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3 years ago

Write words to match the expression (5x2)x(3x15)

1 answer:

8 0

First multiply what's within the parentheses.

(Five times 2 = ten) times ( three times fifteen= 45)

(Ten) times (45) equals 450

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Solve for x -4(2x-3)= -36

ki77a [65]

Answer:

x=6

Step-by-step explanation:

-4(2x-3)=-36

-8x+12=-36

-8x=-48

x=6

4 0

3 years ago

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

Two friends Ana and Juan are buying books by joining the History Book

Travka [436]

Answer:

Ana spent $17 per book on average.

Juan spent $14.78 per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

= $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana spent $17 per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

= $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan spent $14.78 per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0

3 years ago

Please answer this<br><br><br> will mark brainliest

AlexFokin [52]

Between 2 and 3, should be somewhere before .5

7 0

3 years ago

Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript ne

lapo4ka [179]

-3

Step-by-step explanation:

(6-2* 6+5)-2

8 0

3 years ago

Read 2 more answers