54.4k views
2 votes
Answer these for me please pretty please

1.t (divided by) 5.4=9.01
2.3/4x=2
3.s+1/4=12 1/2
4.2 2/3+ y= 4 1/4

User Groostav
by
8.2k points

1 Answer

3 votes

Answer:

1. t = 48.654

2.
x = (8)/(3)

3.
s = (49)/(4)

4.
y = (19)/(12)

Explanation:

To solve equations using variables, perform inverse operations to undo each part and isolate the variable.

1.
(t)/(5.4) =9.01

Multiply by 5.4 on both sides to undo division.

t = 9.01 * 5.4

t = 48.654

2.
(3)/(4)x = 2

Multiply both sides by the reciprocal of 3/4 which is 4/3.


x = 2*(4)/(3) \\x = (8)/(3)

3.
s + (1)/(4) = 12(1)/(2)

Convert 12 1/2 into an improper fraction.


s + (1)/(4) = (25)/(2)

Subtract 1/4 from both sides.


s + (1)/(4) - (1)/(4)  = (25)/(2) - (1)/(4)

To subtract fractions without common denominators, convert 25/2 into a fraction with denominator of 4.


s = (50)/(4) - (1)/(4)\\s = (49)/(4)

4.
2(2)/(3) + y = 4 (1)/(4)

Subtract 2 2/3 from both sides.


2(2)/(3) - 2(2)/(3)  + y = 4 (1)/(4)- 2(2)/(3)

Convert each fraction into improper fractions and then to common denominators.


y = (17)/(4) - (8)/(3)\\\\ y = (51)/(12) - (32)/(12) \\\\y = (19)/(12)

User Mohamedrias
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories