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2 years ago

14

If a number is added to the numerator of 7/8 and the same number is subtracted from the denominator, the result is 4. Find the n

umber.

1 answer:

Alisiya [41]2 years ago

3 0

Answer:

The number is 5.

Step-by-step explanation:

Call the number n. Write the problem as an equation:

$\frac{7+n}{8-n}=4\\7+n=(8-n)4=32-4n\\5n = 25\\n=5$

The number is 5.

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He completed 2 and 4/5 rows of grapes each hour he worked after completing 140 rows of grapes how many hours had he worked?

algol [13]

Step-by-step explanation:

Divide 140 by $2\frac{4}{5}$ to represent the amount of hours he worked.

To make dividing easier, $2\frac{4}{5}$ can also represent 2.8 as a decimal.

$\frac{140}{2.8} =50$

He has worked 50 hours after completing 140 rows of grapes.

4 0

2 years ago

What is the sum of ? <br><br>I will put a pic if the answer is correct ill mark brainlist

olga2289 [7]

$\text{The sum of } 1\frac{7}{10} \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}$

<em><u>Solution:</u></em>

Given that we have to find the sum of $1\frac{7}{10} \text{ and } 3\frac{3}{5}$

<em><u>Let us first convert the mixed fractions to improper fractions</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

$1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}$

Now we can add both the fractions

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}$

Make the denominators same

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}$

Now convert the fraction to mixed number

When we divide 53 by 10 , the remainder is 3

Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator

$\frac{53}{10} = 5\frac{3}{10}$

Thus the sum of given mixed fraction is $5\frac{3}{10}$

6 0

2 years ago

If a cone has a radius of 2 cm and a height of 10 cm, what is the volume?

BARSIC [14]

Answer:

41.89

explanation:

the formula for finding the volume of a cone would be pi x r^2 x h/3;

3.14 x 4 x 3.33333333, which equals 41.89.

hope that helps :)

5 0

2 years ago

Read 2 more answers

^^^^^^^^^^^^^^^^^^^^

telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

$- \frac{10}{19} \div ( - \frac{5}{7} )$

We multiply by the reciprocal of the second fraction:

$- \frac{10}{19} \times ( - \frac{7}{5} )$

We cancel out the common factors to obtain:

$- \frac{2}{19} \times ( - \frac{7}{1} )$

We multiply to get

$\frac{ - 2 \times - 7}{19 \times 1}$

This simplifies to :

$\frac{14}{19}$

The correct answer is C

7 0

3 years ago

Read 2 more answers

A university has 750 female students and 2250 male students. Thirty per cent of female students study chemistry and 60% of male

UNO [17]

Answer:

1/7 or 14.3%

Step-by-step explanation:

30% of 750 = 225 (females who study chemistry)

60% of 2250 = 1350 (males who study chemistry)

1575 = total students studying chemistry

P (female chemistry student) = 225/1575 = 1/7 (simplified)

1/7 = 14.3%

7 0

2 years ago