APPLICATIONS
3. Maria charges $15 for every 2 hours that she babysits. Answer the following questions based on this
information.
901
(a) How much would Maria charge for working for 5 hours? 80
758
Amount Charged, a
(b) Fill out the table below for the amount that Maria
makes as she babysits and graph the relationship on the
grid provided.
Hours Worked, h
8
10
12
-
4
1012
10
Amount, a, in $
15
6 8
Hours Worked, h
c) Write an equation for the amount
that Maria makes as a function of the number of hours, h, that she

Answer:

The correct answer is C. 20.33%

Step-by-step explanation:

1. Let's review all the information given to us to answer the question correctly.

Mean of time of adults walking a mile = 22 minutes

Standard deviation = 6 minutes

Normal distribution for the walking times

2. What percentage of adults take longer than 27 minutes to walk a mile?

27 minutes = Mean + 5 minutes

27 minutes = Mean + 0.83 * Standard deviation

Using the z table for z = 0.83, we have that:

P (z) = 0.7967

Therefore the probability of adults that take longer than 27 minutes walking a mile is:

1 - 0.7967 = 0.2033

The correct answer is C. 20.33%

Answer:

2 HOURS

Step-by-step explanation:

The 1st hour of Billys moped shop costs $17. While Julios costs $25. But at the second hour mark it Billy's moped shop charges $34 an hour and Julios also charges $34nfor 2 hours of rental.

Answer:

2

Step-by-step explanation:

Billy's Moped Shop charges $17 per hour for a moped + helmet.  Julio's moped shop charges $9 per hour for a moped + $16 upfront for a helmet.

Let x be hours and p be price,  let's set up an equation for each.

Billy's equation is 17x = p

Julio's equation is 9x + 16 = p

After 1 hour,  Billy's would charge $17 and Julio's would have charged $25.  After 2 hours,  Billy's would charge $34 and Julio's would charge $34.  The answer is 2.

The answer is 63.because it can be divided by other many numbers like 3,7,9 ......

I am 100% sure about the answer..

Answer:

B. 63.

Step-by-step explanation:

Because 63 can be written as a multiple of smaller numbers .

For example 7 * 9 = 63.

Answer:

the answer is 1.3 that 8s the answer

The standard form of the given equation is 10y+4x=9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y = -0.4x + 0.9.

The standard form for linear equations in two variables is Ax+By=C.

Now, y+0.4x=0.9

Multiply by 10 on both the sides of an equation, we get

10y+4x=9

Therefore, the standard form of the given equation is 10y+4x=9.

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it is very easy.I will explain u...

between 1 and 3 3 is greater..so we have put the plus sign and multiply + and - it wil ne - so that we have subtracted it...Hope it helps u...

Answer:

5.

Step-by-step explanation:

3 * 5 = 15

6 * 5 = 30

7*5 = 35

9*5 = 45

So the constant is 5.

Answer:

286 inches

Step-by-step explanation:

26×11=286

Answer:

Step-by-step explanation:

Answer: [tex]57\°[/tex]

Step-by-step explanation:

For this exercise it is important to remember that:

1. The word "difference" indicates subtraction (The result of a subtraction is called "difference").

2. The multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]

For this case, according to the data given in the exercise, the records high temperature and the record low temperature are:

[tex]High\ temperature=41\°\\\\Low\ temperature=-16\°[/tex]

Therefore, if you want to find the difference in the record temperatures, you need to sutract them.

Then you get the following result:

[tex]High\ temperature-Low\ temperature=41\°-(-16\°)=41\°+16\°=57\°[/tex]

Answer: Just by seeing the graph, we can see that the function is decreasing from

x = 1 , to x = 8

(In this section the function has negative slope, its rate of change is negative)

(From x = -5 to x = -2 the function is increasing)

(From x = -2 to x = 1 the function stays the same)

Answer:

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left. Remember, if you don’t see a decimal, just imagine that it’s at the end, or far right side, of the number. Imagine that the decimal is followed by two zeroes if that helps.

Step-by-step explanation:

Answer:

Converting Percentages to Decimals

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left.

hope this helps

can you help me with this

The war of wall | Why is the wall special to the narrator and Lou?

Answer:

∠ABC = 110°

Step-by-step explanation:

Since Δ BCD is equilateral then the 3 angles are congruent with measure 60°

Thus ∠ DBC = 60°

Δ ABD is isosceles with AB = BC

Thus the base angles are congruent, that is

∠ BAD = ∠ ADB = 65°

Calculate ∠ ABD by subtracting the sum of the base angles from 180°

∠ ABD = 180° - (65 + 65)° = 180° - 130° = 50°

Hence

∠ ABC = ∠ ABD + ∠ DBC = 50° + 60° = 110°

Answer:

110°

Step-by-step explanation:

Triangle ABD is an isosceles triangle.

