Answer:
1
Step-by-step explanation:
-3x+9=3(2x+3)+3(x-4)+1
Distributive property in the parenthesis
-3x+9=6x+9+3x-12+1
Combine Like Terms
-3x+9=9x-2
Get the x’s on one side
-3x+9=9x-2
+3. +2 +3. +2
11=11x
Divide by 11 on both sides
11/11=1
Answer:
*See below*
Step-by-step explanation:
<u>Identify and Explain Error</u>
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
<u>Correct Work/Solution</u>
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
<u>Share Strategy</u>
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
Answer:
rate of the current = 2 mph
Step-by-step explanation:
d = rt
Let c = rate of the current
Rate going downstream = c + 40
Time going downstream = 126/(40 + c)
Rate going up stream = 40 - c
Time going upstream = 114/(40 - c)
Since the times are equal, then
126/(40 + c) = 114/(40 - c)
126(40 - c) = 114(40 + c)
5040 - 126c = 4560 + 114c
240c = 480
c = 2 mph
opposite of a sum property
hope it helps
