Answer:
Step-by-step explanation:
∠ E =∠ B { corresponding part of congruence triangle are equal}
2x + 4 = 40
2x = 40 - 4
2x = 36
x = 36/2
x = 18
Just divide 27.040 divided by 40 equals 0.648 witch means 648 $ per hour well i think
<u>Given</u>:
A ball is kicked 4 feet above the ground with an initial vertical velocity of 55 feet per second.
The function
represents the height h(in feet) of the ball after t seconds.
We need to determine the time of the ball at which it is 30 feet above the ground.
<u>Time:</u>
To determine the time that it takes for the ball to reach a height of 30 feet above the ground, let us substitute h(t) = 30, we get;


Adding both sides of the equation by 16t², we get;

Subtracting both sides of the equation by 55t, we have;

Let us solve the quadratic equation using the quadratic formula, we get;







The value of t is t = 0.6 because this denotes the time taken by the ball to reach a height of 30 feet from the ground.
Therefore, the time taken by the ball to reach a height of 30 feet above the ground is 0.6 seconds.
Answer:
the price per candy is $0.16
and she has $16.00 in her pocket.
Step-by-step explanation:
x = the money in her pocket.
y = the price per candy
x + 3.2 = 120×y
x - 2.4 = 85×y
y = (x - 2.4)/85
=>
x + 3.2 = 120×(x - 2.4)/85 = (24x - 57.6)/17
=>
(17x + 17×3.2)/17 = (24x - 57.6)/17
17x + 54.4 = 24x - 57.6
54.4 = 7x - 57.6
112 = 7x
x = 16
y = (16 - 2.4)/85 = 13.6/85 = 0.16
Answer:
y = 23
x ≈ 13
Step-by-step explanation:
3y + (y+88) = 180
Solve for y
y =23
6x + 35 = y + 88
substitute y = 23
6x + 35 = 23 + 88
Solve for x
x ≈ 13