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aleksandr82 [10.1K]
3 years ago
14

Solve for "x". 5(x+2)= 3(x+8). Show your work

Mathematics
1 answer:
djyliett [7]3 years ago
3 0
Distribute.
5x+10 = 3x+24
Subtract 3x from both sides
2x+10=24
Subtract 10 from both sides
2x=14
Divide by 2
x=7
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A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then rowed down
Jobisdone [24]

let's recall that d = rt, distance = rate * time.

he went upstream to a distance "d", got tired and came back to his starting point, so he rowed back a distance "d" exactly.

we know the rates, we also know the trip took 2 hours, let's say on the way over he took "t" hours to get there, on the way back he lasted then "2 - t" hours.

\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&d&2&t\\ Downstream&d&8&2-t \end{array}\qquad \qquad \begin{cases} d=2t\\\\ d=8(2-t) \end{cases}

\stackrel{\textit{substituting on the 2nd equation}}{2t=8(2-t)\implies 2t=16-8t}\implies 10t=16\implies t=\cfrac{16}{10}\implies t=\cfrac{8}{5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{d=2t}\implies d=2\left( \cfrac{8}{5} \right)\implies \stackrel{\textit{3 miles and 1056 feet}}{d=\cfrac{16}{5}\implies d=3\frac{1}{5}}

5 0
2 years ago
Simplify the equation
Jobisdone [24]

Answer:

3a

Step-by-step explanation:

9/3 = 3

a^{3}/a^{2} = a^{3 -2} = a

b / b = 1

3 x a x 1 = 3a

8 0
3 years ago
Read 2 more answers
.45 ÷ 10 = ? <br><br> A. .45<br> B. .045<br> C. 45<br> D. 4.5
aliya0001 [1]
0,45 / 10 = 0,045 so choice B. is right sure 

hope helped 
7 0
3 years ago
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sweet-ann [11.9K]

Answer:

Construct the perpendicular bisectors of each side

Choice A is correct

Step-by-step explanation:

Circumscribe means to draw on the outside of a geometric figure just touching the corner points but never crossing.

The steps in constructing a circle circumscribed about a triangle;

Construct the perpendicular bisector of one side

Construct the perpendicular bisector of another side

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3 years ago
Which situation shows a constant rate of change?
lara31 [8.8K]

The <em><u>correct answer</u></em> is:

D) The amount a person pays for gas compared with the number of gallons purchased

Explanation:

A constant rate of change means that for every x, y increases the same amount.

In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid.  Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount.  This means it has a constant rate of change.

5 0
3 years ago
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