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vova2212 [387]
3 years ago
15

Use the distributive property to find the product of 1/3 x 2 3/4

Mathematics
2 answers:
Tasya [4]3 years ago
6 0
(1/3 x 2) + (1/3 x 3/4) = 2/3 + 1/4 (Then find a common denominator: 12) 8/12 + 3/12 = 11/12
Lerok [7]3 years ago
6 0
Convert to 12 then multiply and get 3
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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
Anon25 [30]

An equation is formed of two equal expressions. The correct options are C, D, and E.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of x in the given equation is,

\dfrac35 (30x-15) = 72\\\\(6x - 3) = 72\\\\6x -3 = \dfrac{72}3\\\\6x = 24 + 3\\\\x = 4.5

Substitute the value of x in other option to check if the equations are equal are not. Therefore, the options can be written  as,

A.) 18x - 15 = 72

18(4.5) - 15 = 66

Thus, this will not return the same value.

B.) 50x - 25 = 72

50(4.5) - 25 = 200

Thus, this will not return the same value.

C.) 18x - 9 = 72

18(4.5) - 9 = 72

Thus, this will return the same value.

D.) 3(6x - 3) = 72

3[6(4.5) - 3] = 72

Thus, this will return the same value.

E.) x = 4.5

Thus, this will return the same value.

Hence, the correct options are C, D, and E.

Learn more about Equation:

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7 0
2 years ago
According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. h
Alisiya [41]

The number of cruise passengers must there have been in 2017 is  26.7 million.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}

Multiplying both sides by 100;

\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}

Dividing both sides by 106.7;

\frac{106.7 x}{106.7}=\frac{2850}{106.7}

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

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6 0
2 years ago
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