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2 years ago

Find the sum 4/20 + 7/8

Mathematics

2 answers:

Contact [7]2 years ago

6 0

Answer:

1 3/40

Step-by-step explanation:

4/20 + 7/8

We can simplify 4/20 by dividing the top and bottom by 4

1/5 + 7/8

We need to get a common denominator of 50

1/5 * 8/8 = 8/40

7/8 * 5/5 = 35/40

8/40 + 35/40

43/40

Changing this to a mixed number

1 3/40

VladimirAG [237]2 years ago

6 0

Answer:

1 3/40

Step-by-step explanation:

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2. Write 1.68 as a simplified fraction

Alex787 [66]

<em><u> $1 \frac{68}{100 }$ </u></em>

5 0

3 years ago

Find the approximate side length of a square game board with an area of 171 in?

Makovka662 [10]

<em>Greetings from Brasil...</em>

According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²

The area of a square is given by the expression:

A = S²

<em>where S is the side of the square - just what we want to know</em>

So:

A = S²

171 = S²

√171 = S

8 0

3 years ago

the population of a colony grows from 250 in the year 2000 to 400 in the year 2004. what is the average rate of change of popula

Ilia_Sergeevich [38]

Given:

Population of a colony in 2000 = 250

Population of a colony in 2004 = 400

To find:

The average rate of change.

Solution:

Let y be the population of the colony at x year.

The population of a colony grows from 250 in the year 2000 to 400 in the year 2004. So, the two points are (2000,250) and (2004,400).

Formula for slope or average rate of change is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{400-250}{2004-2000}$

$m=\dfrac{150}{4}$

$m=37.5$

Therefore, the average rate of change of population is 37.5.

3 0

2 years ago

May run 6 miles in 54 minutes how long will it take her to run 10 miles

djyliett [7]

Answer:

It would take her 90 minutes to run 10 miles.

Step-by-step explanation:

First you should divide 54 by 6 and you'll get 9. So it takes her 9 minutes to run 10 miles (which is physically impossible). You multiply 9 times 10 and get 90.

7 0

2 years ago

Simplify expressions

charle [14.2K]

<h3>a) $\frac{2}{5} \div ( - \frac{3}{4} )$ </h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2> $- \frac{2}{5} \div \frac{3}{4}$ </h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h3>Hence, Quotient = $- \frac{8}{15}$ </h3>

<h3>b) $0.4 \div ( - 0.75)$ </h3><h3>■Convert the decimals into a fractions</h3>

<h2> $\frac{2}{5} \div ( - \frac{3}{4} )$ </h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2> $- \frac{2}{5} \div \frac{3}{4}$ </h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h2> $- \frac{8}{15}$ </h2><h3>Hence, Quotient is $- \frac{8}{15}$ </h3>

<h3>c) $- \frac{2}{5} \div \frac{3}{4}$ </h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h2> $- \frac{8}{15}$ </h2><h3>Hence, The Quotient is $- \frac{8}{15}$ </h3>

4 0

2 years ago