Answer:
2,750+170d
Step-by-step explanation:
Calculation to Enter and simplify an expression for the amount in dollars that the company is paid
First step
Let d represent numbers of day
15(100+3d)
Second step is the Expression for the food booths
25(50+5d)
Third step is Expression for the game booths
15(100+3d)+25(50+5d)
Fourth step is the Expression for both game and food booths
15*100+15*3d+25*50+25*5d
=1,500+45d+1,250+125d
Fifth step is to make use of distributive Property
1,500+1,250+45d+125d
Last step is to make use of cumulative property
(1,500+1,250)+(45d+125d)
=2,750+170d (combine like terms)
Therefore expression for the amount in dollars that the company is paid is 2,750+170d
Answer:
Wayne used 2/5 more flour than sugar
Step-by-step explanation:
If you add 2/5 to 2/5 you get 4/5
Answer:
480 different sandwiches
Step-by-step explanation:
To find how many sandwiches can be made, we need to find the number of possibilities for each choice: bread, protein, cheese, vegetables.
Bread: 3 types -> combination of 3 choose 1 -> 3
Protein: 4 types -> combination of 4 choose 1 -> 4
Cheese: 4 types -> combination of 4 choose 1 -> 4
Vegetables: 5 types -> combination of 5 choose 2 -> 5!/(3!*2!) = 5*4/2 = 10
So the number of different sandwiches is:
3 * 4 * 4 * 10 = 480
Answer:
Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π
)/πr to be the equation for height.
Step-by-step explanation:
The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π, for a total of 2π. The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.
The total surace area of a closed cylinder is therefore 2π + 2πrh.
2π + 2πrh = 600
π + πrh = 300
πrh = 300 - π
h = (300 - π )/πr
