Question

Please help me with the work

Answer 1

I will solve these equations algebraically.

Here you are:

1. 30= 5w

Divide each side by 5.

30÷5= 5w÷5

6 = w

∴ w= 6

To check,

30=5w

Substitute w for 6

30= 5 x (6)

30= 30

LS= RS

(You were correct, great job!)

2.

12 = x÷4

Multiply each side by 4.

12 x 4 = x/4 x 4 ↔ 4 and 4 cancel out.

48= x

∴ x=48

Checking:

12= 48÷4

12= 12

LS=RS

3.

y÷5=15

Multiply each side by 5.

y÷5 x 5= 15 x5

y =75

∴y=75

Checking:

Substitute y for 75.

y÷5=15

75÷5=15

15=15

LS=RS

4.

18x=72

Divide each side by 18.

18x ÷ 18= 72÷18

x = 4

∴x= 4

Checking

18x=72

18(4)=72

72=72

LS=RS

I hope that these solutions helped you. I am sure that using the solutions, you can figure out the other questions on your own.

Answer 2

1. you answered correctly :)

2. how many 1/4's go into 12? in other words multiply 12 and 4 to get 48/4

3. Draw a diagram of 1/5ths until it equals 15 (you'll need a total of 75 boxes)

4. the problem is 18z=72 so you need to divide 72 and 18. 72/18=4. therefore z equals 4.

5. make up a division problem that has the answer of 8. for example 24/y=3. y will equal 8. and then use a tape diagram for that.

6. make up a multiplication problem that has an answer of 8. for example 3y=24. y will equal 8. and then use a tape diagram for that.

7. Meghan is correct. when you have y divided by two you need to do the opposite and multiply both sides by two. Meredith was incorrect because she switched the division and multiplication signs completely which is not what you are supposed to do.

Explanation:

I hope this helped :) (the only thing you could write down word for word is #7. for 1-6 just read what i have to say and follow the directions and it should help) have a great day!!!!