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OverLord2011 [107]
3 years ago
6

Need help with number 3

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0
A. 8 books per shelf.
So you find the greatest common denominator of 32 and 56.
\frac{32}{56}  \div 8 =  \frac{4}{7}
B. 11 shelves
The max # of books per shelf would be 8.
4 shelves of mystery and 7 shelves of biography.
4 + 7 = 11

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A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.


5 0
3 years ago
How do I write the sum of two numbers as the product of Their GCF and another sum with 32 and 20?
mina [271]
32+20=4(8+5)
4 0
3 years ago
Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know
telo118 [61]

Answer: Yes

Step-by-step explanation:

A: 12 minutesAnswer to B: 36 minutesAnswer to C:

4 0
3 years ago
Some algae contains up to 50% oil by weight. How much oil is in a 7.3-ounce sample of this type of algae?
frutty [35]

Answer: 3.65

Step-by-step explanation:

This question is asking basically what is 50% or 1/2 of 7.3.

Let's expand the number 7.3

Then, we end up getting 7.30.

We have to find 1/2 of 7.30.

\frac{1}{2} of 7.30 = 3.65

Hope this helps you!

5 0
2 years ago
Angle x and y are complementary. Angle x is supplementary to a 128º angle.
tiny-mole [99]

Answer:

x = 52

y = 38

Step-by-step explanation:

Angle x is supplementary to a 128º angle.

Supplementary angles add to 180

x+128 = 180

Subtract 128 from each side

x+128-128 = 180-128

x =52

Angle x and y are complementary.  

Complementary angles add to 90

x+y =90

52+y =90

Subtract 52 from each side

52-52 +y = 90-52

y = 38

4 0
3 years ago
Read 2 more answers
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