Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. The diameter of a pool is 18 centimeters and the depth is 4 centimeters. Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?

Answers

Answer 1

Answer: 6 feet

Step-by-step explanation:

You can use the ratio of the depth to the diameter of the pool in the scale to find out the depth in the yard given the diameter in the yard.

The ratio of the depth to the diameter is;

= 4/18

Given a diameter of 27 feet in the yard, the depth in the yard will be;

= 4/18 * 27

= 6 feet

Answer 2

Answer:

6ft

Step-by-step explanation:


Related Questions

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
classroom?
03 to 4
4 to 3
4 to 7
7 to 4

Answers

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

Answer:

4-3

Step-by-step explanation:

You move left 3 units. You end at -4, -3. Where did you start?

Answers

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

Geometry Please Help.

Find the specific measure below.

Answers

Answer:

55 degrees

Step-by-step explanation:

one triangle has 180 degrees

deg=35 degrees so subtract 35 from 180=145 dgrees.

the square at the bottom center means a 90 degree angle, so subtract 90 from 145=55

A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?​

Answers

Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{16-14}{-1+3}[/tex]Subtract/Add:               [tex]m=\frac{12}{2}[/tex]Divide:                           [tex]m=6[/tex]

Step 3: Find y-intercept b

Define:                    y = 6x + bSubstitute:              16 = 6(-1) + bMultiply:                  16 = -6 + bIsolate b:                 22 = bRewrite:                   b = 22

Step 4: Write linear equation

y = 6x + 22

Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2^(x−5) + 3, g(x) = 2x − 5, h(x) = 8/x + 10
quickly please!!!!

Answers

Answer:

The point where f(x), g(x), and h(x) have the same value is (8, 11)

Step-by-step explanation:

The points where g(x) and h(x) have the same value is given as follows;

2x - 5 = 8/x + 10

2x² - 15x - 8 = 0

Using an online tool, we have;

(x - 8)(2x + 1) = 0

x = 8 or x = -1/2

∴ g(x) and h(x) = 11 or y = -6

For x = 8, we have;

f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11

For x = -1/2, we have;

f(x) = 2^(-1/2 - 5) + 3 = 3.022

Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.

What is the top one :(

Answers

Answer:

All answer below

Step-by-step explanation:

Equation of the Line

The standard form of the equation of a line is shown below:

Ax+By=C

And the slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

If we wanted to convert from the first form to the second we will perform the following operations:

Subtract Ax:

By = -Ax + C

Divide by B:

y = -A/Bx+C/B

The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)

The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.

The y-intercept is the division of C by B. Again, the selected option is correct.

Time = 2hour +12 mins per lightswitch
She charges her customers a call out fee of £35, plus £30 per hour.
How much should a customer be charged for wiring a house with 10 lightswitch?

Answers

Answer:

£395

Step-by-step explanation:

call out fee = 35

30 per hour = 2 hour to be = 60

but, 12 minutes in hour = 12/60 = 0.2

0.2 = 0.2*30 = 6

2 hours and 12 minutes would be charges as

30 + 6 = 36

36*10 = 360

call out fee + per hour = 35 + 360 = 395

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.

Answers

Answer:

15 small boxes and 5 big boxes

Step-by-step explanation:

5 x 3 = 15

15 x 35 = 525

5 x 65 = 325

525 + 325 = 850

|x-8|<13
What is the solution

Answers

Answer:

x = (-5, 21)

Step-by-step explanation:

|x - 8| < 13

1 .

x - 8 < 13x < 8 + 13x < 21

2.

x - 8 > -13x > 8 - 13x > -5

Combined answer

-5 < x < 21x = (-5, 21)

Casey is going to start selling ice cream cones at the county fait. He has to rent the equipment for $26 and spend $0.43 on ingredients for each one. How many ice cream cones must he sell at $1.20 each in order to make a profit?​

Answers

Answer:

34 ice cream cones

Step-by-step explanation:

1.20 - .43 = .77

26 - .77 n > 0

n > 33.77

34 ice cream cones hope this helped

What is standard form of a line?
a. y = mx + b
b. Ax + By = C
c. y - y1 = m(x - x1)
d. y = Ax + By

Answers

B. Ax + By = C
Option A is slope-intercept form, option C is point-slope form.

Solve the formula for the specified variable.
W=X+Xyz for y

Answers

We have to isolate y.

W=X+Xyz

Subtract X from both sides. Doing so, we get the following: W - X = Xyz.

We now simply divide both sides by Xz to isolate y.

(W - X)/Xz = y

Done.

Write an equation of the line given an intercepts. Express in standard form.
1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.

Answers

Answer:

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step explanation:

Standard form of equation is given as:

[tex]Ax+By = C[/tex]

1. x – intercept is 4 and y – intercept is 3.

