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).
9514 1404 393
Answer:
-3 1/2
Step-by-step explanation:
Put the argument where the variable is and do the arithmetic.
f(-1/4) = 2(-1/4) -3 = -1/2 -3
f(-1/4) = -(3 1/2)
Just use the definitions and put them in order to explain the problem.m. for instance. why are angles a and b vertical angles? they are adjacent and they are supplementary.
The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5
<u>Solution:</u>
Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )
We have to solve the above given equation for x.
Now, take the equation

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction
On solving the brackets, we get

Now multiplication is given preference


Now subtraction is done

Now division is performed

Hence, the value of x is 4.5