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4 years ago

7

Ann sleeps 8 hours per night. Write an expression for the number of hours Ann sleeps in n nights.

1 answer:

lord [1]4 years ago

8 0

8n. 8 represents the number of hours she sleeps, and n represents the number of night she sleeps.

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30 points answer asap!!!!!!!!!!!!!!!!!!!!Which expression represents the lateral surface area of the cone?

Alisiya [41]

Answer:

it would be b

7 0

3 years ago

What percent of 72 is 9? 1/8% 1 1/4% 12 1/2% 125%

USPshnik [31]

Answer:

$12\dfrac 12\%$

Step by step explanation:

$\text{Let it be}~ x\%,\\\\~~~~~72 \cdot x \% = 9\\\\\\\implies 72\cdot \dfrac{x}{100} = 9\\\\\\\implies x = \dfrac{9 \times 100}{72}\\\\\\\implies x = \dfrac{100}{8}\\\\\\\implies x = \dfrac{25}2\\\\\\\implies x = 12 \dfrac 12\\\\\\\text{Hence 9 is}~ 12\dfrac 12\% ~ \text{of}~ 72$

4 0

2 years ago

A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hoses water flow in

Eduardwww [97]

Answer:

1 minute:12 gallons

1 gallon:0.0833 minutes

Step-by-step explanation:

-Let x be the number of minutes and y be the number of gallons.

-Given that 36 gallons flow in 3 minutes, our table ratios can be calculated and represented as below:

$3 \ minutes=36\ gallons\\\\\therefore 1 \ minute=\frac{36}{3}=12 \ gallons\\\\2 \ minutes =12\ gallons \times 2= 24 \ gallons$

#We then calculate minutes per gallon as below:

$36\ gallons =3\ minutes\\\\\therefore 1 \ gallon=\frac{3}{36}\\\\=0.0833\ minutes$

Hence,the flow of gallons per minute and minutes per gallon are represented in table ratios as attached.

7 0

3 years ago

Read 2 more answers

Which of the following represents the slope and y-intercept of the line?

Luba_88 [7]

Answer:

try hard

Step-by-step explanation:

7 0

3 years ago

A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time

galben [10]

Answer:

The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

$B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$A = \bar y - B \bar x - C \bar {x^2}$

$S_{xx} = \Sigma (x_i - \bar x)^2$

$S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)$

$S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})$

$S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2$

$S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})$

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

C = -15.41986006

Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

8 0

3 years ago