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devlian [24]
3 years ago
6

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, nine sai

d 10 p.m. What percent of the students is this?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0
9 out of Reagan's 15 classmates go to bed at 10 p.m.

As a fraction, this would be 9/15.

To convert a fraction to a decimal, you just divide the numerator by the denominator.

Thus, 9 ÷ 15 = 0.6

To turn a decimal into a percentage, you multiply the decimal by 100, and then add a percentage sign.

0.6 * 100 = 60%

Therefore, 60% of Reagan's classmates go to bed at 10 p.m.

Hope this helps!
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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
2 years ago
Simplify b^2/3a^-4 what's the answer
Andru [333]
Combine like terms. Is there a picture for this?
6 0
3 years ago
Read 2 more answers
Help please and thank you
Akimi4 [234]
-6×-6=36
f-34=36
34+36=70
f=70
7 0
3 years ago
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally. What is
Ivahew [28]
Change in profit = x - (5,400/8)
3 0
3 years ago
Which point, (5/2, 3) or (3/2, 20), is on the graph of 2x - 2/3y =3?<br><br> show steps pls!
Anna11 [10]
You should try both points
put  x=5/2 and y=3
5-2=3
the first one is on the graph
put  x=3/2 and y=20
3-40/3≠3
the second one is not on the graph


4 0
3 years ago
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