Yen has 25 dimes. she gives the same number of dimes to each of het 5 children. how many dimes will each child receive?

One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number

borishaifa [10]

Equation to find number's value: $\frac{1}{5}n + 3n = 2n + 42$

Number's value: n = 35

Explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as $\frac{1}{5}n$ .

Three times the number is the same as 3n.

Twice the number plus 42 is the same as 2n + 42.

So, using the information we've gathered so far, we can create the equation that will provide us with n's value.

Equation: $\frac{1}{5}n + 3n = 2n + 42$

We can use this equation to find n's value.

You can subtract 2n from both sides to get the equation $\frac{1}{5}n + n = 42$ , which is the same thing as the equation we were using.

Now add n and $\frac{1}{5}n$ together to get $1\frac{1}{5}n$ .

After you do this, your equation should look like $1\frac{1}{5}n=42$ .

Now divide both sides by $1\frac{1}{5}$ to get n's value.

n = 35

7 0

3 years ago

If n // m, which of the following statements are true? Select all that apply.

lorasvet [3.4K]

Answer:

A is answer

Step-by-step explanation:

please follow me

4 0

3 years ago

Read 2 more answers

Order the following rational numbers from least to greatest. <br> 61%, 0.68, 2/3, 0.57, 3/5

Mashutka [201]

Answer:

Step-by-step explanation:

61% = 0.61

0.68

2/3 = 0.666

0.57

3/5 = 0.600

least to greatest : 0.57, 3/5, 61%, 2/3, 0.68

5 0

3 years ago

Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)

yarga [219]

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

$y=mx+b$

We have to find the slope first

$m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}$

Putting the value of slope

$y = \frac{1}{2}x+b$

To find the value of b, putting (12,1) in the equation

$1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5$

Putting the values of m and b

$y =\frac{1}{2}x-5$

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

8 0

3 years ago

Assume that foot lengths of women are normally distributed with a mean of 9.6 in and a standard deviation of 0.5 in.a. Find the

Makovka662 [10]

Answer:

a) 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b) 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c) 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 9.6, \sigma = 0.5$ .