Carley has 8 1/2 yards of fabric. She uses 2 1/2 to make pillows and 3 yards to make curtains. How much fabric is remaining

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

3 0

3 yards of fabric will remain

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Find all real solutions of the equation by completing the square. (Enter your answers as a comma-separated list.) x2 − 4x − 8 =

Nat2105 [25]

Answer:

After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

Step-by-step explanation:

We need to complete the square:

x^2 − 4x − 8 = 0

x^2 -2(x)(2)+(2)^2 -8 -4 =0

(x^2 -4x +4) - 12 = 0

(x-2)^2 -12 =0

Now, finding the value of x

(x-2)^2 -12 =0

(x-2)^2 = 12

taking square root on both sides

$\sqrt{(x-2)^2}= \sqrt{12} \\(x-2) = \pm\sqrt{12} \\x = \pm\sqrt{12} +2\\x = \sqrt{12}+2 \,\,and\,\,x=-\sqrt{12}+2\\x= 3.46+2 \,\,and\,\,x=-3.46+2\\x =5.46\,\,and\,\,x=-1.46$

So, After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

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3 years ago

Brett works at a local pet store. When he works 4 hours he earns $36. When he works 9 hours he earns $81. What is the rate per h

Kitty [74]

The answer is 9 Dollars per hour because 36 divided by 9 is 4 and 9 times 9 is 81.

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3 years ago

X+3y=14 y=3x-14 Solving systems using substitution How do i do this?

Free_Kalibri [48]

X + 3y = 14
x + 3(3x - 14) = 14
x + 9x - 42 = 14
10x - 42 = 14
 + 42 + 42
 10x = 56
 10 10
 x = 5.6
5.6 + 3y = 14
- 5.6 - 5.6
 3y = 8.4
 3 3
 y = 2.7
 (x, y) = (2.7, 5.6)

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4 years ago

Read 2 more answers

What is the gcf of 96 and 40

Naddika [18.5K]

Answer:

Step-by-step explanation:

40 factors: 1 2 4 5 8 10 20

96 factors 1 2 3 4 6 8 12 16 24 32 48

5 0

3 years ago

Check picture to see question no guessing