The answer is C) 24.
24 + 19 = 43.
43 - 24 = 19.
M = hours driven by Maria
c = hours driven by Carlos
since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or
52c.
Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or
54m.
now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that
54m + 52c = 217.
we also know it took 4.1 for the whole trip, so
m + c = 4.1.

so Maria drove for 1.9 hours.
How many hours did Carlos drive for? well, c = 4.1 - m.
ANSWER

EXPLANATION
The first equation is

The second equation is

We want to eliminate y, so we multiply the first equation by



We now subtract equation (3) from (2)



Multiply both sides by



Substitute into the first equation to solve for x .

Multiply to obtain



Multiply both sides by 2.


The solution is

Answer:
$75 because 900 divided by 12 is 75
Step-by-step explanation:
1. vertical angle theorem and triangle angle sum theorem
2. The sum of the interior angles of a triangle = 180
so < x = 180 - (70 + 30) = 180 - 100 = 80
and < y is a vertical angle to < x...and vertical angles are equal..
so < y = 80