Answer:
The equation to solve the problem is
306 = 249 + x
x = 306 - 249
Hence:
57 students went outside
Step-by-step explanation:
Let the number of students outside be represented by x
Hence:
Number of students in the cafeteria = Number of students inside - Number of students who went outside
We are told:
There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.
The equation to solve the problem is given as:
306 = 249 + x
x = 306 - 249
Hence:
x = 57
57 students went outside
Answer:
Step-by-step explanation:
First, we write the rental cost with each company:
Company A
Company B
Where m: miles travelled
Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:
Solving the equation for m by taking 0.2m and 60 on both sides:
Finally, dividing 0.5 on both sides:
Answer:
6
Step-by-step explanation:
square root of 144 is 12, square root of 4 is 2, square root of 16 is 4. SO your equation is now 12x 2 divided by 4. 12 times 2 is 24. Then divide 24 by 4 and you get 6. Therfore, your answer is 6.
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<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>