Step-by-step explanation:
Expand:
Simplify:Addvalues
Collect like terms and simplify
Divide both sides of the equation by12
Simplify
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
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Answer:
3.2x + 0.8y ≤ 50
Step-by-step explanation:
Mr. Ishimoto ordered math books and workbooks for his class.
Weight of each math book = 3.2 pounds
number of math books ordered = x
so, total weight of math books = 3.2x
Weight of each workbook = 0.8 pounds
number of workbooks ordered = y
so, total weight of workbooks = 0.8y
Since the total weight of the box of books cannot be more than 50 pounds, the equation would be
3.2x + 0.8y ≤ 50
Answer: B
Step-by-step explanation:
Answer:
The price for footballs is $5.46 and $14.54.
Step-by-step explanation:
Using the information that we have about the soccer ball prices, we can find out their daily profit to see how much the footballs daily profit should be. Plugging in 7.50 into the equation, we get 232.5 as their daily profit. To find what the footballs daily profit should be, we must minus 232.5 from 400. This ends up with 167.5
Now to find the price of the footballs, we must plug 167.5 into the equation and use the quadratic formula to find the prices.
Hope this helps : )
Answer:
At $7.50 per soccer ball, they earn a daily profit of $232.50.
The store needs to earn a daily profit of $400 – $232.50 = $167.50 from footballs.
Solve 167.50 = –4x2 + 80x – 150 to find the price for footballs: x = $5.46 and $14.54.