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Charra [1.4K]
3 years ago
9

A worker at a frozen yogurt store has 2 3/4 cups of frozen yogurt to give to customers as samples. The workers places 1/16 cup o

f frozen yogurt in each sample. How many samples can the worker give using all the frozen yogurt?
Mathematics
1 answer:
Paladinen [302]3 years ago
3 0
Change 2 3/4 to a mix number—> 11/4
Than you want to get the same denominator
So it becomes...
44/16
So 44 people can get a sample
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I need help please.
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Answer:

<u>Third Option</u>: y = \frac{5}{4}x

Step-by-step explanation:

Given the points on the graph, (4, 5) and (-4, -5):

In order to determine the equation of the given graph in slope-intercept form, y = mx + b:

Use the given points to solve for the slope:

Let (x₁, y₁) = (-4, -5)

(x₂, y₂) = (4, 5)

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{5 - (5)}{4 - (-4)}  = \frac{5 + 5}{4 + 4}  = \frac{10}{8} = \frac{5}{4}

Therefore, the slope of the line is: m = \frac{5}{4}.

Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:

y = mx + b

5 = \frac{5}{4} (4) + b

5 = 5 + b

5 - 5 = 5 - 5 + b

0 = b

Therefore, the linear equation in slope-intercept form is: y = \frac{5}{4}x.  The correct answer is Option 3.

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