Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
Three between the x values and four between the y values
Steps:
*Find the unit rate*
1) 1,892.5/ 48.5 = 39
*Multiply it by 64*
2) 39 * 64 = 2,496
So, Boyd's car will travel 2,496 miles on 64 gallons of fuel.
Answer:
30 km
Step-by-step explanation:
1 kilometer = 100 meters.
1 meter = 100 cm
therefore, 1 km = 10,000
and then, 300000 cm is 30 km
<span>2/3 + y - 4/5 = 1/3
y = 1/3 - 2/3 + 4/5
y = -1/3 + 4/5
y =-5/15 + 12/15
y = 7/15</span>
