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Marrrta [24]
3 years ago
5

yuko is volunteering at the food bank. He is creating thanksgiving food baskets to give to local families. He has 192 cornbread

muffins, 96 cans of vegetables and 64 boxes of stuffing mix. What is the greatest number of baskets yuk can create if he wants to use all of the items and have the same number of each item in each basket? how many of each item will be in a basket?
Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

  • 32 baskets
  • 2 boxes of stuffing mix, 3 cans of vegetables, 6 cornbread muffins

Step-by-step explanation:

The greatest common factor (GCF) will be the greatest number of baskets yuko can create. We can examine the factoring of these numbers to see what it might be.

  64 = 2^6

  96 = 2^5 × 3

  192 = 2^6 × 3

The unique factors are 2 and 3, and the lowest powers of each are 5 and 0, respectively. Then the GCF is ...

  2^5 × 3^0 = 32 × 1 = 32

After the factor of 32 is removed from each of these numbers, we have ...

  64 = 32·2    boxes of stuffing mix

  96 = 32·3    cans of vegetables

  192 = 32·6   cornbread muffins

These other factors are the numbers of the corresponding item that will be in each of the 32 baskets:

  • 2 boxes of stuffing mix
  • 3 cans of vegetables
  • 6 cornbread muffins
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Answer:

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4 0
3 years ago
I’m doing homework corrections can someone help me with this one
salantis [7]

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3 years ago
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USPshnik [31]
<h3>Answer:  Choice D)  7.5 cm</h3>

==========================================================

Explanation:

We are told that quadrilateral ABCD is similar to quadrilateral EFGH.

The order of the four letter sequence is important.

  • For ABCD, we have AB as the first pair of letters.
  • For EFGH, we have EF as the first pair of letters.

Therefore, AB and EF are corresponding sides.

So AB = 10 and EF = x pair up together. We can form the ratio AB/EF which becomes 10/x.

The diagram shows that AD = 8. Notice that A and D are the first and last letters of ABCD. The first and last letters of EFGH are E and H. We can see that AD and EH correspond to one another because of this.

AD = 8 and EH = 6 forming the ratio AD/EH = 8/6

Because the quadrilaterals are similar, the corresponding ratios must be the same. Therefore, AB/EF is the same as AD/EH.

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

Let's set up a proportion to solve for x

AB/EF = AD/EH

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10*6 = x*8

60 = 8x

8x = 60

x = 60/8

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2 years ago
If f(x)=1/9x-2 , what is f–1(x)?
Anna71 [15]
Lets get started :)

f(x) = \frac{1}{9}x - 2
 y   = \frac{1}{9}x - 2
This is the original equation, and now we have to find the inverse.

When finding the inverse, just flip the variables, x as y and y as x

f ⁻¹(x) 
  ↓
x = \frac{1}{9}y - 2
We have to isolate y as it is our f ⁻¹(x)

Take 2 to the other side { When you see subtraction, you do addition }
x + 2 = \frac{1}{9} y

Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y

f ⁻¹ (x) = 9x + 18


7 0
3 years ago
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