Part A: The algebraic equation for the situation is 2x - 3 = 5
Part B: Bob has 4 brand new music CD's
Step-by-step explanation:
Translate the situation into an algebraic equation:
- Ann has 5 brand new music CD’s, which is 3 less than twice the amount that Bob (x) has
- Find the value of x (the number of brand new CD's Bob has)
Part A:
∵ Bob has x brand new CD's
∵ Ann has 5 brand new music CD’s, which is 3 less than twice
the amount that Bob has
- That means multiply x by 2 and then subtract 3 from the product
and equate the answer by 5
∵ Twice x 2x
∵ 3 less than twice x = 2x - 3
∴ 2x - 3 = 5
The algebraic equation for the situation is 2x - 3 = 5
Part B:
Let us solve the equation to find the value of x
∵ 2x - 3 = 5
- Add 3 to both sides
∴ 2x = 8
- Divide both sides by 2
∴ x = 4
Bob has 4 brand new music CD's
Learn more:
You can learn more about the algebraic expressions in brainly.com/question/1600376
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Answer:
Step-by-step explanation:
The required withholding amounts are ...
- federal tax = 0.12×$1375 = $165.00
- state taxes = 0.07×$1375 = $96.25
- FICA = 0.0765×$1375 = $105.19
So, the total involuntary withholding is ...
$165.00 +96.25 +105.19 = $366.44
We want to find the voluntary withholding such that ...
(gross pay) - (involuntary withholding) - (voluntary withholding) = (net pay)
Adding (voluntary withholding - net pay) to both sides of this equation, we get ...
(gross pay) - (involuntary withholding) - (net pay) = (voluntary withholding)
Filling in the values we know gives ...
$1375 -366.44 -725 = voluntary withholding = $283.56
Your voluntary withholding is $283.56.
Answer:
To find his height u need to subtract 63-9
Step-by-step explanation:
63 - 9 = 54
Answer:
x = 6
y = 0
Explanation:
−2x+y=−12;3y−2x=−12
Rewrite equations:
−2x+y=−12;−2x+3y=−12
Solve −2x+y=−12 for y
−2x+y=−12
−2x+y+2x=−12+2x(Add 2x to both sides)
y=2x−12
Substitute 2x−12 for y in −2x+3y=−12
−2x+3y=−12
−2x+3(2x−12)=−12
4x−36=−12 (Simplify both sides of the equation)
4x−36+36=−12+36 (Add 36 to both sides)
4x=24
Divide both sides by 4
4x / 4 = 24 / 4
x = 6
Substitute 6 for x in y=2x−12
y=2x−12
y=(2)(6)−12
y=0 (Simplify both sides of the equation)
First you find the area of the square which is 8²=64 than you find the area of a circle using the formula πr² you get 201.06 and divide it by 4 because you only need the quarter and you get 50.26 the last step is to add the two areas together and you get 64+50.26=114.2