Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.
Answer:
(3, 4)
Step-by-step explanation:
vertex is (h, k)
this equation is written in the form of
y = a(x -h) +k
which is why the vertex is (3, 4)
We estimate the diameter of the larger wheel to be 24 to 25 inches.
The formula for the Circ. of a circle in terms of the diameter is C = pi*d.
Here, the Circ. of the larger wheel is approx C = pi(24 inches) = 24*pi inches,
or
24(3.14) inches = 75.36 inches. You must now choose from the four answer choices. Which one is closes to 75.36 inches?
Answer:
Step-by-step explanation:
(8x-6)
=2(4x-3)
