Answer:
288 cubic feet
Step-by-step explanation:
add the 3 blocks.
block 1: 12*6*2=12*12=144
block 2: (12-4)*2*6=8*2*6=8*12=96
block 3: (12-4-4)*6*2=4*12=48
add them up:
144+96+48
288 cubic feet
with help of calculator
Who do you think got the better deal in the Compromise of 1850, the North or the South? Why?
The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
learn more on distance here: brainly.com/question/21329221
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Answer:
a = c + 16
Step-by-step explanation:
a = b + 12
b = c + 4
Solve for b in the first equation.
a = b + 12
a - 12 = b
Put b as a - 12 in the second equation and solve for a.
a - 12 = c + 4
a = c + 4 + 12
a = c + 16
Answer: option B is correct.
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (- 5, - 2) and (3, - 1),
y2 = - 1
y1 = - 2
x2 = 3
x1 = - 5
Slope,m = (- 1 - - 2)/(3 - - 5) = 1/8
To determine the intercept, we would substitute x = 3, y = - 1 and
m = 1/8 into y = mx + c. It becomes
- 1 = 1/8 × 3 + c
- 1 = 3/8 + c
c = - 1 - 3/8 = - 11/8
The equation becomes
y = x/8 - 11/8
