You have written 0 = 4x.
The value of x that makes it true is x = 0, given that 4 times 0 is 0.
Nevertheless, I think you wanted to write 0 = 4 ^x (this is 4 raised to the power 4).
In that case, there is not any valued of x that satisfies the equation. This is, the equation is always false.
That is because, there is not any value of x for which 4^x is zero. The range of this function is al the positive values of x, which exclude zero.
<h2>
Hello!</h2>
The answer is:
It takes Ella 3 seconds to do a push-up and 3 seconds to do a sit up.
<h2>Why?</h2>
To find how many seconds Ella took to do a push-up and a sit-up we must write two equations using the given information.
Let be "x" the time needed to push-ups and "y" be the time needed to do sit-ups.
So, writing the equations we have:
First equation,
If she can do 13 push-ups and 7 sit-ups in 60 seconds, we have:

Second equation,
If she can do 13 push-ups and 19 sit-ups in 96 seconds, we have:

Now, creating a system of equations, and using the reduction method to solve it, we have:

Multiplying the first equation by -1, we have:


Then, substituting "y" into the first equation, we have:





Hence, we have that It takes Ella 3 seconds to do a push-up and 3 seconds to do a sit up.
Have a nice day!
Answer:
$16
Step-by-step explanation:
If you received 30% off then you paid 70% of the price. To find the original price, write a proportion.

To solve cross multiply.
70y = 1120
y= 16
375 g. You have to set up a proportion and cross multiply.
Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19