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inna [77]
3 years ago
12

Simplify the expression 6:3x4

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

8

Step-by-step explanation:

6:3=2

six divided by three equals four (hence the ratio)

2*4=8

two times four equals eight.

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Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
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Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

x+450

To calculate the total interest we need to calculate the interest of each individual account and sum them:

\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}

The total interest is the sum of the two expressions above:

\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

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1 year ago
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Priya has picked 1 1/2 cups of raspberries which is enough for 3/4 of the cake how many cups does she need for the whole cake
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Answer:

So Priya need  2 cups of raspberries for the whole cake.

Step-by-step explanation:

Given data;

1\frac{1}{2}=\frac{3}{2} cups of raspberries which is enough for \frac{3}{4} of the cake.

For making \frac{3}{4} of the cake need \frac{3}{2} cups of raspberries.

For making 1 cake need \frac{\frac{3}{2}}{\frac{3}{4}} cups of raspberries.

For making 1 cake need \frac{3}{2} \times \frac{4}{3}=2 cups of raspberries.

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2 years ago
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