Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.
Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.
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In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
R + J = total speed
R - J = difference speed
Adding these two equations, we have
2R = (total speed + difference speed)
R = (total speed + difference speed)2 . . . . . as computed above
Answer: D
Step-by-step explanation:
From the equation given , ( -3)⁰(2x⁻¹y⁻¹)²
Recall :From the laws of indicies,
x⁰ = 1 ,and (xᵃ)ᵇ = xᵃ ˣ ᵇ = xᵃᵇ. and x⁻¹ = 1/ₓ
Therefore,
(-3)⁰ = 1,
( 2x⁻¹y⁻1 )² = 2²x⁻¹ ˣ ²y⁻¹ x ²
= 2²x⁻²y⁻²
=4x⁻²y⁻²
Now going by the law above, the expression will be
=4/ₓ²y²
So the answer is D
If you divide the area from the length your answer is the height of the triangle.
Answer:
−7z/2
Step-by-step explanation:
Answer:
The shortest side has length 24 ft
Step-by-step explanation:
Try this: 3x + 4x + 5x =96 ft, or
12x = 96 ft
Then x = (96 ft) / 12, or x = 8
Multiplying this factor 8 by 3, we get 24. The shortest side has length 24 ft.
The middle-length side is 4(8), or 32.
The longest side is 5(8), or 40.
Check: Do 40 and 32 and 24 add up to 96 ft?
do 72 and 24 add up to 96 ft?
Yes.
