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3 years ago

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Crystal earns $5.50 per hour mowing lawns. A. Write a rule to describe how the amount of money m earned is a function of the num

ber of hours h spent mowing lawns.B. How much does Crystal earn if she works 3 hours and 45 minutes?

1 answer:

Ivahew [28]3 years ago

6 0

She earns $20.625 in 3 hours and 45 mins

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Solve the equation. Please show working :D :)<br> 1/2y-21/4=-35/4 for y

Ganezh [65]

Let's solve your equation step-by-step.<span><span><span><span>1/2</span>y</span>−<span>21/4</span></span>=<span><span>−35/</span>4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>12</span>y</span>+<span><span>−21/</span>4</span></span>=<span><span>−35/</span>4</span></span>Step 2: Add 21/4 to both sides.<span><span><span><span><span>1/2</span>y</span>+<span><span>−21/</span>4</span></span>+<span>21/4</span></span>=<span><span><span>−35/</span>4</span>+<span>21/4</span></span></span><span><span><span>1/2</span>y</span>=<span><span>−7/</span>2</span></span>Step 3: Multiply both sides by 2.<span><span>2*<span>(<span><span>1/2</span>y</span>)</span></span>=<span>2*<span>(<span><span>−7/</span>2</span>)</span></span></span><span>y=<span>−7</span></span>Answer:<span>y=<span>−<span>7</span></span></span>

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3 years ago

What is the ratio of blue paint to red paint in the mixture?

miv72 [106K]

Answer: I think the answer is 5:2 Hope This Helps

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2 years ago

If a pint of cough syrup contains 473 ml of medication, how many full 13 ml doses are in the bottle?

eduard

Answer:

36

Step-by-step explanation:

473/13

= 36 .38

round to the lower whole number

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2 years ago

PLEASE HELP MEEE !!!!

WINSTONCH [101]

Answer:

Step-by-step explanation:

Lets find out first the Area of the rectangle building

A=50*100=5000 ft^2

we have 2 circles with the radius of 42 ft, r=21ft

Acircle=3.14*(21)^2=1384.74

Area of 2 circles=2*1384.74=2769.48

What is not covered by the rings is

5,000.00-2769.48=2230.52, rounded is 2231

Choice A

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3 years ago

Read 2 more answers

2 tan 30°<br>II<br>1 + tan- 300

shusha [124]

Question:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Answer:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

Step-by-step explanation:

Given

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Required

Simplify

In trigonometry:

$tan(30^{\circ}) = \frac{1}{\sqrt{3}}$

So, the expression becomes:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}$

Simplify the denominator

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}$

Express the fraction as:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} / \frac{4}{3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} * \frac{3}{4}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{1}{\sqrt 3} * \frac{3}{2}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3}$

Rationalize

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3\sqrt{3}}{2* 3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\sqrt{3}}{2}$

In trigonometry:

$sin(60^{\circ}) = \frac{\sqrt{3}}{2}$

Hence:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

3 0

3 years ago