Dana records the heights and the shoe sizes of the girls on her volleyball
team. She plots the data and makes a scatterplot comparing shoe size and
height. Dana finds that the trend line that best fits her results has the equation
y = 2x+52
70
72
Height (inches)
55
Shoe size
If a girl on her team wears a size 4 shoe, how many inches tall would Dana
expect her to be?
O A. 60 inches
B. 62 inches
C. 58 inches
D. 57 inches
.

Answer:

The equation of a line in point-slope form is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣aay−y1=m(x−x1)aa∣∣−−−−−−−−−−−−−−−−−−−−−−

where m represents the slope and (x1,y1) a point on the line.

To calculate the slope use the gradient formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣aam=y2−y1x2−x1aa∣∣∣−−−−−−−−−−−−−−−−−

where (x1,y1) and (x2,y2) are 2 coordinate points.

here the 2 points are (-3 ,4) and (0 ,3)

let (x1,y1)=(−3,4) and (x2,y2)=(0,3)

⇒m=3−40+3

Step-by-step explanation:

this is guid to answer that hope it help to you mahar

Answer:

5 days.

Step-by-step explanation:

Jasmine has two options:

Rent skis at the resort for $30 per day.

Then if she rents the skis for N days, the cost will be:

C(N) = N*$30

Buy skis for $150

Now we can ignore the lift pass because she will pay that in both cases.

Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.

Then we need to solve:

C(N) = $150

N*$30 = $150

N = $150/$30 = 5

So if you rent the skis for 5 days, you will pay the same as if you bought the skis.

Answer:

[tex]Pr = \frac{9}{49}[/tex]

Step-by-step explanation:

Given

[tex]d = 28[/tex] --- big circle

[tex]A_2 = 36 \pi[/tex] --- area of small circle

Required

Probability that a point selected lands on the small circle

Calculate the area of the big circle using;

[tex]A_1 = \pi r^2[/tex]

Where

[tex]r = d/2[/tex]

So, we have:

[tex]r = 28/2 = 14[/tex]

This gives:

[tex]A_1 = \pi * 14^2[/tex]

[tex]A_1 = \pi * 196[/tex]

[tex]A_1 = 196\pi[/tex]

The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle

This gives:

[tex]Pr = \frac{36\pi}{196\pi}[/tex]

[tex]Pr = \frac{36}{196}[/tex]

Simplify

[tex]Pr = \frac{9}{49}[/tex]

Answer:

0.966

Step-by-step explanation:

483:500 = 0.966

i hope this is right x

The required ratio would be 0.966 which is expressed in decimal form.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Josh wrote 483 out of an expected 500 words from his essay which is given in the question.

According to the given information, the ratio would be written as:

⇒ 483 : 500

⇒ 483 / 500

Apply the division operation, and we get

⇒ 0.966

Therefore, the required ratio would be 0.966 which is expressed in decimal form.

Learn more about the Ratios here:

brainly.com/question/1504221

#SPJ2

Answer:

270,000,000,000

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

expense is usually done everywhere.

Answer:

A

Step-by-step explanation:

Cash

Answer:

Step-by-step explanation:

taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?

Answer:

x = 48

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

156° is an exterior angle of the triangle, then

108 + x = 156 ( subtract 108 from both sides )

x = 48

Answer:

29 3/4 cups

Step-by-step explanation:

total amount of tanner in the 3 containers = sum of tanners in each container

total cups in containers b and c = 2/3 x 12 3/4

2/3 x 51/4 = 17/2 cups or 8 1/2 cups

total capacity = 8 1/2 + 8 1/2 + 12 3/4 = 17 + 12 3/4 = 29 3/4

Answer:

the answer is C

Step-by-step explanation:

Answer:

A its 10

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,

2.5 * 16 = 40

40 * 16 = 640

640 * 16 = 10,240

Meaning that the values have a common ratio of 16, and are increasing exponentially.

Answer:

-3 - 1 = 4/9(-5 - 4)

Step-by-step Explanation:

Point-Slope form uses the formula y-y1=m(x-x1).

m is the slope, which they gave you, so you can substitute it into the formula:

y - y1 = 4/9(x - x1).

They also gave you a first point (-5, -3) So you can substitute the x and y of those into the formula as well.

-3 - y1 = 4/9(-5 - x1)

y1 and x1 are for another point. By drawing a graph and then using the rise and run of the slope (up 4 and over 9), you can get another point (as shown in the picture).

Substitute the x and y values of that point into the equation as well and you have your answer:

-3 - 1 = 4/9(-5 - 4)

Answer:

slope=4

Step-by-step explanation:

[tex]m=\frac{change(y)}{change(x)}[/tex]

[tex]m=\frac{-8-(-4)}{-5-(-4)}[/tex]

[tex]m=\frac{-4}{-1}[/tex]

[tex]m=4[/tex]

Answer:

22.6%

Step-by-step explanation:

1. 14% do not have a pet now and have never had a pet & 62% do not have a pet now.

2. 0.14/0.62

3. Divide = .2258

4. Multiply by 100 = 22.58

5. Round = 22.6%

I hope this helps! Have a wonderful day!

