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solong [7]
3 years ago
9

You have 16 digs for your current volleyball season. There are 3 games left in the season. You want to break your previous recor

d of 20 digs in a
season. Write and solve an inequality that represents the number of digs you must get in the remaining 3 games to break your record
Mathematics
1 answer:
g100num [7]3 years ago
3 0

Answer:

we must get more than 4 digs in the remaining 3 games break record of 20

Step-by-step explanation:

given data

current volleyball season = 16 digs

games left in the season = 3

previous record = 20 digs

solution

we consider here the number of digs  x that must get in the remaining 3 games to break your record

so for break  previous record of 20 digs, we have to get more than 20  

so 16 digs must add to x to greater than 20

x + 16  ≥ 20   ...............................1

so x will be

x ≥ 20 - 16

x ≥ 4  

so that we must get more than 4 digs in the remaining 3 games break record of 20

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6 0
3 years ago
A bag with 2 1/2 quarts of peanuts can make 2 1/6 jars of peanut butter. How many
diamong [38]

Answer:

You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter

Step-by-step explanation:

To make this answering seamless, we make the mixed fractions into improper fractions

Hence 2 1/2 becomes 5/2

while 2 1/6 becomes 13/6

Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter

Hence, x quarts of peanuts will make 3 jars of peanuts butter

To get the value of x, what we simply need to do is to cross multiply.

Thus, we have

5/2 - 13/6

x - 3

3 * 5/2 = 13/6 * x

15/2 = 13x/6

26x = 90

x = 90/26

x = 45/13

x = 3 6/13

3 0
3 years ago
Translate the following verbal expression into a algebraic expression Ten more than the absolute value of a number
Butoxors [25]

Answer:

x + 10

Step-by-step explanation:

X is used to represent a variable or any number. This letter can be changed if you'd like

6 0
3 years ago
What is the common ratio for the geometric sequence? 32, 8, 2, 12, ... Enter your answer in the box.
mamaluj [8]

Answer:

Given sequence is not a geometric progression and there will be no common ration for this sequence.

Step-by-step explanation:

Need to determine common ration for the following geometric sequence

32, 8, 2, 12, ...

In given geometric sequence  

a1 = 32, a2=8, a3=2, a4=12 ……….

Common ratio = \frac{a_2}{a_1} =\frac{a_3}{a_2} =\frac{a_4}{a_3}

\frac{a_2}{a_1}=\frac{8}{32}=\frac{1}{4}

\frac{a_3}{a_2} =\frac{2}{8}=\frac{1}{4}

\frac{a_4}{a_3}=\frac{12}{2}=6

Since \frac{a_2}{a_1}=\frac{a_3}{a_2}\neq\frac{a_4}{a_3}  so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.

3 0
3 years ago
A chef uses 8 1/2 cups flour for his gig nine 3/4 cup flour for his pies and 25 2/3 cups flour for his bread will he have any fl
katen-ka-za [31]

Answer:

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Step-by-step explanation:

To do this without a calculator you need to get common denominator

a good choice would be 12 for the common denominator

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convert to 2/3 to x/12, multiply top and bottom by 4

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add this to the 300 to get 308/12

same with the other terms

9 x 12 = 108

convert 3/4 to x/12, multiply top and bottom by 3

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add this to the 108 to get 117/12

and do the same for the 8 1/2

8x 12 = 96

convert 1/2 to x/12, multiply top and bottom by 6

1/2 = 6/12, add this to the 96

do the subtraction and simplify

8 0
3 years ago
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