Answer:
n+(n+2)+20=4n
Step-by-step explanation:
Let the smaller integer be n,
the bigger odd integer will be n+2.
n+(n+2)+20=4n
2n+22=4n
2n=22
n=11
Answer:
96 liters
Step-by-step explanation:
Two liters are in each bottle, so that means they sold 12 bottles of oil each day. Multiply that with 8 days to get the answer:
12 × 8 = 96
Ninety-six liters.
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5
<span>Let x = dollar increase in price
Let y = fewer number of pairs sold
Since 2 fewer shoes are sold for each 1 dollar (factor of 2)
y = 2x
Revenue = Number of shoes sold * Price charged per shoe
Number of shoes sold = 200 - y = 200 - 2x
Price charged per shoe = $60 + $x
Revenue = (200 - 2x)(60 + x) = -2x^2 + 200x - 120x + 12000
Revenue = -2x^2 + 80x + 12000
In a quadratic equation, Revenue is maximized when x = -b / 2a. In this case:
x - -80 / (2*-2) = $20
Price charged per show = $60 + $x = $60 + $20 = $80.
Maximum revenue = -2x^2 + 80x + 12000 (evaluated at x = $20)
Maximum revenue = -2(20^2) + 80*20 + 12000 = $12800</span>