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sattari [20]
3 years ago
8

The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe

paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

I think that 3 rolls is wrong and that 6 rolls is right. If you create a 15 by 15 square and draw two lines through the center that connect to the opposite corner, you'll be able to use the Pythagorean Theorem.


Perimeter: 15+15+15+15=60ft.


Length of Line from Corner to Corner:

(15)(15)+(15)(15)=C^2

225+225=C^2

450=C^2

21.2=C

21.2(2)= 42.4ft.

42.4ft.+60ft.= 102.4ft.

102.4ft. divided by 20ft. = 5.12 = <u>6 rolls</u>



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Half of the students in an International School are Americans. One third of the remaining students are Europeans, and the rest a
Kazeer [188]

Answer:

450 students

Step-by-step explanation:

Let s = number of students

1/2 are Americans  1/2s are Americans

s -1/2s = number of students left

1/2 s = number of students left

1/3 of the students left are Europeans

1/3 (1/2s) = 1/6s  are Europeans

The rest are Australians = 150

Students = Americans + Europeans + Australians

   s          =   1/2s          +    1/6s    + 150

Combine like terms

s    = 1/2*3/3 *s + 1/6s +150

s = 3/6s + 1/6s +150

s = 4/6s + 150

Subtract 4/6s from each side

s -4/6s = 150

6/6s - 4/6s = 150

2/6s = 150

1/3s = 150

Multiply each side by 3

3* 1/3s = 150*3

s = 450

There are 450 students

3 0
3 years ago
Read 2 more answers
Emily is going to the movies this weekend with some friends. they have a total of $54 to spend. Emily wants a large popcorn that
timurjin [86]
Answer is 7

You have to do

54 - 12= 42

Then divide 42 by 6 which equals 7
3 0
3 years ago
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The width of a rectangle measures (3v-3w) centimeters, and its length measures (5v-9w) centimeters. Which expression represents
Alex17521 [72]

Answer: The Perimeter of the rectangle, P= 16v −24w

Step-by-step explanation:

Perimeter of a rectangle  = 2( L +W) =   2L + 2W

The width of a rectangle is given as  (3v-3w) centimeters,

its length is given as (5v-9w) centimetres

The Perimeter,P will now be  = 2L + 2W

P=2( 3v-3w) + 2( 5v-9w)

P=6v  −6w + 10v  - 18 w

 adding like terms

P=6v + 10v  −6w −18 w

P= 16v −24w

3 0
3 years ago
Please help!!!!!!!!!
Andrews [41]
Since sides kl and kj are congruent that means that angles klj and kjl are congruent. if angle klj is 58 then that means kjl is also 58. so you take the total number of degrees in a triangle (180) and subtract 58 and 58 (116) which leaves you with 64 ( the degree measure of lkj) 
5 0
3 years ago
4/3x + 1/6x = 36 (solve for x please help I have no idea what it is!!!!!!!
ElenaW [278]

Answer:

x = 24

Step-by-step explanation:

\frac{4}{3}x + \frac{1}{6}x = 36

Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.

\frac{8}{6}x + \frac{1}{6}x = 36

Now we can calculate the numerators and keep the denominators the same.

\frac{9}{6}x = 36

Find x.

\frac{6}{6}x = \frac{6}{9} × 36

x = 24

7 0
2 years ago
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