Answer: (6) $172.50 (7) $74.80 (8) $106.65 (9) $141.20
(10) $119.00 (11) 12.5% markup (12) 15% markdown
<u>Step-by-step explanation:</u>
Use the following formula <em>(+ for markup and - for markdown/discount)</em>
Base Price ± (Base Price × markup/markdown) = Adjusted Price
6. <em>Markup so add (+)</em>
150 + (150 × 0.15) = x
150 + 22.5 = x
172.50 = x
7. <em>Markdown so subtract (-)</em>
85 - (85 × 0.12) = x
85 - 10.2 = x
74.80 = x
8. <em>Discount so subtract (-)</em>
135 - (135 × 0.21) = x
135 - 28.35 = x
106.65 = x
9. <em>Markup so add (+)</em>
x + (x × 0.25) = 176.50
x + 0.25x = 176.50
1.25x = 176.50
x = 141.20
10. <em>Markdown so subtract (-)</em>
x - (x × 0.15) = 101.15
x - 0.15x = 101.15
0.85x = 101.15
x = 119.00
11. <em>The adjusted price is more than the base price so add (+)</em>
278 + (278 × x) = 312.75
278 + 278x = 312.75
278x = 34.75
x = 0.125
x = 12.5% markup
12. <em>The adjusted price is less than the base price so subtract (-)</em>
157 - (157 × x) = 133.45
157 - 157x = 133.45
-157x = -23.55
x = 0.15
x = 15% markdown
1. -8x = 3x
-11x = 0
x= 0
y= 3(0)= 0
(0, 0)
2. -7x = -4x - 12
-3x = -12
x = 4
y = -7(4)= -28
(4, -28)
Step-by-step explanation:
-Twice means muliply by 2
-The difference of a number and 7 means subtract a number/variable and 7.
-Is equal to 9 means =9
2(X - 7) = 9
Simplifying
5x + 2 = 3x + -4
Reorder the terms:
2 + 5x = 3x + -4
Reorder the terms:
2 + 5x = -4 + 3x
Solving
2 + 5x = -4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = -4 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = -4 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = -4 + 0
2 + 2x = -4
Add '-2' to each side of the equation.
2 + -2 + 2x = -4 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = -4 + -2
2x = -4 + -2
Combine like terms: -4 + -2 = -6
2x = -6
Divide each side by '2'.
x = -3
Simplifying
x = -3
IF sides AC and BC are the 'legs' of the triangle, then the length of the 3rd side is
√ (5² + 6²) = √(25 + 36) = √61 = 7.81 (rounded)
IF side BC is the longest side (hypotenuse) of the triangle, then the length of
the 3rd side is
√(6² - 5²) = √(36 - 25) = √11 = 3.32 (rounded)
