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:
0
Step-by-step explanation:
A= (4-1)^3
simplify A to be 3^3
Which gives us 27
B=(2*3)^2-9
simplify B
first multiply the 2 numbers in paranthesis which gives us 6. raise it to the power of 2 which is 39 and then subtract 9. Gives us 27.
C=15^3*4-12
Simplify the exponent first. 3*4 gives us 12 and 12-12 equals 0. Anything raised to the power of 0=1
If A-B^C is the equation we can write 27-27 raised to the power of 1 which is 0
252 dollars. (First you find how much is being added each week, it’s 24 dollars, then you multiply it by 18, and get 252.)
Answer: $38,300
Step-by-step explanation:
$28,000 + $10,300 = $38,300
Answer:
G(-3,-2) W(-3,0) E(1,1)
Step-by-step explanation: