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marin [14]
2 years ago
13

Katie bought 2 one gallon bottles for a party. Her guest drank 5/4 gallons of juice. What is the fraction of juice leftover? Sho

w a number line to explain
Mathematics
1 answer:
frosja888 [35]2 years ago
7 0

Answer:

3/4 gallons of juice

Step-by-step explanation:

Katie bought 2 one-gallon bottles for a party.

2 one-gallon bottles = 2-gallon bottles of juice

We are told that:

Her guest drank 5/4 gallons of juice.

The fraction of juice leftover is calculated as:

2 gallons of juice - 5/4 gallons of juice

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

= 8 - 5/4

= 3/4 gallons of juice

Therefore, the fraction of juice leftover is 3/4 gallons of juice

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Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify the formula and reduce a
NemiM [27]

Answer:

an = 4/3n - 13/3.

Step-by-step explanation:

The first term is a1,

a24 = a1 + 23d

83/3 = a1 + 4/3* 23

a1 =    83/3 - 92/3

a1 = -9/3 = -3.

So the nth term an =  -3 + 4/3(n - 1)

an = -3 + 4/3 n - 4/3

an = 4/3n - 13/3

6 0
3 years ago
You have a set of nested boxes whose lengths vary directly with their widths. One box is 2.5 in, wide and 5.5 in. long. A second
Anna11 [10]

Answer:

B

Step-by-step explanation:

If you're looking for direct correlation, you're looking for a proportion for the second box. So you set the ratio of 2.5:5.5 up as a fraction. 2.5/5.5 and set it equal to the second box 3/x.

2.5     =      3

5.5             x

cross multiply

16.5=2.5x

and divide

16.5/2.5 and you get your answer

7 0
2 years ago
(x + x - 8x? - 13x - 7) = (x + 2)
WINSTONCH [101]
Why is there a question mark?
7 0
3 years ago
The sum of 5 consecutive integers is 265. What is the fifth number in this sequence ?
Yanka [14]
Hello,
Let's assume n,n+1,n+2,n+3,n+4 the 5 numbers

n+(n+1)+...+(n+4)=5n+10=265
5n=265-10
5n=255
n=51
The 5th number is 51+4=55

6 0
3 years ago
Write an expression that is equivalent to three over four (5z+ 16).
sattari [20]

Your answer is 15 over four z + 12. Using the distributive property, 3/4 • 5z equals 15/4z, which can't be simplified. Then 3/4 of 16 is 12. If you divide 16 by 4 (the denominator) and then multiply by 3 (the numerator) that yields your answer.

8 0
2 years ago
Read 2 more answers
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