Explain how you distribute a factor to terms in parenthesis

Answers

Answer 1
Answer: Let's say the question is 2(x+3),

You multiply the number outside the brackets by EVERYTHING inside the brackets so,

2(x+3)
=2x+6      *Notice how 2(x)=2x and 2(3)=6.*

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Smith elementary school scored 30 less points in their track meet than Jones elementary school. If Jones elementary school scored x points, write an expression to represent how many points Smith elementary school scored.A) 30x B) x+30 C) x-30 D) 30-x

Marco paid $22.62 for 7.8 gallons of gas. What is the price of 1 gallon of gas

Answers

Answer:

$2.90

Step-by-step explanation:

22.62/7.8=2.90

The price of one gallon is $2.90

Leo reads 10 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page?

Answers

10pages/.5hour
To figure out how many pages he can read in one hour, multiply the numerator and denominator by 2. 
Leo can read twenty pages in one hour.
Hours per page is done like this
.5hour/10pages
To find out how many hours it takes to read one page, divide the top and bottom by ten.
It takes him .05 of an hour (3 minutes) to read one page.

Final answer:

The unit rate for Leo's reading is 20 pages per hour and 0.05 hours per page.

Explanation:

To find the unit rate for pages per hour, we need to adjust Leo's reading speed to reflect a full hour rather than half an hour. Since he reads 10 pages in half an hour, then in a full hour, which is twice as long, he would read twice as many pages. So, Leo's rate in terms of pages per hour is 20 pages per hour.

To find the unit rate for hours per page, we flip the ratio. So instead of looking at it as 'pages over hours,' we're looking at it 'hours over pages'. Leo reads 10 pages in half an hour, that is 1 page in 1/20 of an hour (or 0.05 hours). Therefore, his rate in terms of hours per page is 0.05 hours per page.

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Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73

Answers

Answer:C

Step-by-step explanation:

Answer C.56!

%5 of 110 is 5.5, 5.5 • 8= 54, 110-54= 56!

5/8 of 24 oranges were eaten. How many oranges were eaten?

Answers

15 because you have to dive 24 by 8, you get 3. Then you multiply 3 and 5 and you get 15

Final answer:

5/8 of 24 oranges is equal to 15 oranges.

Explanation:

To find the number of oranges that were eaten, we need to multiply the fraction 5/8 by the total number of oranges, which is 24.

  1. First, we multiply the numerator (top number) of the fraction by the total number of oranges: 5/8 × 24 = 5 × 24 / 8 = 120 / 8.
  2. Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 120 and 8 is 8, so we divide both numbers by 8: 120 / 8 = 15 and 8 / 8 = 1.
  3. Therefore, 5/8 of 24 oranges is equal to 15 oranges.

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Karen measured an Orange and a tangerine. The orange Weighed 3/4 pounds. The tangerine weighed 4/6 pounds.which was heavier? Write an inequality to show how their weights compare

Answers

Solutions 

Karen measured an Orange and a tangerine. The orange Weighed 3/4 pounds. The tangerine weighed 4/6 pounds. To solve the problem we first have to make the denominators common. To make the denominators common you have to multiply by the GCF ( greatest common factor). 

4/6 and 3/4's common denominator is 24 

(4)/(6) = (16)/(24) 


(3)/(4) = (18)/(24)

18/24>16/24, the orange is heavier
18/24>16/24, the orange is heavier

PLEASE HELP ASAP!!!Which sets of side lengths represent Pythagorean triples? Check all that apply.

Answers

Answer with Step-by-step explanation:

For the Pythagorean triples, the square of largest number must be equal to the sum of squares of remaining two numbers.

1,2,5

5²=25

1²+2²=5

25≠5

Hence, it is not a Pythagorean triple.

6,8,14

14²=196

6²+8²=100

100≠196

Hence, it is not a Pythagorean triple.

8,15,17

17²=289

8²+15²=289

Hence, it is a Pythagorean triple

10,24,26

26²=676

10²+24²=676

Hence, it is Pythagorean triple

15,20,30

30²=900

15²+20²=625

900≠625

Hence, it is not a Pythagorean triple

28,45,53

53²=2809

28²+45²=2809

Hence, it is a Pythagorean triple

8,15,17 is one, 10,24,26 is one, and 28,45,53 is one