Y 4 times 5 = square 5 divided by 6 = x times B so the anwser is sq 9
Answer:
25
Step-by-step explanation:
When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.
y = 75 +7x . . . . . cost for x students to visit the science center
y = 50 +8x . . . . cost for x students to visit the natural history museum
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Subtracting the first equation from the second, we get ...
0 = -25 +x
25 = x . . . . . add 25; the number of students such that costs are equal
The cost will be the same either place for 25 students.
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<em>Additional comment</em>
Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...
$25/($1 /student) = 25 students.
This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).
Answer:
The only multiples of 3 between 20 and 30 are 21, 24, and 27. Only 27 satisfies the condition that it is 3 times the sum of its digits.
Step-by-step explanation:
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
Answer:
24
Step-by-step explanation:
Given that:
Total number of members who race = 18
Ratio of racers to divers = 6 : 2
To find:
Total number of members of the team = ?
Solution:
Given the ratio = 6 : 2
As per the ratio given, we can let the number of racers = 
and
As per the ratio given, we can let the number of divers = 
As the swim team members can either race or dive, we can say that:
Total number of members on the team = Number of racers + Number of divers
Total number of members on the team = 
As per the question statement, we are given that:
Therefore, total number of team members = 8 
3 = <em>24</em>
