22 = 3x - 10 and 23 = x + 30 x = [?]
1 answer:
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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:
----------------------------------
Now we substitute the value of x in the first equation and solve for the variable z
The expressions for the width, W, and area, A, of the rectangle in terms of L are:
- W =
- L
- A =
The expression for the perimeter of a rectangle is given as:
P = 2(L + W)
where L is its length and W its width
a. Given that the perimeter of the rectangle is 13 feet, then;
13 = 2(L + W)
divide through by 2
= L + W
So that;
W = - L
The required formula for the width as a function of L is: W = - L
b. Area of a rectangle can be expressed as;
A = L * W
substitute the expression for width in that of area to have
A = L * ( - L)
= L -
A =
The expression for the area A is: A =