Hello,
The answer to your question is....
2/3 + 3/8
= (2 × 8) + (3 × 3)
3 × 8
= 25/24 OR 1 1/24
Hope this helps!!!! Sorry I took so long :)
The goal is to get the inequality into the form Ax+By > C or Ax+By < C
First multiply both sides of the inequality by 2 to clear out the fractions
y > (3/2)x - 7/2
2*y > 2*( (3/2)x - 7/2 )
2y > 2*( (3/2)x ) + 2*( -7/2 )
2y > 3x - 7
Now get the x and y terms to one side; move the 7 to its own side
2y > 3x - 7
2y+7 > 3x - 7+7 ... add 7 to both sides
2y+7 > 3x
2y+7-2y > 3x-2y ... subtract 2y from both sides
7 > 3x-2y
3x-2y < 7 ... flip the two sides and the inequality sign
We finally have the inequality into the form Ax+By < C where
A = 3
B = -2
C = 7
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The answer is 3x-2y < 7
2-step equation scenario:
Bob wanted to purchase 2 hats and a pack of gum at one store; the pack of gum was $1.50, but the 2 hats did not have a price. Bob went to another store and found only 1 of the exact same hats that he found at the first store, and a the same pack of gum for a total of $30.
Question: what store has the better deal, where the total will be equal to the second store’s prices?
‘h’ = the hats
Here’s the equation:
2h+1.50=30.
Steps:
1.) Subtraction Property of Equality (inverse properties to combine like terms and define ‘h’): 2h=28.5. We subtracted +1.50 to cancel it out and move it to the other side of the = to combine like terms.
2.) Division Property of Equality (inverse property used to isolate ‘h’). 2h/2=28.5/2=14.25. We divided 2 from 2h to cancel it out and get h alone.
Therefore h=14.25.
This means that store 1 has the better deal, since 2(14.25)+1.50=30. So, Bob can have 2 hats and the pack of gum at store 1 for the same price as only 1 hat and a pack of gum at store 2.
Answer: 5%
Step-by-step explanation:
Given that:
Ticket price of jacket = $199
Final price after addition of sales tax = $208.95
Percentage sales tax on the jacket =?
Final price after addition of sales tax = price of jacket + amount of sales tax paid
208.95 = 199 + amount of sales tax paid
amount of sales tax paid = 208.95 - 199
amount of sales tax paid = $9.95
Let Percentage of sales tax = x
(x / 100) * 199 = 9.95
199x / 100 = 9.95
199x = 995
x = 5
Hence percent sales tax paid = 5%