4/9 of the people at a party drink Mountain Dew, the rest drink Sprite. If 52 people drink Mountain Dew, how many people drink Sprite?

fabric squares Madison needs

= circumference of the mirror= 2πr

[tex]2 \times 3.14 \times 14 \\ = 87.96 = 88 cm[/tex]

The solution to the given inequality is x ≥ 6

Given the inequality expression

Subtract 2 from both sides

2 - 3x -2 ≤ - 16 - 2

-3x ≤ - 18

Divide both sides by -3

-3x/-3  ≥ - 18/-3

x ≥ 6

Hence the solution to the given inequality is x ≥ 6

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Answer:

35h + 85 = 225

Step-by-step explanation:

Since the shop charges $35 per hour, multiply h by 35 like this: 35h

$85 is already added on top of that, so add 85 to it like this: 35h + 85

All of this has to equal 225 since Amelia paid $225

35h + 85 = 225

The inverse of the function for square feet, gives the area in square yard

from which the cost of the flooring is calculated as $539.7.

Response:

a. The inverse [tex]\underline{f^{-1}(x) = \dfrac{x}{9}}[/tex] can be used by the Clearys to calculate the cost if the flooring.

b. $539.7

Given:

The dimensions of the flooring = 15 foot by 18 foot

Cost of the new flooring =  $17.99/yd.²

The formula that converts square yards to square feet is f(x) ≈ 9·x

a. The inverse function gives the x-values as an output from an input of

the y-value.

The inverse of the function, f⁻¹(x), is the function that converts square

feet to square yards, which is given as follows;

The significance of f⁻¹(x) for the Clearys is that it gives the number of

square yards required for the flooring from the square feet, from which

the cost of the flooring can be calculated.

b. The cost of the new flooring is therefore;

[tex]Cost = \$17.99/yd.^2 \times f^{-1}(x) = \$17.99/yd.^2 \times \dfrac{15 \, ft. \times 18 \, ft. }{9} = \mathbf{\$539.7}[/tex]

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Answer:

-9. 125

Step-by-step explanation:

.

Answer:

m∠C = 107°

Step-by-step explanation:

there are 4 sides so we first need to find the total interior angle:

m∠C = 360° - 90° - 90° - 73°

         = 107°

Answer:

The wedding planner must have purchased 28 small lanterns and 12 large lanterns.

Step-by-step explanation:

Using relations in a right triangle, it is found that

The relations in a right triangle are given as follows:

In this problem, the situation is modeled by the graph given.

First, we have to remember that the sum of the internal angles of a triangle is of 180º, hence:

The angle formed at Maria's position measures 50 degrees.

Then, for the distance from Maria to Ava, which is the hypotenuse:

[tex]\sin{50^\circ} = \frac{12}{h}[/tex]

[tex]h = \frac{12}{\sin{50^\circ}}[/tex]

[tex]h = 15.66[/tex]

Hence:

The distance from Maria to Ava is 15.66 feet.

Finally, for the distance from Lucas to Maria:

[tex]\sin{40^{\circ}} = \frac{d}{15.66}[/tex]

[tex]d = 15.66\sin{40^{\circ}} = 10.07[/tex]

The distance from Lucas to Maria is 10.07 feet.

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Answer:

16

Step-by-step explanation:

Total length=3.2mile

Trashcans length=0.2mile

3.2 / 0.2 =16

Answer:

I'm pretty sure 10% of 82 is 8.2 and 60% of 82 is 49.2

If I'm wrong I'm sorry.......

Step-by-step explanation: I hope you have/had an amazing day<3

Answer:

c brainliest

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

2(2b-4)+5=7+2b

4b - 8 + 5 = 7 + 2b

4b -3 = 7 + 2b

4b - 2b = 7 + 3

2b = 10

b = 10/2

b = 5.

it can have only 5 as solution that will be only one solution if we change the value of 5 to other number then the answer will be wrong

Answer:

m = 903

Step-by-step explanation:

99+m=1002

Subtract 99 from both sides.

m=1002−99

Subtract 99 from 1002 to get 903.

m=903

Answer:

M=903 pls mark brainliest(little crown)

Step-by-step explanation:

Subtract 99 from both sides.

m=1002−99

Subtract 99 from 1002 to get 903.

m=903

ATQ

[tex]\\ \tt\hookrightarrow 12+2.5r=95.75[/tex]

[tex]\\ \tt\hookrightarrow 2.5r=95.75-12=83.75[/tex]

[tex]\\ \tt\hookrightarrow r=83.75/2.5[/tex]

[tex]\\ \tt\hookrightarrow r=33.5[/tex]

Answer:

8.6

Step-by-step explanation:

5.16 x 10 = 51.6 , 0.6 x 10 = 6,      6  divided by 51.6 = 8.6

Answer:

5.16 ÷ 0.6 = 8.6 Its easier in the algorithm way

Answer:

21 pints

Step-by-step explanation:

In the paint, the ratio of yellow to blue is 7:3

7:3

x : 9

To find maintain the equivalent ratio and find x, we multiplied both sides of 7:3 by 3

21 : 9

The answer should be 21 pints

Hope this helps :)

Have an awesome day!

