Let's make,
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
Answer:
25+40
Step-by-step explanation:
for the area of a triangle you multiple the base times the height. for the area of the square it is the length times width.
NOTE: to completely answer just add 25+40
Answer:
Ok soo.
Step-by-step explanation:
sum of two adjacent angles of parallelogram is 180
so angle K + angle L = 180
as AK bisects angle K and LA bisects angle L
so, angle AKL + angle ALK = 180 /2 = 90
in triangle AKL,
angle AKL + angle ALK+angle KAL = 180(sum of all angles in triangle = 180)
so, from above two equations,
angle KAL = 90
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The answer is 25z if you need to know how i can show you
Answer:
Problem:
Solve 3x−y=6;y=x−4
Steps:
I will try to solve your system of equations.
y=x−4;3x−y=6
Step: Solvey=x−4for y:
Step: Substitutex−4foryin3x−y=6:
3x−y=6
3x−(x−4)=6
2x+4=6(Simplify both sides of the equation)
2x+4+−4=6+−4(Add -4 to both sides)
2x=2
2x
2
=
2
2
(Divide both sides by 2)
x=1
Step: Substitute1forxiny=x−4:
y=x−4
y=1−4
y=−3(Simplify both sides of the equation)
Answer:
y=−3 and x=1
Step-by-step explanation:
Hope this helped you
