240-15m = 200-5m
we need to get the terms with the m on one side of the equations and the other terms on the other side:
240-200 = -5m+15m
40 = 10m
m = 40/10
m = 4
Answer:
q1, q2, and q3 are all congruent.
Step-by-step explanation:
This a problem of conversion of units. to convert units, you must know at what values are each units equal. for this problem we must convert miles to feet. so 1 mile is equivalent to 5280 ft. so the answer is :
length in feet = 0.6 miles ( 5280 ft / 1 mile)
length in feet = 3168 feet
9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
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a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
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b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
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c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
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d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
