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Fantom [35]
3 years ago
13

Look at the picture

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction \frac{1}{5} has been multiplied by its reciprocal \frac{5}{1}, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply \frac{6}{3} · \frac{5}{1} :

6 · 5 = 30

3 · 1 = 3

<u><em>So now you should have the fraction:</em></u>

x = \frac{30}{3}

<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>

x = 10

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antiseptic1488 [7]

Answer:

C

Step-by-step explanation:


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3 years ago
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What is the future value of an account if $3,000 is invested at a rate of 8% compounded monthly
Hatshy [7]

Answer:

≈$12601.72

Step-by-step explanation:

Use the compounded interest formula:

A = P(1+\frac{r}{n})^{nt}

In our case,

P = 3000

r = 8% = 0.08

n = 12 (months per year)

t = 18 (years in total)

Therefore, A ≈ $12601.72 (2.d.p.)

4 0
3 years ago
Solve for (x) <br> I need help with 10(b) <br> Please
Shalnov [3]

Answer:

x = 4

Step-by-step explanation:

(b)

\frac{2x+1}{3} = 5 - \frac{1}{2} x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

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3 0
3 years ago
Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?
skelet666 [1.2K]

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let <em>x</em> represent 20¢ coins and <em>y</em> represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

x=y+4

And the total value of all her coins is $3.80. Thus:

0.2x+0.05y=3.8

This yields a system of equations:

\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}

We can solve by substitution. Substitute the first equation into the first:

\displaystyle 0.2(y+4)+0.05y=3.8

Distribute:

\displaystyle 0.2y+0.8+0.05y=3.8

Combine like terms:

\displaystyle 0.25y = 3

And divide both sides by 0.25. Hence:

y=12

Thus, Amy has 12 5¢ coins.

Using the first equation:

x=y+4

Substitute:

x=(12)+4=16

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

6 0
3 years ago
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Archy [21]

Answer:

100.40

Step-by-step explanation:

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