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Ket [755]
3 years ago
11

E

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

1) n = 84

2) n = 78

3) n = 24

4) n = 16

5) n = 35

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

\frac{5}{12} = \frac{35}{n}

5n = 35*12

Simplifying both sides by 5

n = 7*12 = 84

Question 2:

\frac{n}{52} = \frac{180}{120}

120n = 52*180

Simplifying both sides by 20

6n = 52*9

Simplifying by 3

2n = 52*3

Simplifying by 2

n = 26*3 = 78

Question 3:

\frac{18}{n} = \frac{21}{28}

21n = 18*28

Simplifying both sides by 7

3n = 18*4

Simplifying both sides by 3

n = 6*4 = 24

Question 4:

\frac{n}{4} = \frac{24}{6}

\frac{n}{4} = 4

n = 16

Question 5:

\frac{10}{16} = \frac{n}{56}

16n = 56*10

Simplifying by 2, both sides

8n = 56*5

Simplifying by 8, both sides

n = 7*5 = 35

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Leilani practiced piano for 3/5 of an hour. Sarah practiced piano for 7/8 of an hour.
ivolga24 [154]

Answer:

The number of hours did Sarah practice more than Leilani is \dfrac{11}{40}  hours  .

Step-by-step explanation:

Given as :

The time for which Leilani practiced piano = \dfrac{3}{5} hours

The time for which Sarah practiced piano = \dfrac{7}{8} hours

Let the number of hours did Sarah practice more than Leilani = T hours

<u>Now, According to question</u>

The number of hours did Sarah practice more than Leilani = \dfrac{7}{8} hours -  \dfrac{3}{5} hours

Or, T =  \dfrac{35-24}{40} hours

Or, T =  \dfrac{11}{40} hours

So,The number of hours did Sarah practice more than Leilani = T =  \dfrac{11}{40}  hours

Hence, The number of hours did Sarah practice more than Leilani is \dfrac{11}{40}  hours  . Answer

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When solving 8 (x + 35) = -7, what is the correct sequence of operations? (5 points)
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