Answer:
36
Step-by-step explanation:
8x + 4 = 4x + 20
8x - 4x = 20 - 4
4x = 16 divide both sides by 4
x = 4 and JM = 8x + 4 replace x with 4
8×4 + 4 = 36
Answer:
for 1. it is 99 and for 3. it is 343.75
Step-by-step explanation:
for 1. you have to just multiply the length with width
for 3. you have to add both bases (35+20) and multiply the height (55 x 12.5) to it and then divide it by 2 (687.5 / 2)
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558.7 , because 74 x 7.55 = 588.7 , it would be his total for the two weeks
21.6 units
Calculate the length of the 2 inclined sides using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )
d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37
repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )
d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72
the vertical side has a length of 7 units
perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )
Time Distance Distance / Time
2hrs 90 miles 90 miles / 2 hrs = 45 miles / hr
3hrs 135 miles 135 miles / 3 hrs = 45 miles / hr
5hrs 225 miles 225 miles / 5 hrs = 45 miles / hr
6hrs 270 miles 270 miles / 6 hrs = 45 miles / hr
Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.
Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt
Constant of proportionality is k which is D/T
d = 45t
