One number is 12 more than another number. If one half of the smaller number equals one third of the larger number, what is the larger number?

Answers

Answer 1
Answer:

Answer:

x=24

y=36

Step-by-step explanation:

x=smaller number

y=larger number

x+12=y         x/2=y/3

                   x/2=(x+12)/3

cross multiply and distribute

                   3x=2x+24

                   x=24

24+12=y

y=36


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The number of dogs in a pet store decreased from 35 to 31. What is the percent of decrease in the number of dogs?
Round to the nearest percent.
A.
11%

B.
13%

C.
40%

D.
97%

Answers

The answer is A. 11% when it it rounded to the nearest percent
A.  because 11% is rounded.
Hope that helps :)

Is 5/10 in simplest form

Answers


no, it is not because it can be simplified to 1/2.

Find the Greatest Common Factor (GCF)
5 and 10

GCF = 5

Divide the numerator and denominator by 5.

5/10 ÷ 5 = 1/2
The final answer is 1/2 :)

Mrs. Solar modeled Contractor 2’s fees with the formula y = 150 + 55x. Mrs. Solar compared Contractor 2’s fee to Contractor 1’s fee.

(a) What does the difference between 50 and 55 mean in the real-world context?
(b) What does the difference between 200 and 150 mean in the real-world context?

Answers

I'm guessing that you forgot to put contractor 1's fees
judging from the question, I would assume that his fees are y=200+50x
I will assume that y=fee and x=number of hours (or units of time)

so
a. difference between 55 and 50, that is 5 so #2's fee is 5$ more for every hour he works
b. difference between200 and 150 means that contractor 1 gets 50 more initally than contractor 2

45 is 15% of what number

Answers

45 = 15% of number
45 = 15% × n
15% = (15)/(100) = 0.15

45 = 0.15n

(45)/(0.15)(0.15n)/(0.15)
0.15 and 0.15 cancels out

300 = n

15% of 300 is 45

45 is 155 of 300
15% of a number is 45
15% × x = 45
x = 45 ÷ 15%
x = 45 ÷ 15/100
x = 45 × 100/15
x = 4500/15
x = 300

Check:
15% × 300
= 15/100 × 300
= 15 × 3
= 45

45 is 15% of 300.

How many times does 2 go into 80

Answers

40

2 x 40 = 80
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IGNORE
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2 goes into 80 40 times

Jalyen had 88 books Malta had 56 how many books are left?

Answers

You just have to subtract the number of books jalyen and Malta had so when subtracted you get 32 books.
Are you trying to find the total or are you trying to find the difference?