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:
-40 < x < 20
Step-by-step explanation:
step 1: -12 < 1/2(x+16) < 18 --> Distribute
step 2: -12 < 1/2x + 8 < 18 --> subtract 8
step 3: -20 < 1/2x < 10 --> Multiply by 2
answer : -40 < x < 20
Answer:
4.5
Step-by-step explanation:
The equation of an area of a circle is A=πr² where r is the radius.
The radius is also half the diameter. So the radius of the quarter is 1.2
A=π(1.2)²
A=π(1.44)
A=4.52389
<u><em>Answer:</em></u>
second leg = 24 units
hypotenuse = 24√2 units
perimeter = 48 + 24√2 units
<u><em>Explanation:</em></u>
<u><em>1- getting the other leg:</em></u>
Since the triangle given is an isosceles triangle, this means that the two legs are equal in lengths.
We are given that one of the legs is 24 units, therefore, the other leg is also 24 units
<u><em>2- getting the hypotenuse:</em></u>
The given triangle is a right-angled triangle. We can use Pythagorean theorem to get the hypotenuse as follows:
(hypotenuse)² = (24)² + (24)²
(hypotenuse)² = 1152
hypotenuse = 24√2 units
<u><em>3- getting the perimeter:</em></u>
The perimeter of the triangle is the summation of its three sides.
In the given triangle, we have:
two legs = 24 units
hypotenuse = 24√2 units
Therefore:
perimeter = 24 + 24 + 24√2
perimeter = 48 + 24√2 units
Hope this helps :)
