The answer is 170. Hope this helps :)
Answer:
57 children
54 adults
Step-by-step explanation:
Let's call x the number of children admitted and call z the number of adults admitted.
Then we know that:
We also know that:
We want to find the value of x and z. Then we solve the system of equations:
-Multiplay the first equation by -4 and add it to the second equation:
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Now we substitute the value of x in the first equation and solve for the variable z
Answer:
$7,596.43
Step-by-step explanation:
The cost of the college tuition is increasing 5% compounded annually for 5 years.
∴ A = P(1 + r%)ⁿ
where A = tuition fee after 5 years.
P = current tuition
r = rate of increase
n = period
A = $5,952(1 + 5%)⁵
= $5,952(1 + 0.05)⁵
= $5,952 × 1.05⁵
= $7,596.43
=
The sum of the opposite interior angles is equal to the exterior angle.
So,
∠CAB + ∠ACB = ∠CBD
x + 40 + 3x + 10 = 6x
4x + 50 = 6x
2x = 50
x = 25°
∠CAB = x + 40 = 25 + 40 = 65°
Hence, the answer is D.
Answer:
x=12
Step-by-step explanation:
The right side is a right triangle
The base is 1/2 of the bottom or 5
The height is x and the hypotenuse is 13
We can use the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +x^2=13^2
25+x^2 = 169
Subtract 25 from each side
25-25+x^2 = 169-26
x^2 =144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x= 12
