Answer: How many greeting cards he sells
Step-by-step explanation:
The cards are 5 dollars each. 1.99 for shipping is all the same. The only thing that changes is the amount that he sells. So the amount of Greeting cards sold is the dependent variable.
Answer:
30 oz of grey
25 oz of brown
Answer:
1. Going to the close store is cheaper.
Step-by-step explanation:
The difference in the prices of chicken is 3.19 -2.89 = 0.30 per pound, so for 5 pounds of chicken, the far store offers a price that totals 5×$0.30 = $1.50 less.
The difference in travel distances is 8.4 -2.4 = 6 miles, so the total round-trip distance difference is 12 miles. The cost of gas is ...
($3.81 /gal)/(23 mi/gal) = $0.1656 /mi
so the cost of gas for the 12-mile longer trip would be
12×$0.1656 ≈ $1.99
Traveling to the far store, you would spend $1.99 more on gas to save $1.50 on the price of chicken. Going to the close store is cheaper.
The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8