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3 years ago

11

a person's rectangular dog pen for his dog must have an area of 300 square feet also the length must be 40 feet longer than the

width find the dimensions of the pen

1 answer:

Tema [17]3 years ago

4 0

The with should be 7.5 feet

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A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was

mamaluj [8]

Solving a system of equations, we can see that:

Speed of the private jet: 168 mi/h
Speed of the commercial jet: 192mi/h

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

P = speed of the private jet.
C = speed of the commercial jet.

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

brainly.com/question/13729904

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2 years ago

A bag contains green marbles and red marbles, 77 in total. The number of green

PilotLPTM [1.2K]

Answer:4

Step-by-step explanation: 77 in total

subtract 77 from 1 to get 76, multiplied by 4 would get you 304. and how many times would 77 go into 304. divide it from 77 and you will get 4.

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3 years ago

Use the frequency table to find the mean number of working TV sets in students' homes. (picture attached)

LenaWriter [7]

The correct option is : 2

<u><em>Explanation</em></u>

For finding the mean number of working TV sets, we need to <u>divide the total number of TV sets by the total frequency</u>.

Now for finding the total number of TV sets, first we will <u>multiply each number of TV sets by it's frequency and then sum up all the results</u>.

So, the total number of TV sets

$=(0*1)+(1*8)+(2*9)+(3*4)+(4*3) \\\\ =0+8+18+12+12=50$

and total frequency $=1+8+9+4+3= 25$

Thus, the mean number of working TV sets $= \frac{50}{25}=2$

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3 years ago

What is the slope of a line perpendicular to y = -3/7x + 1 (Answer as an improper fraction and not a mixed number or decimal)

Veseljchak [2.6K]

For lines to be perpendicular they would need to have opposite slopes, so for a slope of -3/7 the slope of a perpendicular line would be 7/3

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3 years ago

Which is shorter ? 6/10 of an meter or 1/10 of a meter

Korolek [52]

Answer:

1/10

Step-by-step explanation:

6/10 is more than 1/10 bc 6 is bigger than 1 :)

8 0

3 years ago

Read 2 more answers