Step-by-step explanation:
3x + 5y = 50
x + 5y = 31
use substitution
x = 31-5y
3(31-5y) +5y = 50
93 -15y + 5y = 50
93 - 10y = 50
--10y = -43
y = 43/10 = $4.30 for kids
now solve for x
x + 5(4.30) = 31
x + 21.5 = 31
x = $9.5 for adults
Answer:5
Step-by-step explanation:5/3 x 3/1= 15/3= 5
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
Answer:
B. a = 4, b = -8, c = -3
Step-by-step explanation:
The quadratic equation given is:

The general form of a quadratic equation is given as:

Let us put the given equation in this form and then compare with the general form of the quadratic equation.

Therefore, by comparing:
a = 4
b = -8
c = -3
The correct option is B
Answer:

Step-by-step explanation:
Given Surface Area of Cylinder =
,
and also given r = 4.25 inches and h = 6 inches.
Let's Substitute r and h into the formula to find the total surface area.
Surface Area of Cylinder = 