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olganol [36]
3 years ago
6

The cost of a pack of chewing gum in a vending machine is $0.75.The cost of a bottle of juice in the same machine is $1.25.Julia

has $22.00 to spend on chewing gum and bottles of juice for her team and she must buy seven packs of chewing gum.If b represents the number of bottles,which inequality represents the maximum number of bottles she can buy?
A. 0.75b+1.25(7)≥22
B. 0.75b+1.25(7)≤22
C. 0.75(7)+1.25b≥22
D. 0.75(7)+1.25b≤22
Mathematics
2 answers:
GREYUIT [131]3 years ago
6 0
The correct answer is D, <span>0.75(7)+1.25b≤22</span>
Lostsunrise [7]3 years ago
3 0
A=# of packs of chewing gum (7)    b=# of bottles of water 

0.75a + 1.25b _<_ 22      (substitute for a and b) 
0.75(7) +1.25b _<_ 22 


the sign is < because the total amount of the money she spends has to be less or equal to $22

The answer is D. 
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Explanation:

Let's see few definitions:
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PE = Percent Extraction = percent of solids extracted from the dry coffee grounds

The percent extraction can be calculated by the formula:
PE = TDS × Rm

where
Rm = ratio between the mass of the brew and the mass of dry grounds

Now, you need to consider the following facts:
1) every 1g of coffee absorbs 2g of water
2) the given brew ratio is 1:15, which means that for every 1g of grounds we use 15g of water

Let's call
x = grams of coffee grounds we want to use
Therefore the mass of the brew will be: 
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Therefore,
Rm = m(brew) / x
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Hence, the percent of extraction will be:
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The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

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Write, the intervals in between critical points. Therefore, -2<x<5.

Read more about inequalities here.

brainly.com/question/25275758

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