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erma4kov [3.2K]

3 years ago

14

Eric’s average income for the first 4 months of the year is $1,450.25, what must be his average income for the remaining 8 month

s so that his average income for the year is $1,780.75?
Answer: $

1 answer:

UNO [17]3 years ago

5 0

Answer:

$1946

Step-by-step explanation:

His average for the first four months

= $1,450.25

So he earned 4*$1,450.25

= $5801 for the first four months.

Then for the year his average is $1,780.75.

So he earned $1,780.75*12 for the year.

=$ 21369

So the amount he earned for the remaining 8 months was 21369-5801

= $15568

The average for the 8 Months= 15568/8

= $1946

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$0.\overline{5} + 0.19\overline{4}$.

Scilla [17]

Answer:

$0.\overline{5} + 0.19\overline{4}=0.75$

Step-by-step explanation:

Given expression:

$0.\overline{5} + 0.19\overline{4}$

To evaluate the expression.

Solution.

The values are

$0.\overline{5}=0.555555......$

Let $X=0.555555.....$ -----------1

Multiplying 10 both sides.

$10X=5.555555....$ ----------2

Subtracting 1 from 2.

$10X=5.555555....$

- $X=0.555555.....$

-------------------------------------------

$9X=5.0$

Dividing both sides by 9.

$\frac{9X}{9}=\frac{5}{9}$

$X=\frac{5}{9}$

$0.19\overline{4}=0.194444....$

Let $Y=0.1944444..$

Multiplying both sides by 100

$100Y=19.44444..$ ------------3

Multiplying 1000 both sides.

$1000Y=194.4444....$ ----------4

Subtracting 3 from 4.

$1000Y=194.4444....$

- $100Y=19.44444.....$

-------------------------------------------

$900Y=175.0$

Dividing both sides by 900.

$\frac{900Y}{900}=\frac{175}{900}$

$Y=\frac{175}{900}$

So, we can evaluate the given expression as:

⇒ $0.\overline{5} + 0.19\overline{4}$

⇒ $X+Y$

⇒ $\frac{5}{9}+\frac{175}{900}$

Taking LCD = 900

⇒ $\frac{5\times 100}{9\times 100}+\frac{175}{900}$

⇒ $\frac{500}{900}+\frac{175}{900}$

Adding numerators.

⇒ $\frac{500+175}{900}$

⇒ $\frac{675}{900}$

⇒ $0.75$ (Answer)

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