the volume of a rectangular prism is 2058 cubic cm. the length of the prism is 3 times the width. the height is twice the width.
2 answers:
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Let the school hire x buses and y vans.
A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.
The number of students riding in buses and vans is at least 400, therefore
40x + 8y ≥ 400 (1)
The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36 (2)
Write (1) and (2) as
y ≥ 50 - 5x (3)
y ≤ 36 - 3x (4)
The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
2x = 14
x = 7 => y = 36 - 3*7 = 15
A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.
The minimum cost of renting buses and vans is
7*$1200 + 15*$100 = $9900
Answer: The minimum cost is $9,900
A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.
The number of students riding in buses and vans is at least 400, therefore
40x + 8y ≥ 400 (1)
The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36 (2)
Write (1) and (2) as
y ≥ 50 - 5x (3)
y ≤ 36 - 3x (4)
The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
2x = 14
x = 7 => y = 36 - 3*7 = 15
A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.
The minimum cost of renting buses and vans is
7*$1200 + 15*$100 = $9900
Answer: The minimum cost is $9,900
Answer:
Step-by-step explanation:
Fraction of the total that is for corn (TC - Total corn):
fraction of the corn section that is for white corn (WC - white corn in the corn seccion):
we need to find the fraction of the whole field that is for the white corn.
For this we need to find how much is out of the
destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn (
) by the fraction of white corn in the corn section (
).
I will call the total fraction of white corn TWC, thus:
the answer is: of the whole field is planted with white corn
Answer:
The gestation period of rhinos (487 days) is 121. 3 percent longer than the gestation period of bears (220 days).
Step-by-step explanation:
Given:
Gestation period of rhinos = 487 days
Gestation period of bears = 220 days
To Find:
Percentage increase = ?
Solution:
The percentage increase =
On substituting the values,
=
=
=>
=> 121.3 %