Soccer balls go on sale for $7.50 each. The store also sells footballs and the manager wants to earn a daily profit of $400 from both items. The equation y=-4x^2+80x-150 models the store’s daily profit, y, for selling footballs at x dollars. Explain how to find the price per football needed to meet the goal.
Answers
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.
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Answers
Answer:
60 miles per hour
Step-by-step explanation:
There are 60 minutes in one hour. Understanding this will allow us to solve the problem.
If a car travels 15 miles in 15 minutes, then we need to calculate how many miles they traveled in one hour or 60 minutes. 15 goes into 60, 4 times (60/15 = 4).
We can set up the proportion like this:
15 miles x miles
________ = __________
15 minutes 60 minutes
To find x, we just multiply 15 miles by the same amount as we did for 15 minutes, 4. 15 * 4 = 60, so the car is traveling 60 miles per hour.
The question is about calculating speed in Mathematics. Given that a car travels 15 miles in 15 minutes, converting 15 minutes to 0.25 hours, we can determine the speed by dividing distance by time. Thus, the car travels at a speed of 60 miles per hour.
The subject of this question is Mathematics, specifically focused on the concept of speed calculations. We are asked to calculate the speed of a car in miles per hour (mph), given that it traveled 15 miles in 15 minutes.
The formula to calculate speed is distance divided by time. However, we need to ensure that both measurements are in the same units. In this case, time is given in minutes but we need the speed in miles per hour (mph), so we'll need to convert minutes to hours.
As there are 60 minutes in an hour, the time of 15 minutes becomes 15 / 60 = 0.25 hours. Thus, the speed of the car is calculated as 15 miles / 0.25 hours = 60 mph.
So, a car that travels 15 miles in 15 minutes is traveling at a speed of 60 miles per hour.
Learn more about Calculating Speed
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Answers
Answer:
A' will coincide with C of the pre image, and B' will coincide with D of the pre image.
Step-by-step explanation:
A Regular Hexagon could be imagined as a circle divided into six points on the circle, that are separated by angles of 60° (notice that 6 times 60° is 360°).
Now we name each point as ABCDEF clockwise, and then we rotate the hexagon about its center (counterclockwise)... the original points ABCDEF are renamed as A'B'C'D'E'F' in the rotated hexagon.
As the rotation was of 240°, the points will coincide with some of the original points: point A will "jump" for points, the same as point B.
This means that point A rotated, (wich is A') will coincide with point C pre rotated, and that point B rotated, (wich is B') will coincide with point D pre rotated.
Answers
Answer:
0.9646
Step-by-step explanation:
:)
b. about 250
c. about 2,500
d. about 25,000
Answers
102.02 / 4.011 =25.4350536
rounded 25.43
or 25
Answers
8w = 179.40 - 35
8w = 144.40
w = 144.40/8
w = 18.05 per week
Answer:a
Step-by-step explanation:
B) (5)^-7
C) (5)^ (5-7)
D) (5-7)x^
Answers
Answer:
A (5-7)^
Step-by-step explanation:
We have the next two functions h(x)=x-7 and g(x)=x^. We need to find (g•h) that is equal to g(h(x)) then:
(g•h)=g(h(x))=(x-7)^
Finally in the poin x=5 we have:
(g•h)=g(h(x))=(x-7)^
(g•h)=g(h(5))=(5-7)^
Then the answer is A
(g•h)(5) means that you need to solve g(h(5)). So, you plug 5 in for x in h(x), then you plug the solution of that in for x in g(x) like so:
The answer is A. (5-7)²
Hope this helps!