Question 3 (1 point)

What is the midpoint of E (9, 7) and F (-1, 5)?

Question 3 options:

(4, 6)

(10, 2)

(5, 1)

(8, 12)

Answer:

$796

Step-by-step explanation:

We have been given that Marge bought a computer for $699 on the installment plan. The terms of the plan were a down payment of $100, then payments of $58 a month for 12 months.

First of all, we will find the amount paid in 12 months by multiplying $58 by 12 as:

[tex]\text{Amount paid in 12 months}=\$58\times 12[/tex]

[tex]\text{Amount paid in 12 months}=\$696[/tex]

Since Marge paid $100 as down payment, so her total cost would be down payment plus amount paid in 12 months.

[tex]\text{Marge's total cost}=\$100+\$696[/tex]

[tex]\text{Marge's total cost}=\$796[/tex]

Therefore, Marge's total cost was $796.

Answer:

Part a) [tex]M=6\frac{2}{3}\ min[/tex]

Part b) [tex]M=9\frac{1}{3}\ min[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, M, and N, represent a proportional variation if it can be expressed in the form [tex]k=\frac{N}{M}[/tex] or [tex]N=kM[/tex]

In this problem, the relationship between the number of photos N to the number of minutes M represent a proportional variation

we have that

For M=2, N=3

Find the the constant of proportionality k

[tex]k=\frac{N}{M}[/tex]

substitute the value of N and M

[tex]k=\frac{3}{2}[/tex]

so

[tex]N=\frac{3}{2}M[/tex]

Part a) How long will it take to print 10 photos?

For N=10

substitute in the linear equation

[tex]10=\frac{3}{2}M[/tex]

solve for M

[tex]M=\frac{10*2}{3}[/tex]

[tex]M=\frac{20}{3}\ min[/tex]

Convert to mixed number

[tex]M=\frac{20}{3}\ min=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ min[/tex]

Part b) How long will it take to print 14 photos?

For N=14

substitute in the linear equation

[tex]14=\frac{3}{2}M[/tex]

solve for M

[tex]M=\frac{14*2}{3}[/tex]

[tex]M=\frac{28}{3}\ min[/tex]

Convert to mixed number

[tex]M=\frac{28}{3}\ min=\frac{27}{3}+\frac{1}{3}=9\frac{1}{3}\ min[/tex]

Answer:

The saving amount on selling of three books together after discount of 20% is $2.69

Step-by-step explanation:

Given as :

The original price of first book = $2.50

The original price of second book = $4.95

The original price of third book = $6.00

The total percentage discount on the book = d = 20%

Let The saving money after purchased of book = $x

And Let the selling price of the book = s.p = $y

Now, According to question

The total market price of three books = m.p = $2.50 + $4.95 + $6.00

I.e m.p = $13.45

Now, from discount formula

Discount % = [tex]\dfrac{market price - selling price}{market price}[/tex]

Or, d% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, 20% = [tex]\dfrac{13.45 - y}{13.45}[/tex]

Or, [tex]\dfrac{20}{100}[/tex] = [tex]\dfrac{13.45 - y}{13.45}[/tex]

Or, 20 × 13.45 = (13.45 - y) × 100

Or, 269 = 1345 - 100 y

Or, 100 y = 1345 - 269

Or, 100 y = 1076

∴  y = [tex]\dfrac{1076}{100}[/tex]

i.e y = $10.76

So, The selling price of three books = y = $10.76

∴ The saving amount on selling of three books together after discount of 20% = x = Total market price - Selling price

i.e x = m.p - y

or, x = $13.45 - $10.76

or, x = $2.69

Hence ,The saving amount on selling of three books together after discount of 20% is $2.69  Answer

Answer:

$18.40

Step-by-step explanation:

64*1.15=73.60

73.60/4=18.40

Answer:

The number of corn dogs bought is 3.

Step-by-step explanation:

It is given that, cost of soda is $3 and cost of corn dogs is $4 each.

Let the number of soda bought be "x" and corn dogs be "y".

Thus the total amount spent is given by,

[tex]A = 3x + 4y[/tex]

The total amount is less than or equal to $27, which means;

[tex]3x+4y\leq 27[/tex]

The above inequality can be used to find the number of corn dogs bought.

