A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width of the artifact. Write an expression for the volume of the case. Write your answer as a power.

Answers

Answer 1

Answer: Hello,
As each side of the display case is three times longer than the width of the artifact, the artifac is in the shape of a cube.
Let's the side of the artifac be x.
The volume of the case is (3x)^3=3^3*x^3=27x^3

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A tailor used 2 meters of string to make 10 Halloween masks. He used _ of a meter for each mask.

Answers

Answer: He used $(1)/(5)$ of a meter for each mask.

Step-by-step explanation:

Given : A tailor used 2 meters of string to make 10 Halloween masks.

Here, Total length of string = 2 meters

Number of masks = 10

The the part of a meter of string is used for each Halloween mask will be :-

$(2)/(10)=(1)/(5) \text{ meter}$ [Divide total length of string by number of masks]

Hence, he used $(1)/(5)$ of a meter for each mask.

one fifth of a meter for each mask
2/10=1/5

A rectangle has a length six inches less than twice its width. If the perimeter of the rectangle is 54 inches, find the dimensions.

Answers

Answer:

let the width of the rectangle be x inches

then the length would be 2x-6

as perimeter =2(l+b)

putting values in formula

perimeter = 2(2x-6+x)

p= 6x-12 but as perimeter p=54inches so

54=6x-12

54+12=6x

66=6x

x=66/6

x=11 inches

width is 11inches and length is 2x-6= 2(11)-6=22-6=16 inches

Step-by-step explanation:

Write the pairs of fractions as a pair of fractions with a common denominator3/10 and 2/5
1/3 and 3/4

Answers

Technically the first pair could be:
$(3)/(10)$ and $(4)/(10)$
IF that isn't an answer choice,
$(6)/(20)$ and $(8)/(20)$
Is correct as well
The second would be:
$(4)/(12)$ and $(9)/(12)$

3/10 and 2/5 would turn into 3/10 and 4/10. You don't have to change 3/10 because that is the common denominator.

1/3 and 3/4 would turn into 4/12 and 9/12 because 3 can go into 12 four times, so you do 1 x 4 which gives you a fraction of 4/12. You do the same with 3/4 too.

Need help plz. last two parts of a 80 question homework

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72. first multiply 1 1/2 by 2 and you get 3 for 6 dozen, then add 1/2 and you get 3 and 1/2 for 7 dozen.
73. 3+2 is 5, and 2 is 66% of 3, so it is a 66% increase
74. 495 X .07 is 34.65, so she gets $34.65 dollars
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I can not read the last 4 questions

Janelle has $75. She buys jeans that are on sale for half price and then uses an in-store coupon for $10 off. After paying $1.80 in sales tax, she receives $37.20 in change. What was the original price of the jeans?

Answers

75.00-37.20=37.80-1.80=36.00
so she spent 36.00 with sales tax . then 36.00*2=72.00+10.00=82.00
the jeans original price was 82.00
Check:

Make a table to help you solve each problem 1. Amita wants to make a mold for a candle. She wants the shape of the candle to be a rectangular prism with a volume of exactly 28 cubic centimeters. She wants the sides to be in whole centimeters. How many different molds can she make?

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You caught me there....I am officially stuck

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