Answer:
a = 40
Step-by-step explanation:
This is a multi-step equation using the distributive property and rational coefficents (fractions). The first step is to complete the distributive property on both sides of the equation and multiply each term in the expression in parenthesis by the constant on the outside. (3/4 x 2a) - (3/4 x 6) +1/2 = (2/5 x 3a) + (2/5 x 20). When we multiply and simplify, we get 3/2a - 9/2 + 1/2 = 6/5a + 8. Next step is to combine like terms: 3/2a - 8/2 = 6/5a +8. We then need to isolate the variable by using inverse operations: 3/10a = 12, then solve for 'a' by multiplying both sides by the reciprocal (10/3) to get a = 40.
Answer:
The answer is below
Step-by-step explanation:
Motion shows the change in the position of an object over time. This change is showed in terms of displacement, distance, velocity, acceleration, time and speed. The equations of motion shows this relationship.
Since the soccer ball is kicked up with an initial velocity (u) of 15 m/s, the acceleration due to gravity (g) acts on the ball. If the ball is kicked at an angle Θ, the time t it takes for the ball to reach the ground is:
Answer:
-9 = b
Step-by-step explanation:
-12=24+4b
subtract 24 from both sides
-36 = 4b
divide both sides by 4 to get variable by itself
-9 = b
Answer:
⦿ (7, 2)
Step-by-step explanation:
Try each solution in both inequalities and see which solution makes both inequalities true.
4x + 2y > 8
x - y ≥ 2
A. (2, 4)
4(2) + 2(4) > 8
16 > 8 True
2 - 4 ≥ 2
-2 ≥ 2 False
B. (4, 0)
4(-4) + 2(0) > 8
-16 > 8 False
C. (7, 2)
4(7) + 2(2) > 8
32 > 8 True
7 - 2 ≥ 2
5 ≥ 2 True
D. (1, -3)
4(1) + 2(-3) > 8
-2 > 8 False
Answer: C.
9x-8=9x-3/2 X3
9x-8=27x-9/2
2(9x-2)=27x-9
18x-4 =27x-9
18x-27x=-9+4
-9x =-5
9x=5
X=5/9 answer
