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
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Answer:
Not parallel.
Step-by-step explanation:
If the slopes are the same they are parallel.
So we convert each one to slope-intercept form:
-5x - 4y = -3
-4y = 5x - 3 Divide both sides by -4:
y = -5/4 x + 3/4.
Slope = -5/4.
-5x – 5y = -3
-5y = 5x - 3 Divide both sides by -5:
y = -1 x + 3/5.
Slope = -1.
The slope are different - so NOT parallel.
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Answer:
Yes.
Step-by-step explanation:
4 gallons is 16 quarts!