5(2t−3)−7.5t=0.5(12−t)
can you solve for t?
Thank you!

T=7

Step-by-step explanation:

0t−15−7.5t=6−0.5t

2 Simplify  10t-15-7.5t10t−15−7.5t  to  2.5t-152.5t−15.

2.5t-15=6-0.5t2.5t−15=6−0.5t

3 Add 1515 to both sides.

2.5t=6-0.5t+152.5t=6−0.5t+15

4 Simplify  6-0.5t+156−0.5t+15  to  -0.5t+21−0.5t+21.

2.5t=-0.5t+212.5t=−0.5t+21

5 Add 0.5t0.5t to both sides.

2.5t+0.5t=212.5t+0.5t=21

6 Simplify  2.5t+0.5t2.5t+0.5t  to  3t3t.

3t=213t=21

7 Divide both sides by 33.

t=\frac{21}{3}t=

3

21

8 Simplify  \frac{21}{3}

3

21

  to  77.

t=7t=7

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.