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lesya [120]
3 years ago
14

Lily had 95 inches of yarn. After cutting 4 pieces that were each the same length, she had 15 inches of yarn left.

Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0

Answer:

20 inches

Step-by-step explanation:

Step 1: Subtract the total from what was left

95 - 15 = 80

Step 2: Divide the result into the 4 pieces

80 \div 4

=\frac{80}{4}

= 20

Each of the four pieces Lily cut was 20 inches.

Anika [276]3 years ago
6 0
Each was 10 inches because she had 95 and 95-15=40 divided by 4 = 10
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The length of a rectangle is three less than four times the width. The perimeter of the rectangle is 54 feet. Find the width of
kirill115 [55]

Answer:

6 ft

Step-by-step explanation:

Let the width = w

Then the length = 4w - 3

perimeter = 2(length + width)

perimeter = 2(4w - 3 + w)

perimeter = 2(5w - 3)

perimeter = 10w - 6 = 54

10w - 6 = 54

10w = 60

w = 6

Answer: The width is 6 ft

4 0
3 years ago
How do you solve this?
trapecia [35]

Answer: 140^3

Step-by-step explanation:

The 3 is an exponent. To solve this, you basiclly have to multiply the three numbers and add a 3 exponent.

3 0
3 years ago
3
almond37 [142]

The relationship between the number of pentagons and the perimeter will be

x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)

From the diagram in the question, each side of a pentagon has length 3units.

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, x, and the perimeter, y, as follows

For x=\text{number of sides}=1

y=\text{perimeter}=3\times 5=15units

For x=2

y=3\times5+3\times5-1\\=15+15-1\\=29units

For x=3

y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units

The relationship will be

x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)

Learn more about perimeter here: brainly.com/question/17756657

7 0
3 years ago
Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year and the other rose 9% in one year. If his inv
mote1985 [20]

Answer:

$7200 in the fund rose 6% n $2800 in the fund rose 9%

Step-by-step explanation:

let x be the amount in the fund rose 6%

gain in one year=x*6%=0.06x

total amount is 10000

so amount in the fund rose 9% = 10000-x

gain in one year=(10000-x)*9%=900-0.09x

total gain=0.06x+900-0.09x=900-0.03x

=684

900-684=0.03x

0.03x=216

x=7200

the other fund amount=10000-7200=2800


5 0
3 years ago
Read 2 more answers
If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?
maria [59]

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

7 0
3 years ago
Read 2 more answers
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