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Korolek [52]
2 years ago
12

Twice the sum of a number is 9 is equal to three times the difference of the number and 7

Mathematics
2 answers:
docker41 [41]2 years ago
5 0

"Twice the sum of a number is 9 is equal to three times the difference of the number and 7" is our problem. Let's translate it into an equation.

Twice                                      2 times

the sum of a number           x +

and 9                                    9

is equal to                              =

three times                           3 times

the difference of a number x-

and 7                                      7


We move top down on the right side and make the equation. Then we solve it for x

2x + 9 = 3x - 7                           our equation

-x + 9 = -7                                    subtract 3x on both sides

-x = -16                                      subtract 16 on both sides

x = 16                                         divide both sides by -1


Thus the mystery number is 16.

soldi70 [24.7K]2 years ago
3 0
First, write put the information into an equation

2*(x+9) = 3*(x-7)

distribute the 2 and 3
2x + 18 = 3x - 21

Combine like terms (Xs and munbers) (in this case, it's easier to add 15 to both sides and subtract 2x from both sides so both sides end up being positive)
33 = x

x=33
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2 years ago
Read 2 more answers
URGENT
Ivan

This is a question of proportions:

First we can work out how many feet it goes up for each feet he steps back:

5.5/6 ft per each feet he steps back.

Now we can multiply this by the amount of ft back the cliff is:

(5.5/6)*30 = 27.5 ft

Thus the cliff is 27.5 ft tall,

Hope this helps :)

3 0
2 years ago
3.2g of sugar is needed to make 8 cakes. How much sugar is needed for 12 cakes?
4vir4ik [10]

3.2s:8c

4.8s:12c

Therefore, you would need 4.8g of sugar to make 12 cakes. This was solved by using ratios.

8 0
2 years ago
Read 2 more answers
6.371 in lowest terms
kozerog [31]
Well you would have to round this 5 and above goes up. Since 1 is lower than 5 that would leave you at 6.37. 7 rounds up so that would change to 6.4. Lastly 4 would round down, So that would leave you with 6. Now 6 is the simplest form but if your looking for rounded to the nearest tenth the answer would be 6.4. If your looking for rounded to the nearest 100th place 6.37. But over all simplest form is 6.
5 0
3 years ago
15/10 to a mixed number
tensa zangetsu [6.8K]
First, we have to find how many times 10 goes into 15.

We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.

Now, we can simplify!

In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)

1*5

1*10
2*5

The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.

5/5=1
10/5=2

So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)

We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.

1*2=2
2+1=3

Keep the denominator as 2.

The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!

So, our answer is 1 1/2.

I hope I helped! :)
3 0
3 years ago
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