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3 years ago

11

Mrs. Clever mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally int

o 5 containers. How much blue paint is in each container? Give your sender in liters

1 answer:

Contact [7]3 years ago

7 0

Amount of blue paint = 1.24 x 3
= 3.72
amount of blue paint in each container = 3.72/5
= 0.744

0.744 litres of blue paint is in each container.

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Identify an equation in point-slope form for the line parallel to y = -x-4 that

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Answer:

parallel: -1

y - 7 = -(x + 1)

y - 7 = -x - 1

y = -x + 6

Step-by-step explanation:

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3 years ago

Jennifer earns $8.50 per hour for regular work time and $10.50 per hour for overtime. Last week, Jennifer worked 43 hours of reg

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Answer:

$433.84

Step-by-step explanation:

First, find the amount of money Jennifer earned for regular work time:

8.50 x 43 = 365.50

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Finally, add them:

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3 years ago

What the method and answer for Q8and9

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4 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

<em> The rocket hit the ground at </em> $x = \frac{5}{4}$ <em></em>

<u><em>Step(ii):</em></u>-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

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<em>The maximum height of the rocket = 12.468 feet</em>

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3 years ago

Jake can cut and split a cord of firewood in 9 fewer hours than Dwight can. When they work together, it takes them 6 hours. How

Luba_88 [7]

Answer:

18 hours for Dwight, 9 hours for Jake

Step-by-step explanation:

If J is the time it takes for Jake working alone, and D is the time it takes for Dwight working alone, then:

J = D − 9

Working together, Jake's speed plus Dwight's speed equals 1 cord per 6 hours.

1 / J + 1 / D = 1 / 6

Solve the system of equations by substituting for J:

1 / (D − 9) + 1 / D = 1 / 6

Multiply both sides by D − 9.

1 + (D − 9) / D = (D − 9) / 6

Multiply both sides by D:

D + D − 9 = D (D − 9) / 6

Simplify and solve:

2D − 9 = (D² − 9D) / 6

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0 = D² − 21D + 54

0 = (D − 3) (D − 18)

D = 3 or 18

Since J = D − 9, D must be greater than 9. So D = 18 and J = 9.

That means it takes Dwight 18 hours working alone, and it takes Jake 9 hours working alone.

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