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Romashka-Z-Leto [24]
2 years ago
15

Which equation represents this number sentence? Two more than one-third of a number is 8

Mathematics
1 answer:
Alja [10]2 years ago
3 0

Answer:

Step-by-step explanation:

One - third = 1/3

then:

one third of a number = a*1/3 = a/3

Then the equation that represents this sentence is:

2 + a/3 = 8

process:

a/3 = 8 - 2

a/3 = 6

a = 6*3

a = 18

Check:

2 + 18/3 = 8

2 + 6 = 8

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3 years ago
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2 years ago
Solve the equation showing each inverse operation step:
valina [46]

Answer:

4 2/7 - 6/7 = 24/

7

= 3 3/

7

Step-by-step explanation:

Conversion a mixed number 4 2/

7

to a improper fraction: 4 2/7 = 4 2/

7

= 4 · 7 + 2/

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= 28 + 2/

7

= 30/

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To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

7

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7

b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

Four and two sevenths is thirty sevenths

Subtract: 30/

7

- 6/

7

= 30 - 6/

7

= 24/

7

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty sevenths minus six sevenths = twenty-four sevenths.

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2 years ago
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3 years ago
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Natalka [10]

Answer:

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Step-by-step explanation:

1/16 = (1/2)^4, so 4 half-lives have elapsed.

  4 · 0.700 billion years = 2.8 billion years

The rock is 2.8 billion years old.

5 0
3 years ago
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