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lesya692 [45]
3 years ago
6

The regular price of an item is $35. the item is on sale with a discount of $10. what is the discount rate?

Mathematics
1 answer:
salantis [7]3 years ago
5 0
About 29 percent. you would do 10*100/35=28.87 you would round up to 29 percent
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Arnold is trying to make packing boxes out of 6 foot by 6 foot pieces of cardboard from the local grocer. Help Arnold decide how
lions [1.4K]
<span>Part I: Determining Dimensions

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with the same size variable cut from each corner.

*You don't have to draw one, just explain what it would look like*


Answer:

Base of the box:

     it is a square
     side of the base = 6 foot - x - x. = 6 - 2x

Height of the box: x

Part II: Analyze

How does each variable expression relate to the length, width, and height of the box when folded?

Answer:

length = width = 6 - 2x
height = x


Part III: Extend your Findings
a. Based upon the variables you used in Part II, write a product for the volume.

Answer:

Volume = area of the base × height


Volume = (6 - 2x)² x

b. Expand the product to write a volume function.

Answer:

Volume = (36 - 24x + 4x²)x

Volume = 36x - 24x² + 4x³


c. What domain makes sense for the volume?

Answer:

Since x is a physical dimension x is greater than 0

Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3

So, the domain is (0, 3)


d. Guess and check values to find the size cut that produces a maximum volume.
*Six guesses are required*

Answer:

x              </span>Volume = 36x - 24x² + 4x³

0.1           36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5           36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0           36 - 24 + 4 = 16
1.5           36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0           36(2) - 24(2)² + 4(2)³ = 8
1.7           36(1.7) - 24(1.7)² + 4 (1.7)³ = 11.49
1.2           36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55

Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
2.9

7 0
3 years ago
(-3√ -81)(-5+√ -9)+9i
AnnyKZ [126]

Answer:

144i + 81

Step-by-step explanation:

(-3*9i)(-5 + 3i) + 9i

-27i (-5 + 3i) + 9i

FOIL

135i + 81 + 9i

144i + 81

5 0
3 years ago
Which of the following is the product of the rational expression shown below? 5/2x-1 x 6/x
Rina8888 [55]

Answer:

30/(2x^2-x)

Step-by-step explanation:

5/(2x-1) * 6/x

Multiply the numerators

5*6 = 30

Multiply the denominatos

(2x-1) *x = 2x^2 -x


5/(2x-1) * 6/x = 30/x(2x-1) = 30/(2x^2-x)

4 0
3 years ago
Read 2 more answers
What is the answer? And show how you got it .
Lubov Fominskaja [6]
First, let's find out how much the 6 boxes weigh. If one box of clay weighs 17.4 ounces, then how much does 6 boxes weigh? Well, let's multiply. 

                                17.4 × 6 = 104.4

Next, let's find out how much clay each student get. Since there are 18 students and only 6 boxes, let's find this out by dividing the ounces.

                                      104.4 ÷ 18 = 5.8

So, each student gets 5.8 ounces of clay. I hope this helps!
7 0
3 years ago
HELP if you’re smart answer all 9 questions its easy<br><br> NO LINKS!!! pls be correct
Nesterboy [21]

Step-by-step explanation:

if it's easy why don't you do it. not trying to be rude are whatever

8 0
3 years ago
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