Part 6
want to line the front of the school with cylinder shaped beams filled with moon sand. each beam is 37 feet tall with a diameter of 8 feet.

what is the total volume of each beam?

you are given a container with a 50,000 sq ft of sand for your beams.

1. how many beams can you fill with this sand?

2. will you have any sand left over? if so how much?

what did you do to get your answers to question 1 and 2? describe your work in detail.

Part 1) The volume of each beam is

Part 2) You can fill

Part 3) Yes, the amount of sand left over is

Step-by-step explanation:

Part 1) What is the total volume of each beam?

The volume of a cylinder is equal to

we have

----> the radius is half the diameter

assume

substitute the values

Part 2) How many beams can you fill with this sand?

we know that

You are given a container with a 50,000 sq ft of sand for your beams

Note Is a 50,000 cubic foot  of sand instead of 50,000 sq ft of sand

Divide the total volume of sand by the volume of each beam to obtain the number of beams

Round down

Part 3) Will you have any sand left over? If so how much?

yes

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%