All categories

3 years ago

What is a equivalent fraction for 24/30

1 answer:

6 0

There's an infinite number of equivalent fractions for 24/30 - all you need to do is to divide or multiple both numerator and denominator by the same number. For example:

24/30 = 48/60 (because 24 * 2 = 48 and 30 * 2 = 60)
24/30 = 12/15 (because 24 ÷ 2 = 12 and 30 ÷ 2 = 15)
24/30 = 72/90 (because 24 * 3 = 72 and 30 * 3 = 90)
24/30 = 4/5 (because 24 ÷ 6 = 4 and 30 ÷ 6 = 5)
etc...

You might be interested in

In how many ways can a committee of three men and three women be formed from a group of eight men and seven women

azamat

<h3>Answer: 1960 </h3>

==========================================================

Explanation:

Order doesn't matter when it comes to committees without rankings. Each person on the committee is of equal rank to anyone else. This means we'll use a combination instead of a permutation.

We have 8 men and 3 seats to fill for the men. Plug n = 8 and r = 3 into the nCr combination formula

n C r = (n!)/(r!(n-r)!)

8 C 3 = (8!)/(3!*(8-3)!)

8 C 3 = (8!)/(3!*5!)

8 C 3 = (8*7*6*5*4*3*2*1)/((3*2*1)*(5*4*3*2*1))

8 C 3 = (40320)/((6)*(120))

8 C 3 = (40320)/(720)

8 C 3 = 56

This means there are 56 ways to select the three men from a pool of eight.

Through similar steps, you should plug n = 7 and r = 3 into the nCr combination formula to get 7 C 3 = 35. This means there are 35 ways to pick the three women from a pool of seven.

Overall, there are 56*35 = 1960 ways to select the entire committee of 3 men and 3 women (from a pool of 8 men and 7 women).

8 0

3 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

5 0

2 years ago

Please help hghjhghjjgfhjjjfhgfhbfhgkfgh

Monica [59]

Answer:

Hello there! I would say the answer is C,

Step-by-step explanation:

I hope this helps!!!

3 0

3 years ago

Read 2 more answers

Which of the following lines are parallel to 2Y - 3X = 4?

dimulka [17.4K]

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

<em>answer choice B. Y = 6/4 X is correct.</em>

<em />

<em>Hope this helps :)</em>

4 0

3 years ago

Find the vertex of the parabola given by the following equation y=x2+10x+33

vovikov84 [41]

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\

\begin{array}{llccll}
y = &{{ 1}}x^2&{{ +10}}x&{{ +33}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

6 0

4 years ago