Answer: 6 large frames and 12 small frames
Step-by-step explanation:
We define the following:
x = number of large frames
y = number of small frames
Make the following equations:
x + y = 18
19x + 9y = 222
Use system of equations to solve. We find the value of x first.
y = 18 - x
⇒ 19x + 9(18 - x) = 222
⇒ 19x + 162 - 9x = 222
⇒ 10x + 162 = 222
⇒ 10x = 60
⇒ x = 6
Find value of y:
6 + y = 18
y = 12
∴ 6 large frames and 12 small frames were purchased.
Answer:
y = 4
Step-by-step explanation:
Step 1: Write equation
9/4y - 12 = 1/4y - 4
Step 2: Solve for <em>y</em>
- Subtract 1/4y on both sides: 8/4y - 12 = -4
- Simplify: 2y - 12 = -4
- Add 12 to both sides: 2y = 8
- Divide both sides by 2: y = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9/4(4) - 12 = 1/4(4) - 4
9 - 12 = 1 - 4
-3 = -3
Answer: x = 40.81 or 41
Step-by-step explanation:
A = B = 21
C = 35
Hypotenuse = x
Calculating Hypotenuse:
21^2 + 35^2 = x^2
=> 441 + 1225 = x^2
=> x^2 = 1666
=> x = 40.81 or 41
Answer:
Step-by-step explanation:
You have to do total ratio
that will give you 20/15
