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andriy [413]
2 years ago
13

If rolando earned $28.50 in 2 hours, how much would he earn in 8 hours?

Mathematics
1 answer:
cricket20 [7]2 years ago
5 0

First, we need to find his unit rate, the amount he earns in 1 hour.

So, we have to divide 28.50 by 2.

That is:

28.50 / 2 = $14.25 per hour

To find the amount he earns in 8 hours, we will need to multiply hourly rate found by "8". So,

14.25 * 8 = $114

<h2>Rolando earns $114 in 8 hours</h2>

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If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
4 years ago
9/6 × 4/5 <br> 1 <br>) 36/11<br>) 6/5<br>) 32/30<br>) 13/15​
erik [133]

Answer:

6/5

Step-by-step explanation:

9×4=36

6×5=30

36/30÷2

18/15÷3

6/5

6 0
2 years ago
The length of a room is 18
Virty [35]

<em><u>Question:</u></em>

The length of a room is 18  1 /2  feet. If using  1 /4  inch = 1 foot scale, what would be the length of a wall on a blueprint of a floor plan?

<em><u>Answer:</u></em>

The length of a wall on a blueprint of a floor plan is 4.625 \text{ or } 4\frac{5}{8} \text{ inches }

<em><u>Solution:</u></em>

Given that,

Length\ of\ room = 18\frac{1}{2} \text{ feet }\\\\Length\ of\ room = 18.5 \text{ feet }

The scale given is:

\frac{1}{4}\ inch = 1\ foot

To find: Length of a wall on a blueprint of a floor plan

Let "x" be the length of a wall on a blueprint of a floor plan

Then from given,

\frac{1}{4}\ inch = 1\ foot\\\\x\ inches = 18.5\ feet

This forms a proportion and we can solve by cross multiplying

\frac{1}{4} \times 18.5 = x \times 1\\\\x = 4.625\\\\In\ terms\ of\ mixed\ fraction,\\\\x = 4\frac{5}{8}

Thus length of a wall on a blueprint of a floor plan is 4.625 \text{ or } 4\frac{5}{8} \text{ inches }

3 0
3 years ago
Read 2 more answers
Which of the following functions best describes this graph?
Stella [2.4K]

Heyyyy!!!!! I'm going to say choice A

8 0
3 years ago
Read 2 more answers
What value must be defined for to remove the discontinuity of this function at ?
olchik [2.2K]

Answer:

Option D. 8

Step-by-step explanation:

we have

f(x)=\frac{x^{2}-16 }{x-4}

Remember that

x^{2}-16 =(x+4)(x-4)

substitute

f(x)=\frac{(x+4)(x-4)}{x-4}

Remove the discontinuity at x=4

Simplify

f(x)=(x+4)

so

Find the value of f(4)

For x=4

f(4)=(4+4)=8

4 0
3 years ago
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