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$/hr
Answer:
x<8 or x>13
Step-by-step explanation:
x-5 < 3
x < 3 + 5
x <8
OR
x – 5 > 8
x > 8 +5
x >13
combining the two, the combined answer for x is
x<8 or x>13
Answer:
1554
Step-by-step explanation:
PEMDAS
42[13+4(6)]
42[13+24]
42(37)
1554
Answer:
12
Step-by-step explanation:
to find the answer, divide 6 by 0.5. you will get 12
Answer:
658.91$
Step-by-step explanation:
Find the total cost
flight cost 397$
staying at the hotel for 6 night cost 6 x 28.43£
= 170.58£ = 233.69$
breakfast for 4 morning cost 4 x 5.15£= 20.6£
= 28.22$
Total cost is 397$+233.69$+28.22=658.91$
