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1 year ago

There are 10 men and 14 women in.Kthleen's math class.what is the ratio of women to the total number of students in the class?

Mathematics

1 answer:

ahrayia [7]1 year ago

3 0

The ratio can be determined as,

$\begin{gathered} \text{Ratio}=\frac{14}{10+14} \\ =\frac{14}{24} \\ =\frac{7}{12} \end{gathered}$

Thus, the requried ratio is 7:12.

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What is 4.62 expressed as the quotient of two integers in simplest form?

ozzi

4.62 = 462/100 = 231/50

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3 years ago

What is the midpoint of QR. Q(2,4) and R(-3,9)

Eduardwww [97]

Answer:

The answer is

$( - \frac{1}{2} \: , \: \frac{13}{2}) \\$

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q(2,4) and R(-3,9)

The midpoint is

$M = ( \frac{2 - 3}{2} \: , \: \frac{9 + 4}{2} ) \\$

We have the final answer as

$( - \frac{1}{2} \: , \: \frac{13}{2}) \\$

Hope this helps you

6 0

3 years ago

What is equal to 6 3/5

sergij07 [2.7K]

What would be equal would be 6.60, because 100/5 is 20. So 3 times 20 is 60. Plus the six so 6+0.6 is 6.60.

4 0

3 years ago

Read 2 more answers

Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

8 0

4 years ago

98 points possible

Pavel [41]

Answer:

Step-by-step explanation:

symmetry with respect to y-axis for y=f(x) means f(-x)=f(x)

in this case, y = f(x) = x / (x^2+4)

f(-x) = -x / ((-x)^2+4) = -x / (x^2+4) = -f(x)

so it is not symmetric to y-axis

symmetry with respect to x-axis for x=g(y) means g(-y)=g(y)

in this case, y = x / (x^2+4)

y*(x^2+4) = x

y*x^2 + 4y - x = 0

substitute -y into g(y)

(-y)*x^2 +4(-y) - x = 0

-y*x^2 - 4y - x = 0

y*x^2 + 4y + x = 0

so g(-y) is not equal to g(y)

so it is not symmetric to x-axis

8 0

3 years ago

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