Answer:
2
Step-by-step explanation:
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
Answer:
5≤u
Step-by-step explanation:
Put the words and numbers into an equation:
-5u+27≤2
Put all like terms on one side:
27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)
Simplify:
25≤5u
Solve:
5≤u
:)
Answer:
8
Step-by-step explanation:
B^2 = C^2 -A^2 89-25 = 64 sqrt(64) is 8
Answer:
Number 11: She has to add 5/36 of a cup
Number 12: The present costs $22,2
Number 13: 56,7 pounds is the weight of the package.
Number 14: You started with 40 muffins
Step-by-step explanation:
<u>Number 11</u>: 1/4 = 9/36 and 1/9 = 4/36
3*1/4 - 3*1/9 = 3*9/36 - 3*4/36 = 5/36
<u>Number 12:</u> 13,32/x= 3/5 ( or 0,6)
x = 13,32/0,6 = 22,2
<u>Number 13:</u> x * 5/7 = 40,5
x = 40,5/ (5/7) or 40,5 * 7/5 = 283,5/5 = 56,7
<u>Number 14:</u> 12/x = 3/10 (or 0,30)
x= 12/0,30 = 40