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IrinaVladis [17]
3 years ago
12

Translate from the English form to algebraic form.

Mathematics
1 answer:
Semmy [17]3 years ago
4 0
A. (2x+y)^2+8^2 that’s it
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Jeffrey biked to a bookstore at 12 mi./hr. but he took his time on his way home, going 8mi./hr. If it took him 20 min. to get to
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A boat traveled 126 miles downstream and back. The trip downstream took 6 hours. The trip back took 42 hours. What is the speed
brilliants [131]

Answer:

The answer is

Speed of the boat in still water= 12mph

Speed of current= 9mph

Step-by-step explanation:

<em>let x= speed of the boat in still water</em>

<em>let y= speed of current</em>

<em></em>

<em>DATA WE HAVE</em>

<em>with current   </em>

<em>rate- x+y        </em>

<em>time- 6 hours</em>

<em>distance- 126 miles</em>

rate= 126/6= 21

against current

rate- x-y

time- 42hr

distance- 126 miles

126/42= 3

Now, we add these two equations vertically.

<em>x-y=3</em>

<em>+</em>

<em>x+y=21             </em>

<em>2x = 24</em>

<em>Now we divide each side by 2</em>

<em>2x/2   24/2</em>

<em>x= 12</em>

<u><em>The speed of the boat in still water is 12mph</em></u>

<em></em>

<em>NOW WE HAVE HALF OF THE ANSWER</em>

if x+y= 21

then

12+y=21

subtract 12 from both sides

y=9

<em><u>The speed of the current is 9mph</u></em>

<em><u /></em>

<em><u>Checking)</u></em>

<em><u>12+9=?21</u></em>

<em><u>21=21</u></em>

<em><u>12-9=?3</u></em>

<em><u>3=3</u></em>

<em><u /></em>

I hope this helped! If you have any questions, dm me on insta celinesaydawi

<em></em>

<em></em>

<em></em>

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3 years ago
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3 years ago
Read 2 more answers
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