Ask question

Ask question

All categories

3 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]3 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.

You might be interested in

Integrate with respect to x<br><br> -2/3√((2-5x)^3)

salantis [7]

Hello,

$\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C$

5 0

3 years ago

A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the d

maria [59]

Answer:

(0.6613, 8.3387)

Step-by-step explanation:

Let the heights of men be the first population and the heights of women be the second population. Then

We have $n_{1} = 15$ , $\bar{x}_{1} = 69.4$ , $s_{1} = 3.09$ and

$n_{2} = 7$ , $\bar{x}_{2} = 64.9$ , $s_{2} = 2.58$ . The pooled

estimate is given by

$s_{p}^{2} = \frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} = \frac{(15-1)(3.09)^{2}+(7-1)(2.58)^{2}}{15+7-2} = 8.68$

The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)

$(\bar{x}_{1}-\bar{x}_{2})\pm t_{0.01/2}s_{p}\sqrt{\frac{1}{15}+\frac{1}{7}}$ , i.e.,

$(69.4-64.9)\pm t_{0.005}2.946\sqrt{\frac{1}{15}+\frac{1}{7}}$

where $t_{0.005}$ is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So

$4.5\pm(-2.845)(2.946)(0.458)$ , i.e.,

(0.6613, 8.3387)

5 0

3 years ago

If a quadrilateral has congruent diagonals, then it is a rectangle What is the inverse of this conditional statement?

Ann [662]

Answer:I need a picture please

Step-by-step explanation:

5 0

3 years ago

Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.

Kamila [148]

Answer:

C.There are 6.8 kiloliters in 68 hectoliters.

Step-by-step explanation:

1 hectolitre = 100 litres

1 decilitre = 0.1 litre

1 kilolitre = 1000 litree

6.8 kilolitres = 6800 litres

Or 68 hectolitres

7 0

3 years ago

Read 2 more answers

What is the justification for step 2? 4(x-5)= -12 Justification Step 1: 4x-20=-12 Distributive Property Step 2 4x= 8 ? Step 3 x=

matrenka [14]

Answer:

addition property of equality

Step-by-step explanation:

Given the equation 4(x-5) = -12

Expand

4x - 20 = -12

Add 20 to both sides (addition property of equality)

4x-20+20 = -12+20

4x = 8

x = 8/4

x = 2

Hence the value of x is 2

The justification for step 2 is addition property of equality

7 0

3 years ago