Step-by-step explanation:
(3x-4y)×(3x-4y-(3x+4y))
(3x-4y)×(3x-4y-3x-4y)
(3x-4y)×(-8y)
-8y×(3x-4y
His mistake was adding 12+2 when he was supposed to subtract.
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−46+23=46x+23
(−46+23)=46x+23(Combine Like Terms)
−23=46x+23
−23=46x+23
Step 2: Flip the equation.
46x+23=−23
Step 3: Subtract 23 from both sides.
46x+23−23=−23−23
46x=−46
Step 4: Divide both sides by 46.
46x/46 = -46/46
Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210
Step-by-step explanation:
Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.
Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be
300 + 0.7x
Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.
This means that the total cost of using plan B would be
40 + 0.9x
For both plans to be the same,
300 + 0.7x = 40 + 0.9x
0.9x - 0.7x = 300 - 40
0.2x = 260
x = $1300
The total yearly amount paid to the warehouse for each plan would be
40 + 0.9 × 1300 = $1210