[tex]y\leq \frac{27-3x}{4}[/tex]

Now, number of items bought are greater than zero and integers, thus x and y are greater than zero integers.

Inserting x from 0 to 9, we get only two only 2 answers,

(x,y) = (5,3) and (9,0)

But it is said that number of corn dogs is not zero, some are bought, thus correct solution is (5,3).

Thus the number of corn dogs bought is 3.

Answer:

The Answer is (A)

Step-by-step explanation:

There are no actual questions provided for this post. However, based on the details given, the question will probably asked about the following:

a) list the sample space

b) the probability of having a type of tree with certain color

I will explain to you how to answer such questions. Though it may defer a bit from the actual question, you could use guidance to provide the basis for your answer.

Answer and Step-by-step explanation:

List of sample space must incorporate each sample on two different events given that both events are independent to each other.

In this case we have two events:

i) type of tree - real or fake

ii) color of ornaments - white (W), silver (S), gold (G) or purple (P)

Each sample must have one choices of each events. In this case the sample space are:

(real,W), (real,S), (real,G),(real,P)

(fake,W), (fake,S), (fake,G), (fake,P)

To find probability of any choices, we need to know the probability of each samples. Assuming the selection is random and both events are independent to each other, we can have each sample for each event having different probability.

Event: type of tree

Number of choice: 2

Hence, Pr(real) = Pr(fake) = 1/2

Event: ornament color

Number of choices: 4

Hence, Pr(W) = Pr(S) = Pr(G) = Pr(P) = 1/4

To find the probability of any sample space, we can base our probability using individual probability as above.

For example, if the choice is fake tree with red ornaments

Pr(fake & R) = Pr(fake) x Pr(R)

= 1/2 x 1/4

= 1/8

Answer: Guys the answer is both

Answer: the second option is the correct answer

Step-by-step explanation:

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the information on the graph y2 = - 1

y1 = - 2

x2 = 4

x1 = 0

Slope = ( - 2 - - 1)/(4 - 0) = - 1/4

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

To find the slope of a line we need two points through which it is passing.

From the figure, we can see that the line passes through (0,-2) and (4,-1).

Slope of a line passing through two points [tex](x_{1},y_{1})\ and\ (x_{2},y_{2})[/tex] is given by the formula:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Here x1=0 y1=-2 x2=4 y2=-1

Slope = [tex]\frac{-1-(-2)}{4-0}=\frac{1}{4}[/tex]

Hence the slope of the line is [tex]\frac{1}{4}[/tex]

Answer: 3.017hp

Step-by-step explanation: 745.7watts = 1hp

2250watts will be (2250/745.7)hp

i.e 3.017watts

3.017 horsepower will be the value of the 2,250 watts of horsepower

Standardization and kinds of horsepower vary widely. Mechanical horsepower meaning around 745.7 watts, and the metric horsepower, which is roughly 735.5 watts, are two commonly used classifications today.  The horsepower is denoted by hp.

The value of 1 horsepower will be:

745.7 watts = 1 horsepower

Calculating the value of 2250 watts with respect to the horsepower

= (2250/745.7)

= 3.017 horsepower

Therefore, the value is  3.017 horsepower

Learn more about horsepower, here:

https://brainly.com/question/13259300

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Explanation:

Mark point D as the center of the circle. Segment EG is the diameter, so angle EDG is 180 degrees. By the central angle theorem, arc EFG is also 180 degrees.

The minor arc from E to F (follow the shortest path along the circle) is 56 degrees. From F to G, along the shortest path, we have y degrees.

(minor arc EF)+(minor arc FG) = arc EFG

56+y = 180

56+y-56 = 180-56

y = 180-56

y = 124

Minor arc FG is 124 degrees.

This is equivalent to saying that central angle FDG is 124 degrees.

-----------------

The inscribed angle for minor arc FG is the angle FEG, which is half that of the minor arc measure.

inscribed angle = (1/2)*(arc measure)

angle FEG = (1/2)*(minor arc FG)

x = (1/2)*(124)

x = 62

Good evening ,

Answer:

x = 62°

Step-by-step explanation:

x equals to half the measure of the central angle FOG

x = (1/2)×(m∠FOG)

m∠FOG = 180 - m∠EOF

              = 180 - 56

              = 124

then  x = 124/2 = 62.