This means that ∠ ADB is also 65°

Use the Triangle Sum Theorem (All angles of a triangle sum up to 180°)

65 + 65 = 130

180 - 130 = 50

∠ ABD is 50°

For Triangle BCD, all of the sides are the same.

This means all of the angles will be 60° (60° * 3 = 180°)

To find ∠ ABC, you add the two angles

60° + 50° = 110°

Answer:

5/2=2.5, while 1/3= aprox 0.333, therefore 5/2 is not equal to 1/3.

Step-by-step explanation:

Here is the long division table for 5/2

 2. 5 0 0

2 5. 0 0 0

− 4      

 1 0    

− 1 0    

   0 0  

 −   0  

     0 0

   −   0

       0

Here is the long division table 1/3 ( to three decimal places)

0. 3 3 3

3 1. 0 0 0

− 0      

 1 0    

−   9    

   1 0  

 −   9  

     1 0

   −   9

       1

An easier way to do 5/2 is to think of 50/2, which is 25, and then add a decimal point, making it 2.5.

An easier way to do 1/3 is to think of it as one third (of one), or 0.333 repeating.

Answer:

y = 3x + 22

Step-by-step explanation:

y - 7 = 3(x+5)

Distribute,

y - 7 = 3x + 15.

Add 7 to both sides.

Final answer, y = 3x + 22.

Hope this helps!

Answer:

22

Step-by-step explanation:

Remove the brackets on the right.

y - 7 = 3x + 15

Add 7 to both sides.

y - 7 + 7 = 3x + 15 + 7

y = 3x + 22

The y intercept occurs when x = 0

y = 3*(0) + 22

y = 22

2*k + 3 = 13

2*k = 13 - 3

2*k = 10

k = 10/2

k = 5

The verbal statement 'Three more than twice k is thirteen' translates into the mathematical equation 2k + 3 = 13. Solving this equation, we find that k equals 5. This is an example of forming and solving an algebraic equation from a word problem.

The question asks to translate a verbal statement involving a variable into a mathematical equation. The statement is 'Three more than twice k is thirteen.' To form an equation, we first identify the mathematical operations described in the statement. 'Twice k' means we need to multiply k by 2, so we have 2k. 'Three more than' suggests an addition of 3 to the previous result, so we add 3 to 2k to get 2k + 3. Finally, 'is thirteen' tells us that this expression is equal to 13. The equation becomes 2k + 3 = 13.

To solve for k, we subtract 3 from both sides to obtain 2k = 10, and then divide by 2, resulting in k = 5. This completes the exercise of writing and solving the equation.

Example of a similar equation:

Let's say we have 'Four less than half of x is twenty.' The equation would be (1/2)x - 4 = 20. We would solve by adding 4 to get (1/2)x = 24, and then multiply by 2 to find x = 48.

Answer:

(1). 110 followers

(2). 463 days

(3). Days since upload                0 10 20 50 100 300 500

Number of Instagram followers 100 122 149 270 732 39158 2,000,000

(5) [tex]f(x)=100(1.03)^d[/tex]

Step-by-step explanation:

Part 1:

The function that represents the situation is:

[tex]f(x) = 100(1 .01)^{2d}[/tex]

Where [tex]d[/tex] is number of days.

Using this equation we find the number of followers after 5 days:

[tex]f(d) = 100(1 .01)^{2*5}=110[/tex] followers.

Part 2:

We solve the equation

[tex]1,000,000 = 100(1 .01)^{2d}[/tex]

for [tex]d[/tex] and get:

[tex]d=463\: days.[/tex]

It takes Alexis 463 days to reach 1,000,000 followers.

Part 3:

Days since upload                0 10 20 50 100 300 500

Number of Instagram followers 100 122 149 270 732 39158 2,000,000

This is obtained from the graph of the function f(x).

Part 4:

The number of Instagram followers increases fast because the rate of increase is 1% of the previous number of followers, and as the followers increase, this 1% takes increasingly big values, leading to increasingly fast growth rate of followers. Put simply, we would say that f(x) is an exponential function.

Par 5:

If the rate is increased to 3% every 24 hours, then the function f(x) becomes:

[tex]f(x)=100(1.03)^d[/tex]

where [tex]d[/tex] is days. and if we represent this in terms of every 12 hours then

[tex]f(x)=100(1.03)^{t/2}[/tex]

where [tex]t[/tex] is every 12 hours.

