich. All eight possible sandwich combinations are listed below.
If we take sandwiches 3, 4, 5, and 6 as a subset of the sample space, which of the statements below describe
this subset?

Answers

Answer: The correct is answer is: The subset consists of all the sandwiches with either white bread and ham or rye bread and turkey.

Step-by-step explanation: I got this question correct.

The statement of the subset is given below. Then the correct options are A, C, and D.

What are Sets?

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

You are at a sandwich shop.

You can choose from white or rye bread, turkey or ham, and Swiss or American cheese to make your sandwich.

Then the number of the sample will be

Total sample = 2 x 2 x 2 = 8

The set will be {(WTS), (WTA), (WHS), (WHA), (RTS), (RTA), (RHS), (RHA)}.

All eight possible sandwich combinations are listed below.

If we take sandwiches 3, 4, 5, and 6 as a subset of the sample space.

Then the statements below describe this subset will be {(WHS), (WHA), (RTS)(RTA)}

The subset consists of all the sandwiches with either white bread and Swiss cheese or rye bread and American cheese.

The subset consists of all the sandwiches with white bread and ham.

The subset consists of all the sandwiches with rye bread and turkey.

Then the correct options are A, C, and D.

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IM USING THE REST OF MY POINTS FOR THIS!!!!!! CLICK ON IMAGE TO SEE IT

Answers

Answer:

The Graph has a x- intercept at (3,0)

Step-by-step explanation:

-3 +3 =0

so x=-3

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Will and Hilda have been removed from the team they worked with after they were overheard making derogatory comments about one of their colleague's racial origin. Write complete sentences using the elements given. Make all theappropriate changes.1. ton frre / toi / tre / vous / grand / trs / et2. grand / blond / tre / moi / et / je3. mince / Emma / tre / mignon / et4. professeur / tre / comment/ d'anglais / le5. ils / gros / pas / tre / ne6. Alicia / tre / et / gentil / et /intelligent / Jeanne7. tre / Eva / tre / elle / marrant / timide / mais8. avoir / je / frre / trois / pnible / beau / mais -10+16(-2)+7please help! Which part of Andre's paragraph is inappropriate for a school report?OA. The plane is still totally cool todayOB. It does daring loops and tricks.Oc.They can be bought as a homebuilt kitOD. It is used in many air shows. Requires the blackworms to incubate 2 min in the test solution. If the worms were accidentally incubated for 4 min, how would the results be affected? a. The results would not be affected since the test chemicals are known to not affect the pulse rate of blackworms. b. The results would not be affected since an incubation time of 2 min is simply a time-saving device. c. The pulse rate would be markedly increased due to excessive absorption of the test solution. d. The pulse rate would be severely depressed or absent due to death of the worms. What is the solution of the system of equations shown in the graph below? Which health endorsements are reliable? Check all that apply.An online weight-loss support group member describes her success with purging after a meal to reduce caloric consumption.A manufacturer of diet replacement shakes says that drinking a complete liquid diet drink in place of meals once a day is an effective way to lose weight.A physician recommends that you try an exercise regime of 30 minutes of strength training and cardio at least three times a week.Your family doctor says that due to a thyroid disorder, you will need to use medication to lose weight.Your massage therapist suggests that eating smaller meals throughout the day will help control your diabetes. A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green or yellow marble? 75% 55% 20% 25% https://www.woodfordschools.org/userfiles/426/my%20files/sha%20nti%20day%201%2017-18.pdf?id=8598is the articleQuestion 1 (1 point) How does the text describe most previous scientific research in the field of psychology?Question 1 options:a) It neglected to study the happiness of people with neurosis.b) It prioritized determining why happy people are happy.c) It focused on improving the lives of very depressed people.d) It was centered on improving the moods of already happy people.Question 2 (1 point) Which detail from the text best supports Seligmans ideas about happiness?Question 2 options;a) Psychologists tend to be concerned with taking a negative 8 person, and helping him get to negative 2 (Paragraph 8)b) While our quality of life has increased dramatically over that time, and we've become richer, we're in an epidemic of depression (Paragraph 10)c) Think of these people as hobbyists who become so immersed in their work that time ceases to exist (Paragraph 17)d) By frequently calling upon their strengths, people can build up natural buffers against misfortune and negative emotions (Paragraph 4)Question 3 (1 point) Which quote from the text is the least relevant piece of evidence used to support Seligmans ideas about how people become happy?Question 3 options:a) Material goods even simple ones like ice cream cones, and massages are only stimuli, things that fleetingly give people a boost. (Paragraph 12)b) To cultivate happiness, you must first identify which of the aforementioned happiness categories you fall into, then ascertain your individual strengths and virtues. (Paragraph 21)c) A study of cloistered nuns found that those scoring high on happiness tests at age 20 lived the longest. (Paragraph 20)d) Instead, he says we can boost our own happiness by capitalizing on the strengths and traits that we already have, including kindness, originality, humor, optimism, and generosity. (Paragraph 3)Question 4 (1 point) Which of the following statements best summarizes Seligmans ideas about happiness?Question 4 options:a) Its easier to achieve happiness by breaking down what keeps you from being happy, such as stress or mental illness.b) People who are able to appreciate the small joys of life tend to be happier overall.c) Happiness can be achieved if you focus on and develop the characteristics that you value about yourself.d) Seligmans research has found that an increased quality of life has negatively impacted peoples level of happiness. How did the Edict of Milan, which was issued in 313 CE, affect the spread of Christianity?It allowed Christianity to spread to Carthage and Jerusalem.It allowed Christianity to spread outside of Europe by 600 CE.It allowed Christianity to spread around the entire world by 600 CE.It allowed Christianity to spread throughout the entire Roman Empire. "Broken Chain"Alfonso sat on the porch trying to push his crooked teeth to where he thought they belonged. He hated the way helooked. Last week he did fifty sit-ups a day, thinking that he would burn those already apparent ripples on his stomach toeven deeper ripples, dark ones, so when he went swimming at the canal next summer, girls in cut-offs would notice. Andthe guys would think he was tough, someone who could take a punch and give it back."Fish Cheeks"When I found out that my parents had invited the minister's family over for Christmas Eve dinner, I cried. What wouldRobert think of our shabby Chinese Christmas? What would he think of our noisy Chinese relatives who lacked properAmerican manners? What terrible disappointment would he feel upon seeing not a roasted turkey and sweet potatoes butChinese food?How do both the essay and short story convey the theme that people often care about what others think of them?O Alfonso doesn't like the way he looks, and Amy is embarrassed by her family's traditions.O Alfonso wants others to notice him, and Amy is worried about what Robert will think.Alfonso isn't confident in himself, and Amy constantly questions her family s ways.Alfonso must worry about what he looks like during the summer, and Amy has to deal with the holidays. what is 9x10 and what is 3x10? Ammonia (NH3(g), AH = -46.19 kJ/mol) reacts with hydrogen chloride (HCl(g), AH = -92.30 kJ/mol) toform ammonium chloride (NH4Cl(s), AH = -314.4 kJ/mol) according to this equation:NH3(g) + HCl(9) NH4Cl(s)What is AHxn for this reaction? A rectangular prism has a volume of 3995 cubic inches. Its base measures 5 in by 17 in. What is the height of the rectangular prism? You must show all work to receive credit. When a word ends in y and you add a suffix, the spelling of the root word does not change. What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.units is Compression ratio decreased when a large volume of combustion chamber deposits accumulate in the engine? Steam Workshop Downloader