Answer:
x < -7
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
Distributive Property:
8x + 8 < 6x - 6
Subtract on Both Sides:
8x + 8 < 6x - 6
- 6x -6x
--------------------
2x + 8 < - 6
-8 -8
---------------
2x < -14
Divide on Both Sides:
2x < -14
--- ---
2 2
x < -7
Answer:
8 13/24
Step-by-step explanation:
42 2/3= 42 16/24
34 1/8= 34 3/24
42 16/24- 34 3/24= 8 13/24
Answer:
He washed 4 cars.
Step-by-step explanation:
1. The variable that was unknown x amount of cars washed.
2.The equation I used was 110-50=15x
3. To solve this you subtract the 50$ from 110$ you get sixty dollars you do that to take out what he earned for his allowance. Then your equation is 60=15x so you divide each side by 15 and when you do that x=4
A = s^2
A' = 2s*s'
When the area is 36 cm^2, the side (s) is 6 cm. The area is increasing at the rate
A' = 2(6 cm)*(6 cm/s) = 72 cm^2/s
Answer: First half was 24 minutes
Step-by-step explanation:
Let the time taken to finish the second half be y.
Since the student used 2/3 of the second half time to finish the first half, first half = 2/3 × y = 2y/3
The entire exam is an hour which equals 60 minutes
First half + Second half = 60minutes
Note that first half is denoted as 2y/3 and second half is denoted by y.
2y/3 + y = 60
5y/3 = 60
Cross multiply
5y = 60 × 3
5y = 180
y = 180/5
y = 36
Second half took 36 minutes
Since first half is 2y/3, it will be:
(2×36) / 3
= 72/3
= 24minutes
First half took 24 minutes.