Investing $2500 annually for 10 years into an annuity with a 3.4% APR yields approximately $31,790.56, making option B the correct choice.

A recurring-payment variable annuity typically involves regular contributions over time, often with variable returns based on market performance. Option B seems to fit this description best: "An annuity with an APR of 3.4% into which you invest $2500 each year."

To calculate the future value of this annuity, we can use the formula for the future value of an annuity:

FV = Pmt × [(1 + r)^n - 1] / r

Where:

FV = Future value

Pmt = Payment per period ($2500)

r = Interest rate per period (3.4% or 0.034)

n = Number of periods (number of years)

Let's assume we invest for 10 years:

[tex]FV = 2500 * [(1 + 0.034)^10 - 1] / 0.034[/tex]

Calculating this gives us approximately $31,790.56.

Therefore, investing $2500 each year for 10 years into an annuity with an APR of 3.4% would result in a future value of approximately $31,790.56.

Final answer: B. An annuity with an APR of 3.4% into which you invest $2500 each year.

The Correct question is:

Which of these is an example of a recurring-payment variable annuity?

A. An annuity with a minimum APR of 3.4% into which you invest a lump sum of $12,500

B. An annuity with an APR of 3.4% into which you invest $2500 each year C. An annuity with a minimum APR of 3.4% into which you invest $2500 each year

D. An annuity with an APR of 3.4% into which you invest a lump sum of $12,500

Answer:

req time=2.5 year

Step-by-step explanation:

simple interest=[tex]\frac{P\times R\times T}{100}[/tex]

where P=principle

          R=rate of interest

          T=time

totel amount= principle+simple interest

simple interest=totel amount-principles

simple interest=$575-$500=$75

ac/ques, 75=[tex]\frac{500\times 6\times T}{100}[/tex]

75=[tex]30\timesT[/tex]

T=2.5 year

Answer:

8/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-1)/(2-5)

m=-8/-3

m=8/3

Answer:

The students who have a cell phone and can use social media are 3.

Step-by-step explanation:

The question is incomplete so the complete question is:

There are 30 students in Mrs. Bailey’s class, and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?

Now, as given in question we need to find the number of students have a cell phone and can use social media.

Now, to get the number of students of the class who has their own cell phone:

[tex]\frac{1}{5}\ of\ 30.[/tex]

[tex]=\frac{1}{5} \times 30.[/tex]

[tex]=\frac{30}{5}[/tex]

[tex]=6.[/tex]

Of this group of 6 students, 1/2 of them are  allowed to use social media.

So, to get the number of students who use social media:

[tex]\frac{1}{2}\ of\ 6.[/tex]

[tex]=\frac{1}{2} \times 6[/tex]

[tex]=\frac{6}{2}[/tex]

[tex]=3.[/tex]

Therefore, the students who have a cell phone and can use social media are 3.

slope = change in y/change in x = (9-6)/(-5-(-3)) = -3/2

answer: -3/2

Answer:

The distance of the object from the base of cliff is 18.24 meters

Step-by-step explanation:

Given as :

The height of the vertical cliff = h = 50 meters

The distance of the object from the base of cliff = x meters

Let The angle of depression of object that level with cliff base = Ф = 70°

Now, from figure

Tan angle = [tex]\dfrac{\textrm perpendicular}{\textrm base}[/tex]

I.e TanФ = [tex]\dfrac{\textrm AB}{\textrm OA}[/tex]

Or, TanФ = [tex]\dfrac{\textrm h}{\textrm x}[/tex]

Or, Tan 70° = [tex]\dfrac{\textrm 50 meters}{\textrm x meters}[/tex]

Or, 2.74 = [tex]\dfrac{\textrm 50}{\textrm x}[/tex]

∴ x =  [tex]\dfrac{\textrm 50}{\textrm 2.74}[/tex]

I,e x = 18.24 meters

So, The distance of the object from the base of cliff = x = 18.24 meters

Hence,The distance of the object from the base of cliff is 18.24 meters Answer

We can determine the distance of the object from the base of the cliff using trigonometry. Specifically, we form an equation using the tangent of the given angle and the known height, solve for the distance, and then substitute the known values to obtain the specific distance.

The subject matter of this question falls in the field of trigonometry as it involves calculating distance using a known height and angle of depression. The object is level with the base of the cliff, and therefore forms a right triangle with the cliff and the sight line from the top of the cliff.

We can use the tangent function to solve this problem. In trigonometry, the tangent of an angle in a right triangle is the opposite side (height) over the adjacent side (distance we're looking for). Given the angle of depression (70°) and the height of the cliff (50 m), we can set up the following equation:

tangent(70°) = height/distance

Moving terms around gives:

distance = height / tangent(70°)

Substituting for height and tangent(70°) we get:

distance = 50 m / tan(70°)

Solving the above equation will give us the distance of the object from the base of the cliff.

