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3 years ago

12

Irma needs to buy 8 1/4 feet of packaging tape. There are 2 3/4 feet of tape on each roll. How many rolls of tape should Irma bu

y?

1 answer:

nignag [31]3 years ago

6 0

Answer: 3 rolls of tape

Step-by-step explanation:

1. Make an equation:

2 3/4x=8 1/4; x=number of rolls of tape

2. Divide both sides by 2 3/4 to isolate x:

x=8 1/4 divided by 2 3/4

3. Simplify:

x=3

Have a nice day! :D

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In parallelogram PQRS, find the value of angle SPR if angle RSP is 75° and angle PRS is 39°.

Mazyrski [523]

The two angles given are two angles of a triangle, so the third angle must be:

SPR=180-RSP-PRS

SPR=66°

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3 years ago

What is the radius, in centimeters, of a circle that has a circumference of 161 centimeters?

elena-14-01-66 [18.8K]

Answer:

25.63694268 = r

Step-by-step explanation:

The circumference is

C = 2*pi*r

161 = 2*(3.14) *r

161 = 6.28 r

Divide each side by 6.28

161/6.28 = r

25.63694268 = r

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2 years ago

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3 years ago

Read 2 more answers

Solve for x: -6(x + 4) + 9 > -5(x + 6)

devlian [24]

Answer:

x < 15

Step-by-step explanation:

Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".

On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:

-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24

On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:

-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30

Now put these back in:

-6(x + 4) + 9 > -5(x + 6)

-6x - 24 + 9 > -5x - 30

-6x - 15 > -5x - 30

x < 15

Thus the answer is x < 15.

Hope this helps!

3 0

2 years ago

A page should have perimeter of 42 inches. The printing area within the page

Tamiku [17]

Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,

Perimeter = 42 inches

⇒ $2(x+y) = 42\\x+y = 21\\y = 21-x$

width of printed area = x-3 & length of printed area = y-2:

area = $length(width)$

$area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57$

Let's find $\frac{d(area)}{dx}$ :

$\frac{d(area)}{dx}$ = $\frac{d(-x^{2}+22x-57)}{dx} = -2x +22$ , for area to be maximum $\frac{d(area)}{dx}$ = 0

⇒ $-2x+22 = 0\\2x =22\\x=11 inches$

And ,

$y = 21-x\\y = 21-11\\y = 10 inches$

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

7 0

3 years ago