Answer:
enough to paint an area = 80 m²
Step-by-step explanation:
area = 8 x 10 = 80 m²
Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 <u>The width is 7</u>
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The<u> Length is 10.</u>
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
If x is meant to equal the square footage of the house then we can substitute 1900 for x.
y = 0.074(1900) + 50.48
y = 140.6 + 50.48
y = 191.08
If y is meant to equal square footage then substitute 1900 for y.
y = 0.074x + 50.48
1900 = 0.074x + 50.48
1900 - 50.48 = 0.074x
1849.52 = 0.074x
1849.52/0.074 = x
24,993. 51 = x
Answer:
x < ( -2b+8)/-a
Step-by-step explanation:
-ax + 2b > 8
Subtract 2b from each side
-ax + 2b-2b >-2b+ 8
-ax > -2b+8
Divide each side by -a, remembering to flip the inequality
-ax /-a < (-2b+8)/ -a
x < ( -2b+8)/-a
