Answer:
y ≤ 3x
y > - 2x - 1
(1st choice)
Step-by-step explanation:
The distributive property is when you have, for example, 2(1+3), and you multiply the 2 by both terms and add them together. so 2(1+3) = 2(1) + 2(3) = 2 + 6 = 8.
so with 16 + 48, to show the distributive property, you could divide by any common factor of 16 and 48. some correct ways to do this are:
16 + 48 = 2(8 + 24)
16 + 48 = 4(4 + 12)
16 + 48 = 8(2 + 6)
16 + 48 = 16(1 + 3)
you're just dividing 16 and 48 by the outside term to get the 2 numbers in the ( )
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:
$15
Step-by-step explanation:
Let bushes = b and trees = t.
We can write:
12b + 15t = 600 (Equation 1)
8b + 20t = 680 (Equation 2)
24b + 30t = 1200 (Equation 3 -- Multiply Equation 1 by 2)
24b + 60t = 2040 (Equation 4 -- Multiply Equation 2 by 3)
30t = 840 (Subtract Equation 3 from 4)
t = 28 (Divide by 30)
12b + 15 * 28 = 600 (Substitute t = 28 into Equation 1)
12b = 180 (Simplify)
b = 15 (Divide by 12)
