Please help me with B and C question.

The question is in the picture

Veronika [31]

13 3/4 + x = 7 1/4

becomes x = 13 3/4 / 7 1/4

13 3/4 = 55/4

7 1/4 = 29/4

55/4 / 29/4 = 55/4 * 4/29 = 220/116

220/116 reduces to 1 26/29

7 0

4 years ago

After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight (in poun

tatiyna

Answer:

Step-by-step explanation:

From the problem we know that 12% of Lisa's original weight is 21 pounds. Let's call Lisa's original weight x and rewrite what we know from the question in terms of x.

We can convert 12% into a decimal - 0.12. We can also recognize that the word "of" used in a word problem often means you need to multiply. So, we can multiply 0.12 by x because we know 12% of Lisa's original weight.

0.12x = 21

To solve this equation, we need to isolate x, so we can divide both sides by 0.12.

x = 175. ==> Lisa's original weight was 175 pounds.

If you don't have a calculator or would like to learn another way to solve this problem, you can use proportions.

We know that 12% of x is 12, so what is 100% of x? (this is another way to rewrite the question)

We can contine to rewrite this by writing

$\frac{12}{21} = \frac{100}{x}$

We can write this because we know that the ration of 12% to 21 pounds is going to be the same ratio of 100% to Lisa's entire body weight.

We can multiple by both sides of the equation by $\frac{21x}{21x}$ , which is equal to 1 so it won't change the value of the equation, to remove the denominators. Then, we'll end up with:

12x = 100*21

12x = 2100

x = 175

3 0

4 years ago

Read 2 more answers

In , the Pew Internet & American Life Project asked teens aged to several questions about their attitudes toward social medi

notsponge [240]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

$\^ p_1 = 0.8102$

b

$\^ p_2 = 0.6904$

c

$\^ p_3 = 0.3701$

Step-by-step explanation:

From the question we are told that

The sample size is n = 743

The number that said social media makes them feel more connected to what is going on in their friends' lives is k = 602

The number that said social media helps them interact with a more diverse group of people is y = 513

The number that said feel pressure to post content that will get a lot of likes and comments is c = 275

Generally a point estimate of the proportion of teens aged 13 to 17 who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as

$\^ p_1 = \frac{k}{n}$

=> $\^ p_1 = \frac{602}{743 }$ \

=> $\^ p_1 = 0.8102$

Generally a point estimate of the proportion of teens aged 13 to 17 who say social media helps them interact with a more diverse group of people is mathematically represented as

$\^ p_2 = \frac{k}{n}$

=> $\^ p_2 = \frac{513}{743 }$ \

=> $\^ p_2 = 0.6904$

Generally a point estimate of the proportion of teens aged 13 to 17 who feel pressure to post content that will get a lot of likes and comments is mathematically represented as

$\^ p_3 = \frac{k}{n}$