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Answer:

285 minutes

Step-by-step explanation:

Well first, how many hours form 7 to 11?

11-7 is 4, thus four hours. Since it is 11:45 and not 11, our answer is 4 hours and 45 minutes. We still need to convert 4 hours to minutes though, to do with we multiply 4 by 60.

4*60=240

Now we add 240 and 45

240+45=285

The answer is 285 minutes.

The required criteria for congruence is SSS criteria.

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

From the given figure for the two triangles,

It is clear that the corresponding sides for both the triangles are equal.

Thus, both the triangles satisfy the congruence criteria os SSS.

Hence, the given two triangles are congruent by the SSS criteria.

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Answer:

Step-by-step explanation:

The formula of an area of a trapezoid:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]

b₁, b₂ - bases

h - height

From the picture we have

[tex]b_1=19yd,\ b_2=5yd,\ h=9yd[/tex]

Substitute:

[tex]A=\dfrac{19+5}{2}\cdot9=\dfrac{24}{2}\cdot9=12\cdot9=108\ yd^2[/tex]

Answer:

The interior angle of 12-gon is [tex]150^{\circ}[/tex]  

The exterior angle of 12-gon is [tex]30^{\circ}[/tex]

Step-by-step explanation:

Given as :

A regular 12-gon is a dodecagonal polygon

i.e The number of sides of the polygon = n = 12

Let The exterior angle of 12-gon = x°

And Let The interior angle of 12-gon = y°

Now,

∵ Exterior angle = [tex]\frac{360^{\circ}}{number of sides}[/tex]

So, exterior angle of 12-gon = [tex]\frac{360^{\circ}}{n}[/tex]

Or, x = [tex]\frac{360^{\circ}}{12}[/tex]

∴ x = [tex]30^{\circ}[/tex]

So,The exterior angle of 12-gon = x = [tex]30^{\circ}[/tex]

Again

∵ Interior angle = [tex]180^{\circ}[/tex] - exterior angle

So, interior angle of 12-gon = [tex]180^{\circ}[/tex] - exterior angle

Or, y =  [tex]180^{\circ}[/tex] -  [tex]30^{\circ}[/tex]

∴ y =  [tex]150^{\circ}[/tex]

So,The interior angle of 12-gon = y = [tex]150^{\circ}[/tex]

Hence, The interior angle of 12-gon is [tex]150^{\circ}[/tex] and The exterior angle of 12-gon is [tex]30^{\circ}[/tex] . Answer

Answer:

[tex]\$36.25+\$3.89x\le \$58.50[/tex]

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so

[tex]\$36.25+\$3.89x\le \$58.50[/tex]

Answer: options C and D

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

A . 2/3 is a rational number because it is a fraction

B . -[tex]\sqrt{81}[/tex] = -9 which could be written as -9/1 , so it is a rational number

C. 5.76262... is irrational because the decimal has no end point

D. [tex]\sqrt{2}[/tex] is a common example of irrational number , because finding the square root of 2 is also continuous .

Therefore , options C and D are irrational

Answer: C. $3709

Step-by-step explanation:

Using the formula to calculate amount(A) , which is given as :

A = p  [tex](1+r)^{n}[/tex] , where

A = amount

P = principal

r = rate

n = number of years

From the question,

A = ?

P = $3000

r = 3.6%

n = 6

substituting into the formula , we have

A = 3000[tex](1+0.036)^{6}[/tex]

A = 3000 [tex](1.036)^{6}[/tex]

A = 3000 (1.236398679)

A = 3709. 196038

To the nearest dollar

A = $3709

Answer:

C) $3722.

Step-by-step explanation:

Given: Carmen invested $3000 in an account that pays 3.6% annual interest compound monthly. To the nearest whole dollar, what will be the balance in her account after 6 years?

The formula to compound interest is:

I = P(1 + R)^T

Put in the terms:

I = $3000(1 + 3.6%)^6

I = $3000(1 + 0.036)^6

I = $3000 x 1.036^6

I = $3000 x 1.23639868

I = $3709.19604

Rounded, that's C) $3722.

Answer:

The world's population is 23 times larger than the United States population.

Step-by-step explanation:

United States population = 3x10^8=300,000,000 or 300 million

The World's population = 7x 10^9= 7,000,000,000 or 7 billion

7 billion divided by 300 million = 23.33333333

7000000000 / 300000000 = 23.333333333