Answer: x=1
y=2
Step-by-step explanation:
y=-x+3
y=4x-2
-----------
y=y
-x+3=4x-2
3+2=4x+x
5=5x
x=1
y=-1+3
y=2
Questions:
A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?
Answer:
32 units of fabrics
Step-by-step explanation:
Given
Required
Find f when a = 4
Substitute 4 for a
Rewrite as:
Square both sides
Collect Like Terms
Divide through by 2
Square both sides
Collect like terms
Factorize
or
f can not be 0 because some units must be ordered.
So, f = 32
Answer: 486.60
Step-by-step explanation:
The answer is c. Because there are 3 times more blank marbles than white marbles.
Answer:
Step-by-step explanation:
Exterior angle property: Exterior angles equals the sum of remote angles
19x - 18 = 7x + 1 + 10x - 9
19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u> {Combine like terms}
19x - 18 = 17x - 8 {Subtract 17x from both sides}
19x - 17x - 18 = -8
2x - 18 = -8 {Add 18 to both sides}
2x = -8 + 18
2x = 10
x = 10/2
x = 5