The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit ho
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Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism =
=
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches
1.
Let the sandwich be represented by = x
Let the drink be represented by = y
As given, Joe charges $10.00 for two sandwiches and one drink, so equation becomes 2x+y=10 ....(i)
He charges $6.50 for one sandwich and one drink, so equation becomes x+y=6.50 ....(ii)
Subtracting (ii) from (i) we get
x=3.50
And as x+y=6.50
y=6.50-3.50=3.00
Hence, cost of a sandwich is $3.50 and a drink is $3.00
2.
the question is incomplete. coordinates are missing
3.
Let x represent the number of performances
cost = 8000+300x
revenue = 700x
To break even, the cost must be equal to the revenue.
so x=20
Hence, 20 performances are needed to break even.
4.
Let us take x for 20% material, y for 50% material
......... (1)
Accounting for volumes to use, x+y=200 or x=200-y ................ (2)
Putting the value of x in (1)
y=66.67
x=200-y = 200-66.67 =133.33
Hence, 133.33 ml of 20% acetic acid and 66.67% of 50% acetic acid is needed.