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1 year ago

A construction crew is lengthening a road that originally measured 53 miles. The crew is adding one mile to the road each day.

Mathematics

1 answer:

natta225 [31]1 year ago

7 0

Answer:

Equation: 1=1

Length of the road after 16 days: 16 miles (if not adding to 53. if adding to 53, the answer is 69)

Explanation:
If they add one mile of road every day, its 1(mile) = 1(day.
Since its one mile every day, 16 days is 16 miles. Adding 53 + 16 = 69

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

What fraction is equal to 6

faust18 [17]

Answer:

6/1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

9^y-3=8 JUST DO IT! PLZ...

aleksley [76]

Hello My Dear Friend!

$9^y-3=8$ 
We move all terms to the left:
 $9^y-3-(8)=0$ 
We add all the numbers together, and all the variables
 $9^y-11=0$ 
We move all terms containing y to the left, all other terms to the right
 $9^y=11$
$y=11/1$
$y=11$

I Hope my answer has come to your Help. Thank you for posting your question here in $Brainly.$ We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

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7 0

3 years ago

Real answers and explanations ONLY! I’ll name you brainiest if correct

Juli2301 [7.4K]

Answer:

1/10⁶ or 0.000001

Step-by-step explanation:

For every time you have a probability of getting 1 is:

P(1) = 1/10

For all 6, the probability of outcome of 1 is:

P(1x6) = (1/10)⁶ = 0.000001

8 0

2 years ago

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which dete

zysi [14]

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

To calculate the number of hours worked, we need to use the following formula:

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

number of hours= 348 / 7.25

number of hours= 48 hours

6 0

2 years ago