:)

If you could elaborate on what this is, I would be gladly to assist you, but there is uncertainty going on here. I apologise.

     9 T-Shirts

Final answer:

To find the number of t-shirts that were neither black nor blue, subtract the number of black and blue t-shirts from the total. In this case, there were 9 t-shirts that were neither black nor blue.

Explanation:

To find the number of t-shirts that were neither black nor blue, we need to subtract the number of black and blue t-shirts from the total number of t-shirts.

20% of the t-shirts were blue, which means there were 30 x 0.20 = 6 blue t-shirts.

1/2 of the t-shirts were black, which means there were 30 x (1/2) = 15 black t-shirts.

Now, to find the number of t-shirts that were neither black nor blue, we subtract the number of black and blue t-shirts from the total number of t-shirts:

Total number of t-shirts - (Number of black t-shirts + Number of blue t-shirts) = 30 - (15 + 6) = 30 - 21 = 9.

Therefore, there were 9 t-shirts that were neither black nor blue.

Answer:

d

Step-by-step explanation:

Industries Pollute because of following reasons

As the cost of disposal is high so industries dump their waste in the nearby water bodies which causes water pollution. As industries want to maximize their profit so they neglect the disposal part to increase it.

Proper disposal includes the treatment of waste material to reduce its hazardous nature.

Answer:

Step-by-step explanation:

1) The sum of angles on a straight line is 180 degrees. Therefore

75 + a + 70 = 180

145 + a = 180

a = 180 - 145 = 35 degrees

2) Sum of the angles in a triangle is 180 degrees. Therefore,

a + b + 95 = 180

35 + b + 95 = 180

130 + b = 180

b = 180 - 130 = 50 degrees

3) c + 95 = 180 degrees (sum of angles on a straight line).

c = 180 - 95 = 85 degrees

4) 70 + c + d = 180 degrees

70 + 85 + d = 180

155 + d = 180

d = 180 - 155 = 25 degrees

5) e = 75 degrees

6) f + e + 75 = 180 degrees

f + 75 + 75 = 180

f + 150 = 180

f = 180 - 150 = 30 degrees

Answer:

108 degrees

Step-by-step explanation:

To solve this adequately, we simply make a substitution. We can say let sin2.5x = x

Hence we can thus have the quadratic equation form which we can solve.

x ^2 − 4x − 5 = 0.

Solving this yields the following:

x^2 +x - 5x -5 = 0

x( x + 1) -5(x + 1) = 0

(x - 5) (x + 1) = 0

x = 5 or -1

Recall the substitution:

sin2.5x = x

We cannot use the value -5 as the value of the sine function cannot be in this range. We thus ignore it and pick the -1 answer only.

Sin2.5x = -1

2.5x = arcsin(-1) = 270

2.5x = 270

x = 270/2.5 = 108 degrees

Answer:

B

Step-by-step explanation:

For a function to be true, there cannot be any same x value for two different y value. Therefore, B, there is the same x value for 4 but with 2 different ys, 4 and 1.

Answer:

B.

Step-by-step explanation:

It is B because it contains a one-to-many relation.

4 maps to 4 and also 4 maps to 1.

Answer:

[tex]8\times10^5m^2[/tex]

Step-by-step explanation:

To find the cross-section area at a point below the faucet

we can use following equations

[tex]v_1^2=v_2^2+2ay[/tex]

and equation of continuity

[tex]A_1v_1=A_2v_2[/tex]

v_1= velocity at the out let

v_2=  velocity at the inlet (faucet)= 0.75 m/s

y = distance below the faucet = 0.10 m

A_1= cross-sectional area of the water stream at a point 0.10 m below the faucet.

A_2= area of faucet= 1.9 × 10-4m2

from above two equation we can write

[tex]A_1= \frac{A_2v_2}{\sqrt{v_2^2+2ay} }[/tex]

now putting the values we get

[tex]A_1= \frac{1.9\times10^{-4}\times0.75}{\sqrt{0.75^2+2\times9.80\times0.10} }[/tex]

A_1= 0.00008= [tex]8\times10^5[/tex]

Answer:

C

Step-by-step explanation:

We need to find the length of the red dotted line.

