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3 years ago

A class has 14 girls and 12 boys. What is the probability that a girl's name is drawn at random?

Mathematics

2 answers:

VMariaS [17]3 years ago

8 0

14 over 26 ......

I think

Otrada [13]3 years ago

6 0

14 over 26. Because if you want to find out the probability, you need to put the number of girls over the total of students.
Hope this helps!!!:)

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Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !

victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

$2x^2+18x=20$

$x^2+9x=\frac{20}{2}$

$x^2+9x-10=0$

$ax^2+bx+c=0$

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

$D=b^2-4ac=(9)^2-4(1)(-10)=121$

$x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1$

$x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)$

The solution of the given quadratic equation is 1 and (-10).

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3 years ago

a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons

Brilliant_brown [7]

Answer: 30 miles

Work Shown:

2 in : 6 mi

5*2 in : 5*6 mi

10 in : 30 mi

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2 years ago

The width of a rectangle is the length minus 2 units. the area of the rectangle is 35 units

Mariana [72]

Answer:

$Length=7units\\\\Width=5units$

Step-by-step explanation:

Width=(Length-2) units

W=(L-2) units

Area of the rectangle= 35 square units

Area = length* Width

$35= L*(L-2)\\\\35=L^2-2L$

Subtracting 35 both sides:

$L^2-2L-35=0$

Solving the quadratic equation for 'L' ;

Using factorization:

$L^2+5L-7L-35=0$

Taking common from the equation :

$L(L+5)-7(L+5)=0\\\\(L+5)(L-7)=0\\\\L+5=0\\\\L=-5$

$L-7=0\\\\L=7$

The length cannot be negative, therefore Length(L)= 7

$Width=Length-2\\\\=7-2\\\\=5 units$

$Length=7units\\\\Width=5units$

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3 years ago

How do you solve this URGENT (50pts)

Aliun [14]

Explanation:

x + 3y = 2

Converting it to slope intercept form:

y = mx + b [where m is slope, b is y-intercept]

Make y the subject:

$\sf \rightarrow 3y = 2 - x$

$\sf \rightarrow 3y = -x + 2$

$\sf \rightarrow y = -\dfrac{x}{3} + \dfrac{2}{3}$

$\sf \rightarrow y = -\dfrac{1}{3} x+ \dfrac{2}{3}$

which reveals slope:

$\star \ slope: \sf - \dfrac{1}{3}$

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2 years ago

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disa [49]

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