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uysha [10]
3 years ago
13

A girl asks her father how many ties he has and he answers with a riddle: "seven-eighths of my ties plus four."

Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0
What he's saying is that 7/8 of his ties + 4 ties = all of his ties.
7/8x + 4 = x
Thus, 4 is 1/8 of his ties.
4 = 1/8x
So you simply multiply 4 by 8 to get 32 ties.
32 = x
To check, plug 32 back into the original equation:
7/8(32) + 4 = (32)
28 + 4 = 32
It works!
Hope that helps.
Effectus [21]3 years ago
5 0
All of his ties 7/8 plus four duhhh!
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Answer:

The solution is \displaystyle x=1\pm \sqrt{47}. Fourth option

Explanation:

Solve for x:

2x^2+3x-7=x^2+5x+39

Move all the terms from the right to the left side of the equation, a zero in the right side:

2x^2+3x-7-x^2-5x-39=0

Join all like terms:

x^2-2x-46=0

The general form of the quadratic equation is:

ax^2+bx+c=0

Solve the quadratic equation by using the formula:

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}

\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}

\displaystyle x=\frac{2\pm \sqrt{188}}{2}

Since 188=4*47

\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}

Take the square root of 4:

\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}

Divide by 2:

\displaystyle x=1\pm \sqrt{47}

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

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Answer:

it would be 21

the only difference is that one is a negative and the other is a positive. The absolute value is the distance the number is from 0 on the number line.

hope i helped :)

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3 years ago
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Answer:

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Step-by-step explanation:

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Which is the solution to the inequality?
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Answer:

b>3.133333333

Step-by-step explanation:

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