It is divided into 3 parts: the top, the middle slant, and the bottom

The top

Goes from y = 50 to y = 120, the length is:

120 - 50 = 70 units

The bottom

Goes from x = 60 to x = 120, the length is:

120 - 60 = 60 units

The middle slant

This is hypotenuse of the right triangle shown.

We will use Pythagorean Theorem to solve for this length, let it be x.

The theorem is:

Leg^2 + Another Leg^2 = x^2

One leg goes from x = 20 to x = 60, the length is 60 - 20 = 40

Another leg goes from y = 20 to y = 50, the lenth is 50 - 20 = 30

So, we have:

[tex]30^2+40^2=x^2\\2500=x^2\\x=\sqrt{2500}\\x=50[/tex]

THe slant length is 50 units

TOtal fencing is:  70 + 60 + 50 = 180 units

1 unit is 3 feet, so

180 units * 3 = 540 feet

C is the correct answer

Answer:

The fractional reserve banking system depends upon the confidence and trust of the public.

Step-by-step explanation:

The fractional reserve banking means that bank uses the deposits of customers to lend money to the borrowers.

Final answer:

About 76 or 77 people were at each showing of the Van Gogh film at the art museum.

Explanation:

The student's question asks about dividing the total attendance at a film showing into equal parts to find out how many people were at each showing. To solve this, we would take the total number of attendees, which is 459, and divide it by the number of showings, which is 6. This division is necessary to distribute the total equally among all showings.

Performing the division: 459 ÷ 6 = 76.5. Since you cannot have half a person attending, it suggests that the number of attendees per showing must either be rounded to 76 or 77, if we are dealing with whole numbers. However, since the exact division gives us 76.5, this suggests that the division of attendees was not perfectly even among all showings or requires rounding for an approximate answer.

Therefore, about 76 or 77 people were at each showing of the Van Gogh film at the art museum.

Answer:

  8

Step-by-step explanation:

Since there are 3 (an odd number) ages, the median is the middle one. So, we know two of the ages are 10 and 15. In order for the mean of the three ages to be 11, their total must be 33. The total of the two known ages is 25, so the remaining one must be ...

  33 -25 = 8

The youngest child is 8.

Answer:

B & E.

Step-by-step explanation:

$25 is the y value, because she has to pay the fee no matter what.

Integers can be less than or equal to 8 because 65(8) + 25 is equal to 545, which does not exceed the budget.

Hope this helps!

Answer:

minutes spent on phone (t) is directly proportional to the phone calls routed (p)  with equation [tex]t =26+2p[/tex].

Step-by-step explanation:

Given:

Number of minutes already spent = 26 minutes

Number of minutes expected to spend on each call = 2

Let number of calls routed be 'p'

Also Let number of minutes on the phone be 't'.

We need to find the relationship between phone calls routed and mins spend on the phone.

Solution:

Now we know that;

Total minutes spent on phone is equal to Number of minutes already spent plus Number of minutes expected to spend on each call routes multiplied by number of calls routed.

framing in equation form we get;

[tex]t =26+2p[/tex]

From above we can see that whenever p increases the value of t will increase too .

Hence we can say that minutes spent on phone (t) is directly proportional to the phone calls routed (p)  with equation [tex]t =26+2p[/tex].

Answer:Lucas is faster

Step-by-step explanation:

Distance = speed × time

Time = distance × speed

the path from the bottom to the top of the mountain was 2 miles.

James climbed at an average rate of 3 mph. This means that the time it took James to climb to the top of the mountain would be

2/3 hours

James ran back at 4 mph. This means that the time it took James run back to the bottom of the mountain would be

2/4 = 1/2 hours

Total time that James spent would be

2/3 + 1/2 = 7/6 = 1.7 hours.

Lucas climbed at an average rate of 2 mph. This means that the time it took Lucas to climb to the top of the mountain would be

2/2 = 1 hour

Lucas ran back at 5 mph. This means that the time it took Lucas to run back to the bottom of the mountain would be

2/5 hours

Total time that James spent would be

1 + 2/5 = 1.4hours.

