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bezimeni [28]
3 years ago
7

140 is what percent less than 160

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

12.5%, I believe. I could be wrong.

Step-by-step explanation:

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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=10-%5Cfrac%7B3y-1%7D%7B2%7D%20%3D%5Cfrac%7B6y%2B3%7D%7B11%7D" id="TexFormula1" title="10-\frac
Ghella [55]

10-\frac{3x-1}{2} =\frac{6x+3}{11}

10 = \frac{6x+3}{11} + \frac{3x-1}{2}

10 = (\frac{6x+3}{11} \times  \frac{2}{2} ) + (\frac{3x-1}{2} \times  \frac{11}{11} )

10 = ( \frac{2(6x + 3)}{22} ) + ( \frac{11(3x - 1)}{22} )

10 =  \frac{12x + 6}{22}  +  \frac{33x - 11}{22}

10 =  \frac{12x + 6 + 33x  - 11}{22}

10 =  \frac{(12 x + 33x) + (6 - 11)}{22}

10 =  \frac{45x - 5}{22}

10 \times 22 = 45x - 5

220 = 45x - 5

220 + 5 = 45x

225 = 45x

\frac{225}{45}  = x

\frac{45}{9}  = x

5 = x

7 0
2 years ago
Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,
Soloha48 [4]

try using the steps in my question i have one just like you

Step-by-step explanation:

4 0
3 years ago
Terrence walks 1/3mile in 1/12 hour. What is his walking speed in Miles per hour?
ohaa [14]

1/3 x 3 is one mile which is then 3/12 hours or 1/4 hours. Now multiply by 4 and you have

\frac{4 \: miles}{per \: hour}

4 0
3 years ago
What is 1 over 40 in decimals
Sindrei [870]

Answer:

0.025

Step-by-step explanation:

you can divide 1/40 and should get 0.025

7 0
3 years ago
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