Answer:
12
Step-by-step explanation:
I will explain it's because if 25/100 percent is fruit punch and if 3 of them are fruit punch so it will be 12 juices that means 3 x4
The new clothing budget is $161.
The original price is 361. If you reduce that by 200, it is 161.
The step that is the part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10 and (E) 0 = x2 – 9x + 20.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
To find the step that is the part of the process of algebraically solving the given system of equations:
That would be:
(C) 4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substituted for y).
Proof:
- y + 5x = x² + 10
- (4x - 10) + 5x = x² + 10
- 4x - 10 = x² -5x + 10
(E) 0 = x2 – 9x + 20 (liked terms are grouped and simplified).
Proof:
- 4x - 10 = x² -5x + 10
- 4x = x² -5x + 10 + 10
- 0 = x² -5x -4x + 20
- 0 = x² - 9x + 20
Solving:
- x² - 9x + 20 = 0
- x² - 5x - 4x + 20 = 0
- (x - 5) (x - 4) = 0
- x = 4 (as question says) OR x = 5
Therefore, the step that is part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10.
Know more about equations here:
brainly.com/question/13763238
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The complete question is given below:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Check all that apply.
(A) y = x2 + 5x + 10
(B) y + 5x = x2 + 10 + 4x – 10
(C) 4x – 10 = x2 – 5x + 10
(D) 0 = x2 – 9x
(E) 0 = x2 – 9x + 20
(F) One x-value of a solution to the system is 4.
Answer:
Simplifying
y = 2x2 + 20x + 52
Reorder the terms:
y = 52 + 20x + 2x2
Solving
y = 52 + 20x + 2x2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 52 + 20x + 2x2
Hope it helps =D