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3 years ago

Tom earned $72 walking dogs for 6 hours. How many total hours will it take tom to earn $96 in all? Solve using unit rates

Mathematics

1 answer:

slava [35]3 years ago

3 0

Answer:

8 hours

Step-by-step explanation:

Step one:

Given data

Tom earned $72 walking dogs for 6 hours

amount earned = $72

time taken = 6 hours

Required

The time taken to earn $96

Step two:

let us find the unit rate of his earning

unit rate = 72/6

= 12 per hour

In 1 hour Tom earns $12

in x hours he will earn $96

cross multiply we have

96*1= 12x

divide both sides by 12

x= 96/12

x=8 hours

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ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

Find the area of the figure ABC

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

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The area of the semicircle is equal to

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we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

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3 years ago

Which expression is equivalent to 8 -(6r+2)

scoundrel [369]

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▹ Answer

6(1-r)

▹ Step-by-Step Explanation

8 - (6r + 2)

8 - 2(3r + 1)

2(4 - (3r + 1))

2(4 - 3r - 1)

2(3 - 3r)

2 * 3(1 - r)

6(1 - r)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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3 years ago

The parallelogram shown below has an area of 21 units 2. Find the missing base B=what units

Jobisdone [24]

Answer:

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Step-by-step explanation:

Area of a parallelogram = base × height

Thus,

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base = b

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Plug in the value into the formula

Thus:

21 = b × 7

Divide both sides by 7

21/7 = b

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Step-by-step explanation:

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Step-by-step explanation:

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