The points will be:

(4,0) and (0,3)

Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]

Slope intercept form of line is:

[tex]y = mx+b[/tex]

Putting the values of m and b(y-intercept)

[tex]y = -\frac{3}{4}x+3[/tex]

Multiplying whole equation by 4

[tex]4y = -3x+12\\3x+4y = 12[/tex]

2. x – intercept is -2 and y – intercept is 5

The points will be:

(-2,0) and (0,5)

Now

[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]

Putting the values of m and b in slope intercept form

[tex]y = \frac{5}{2}x+5[/tex]

Multiplying the equation by 2

[tex]2y = 5x+10[/tex]

[tex]-5x+2y=10[/tex]

Hence,

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

The quotient of a number and -7 is 8. What is the number?​

Answers

The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx

THREE QUESTIONSS PLEASE HELP !!!
1 . In the equation y=-4x+6, what is the y-intercept?
A.y
B.-4
C.x
D.6
2. Which equation or equations are written correctly in slope-intercept form? *
A.y=0.1x +2
B.f(x)=9.2x-5
C.h(x)=2x +3y
D.y-2=3(x+1)
3 .What is the slope of the equation -8x+4y=10?
A.4
B.-8
C.2
D.10

Answers

Answer:

1. B

2. C

3. C

Step-by-step explanation:

Answer:

1. D: 6      2.A:y=0.1x + 2      3.C

Step-by-step explanation:

1. In y = mx + b, b represents the y-intercept. The equation is alreayd in y = mx +b, so we can see that 6 is b, making it the y-inetrcept.

2. A is the only one written in slope intercept form, or y = mx + b.

3. -8x + 4y = 10 written in slope intercept form is y  = 2x + 5/2. The slope is shown by 2.

The sum of three numbers is 107. The second number is 7 less than the first. The third number is 3 times the second. What are the numbers?

Answers

Answer:

27, 20, 60

Step-by-step explanation:

We use the equation

(x) + (x - 7) + (3 * (x - 7)) = 107

= x + x - 7 + 3 * (x - 7) = 107

= 2x - 7 + 3(x - 7) = 107

Add  7 on both sides

= 2x + 3(x - 7) = 114

Expand the 3

= 2x + 3x - 21 = 114

= 5x - 21 = 114

Add 21 on both sides

= 5x = 135

Divide 5 on both sides

= 5x/5 = 135/5

= x = 27

Plug the functions in

(27) + (27 - 7) + (3 * (27-7)) = 107

You would get

27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60

determine the value of x​

Answers

Answer:

x is an unknown quantity whose value is determined based on any algebraic equation it is used in.

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

Step-by-step explanation:

given that both angles are the same, it is an equilateral right triangle.

we can use Pythagorean's theorem

[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]

What is the slope of the line?

Answers

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)

Answers

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

2x = -y +1
3x + 4y = 14

Answers

Answer:

It wasn’t specified so I just rewrote them slope-intercept form.

1st.

2x=-y+1
y=1-2x
y=-2x+1
If there is no fraction for the m value it is the number you have over 1
y=-2/1x+1

I believe this should help.

2nd.

3x+4y=14
4y=14-3x
Divide both sides by 4
y=7/2-3/4x
y=-3/4x+7/2


Please help me with this

Answers

I think:
Coefficients
Variables
Constant
And finally, Terms

Find the slope of the line that passes through (1, 2) and (2,4).

Answers

Answer: well there's no picture or model of the problem

Step-by-step explanation:

So what I can say is think about what line passes through what I'm assuming the lines that the numbers label, then find the slope of that line that passed through them.

*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check...

J.ulian wants to pay $25 at most for eating out in the month of September. He has already spent $13.72. How much more money can he spend on eating out in September?

Answers

Answer:

Maximum $11.28

Step-by-step explanation:

Let remaining money be x

13.72 + x ≤ 25x ≤ 25 - 13.72x ≤ 11.28

He can spend maximum of $11.28 in September

Find the LCM of the set of numbers. 3,5

Answers

Answer:

The answer for your question is 15

Answer:

The Least common multiple of 5 and 3 is 15

Asthma is a condition in which it can be very hard for a person to breathe in enough air. Would it also be difficult for someone with asthma to exercise?

Answers

Answer:

B, no, as long as the persons cells are getting different types of molecules from food he can still exercise.

Step-by-step explanation:

Help Please!! I will give brainliest!

Answers

If you take the total height and divide it by the number of cases it, it will then give you the heigh of just one case.
90 divided by 6=15
It’s 15 millimeters per DVD case. Then you take 15 and multiply it by 13 to get the total height of the stack of 13 cases.
Hope this helps!

Answer:

15 mm per case is the answer. The full answer is 195 mm.

Step-by-step explanation:

hope this helps:)

Find the slope of the line shown on the graph to the right. The slope of the line is (Type an integer or a simplified fraction) -10 -86 -4 -2.

I know Im stupid, I just need help with this..​

Answers

Answer:

Sup

Step-by-step explanation:

Answer: the slope is one

Step-by-step explanation:

Sorry for the late answer but you better reply ;w;

To my recent question

Please..? I was busy tbh

Divide following polynomials 5x2 - 18x-27/x-5

Answers

Answer:

[tex]\frac{5x^{3}-18x^{2} -5x-27 }{x}[/tex]

Step-by-step explanation:

slope-intercept form of Slope = -9/5, y-intercept = -4

Answers

Answer:

y = - [tex]\frac{9}{5}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{9}{5}[/tex] and c = - 4 , thus

y = - [tex]\frac{9}{5}[/tex] x - 4 ← equation of line

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