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
The granola summer buys used to cost $6.00 per pound but it has been marked up %15 Question: How much did it cost summer to buy 2.6 pounds of granola at the old price.=> previous price of granola = 6.00 dollars per pound=> marked up 15% = 15% /100% = .15Solve:=> 6 * .15 = .9=> 6 + .9 = 6.9 dollars per poundNow, you want to buy 2.6 pounds=> 6.9 * 2.6 = 17.94 dollars <span>
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Answer:
9c² -30c + 25
Step-by-step explanation:
Perfect square trinomial: (a - b)² = a² - 2ab + b²
(3c - 5)²
(3c)² -2(3c * 5) + 5²
9c² -2(15c) + 5²
9c² -30c + 25
Final answer: 9c² -30c + 25
Hope this helps!
A dot plot shows results from a range of data, giving it coordiantes so you can plot it on a graph
If we say:
x = the number we want to find
Then, we can formulate an equation using the information given:
1414 - 4x/5 = 4
Now, we just solve for x:
4x/5 + 4 = 1414
4x/5 = 1410
4x = 7050
x = 1762.5
