Answer:
the answer is #3
Step-by-step explanation:
Answer: 73 songs
Step-by-step explanation:
The online music club has a one- time registration fee of $13.95 and charges $0.49 to buy each song. Let x represent the number of songs that a member buys. This means that the amount that a member who just joins the music club pays for x songs would be
0.49x + 13.95
If Emma has $50.00 to join the club and buy songs, the maximum number of songs she can buy would be expressed as follows
0.49x + 13.95 = 50
0.49x = 50 - 13.95 = 36.05
x = 36.05/0.49 = 73.57
the maximum number of songs she can buy is 73 since the number of songs cannot be a fraction.
Answer:
The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.
Step-by-step explanation:
we have
![h(x)=-0.015x^{2}+1.08x+5.8](https://tex.z-dn.net/?f=h%28x%29%3D-0.015x%5E%7B2%7D%2B1.08x%2B5.8)
where
x represents the horizontal distance from the start in feet
h(x) s the height of the shot put above the ground in feet
Determine h(24)
That means ----> The height of the shot put above the ground for a horizontal distance of 24 feet from the start
substitute the value of x=24 ft in the quadratic equation
![h(24)=-0.015(24)^{2}+1.08(24)x+5.8](https://tex.z-dn.net/?f=h%2824%29%3D-0.015%2824%29%5E%7B2%7D%2B1.08%2824%29x%2B5.8)
![h(24)=23.08\ ft](https://tex.z-dn.net/?f=h%2824%29%3D23.08%5C%20ft)
so
The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.
Answer:
x = 32
Step-by-step explanation:
Using the Secant and Tangent Intersection Theorem we can say;
(x + 18) (18) = 30²
18x + 324 = 900
18x = 576
x = 32
Hope this helps!
Answer:
- 102 + (3x +2) = 180 . . . . equation to solve
- x = 25 1/3 . . . . . . . . . . . . value of x
Step-by-step explanation:
It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.
Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.
102 + (3x +2) = 180 . . . equation used to solve for x
3x = 76 . . . . . . . . . . . . . subtract 104
x = 76/3 . . . . . . . . . . . . divide by 3
x = 25 1/3 . . . the value of x