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jasenka [17]
3 years ago
15

Write your answer as a decimal or whole number. ___% of $75=$42

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

x=56

Step-by-step explanation:

\frac{x}{100} · \frac{42}{75}

then cross multiply

4200=75x

x=56

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A pre-image is dilated by a scale factor of 4. Which statement about the pre-image and its image is true?
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Answer:(c)

Step-by-step explanation:

8 0
2 years ago
A total of $7000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $
Ivahew [28]

We invested $7000 invested in two accounts, we don't know how much exactly is in each account, therefore we will assign variables to these amounts. The amount invested in the "8%" account is "x", while the other one is "y". The sum of these two numbers must be equal to $7000, therefore:

x+y=7000

The sum of interest of each account should be equal to 580, therefore:

0.08\cdot x+0.12\cdot y=580

We need to solve the system in order to determine the values.

\begin{gathered} \begin{cases}x+y=7000 \\ 0.08x+0.12y=580\end{cases} \\ \begin{cases}-0.12x-0.12y=-840 \\ 0.08x+0.12y=580\end{cases} \\ -0.04x=-260 \\ x=\frac{-260}{-0.04}=6500 \\  \end{gathered}

Now we can replace the value of "x" in the first equation to determine the value of "y".

\begin{gathered} 6500+y=7000 \\ y=7000-6500 \\ y=500 \end{gathered}

The values are 6500 in the 8% account and 500 in the 12% account.

4 0
10 months ago
Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
stellarik [79]
18.60$
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4 0
2 years ago
An airplane on autopilot took 7 hours to travel 4,914 kilometers. What is the unit rate for kilometers per​ hour?
snow_lady [41]

Distance traveled by an airplane in 7 hours = 4,914 kilometers

We have to determine the unit rate for kilometers per​ hour.

So, distance traveled by an airplane in 1 hour = 4,914 \div 7

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So, an airplane will travel 702 kilometers in an hour.

Therefore, the unit rate for kilometers per​ hour is 702 km per hour.

4 0
3 years ago
Let 40 x 55 = n. Which of the choices shown is also equal to n?
labwork [276]
D) (10 x 55) + (10 x 55) + (10 x 55) + (10 x 55)

use distributive rule to factor out 55:
55 (10+10+10+10) = 55×40
5 0
3 years ago
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