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belka [17]
3 years ago
7

What is 2/3 of 1/4 of x = 1360​

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{x = 8160}}}}}

Step-by-step explanation:

\sf{ \frac{2}{3}  \times  \frac{1}{4}  \times x = 1360}

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

\longrightarrow{ \sf{ \frac{2 \times 1}{3 \times 4}  \times x = 1360}}

\longrightarrow{ \sf{ \frac{2}{12}  \times x = 1360}}

\longrightarrow{ \sf{ \frac{1}{6} x = 1360}}

Solve for x

\longrightarrow{ \sf{x = 1360 \times 6}}

\longrightarrow{ \sf{x = 8160}}

Hope I helped!

Best regards! :D

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A Fraction Number: The sum of the numerator and denominator is 40. if its value is 3/5 after simplifying, what is the fraction b
katrin2010 [14]
Here: Fraction = 3/5
Let, original fraction (before simplifying) = 3x/5x
Then, 3x + 5x = 40
8x = 40
x = 40/8
x = 5

So, 3x = 3(5) = 15 & 5(5) = 25

In short, Your Answer would be 15/25

Hope this helps!
5 0
3 years ago
1.The earnings of a worker is shown by the graph below. Using this graph, answer the questions that follow.
worty [1.4K]

Answer:

a. y = 2x

b. The slope represents the common difference

c. a_n = 2n

d. a_{10} = 20

Step-by-step explanation:

Given:

The graph

<u>Solving (a): The equation</u>

First, we pick any two corresponding points on the graph

(x_1,y_1) = (1,2)

(x_2,y_2) = (2,4)

Next, we calculate the slope using:

m = \frac{y_1 - y_2}{x_1 - x_2}

m = \frac{2-4}{1-2}

m = \frac{-2}{-1}

m=2

The equation is then calculated as:

y - y_1 = m(x - x_1)

y - 2 = 2(x - 1)

y - 2 = 2x - 2

Make y the subject

y = 2x - 2+2

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<u>(b) Interpret the slope</u>

In (a) above, the slope is calculated as: m=2

This represents the common difference of the sequence;

<u>(c) Represent as an arithmetic sequence</u>

We have the following points from the graph:

(x_1,y_1) = (1,2)

(x_2,y_2) = (2,4)

(x_3,y_3) = (3,6)

This means that: The first term is 2; the second is 4, the third is 6.....

So, we have:

a_1 = 2 --- First Term

d = a_2 - a_1 = 4 - 2 = 2 --- Difference

The nth term of an AP is:

a_n = a_1 + (n - 1)d

This gives:

a_n = 2 + (n - 1)*2

a_n = 2 + 2n - 2

Collect Like Terms

a_n = - 2+2 + 2n

a_n = 2n

<u>(d) Find a10</u>

To do this, we simply substitute 10 for n in a_n = 2n

So, we have:

a_{10} = 2 * 10

a_{10} = 20

8 0
3 years ago
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zmey [24]

Answer:

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Answer:

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sum means add

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