Answer:
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Step-by-step explanation:
Answer:
3x-22=80+x
3x-x=80+22
2x=102
x=51
Step-by-step explanation:
the exterior angle is (3x-22) and then is equal to sum of 80 and x
and then we get 51
Answer: c(p) = 0.59*p
All we do is multiply the price per pound (0.59) by the number of pounds (p). In this case, we don't know how many pounds there are. So we leave p as is. If for instance, we had 10 pounds, then we'd replace p with 10. The variable is simply a placeholder for the unknown number.
Slope intercept is y=mx+b
m=slope
slope if found by
m=(y1-y2)/(x1-x2)
(x,y)
(-1,-2) and
(1,2)
x1=-1
y1=-2
x2=1
y2=2
m=(-1-1)/(-2-2)
m=-2/-4
m=1/2
y=1/2x+b
solve fo by subsituting one x value
(1,2)
x=1
y=2
2=1/2(1)+b
2=1/2+b
subtract 1/2
3/2=b
equation is
y=1/2x+3/2
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