Answer:

[tex]B' = (-2,-3)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,-4)[/tex]

[tex]B = (4,-6)[/tex]

[tex]C = (2,-1)[/tex]

reflection across y

[tex]d = \frac{1}{2}[/tex]

Required

New coordinate of B

When reflected across the y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex](4,-6) \to (-4,-6)[/tex]

Next is a dilation by 1/2

To do this, we multiply the new point by 1/2

So:

[tex]B' = (-4,-6) * \frac{1}{2}[/tex]

[tex]B' = (-4* \frac{1}{2},-6* \frac{1}{2})[/tex]

[tex]B' = (-2,-3)[/tex]

Answer:

x = -3

y = 2

Step-by-step explanation:

Let the two integers be x and y

sum is -1

x + y = -1 •••(i)

x-y = -5 •••••(ii)

From ii, x = -5 + y

substitute into i

-5 + y+ y = -1

-5 + 2y = -1

2y = -1 + 5

2y = 4

y = 4/2

y = 2

Recall;

x = -5 + y

x = -5 + 2

x = -3

Answer:

5

Step-by-step explanation:

f(n)=3n^2-7

f(-2)=3(-2)^2-7

f(-2)=3(-2)(-2)-7

f(-2)=3(4)-7

f(-2)=12-7

f(-2)=5

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

Answer:

$230.65

Step-by-step explanation:

$179 marked down by 35 % = $116.35

computer mount= $99

cell holder= $56

total= $271.35

marked down by 15% = $230.65 (230.6475)

36 minutes

Going through the question in bits:

i. Two people together can do a certain job in 20 minutes.

This implies that the time taken to finish the job is 20 minutes.

This also means that in 1 minute, they will do [tex]\frac{1}{20}[/tex] of the job i.e the rate at which the job is done by the two of them is [tex]\frac{1}{20}[/tex]

ii. If one of them can do the job in 45 minutes.

This implies that the time taken by one of them to finish the job is 45 minutes.

This also means that in 1 minute, he will do [tex]\frac{1}{45}[/tex]  of the job. i.e the rate at which the job is done by one of them is [tex]\frac{1}{45}[/tex]

iii. let the other person do the job in x minutes.

This implies that the time take by the other person to finish the job is x minutes.

This also means that in 1 minute, he will do [tex]\frac{1}{x}[/tex] of the job. i.e the rate at which the job is done by the other person is [tex]\frac{1}{x}[/tex]

Now,

The rate by which the job will be done by the two of them combined is the sum of the individual rates.

i.e

[tex]\frac{1}{20}[/tex] = [tex]\frac{1}{45}[/tex] + [tex]\frac{1}{x}[/tex]

Multiply through by 90x and solve

(90x * [tex]\frac{1}{20}[/tex]) = (90x *  [tex]\frac{1}{45}[/tex]) + (90x *  [tex]\frac{1}{x}[/tex])

4.5x  = 2x + 90

4.5x - 2x = 90

2.5x = 90

x = [tex]\frac{90}{2.5}[/tex]

x = 36

Therefore it will take the other person 36 minutes to finish the job.

Answer:x=57

Step-by-step explanation:

isolate x by subtracting 17 from both sides, you should get x = 74-17, which is 57.

Answer:

216in

Step-by-step explanation:

6 + 8 + 10 = 24

24 * 9 = 216

Answer:

Hello! answer: 105

Step-by-step explanation:

When doing these for squares you have to do base × height and for triangles you do base × height ÷ 2 So Lets do the triangles sense there more complex so we can get them out of the way. The base for the triangles our 5 and the height is 8 so we will do 5 × 8 = 40 now we will just divide that by 2 so 40 ÷ 2 = 20 now sense we have four identical triangles we will just multiply 20 by 4 so 20 × 4 = 80 now for the 1 in the middle its nice and simple just 5 × 5 so 5 × 5 = 25 now we just add 80 + 25 and 80 + 25 = 105 So 105 is the area! Hope that helps!

Answer: [tex](-3,18),\ (3,6)[/tex]

Step-by-step explanation:

Given

Functions are [tex]x^2-2x+3\ \text{and}\ -2x+12[/tex]

Equate them to solve

[tex]x^2-2x+3=-2x+12\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3\\\therefore y=6,18\\\text{Ordered pairs are}\\(-3,18),\quad (3,6)[/tex]

Answer:

15%

Step-by-step explanation:

You kind of have two ways to do this:

Way 1:

Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.

You can divide 100 by 6.66666667, and get 15%,

Way 2:

Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%

Hope that helps :)

Answer:

∠C ≈ 11.978°

Step-by-step explanation:

sin (∠C)/5 = sin (95°)/24

=> sin (∠C) = 5 × sin (95°) ÷ 24

=> ∠C = [tex]sin^{-1}[/tex](5 × sin (95°) ÷ 24)

=> ∠C ≈ 11.978°

Answer:

2.85125 is the answer.

Step-by-step explanation:

according to the calculator

Answer:

2.75124851367

Step-by-step explanation:

8/8.41=951248513674+1.8=2.75124851367 so its 2.75124851367

Answer:

It depends what your asking, if you do the problem your full answer is 409 because your muplitying tand then finding the sum before Equally the answer so that's what could find. I really hope this helps you out.

Answer:

It depends what your asking, if you do the problem your full answer is 409 because your muplitying tand then finding the sum before Equally the answer so that's what could find. I really hope this helps you out.

Hope this helps  :)

Answer:

24

Step-by-step explanation:

A= ( 1 - r/100 ) P

135= (1 - 15/100 ) P

135= 0.85P

135/0.85= P

159= P

159- 135 = 24