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DaniilM [7]
3 years ago
15

Katie has 8 feet of ribbon.She cuts off 3 feet.She then divides the ribbon into eight more pieces.

Mathematics
2 answers:
IRINA_888 [86]3 years ago
6 0
8-3=5 5 divided by eight is 0.625 getting you to the answer 0.625 feet
vovikov84 [41]3 years ago
3 0
Ok so you start out with
8-3=5
5÷8=.625
= 0.63
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Find the solution of this system of equations<br><br> -3x-7y=-66<br><br> -10x-7y=-24
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A) Let's solve for x. -3x-7y=-66

Step 1: Add 7y to both sides.

-3x - 7y + 7y = -66 + 7y \\-3x = 7y - 66

Step 2: Divide both sides by -3.

\frac{-3x }{-3} = \frac{7y - 66}{-3}

x = \frac{-7}{3}y + 22

Answer : \frac{-7}{3}y + 22

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B) Let's solve for x. -10x-7y=-24

Step 1: Add 7y to both sides.

-10x - 7y + 7y = -24 + 7y \\-10x = 7y - 24

Step 2: Divide both sides by -10.

\frac{-10x}{-10} = \frac{7y - 24}{-10}

x = \frac{-7}{10}y + \frac{12}{5}

Answer : \frac{-7}{10}y + \frac{12}{5}

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Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

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3 years ago
What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box.
Wittaler [7]

9514 1404 393

Answer:

  14.4

Step-by-step explanation:

The Pythagorean theorem tells you ...

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3 years ago
noah goes to the store with $40 .he spend 38.60 on 13 bags of popcorn. how much one bag of popcorn cost ?
Minchanka [31]
Each bag of popcorn will be at least 2.97
2.97x13=38.61
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4 years ago
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