14. Write the improper fraction as a mixed number in simplest form.65/ 8
A. 6 1/7
B. 8 1/8
C. 5 1/8
D. 9 2/7
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15. 45/4
A. 11 1/4
B. 12 1/4
C. 10 1/4
D. 11
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16. Write 4 and 5 eights as an improper fraction and as a mixed number
A. 37/8 , 5 4/8 B. 44/8 , 5 4/8 C. 37/8 , 4 5/8 D. 32/8 , 4 5/8

Answers

Answer 1

Answer: $14.\n(65)/(8)=(64+1)/(8)=(64)/(8)+(1)/(8)=\boxed{8(1)/(8)}\to\boxed{\boxed{B}}\n\n15.\n(45)/(4)=(44+1)/(4)=(44)/(4)+(1)/(4)=\boxed{11(1)/(4)}\to\boxed{\boxed{A}}\n\n16.\n4+(5)/(8)=\boxed{4(5)/(8)}=(4\cdot8+5)/(8)=(32+5)/(8)=\boxed{(37)/(8)}\to\boxed{\boxed{C}}$

Answer 2

Answer:

65/8 would be 8 1/8 in its simplest form

45/4 would be 11 1/4

4 5/8 would be 37/8 as an improper fraction and 4 5/8 is how it would be written as a mixed number

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A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods.Which describes the correct method?
Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
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Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Answers

Answer: Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

4x - x + 5 = 8 - 3x - 3

Combine like terms

4x - x + 5 = 5 - 3x

Subtract x from 4x

3x + 5 = 5 - 3x

Add -3x to both sides

6x + 5 = 5

Subtract 5 from each side

6x = 0

Divide by 6

x = 0

Put 0 into the equation

4(0) - 0 + 5 = 8 - 3(0) - 3

Multiply

0 - 0 + 5 = 8 - 0 - 3

Subtract

5 = 5

Answer:

Step-by-step explanation:

Gina is putting books on a shelf that is 21 2⁄3 inches long. If each book is 2 1⁄3 inch wide, how many books can she fit on the shelf?

Answers

Answer:

Gina can fit approximately 9 books

Step-by-step explanation:

The data set shows the length in inches of seven pieces of wire: 7.9, 6.8, 7.6, 9.9, 10.1, 9.1 and 10.9; What is the mean and median of the seven pieces of wire

Answers

the median would be: 7.9
and the mean would be:7.4714285714 (you are able to chop that down a bit if needed)

Value of the expression 3[5.4+6(2.3)

Answers

your answer will be 57.6

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Answers

First off, there can't be a volume of an area.
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A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct?

Answers

I don't know your options, but here are some facts:
-all their options are sandwiches, and they all cost 5 dollars.

-This means that they can buy 150/5=30 sandwiches. This will make them use the entire budget!

-I would suggest cutting the sandwiches in half, then everyone gets three halves!

and if you say r for roast beef and t for tuna, you can write:

r+t=30.

and you can distribute is freely as long as both are 0 or bigger and their sum is 30!

Answer:

D.The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r + t = 20 and 5 r + 5 t = 150.

Step-by-step explanation:

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