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3 years ago

11

Trevor is preparing dinner plates. He has 18 pieces of chicken and 14 rolls. If he wants to make all the plates identical withou

t any food left over, what is the greatest number of plates Trevor can prepare?

1 answer:

AnnyKZ [126]3 years ago

4 0

Answer:

split the four extra pieces into smaller pieces to were it will give each plate the same amount.

Step-by-step explanation:

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Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constan

BARSIC [14]

Answer:

125/6(In(x-25)) - 5/6(In(x+5))+C

Step-by-step explanation:

∫x2/x1−20x2−125dx

Should be

∫x²/(x²−20x−125)dx

First of all let's factorize the denominator.

x²−20x−125= x²+5x-25x-125

x²−20x−125= x(x+5) -25(x+5)

x²−20x−125= (x-25)(x+5)

∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx

x²/(x²−20x−125) =x²/((x-25)(x+5))

x²/((x-25)(x+5))= a/(x-25) +b/(x+5)

x²/= a(x+5) + b(x-25)

Let x=25

625 = a30

a= 625/30

a= 125/6

Let x= -5

25 = -30b

b= 25/-30

b= -5/6

x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)

∫x²/(x²−20x−125)dx

=∫125/6(x-25) -∫5/6(x+5) Dx

= 125/6(In(x-25)) - 5/6(In(x+5))+C

4 0

3 years ago

The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta

snow_lady [41]

Answer:

The rectangle: <u>L = 40 yards. W = 5 yards</u>

The square: The length and width are both <u>5 yards</u>.

Step-by-step explanation:

<u>Let L and W be the length and width of the rectangle. </u>

<u>Let l and w be the length and width of the square.</u>

Area for each is:

Rectangle: L*W

Square: l*w

We are told that <u>L*W + l*w = 225 yards^2</u>

We are also told that

<u>L = 8W </u>

and that

<u>l = W</u>

Since the sides of a square are all equal, w is also W: <u>w=W</u>

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2 = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W <u>,</u> <u>L = 40 yards. W = 5 yards</u> for the rectangle.

The square: l=W, so <u>l = 5 yards, and thus w=5 yards</u>

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0

1 year ago

Fred was paid $36.00 for working 4 hours. how much is he paid per hour?

bezimeni [28]

He would get paid 9 dollars and hour

3 0

3 years ago

Name the algebraic property demonstrated an example below: 3•(x•y)=(3•x)•y

Jet001 [13]

<span>3•(x•y)=(3•x)•y
</span>
answer
associative property of multiplication

3 0

3 years ago

What is the value of n 9 times 27+2 times31-28

Kay [80]

9•27+2•31-28= ? Is that what you are asking?

8 0

3 years ago