Answer:

33 7/9

Step-by-step explanation:

Therefore, the answer is 33 7/9.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

7:10

Step-by-step explanation:

1) to determine the equation of the line with the given points (-2;3) and (4;5):

[tex]\frac{x+2}{4+2} =\frac{y-3}{5-3}; \ => \ \frac{x+2}{3} =\frac{y-3}{1}; \ <=> \ x-3y=-11.[/tex]

2) to calculate the coordinates of intersection point:

[tex]\left \{ {{4x+5y=21} \atop {x-3y=-11}} \right. \ <=> \ \left \{ {{y=\frac{65}{17}} \atop {x=\frac{8}{17}}} \right.[/tex]

3) to calculate the required ratio:

[tex]\frac{d_1}{d_2}=\frac{\sqrt{(-2-\frac{8}{17} )^2+(3-\frac{65}{17} )^2}}{\sqrt{(4-\frac{8}{17} )^2+(5-\frac{65}{17} )^2}}=\frac{7}{10}.[/tex]

I believe the answer would be A

Scale factor is the ratio of representation measurement of the figure to the original figures.

The actual dimensions of the kitchen is 12 ft by 14 ft.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Given information-

Dimensions of the balcony of the apartment is 4 ft by 7 ft or 48 in by 84 in (multiplying it by 12 to convert in inches).

Dimensions of the balcony of the apartment is 0.8 ft by 1.4 in on the scale of drawing.

Dimensions of the kitchen is 2.4 inches by 2.8 inches on the scale of drawing.

The scale factor of the width of the balcony is the ratio of scale dimension of width and the actual dimension of the width . Thus,

[tex]r=\dfrac{0.8}{48} \\r=\dfrac{1}{60}[/tex]

The scale factor of the length of the balcony is the ratio of scale dimension of length and the actual dimension of the length . Thus,

[tex]r=\dfrac{1.4}{84} \\r=\dfrac{1}{60}[/tex]

Thus the scale factor of the length and width of the scale is same which is 1/60.

As the scale is same for the balcony and the kitchen. Thus the scale factor would also be same.

The scale factor of the width of the  kitchen is the ratio of scale dimension of width and the actual dimension of the width .

Let the width of the kitchen is x in.Thus

[tex]\dfrac{1}{60}=\dfrac{2.4}{x} \\x=144\rm in[/tex]

Thus the width of the kitchen is 144 in or 12 ft.

The scale factor of the length of the  kitchen is the ratio of scale dimension of length and the actual dimension of the length .

Let the length of the kitchen is y in. Thus

[tex]\dfrac{1}{60}=\dfrac{2.8}{y} \\y=168\rm in[/tex]

Thus the length of the kitchen is 168 in or 14 ft.

Hence, the actual dimensions of the kitchen is 12 ft by 14 ft.

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Answer:

The minimum is y=-5. The max would be y=1

Step-by-step explanation:

because y=5  and the max would be y=1

Answer:

its -4

Step-by-step explanation:

i took the test :)

Answer:

0.064

Step-by-step explanation:

  25000(1-0.8)^8

= 25000(0.2)^8

= 0.064

Answer:

Step-by-step explanation:

0.064

Answer:

Step-by-step explanation:

1) Sample space - the set of all possible outcomes for an experiment

2) Theoretical probability - A ratio representing the likelihood of an event

3) Uniform probability model - A probability model in which each of the outcomes in the sample space are equally likely, or have the same probability

Hope it helps :))

Answer:

y=3/2x+2

Step-by-step explanation:

y=slope*x+y intercept, slope=Rise/run, slope=3/2 y intercept= x=0 y=2

Answer: 2500 grams

Step-by-step explanation: 2.5 x 1000 = 2500

Answer:

length = 20 inches

width = 10 inches

Step-by-step explanation:

Perimeter = twice the length plus twice the width

60 = 2(2x) + 2(x)

60 = 4x + 2x

60 = 6x

x = 10

2x = 20

Answer:

length = 20 inches

width = 10 inches

Step-by-step explanation:

Perimeter = twice the length plus twice the width

60 = 2(2x) + 2(x)

60 = 4x + 2x

60 = 6x

x = 10

2x = 20

Answer:

9, 9x, 18x

Step-by-step explanation:

Hence the B. I hope this helps love!

The terms that complete the factorization of x^2+27x+162 is represented by the model is 9, 9x, 18x

Polynomial are functions that has a degree of 3. Given the quadratic function expressed as:

x^2+27x+162

Factorize

x^2+27x+162

x^2+9x+18x+162

x(x+9)+18(x+9)

(x+18)(x+9)

Hence the terms that complete the factorization of x^2+27x+162 is represented by the model is 9, 9x, 18x

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Step-by-step explanation:

y=2 is just y = 0x + 2 so basically m=0 and b=2

The given line has a slope of 0 and y-intercept form and levi's reasoning is not correct.

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The line y=2

Now y=2 can be rewritten as y=0.x+2

which can be interpreted as a line with slope=0 or the line is parallel to x-axis and has its y-intercept at y=2

Thus the equation was rewritten in slope intercept form and thus is a linear equation.

Hence, The given line has a slope of 0 and y-intercept form and levi's reasoning is not correct.

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Answer: 2.5

Step-by-step explanation: you have to find the unit rate so you want to know what the constant rate is which if you divide 5 by 2 you get 2.5 and if you multiply 2.5 times 2 you get 5