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tia_tia [17]
3 years ago
14

The rectangles below are similar in shape. How wide is the smaller rectangle?

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

\huge\boxed{x=28\ ft}

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

\dfrac{x}{42}=\dfrac{36}{54}

cross multiply

54x=(42)(36)\\\\54x=1512

divide both sides by 54

\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28

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AleksAgata [21]

Answer:

\boxed{ \tt{x = 4}}

Step-by-step explanation:

\frac{3}{x}  =  \frac{6}{8}  \\ 6x = 24 \\ x = 4

4 0
3 years ago
What is the total price of a $45 pair of jeans after a 6.5% sales tax is added?<br> show ur work
tangare [24]
The answer is 45.65
45 + 6.5 = 45.065

45 divided by 6.5 over a hundred = 45 + 0.065


Thats how you get 45.65
6 0
3 years ago
Read 2 more answers
You deposit $1200 in an account. The account earns $120 simple
iVinArrow [24]

We have to find the unit rate, so we have to divide what you earned in interest by the amount of months.

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So you earn $15 per month

---

sorry if this doesn't help

7 0
3 years ago
Steve got his car fixed for $557. After taxes it cost him $594. What was the tax rate to the nearest %?
I am Lyosha [343]
You're nearly there. Just some more steps.
557 * x = 594 tells us 
x = 594 / 557 (divide both sides by 557)
x ≈ 1.066427

When we've found this number we must realise the following:
the '1' in this answer is the 100% the car fixing costs (without taxes)
the '0.66427' stands for the tax rate.

To find the tax rate we multiply 0.66427 by 100, which gives us:
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So, rounded to the nearest %, the tax rate is 7%
6 0
3 years ago
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sasho [114]
X=3 and y=-5/2. Here is why, when we do 7x+5x that gives us 12x. -2y+2y=0 and then we have 16 plus 20 which gives us 36. Now we gotta isolate x which right now we have 12x=36. Therefore divide by 12 to get x alone, which 36 divided by 12 is equal to 3. X=3. Plug it back into the equation, 7(3)=21 plus 2y=16. Subtract 21 from both sides 16-21 is equal to -5. Then 2y=-5 divide by 2 on both sides you will have -5/2=y or y=-5/2. Hope this helps!
8 0
2 years ago
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