Answer:12 Protein bar and 3 magazines
Step-by-step explanation:
Given
Tom purchases Protein bars 3 times as much as magazine
Each bar cost 
Each magazine costs 
Sales tax is 6.5 %
suppose Tom buy x magazines so
Price of magazine is 
Price of bars is 
Total Price
After sales tax 
This must be less than 
so 
thus 
so he but 4 magazines and 12 protein bars
13 should be b and
14 is a because geometric mean to have a common ratio
Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
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The function is illustrated below based on the information.
<h3>How to describe the function?</h3>
When x <= 8000
The cost remains constant at 0.35 when x increases from 0 to 8000. The slope of the cost function over this part is 0
When 8000 < x <= 20000
The cost remains constant at 0.75 when x increases from 8000 to 20000 and the slope of the cost function over this part is 0.
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based on the number of marbles in the bag, the number of marble groups possible is 7,140 groups.
the probability of selecting 2 red and 1 yellow is 1/68.
<h3>what number of 3-marble groups can be made?</h3>
first, find the number of marbles:
= 7 + 8 + 9 + 7 + 5
= 36
the number of marble groups are:
= 36 ! / (3 ! x 33 !)
= 7,140 groups
the probability of picking 2 red and 1 yellow is:
= (( (7! / (2! x 5!)) x ( ( 5! / (1! x 4!))) / 7,140
= 1 / 68
= 1.47%
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