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Sara tried to evaluate 21 : 7 x 8 step-by-step

nlexa [21]

Answer: Sara multiplied by 3 when she should have multiplied by 8.

Step-by-step explanation:

21 : 7*8

7*8 = 56

21 : 56

The simplest form of this ratio is 3 : 8

6 0

3 years ago

Camille bought 3 pounds of nuts for 10.35. What is the unit price per pound?

dusya [7]

3.45. All you have to do is divide 10.35 by 3.

8 0

3 years ago

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Solve the equation, keeping the value for x as an improper fraction. 23x = − 12x + 5 1.Isolate the variable by adding 12x to bot

kogti [31]

Answer:

$x=\frac{30}{7}$

Step-by-step explanation:

We have been given an equation $\frac{2}{3}x=-\frac{1}{2}x+5$ . We are asked to solve our given equation.

First of all, we will add $\frac{1}{2}x$ on both sides of equation to separate x variable on one side of equation.

$\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5$

$\frac{2}{3}x+\frac{1}{2}x=5$

Now, we will make a common denominator.

$\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5$

$\frac{4}{6}x+\frac{3}{6}x=5$

Add numerators:

$\frac{4+3}{6}x=5$

$\frac{7}{6}x=5$

Upon multiply both sides of our equation by $\frac{6}{7}$ , we will get:

$\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}$

$x=\frac{5*6}{7}$

$x=\frac{30}{7}$

Therefore, the solution for our given equation is $x=\frac{30}{7}$ .

5 0

3 years ago

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Evaluate 7r-15/8 when r=3 and 8=5

Natali [406]

Answer:

18

Step-by-step explanation:

multiply 7 and 3

reduce 15/5 to 3

subtract 21-3

18

8 0

3 years ago

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Using a proportion, what can you infer about the number of households in her town that have more than three children?

eduard

Answer:

About 296 households have more than three children.

Step-by-step explanation:

The complete question is:

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below. Children in 50 Households Number of Children Number of Households 0 5 1 11 2 13 3 10 4 9 5 2 Using a proportion, what can you infer about the number of households in her town that have more than three children? About 242 households have more than three children. About 269 households have more than three children. About 296 households have more than three children. About 565 households have more than three children.

Solution:

The data provided for the number of children and number of households is:

Number of Children (X) Number of Households (f (X))

0 5

1 11

2 13

3 10

4 9

5 2

TOTAL 50

Compute the probability of households having more than three children as follows:

P (More than 3 children) = P (4 children) + P (5 children)

$=\frac{9}{50}+\frac{2}{50}$

$=\frac{11}{50}$

$=0.22$

Let the random variable Y be defined as the number of households having more than three children.

The probability of the random variable Y is, p = 0.22.

The entire population, i.e. total number of addresses in Carmen's town with numbers ranging from zero to five children, consists of N = 1,346 households.

Compute the expected number of households having more than three children as follows:

$E(Y) =N\times p$

$=1346\times 0.22\\=296.12\\\approx 296$

Thus, about 296 households have more than three children.

4 0

3 years ago