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
__
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.
__
<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: 2 4/5
Step-by-step explanation:
14/3 - 2 2/5
14/3 - 12/5
= 34/15
= 2 4/15
Answer:
26 wins , 14 ties
Step-by-step explanation:
Given: Hockey teams receive 
points when they win and 
point when they tie. One season, a team won a championship with 
points. They won 
more games than they tied.
To Find: How many wins and how many ties did the team have.
Solution:
let the number of wins hockey team have 
let the number of ties hockey team have 
Now,
Hockey teams receive points when they win and point when they tie.
They won more games than they tied
Solving both equations we get
Hence, the hockey team have 
wins and 
ties.
Answer:
Step-by-step explanation:
The formula to find the area of a circle is
We know that
Therefore the area is
From 10 to 15 -> 10 increased with half its size (5), that means increase of 50%
From 16 to 12 -> decrease of 4, which is a quarter of 16, that means a decrease of 25%
