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:
2 and 4 are correct
Step-by-step explanation:
1 is incorrect because 4/5 being bigger than 7/10
3 is incorrect because 2/3 is more than 5/9
Answer:
the vertex is of the equation is (3,2)
Answer:
3 : 5, 4: 5
Step-by-step explanation:
Let the common multiplier of the given ratios be x.
Therefore, lengths of the legs of right triangle would be 3x and 4x
By Pythagoras Theorem:

Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify
10x^2 - 15x - 7