All categories

3 years ago

If 30 is increased by 60%, what is the new amount?

Mathematics

2 answers:

Lynna [10]3 years ago

8 0

48 is the new amount

Ne4ueva [31]3 years ago

7 0

48 is the new amount

You might be interested in

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

Five and twenty nine hundredths

maks197457 [2]

5.029 is five and twenty nine hundredths in decimal form.

7 0

3 years ago

-1.2<br> 29<br> 20<br> Enter the answer as an exact decimal or simplified fraction

Rudiy27

Answer:

ohh

Step-by-step explanation:

6 0

3 years ago

What is the slope of this line?

Mamont248 [21]

Answer:

y= 2x

Step-by-step explanation:

The slope is 2

The y-intercept is zero because it intersects the origin so you do not need to right that.

Now just put it is slope-intercept form.

Hope you remember me because I just answered your other question 2 minutes ago! LOL :D

Can you please name me the brainiest in both of those answers. Thanks!

4 0

3 years ago

The function y = x2 is transformed to y = (x + 4)2. Which statement is true about the transformed function? It is an even functi

xxMikexx [17]

Even function: f(-x) = f(x). If you replace x by -x you should find the same function.
Odd function: f(-x) = -f(x). If you replace x by -x you find the same function with opposite sign;
Is f(-x) = f(x)?
f(x) = (x+4)² = x² + 8x +16
f(-x) = (-x+4)² = x² - 8x + 16, then it's not an even function

Is f(-x) = -f(x)?
f(-x) = (-x+4)² = x² + 8x + 16 , then it's not an odd function
It is neither an even nor an odd function

7 0

4 years ago