Answer:

James is faster

Step-by-step explanation:

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Step-by-step explanation:

Keep in mind that Distance = Speed * Time

First lets starts off with James,

Climbing rate of James = 3 mph

Running back rate of James = 4 mph

Total time taken by James =  3/4 x 2/4 = 14/12 = 7/6

Lets convert that into min to make it easier,

7/6 x 60 = 70 min

Now, lets look at lucas,

Climbing rate of Lucas = 2/2 = 1 hour(s) or 60 minutes

Climbing back rate of Lucas = 2/5 of an hour

Now lets convert this one into minutes,

2/5 x 60 = 24 minutes

Total time taken by Lucas = 24 + 60 = 84 minutes

so that means

James = 70 minutes

Lucas = 84 minutes

Therefore James was faster

Hope this helped and please correct me if I got something wrong :)

Answer:

Option 2. Mass divided by density

Step-by-step explanation:

we know that

The formula to calculate the density is equal to

[tex]D=\frac{m}{V}[/tex]

where

D is the density

m is the mass

V is the volume

Solve for V (that means isolate the variable V)

Multiply both sides for V

[tex]DV=m[/tex]

Divide by D both sides

[tex]V=\frac{m}{D}[/tex]

so

Mass divided by density

On 12th day Rosita will walk all three dogs

Solution:

Given that Rosita earns money by walking dogs after school and on weekends

She walks Madeline every other day,buddy every fourth day,and ernie every third day

Today she walked all three dogs

To find: the day when she walked all three dogs

From given question,

Madeline is walked every other day means every two days:  2

Buddy is walked every fourth day:  4

Ernie is walked every third day:  3

To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3

L.C.M of 2, 4, 3:

List all prime factors for each number

Prime Factorization of 2 shows:

2 is prime  => [tex]2^1[/tex]

Prime Factorization of 3 shows:

3 is prime  => [tex]3^1[/tex]

Prime Factorization of 4 is:

[tex]2 \times 2 = 2^2[/tex]

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 = 12

Thus on 12th day Rosita will walk all three dogs

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Work out the area of the square :

6 x 6 = 36

As there are 2, multiply by 2:

36 x 2 = 72

Work out the area of the rectangle:

12 x 6 = 72

As there are 4, multiply by 4:

72 x 4 = 288

Add these values:

288 + 72 = 360

Thus, your answer is E. 360 in^2

Have A Nice Day ❤  

Stay Brainly! ヅ  

- Ally ✧  

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

False. See explanation below.

Step-by-step explanation:

False

A simple random sample "is a subset of a statistical population in which each member of the subset has an equal probability of being chosen"

In other words that means in order to apply a random sampling we need to ensure that we have the same probability of inclusion for every possible element of the population of interest.

And for this case a collection of any numerical information is not referred as random sampling since we don't know if these scores are representative of the population of interest.

And we don't know if this information is obtained using any sampling frame or sampling methodology.  

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y= 4x + 1

Comparing with the slope intercept form, slope = 4

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, - 5) is 4

To determine the intercept, we would substitute m = 4, x = - 2 and y = -5 into y = mx + c. It becomes

- 5 = 4 × - 2 + c = - 8 + c

c = - 5 + 8 = 3

The equation becomes

y = 4x + 3

Answer:

Step-by-step explanation:

any eq. of line parallel to y=4x+1 is

y=4x+a

it passes through (-2,-5)

so -5=4(-2)+a

a=-5+8

a=3

reqd. eq. is y=4x+3

Answer:

Aleatory

Step-by-step explanation:

This is an example of Aleatory type of insurance contact.

Definition:

A contract preoccupied with an unclear occurrence that delivers for imbalanced transfer of worth between the parties. Insurance plans are discretionary investments and, after sustaining a reported loss, a person must pay premiums for many years. Most insurance policies are aleatory contacts.

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Work Shown:

Through the inscribed angle theorem, we can say that 2 times the inscribed angle gets us the arc that the inscribed angle cuts off.

2*(inscribed angle) = arc measure

2*(2x+2) = 76

4x+4 = 76

4x+4-4 = 76-4 ... subtract 4 from both sides

4x = 72

4x/4 = 72/4 ... divide both sides by 4

x = 18

Answer:

Step-by-step explanation:

2 × inscribed angle = 76

2 × (2x + 2) = 76

Open bracket

4x + 4 = 76

Collect like terms

4x = 76 - 4

4x = 72

Divide both sides by 4

4x/4 = 72/4

X = 18

Therefore X is Equal to 18.