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Eduardwww [97]
4 years ago
13

The graph of a proportional relationship contains the point (8, 4).

Mathematics
1 answer:
Softa [21]4 years ago
6 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
(\stackrel{x}{8}~~,~~\stackrel{y}{4})\implies 
\begin{cases}
x=8\\
y=4
\end{cases}\implies 4=k8\implies \cfrac{4}{8}=k\implies \cfrac{1}{2}=k
\\\\\\
\boxed{y=\cfrac{1}{2}x}
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Part A

1 day = 1/4 hours of practice

7 days = 7/4 hours of practice (multiply both sides by 7)

1 week = 7/4 hours of practice

1 week = (4+3)/4 hours of practice

1 week = (4+3)/4 hours of practice

1 week = (4/4)+(3/4) hours of practice

1 week = 1+(3/4) hours of practice

1 week = 1 & 3/4 hours of practice

side note: 1 & 3/4 = 1.75

=======================================

Part B

Take the result from part A, and multiply it with 60

So we'll have 60 times 1&3/4 on the left side on the first line, then 60*(1+3/4) on the right side of this same line.

The rest of the lines look like this

(60*1) + (60*3/4)

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60 + 45

105 minutes

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3 years ago
Simplify the expression and identify which property is used in each step.
777dan777 [17]

Answer:

1.2

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(0.85 + 0.50 + 0.15) - 0.30           Given

Simplify by adding in the parentheses first

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(1.35 + 0.15) - 0.30

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Subtraction Property

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7 0
3 years ago
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Answer:

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ratelena [41]
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hope this helps good luck have a good nite hope u enjoy ur the rest of ur weekend
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