10 - 2x = 120
120 + 10 = 130
130 / 2 = 65
x = 65
2(65) - 10 = 120
Answer:
1. x= -56.25
Expand
19.5-6.5x+36=201-4.5x-33
Simplify
-6.5x+55.5=201-4.5x-33
Simplify again
6.5x+55.5=-4.5x+168
Add 6.5 to both sides
55.5=-4.5x+168+6.5x
Simplify
55.5=2x+168
Subtract
55.5-168=2x
Simplify
112.5=2x
Divide both sides by 2
−112.5÷2 = x
Simplfy
x = -56.25
2. x > -7 ÷ 4
Or
Decimal Form: -1.75
Remove parentheses
12x>4x+5−19
Simplify
12x>4x-14
Subtract
12x-4x>-14
Simplify
8x>-14
Divide both sides by 8
x > -14 ÷ 8
Simplify
x > -7 ÷ 4
Or
Decimal Form: -1.75
3. Answer: Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
Hope this helps!!! Good luck!!! ;)
Answer: he must work for at least 26.32 hours
Step-by-step explanation:
Let x represent the number of hours that Hayden works as a life guard.
Hayden earns $9.50 per hour as a lifeguard. This means that the amount that he earns for working for x hours would be
9.5x
He earns a bonus of $50.00 for taking a training course. If he takes this bonus cost, the amount that he would earn for working for x hours is
9.5x + 50
Therefore, the number of hours that he must work to earn at least $300.00 would be
9.5x + 50 ≥ 300
9.5x ≥ 300 - 50
9.5x ≥ 250
x ≥ 250/9.5
x ≥ 26.32
Answer:
2x+3 / x = 1
Step-by-step explanation:
Answer:
x = 37
Step-by-step explanation:
2x + 9 = 83
-9 -9
2x = 74
--- ----
2 2
x = 37
