Answer: x + 12 = 3x + -22
12 + x = 3x + -22
Reorder the terms:
12 + x = -22 + 3x
Solving
12 + x = -22 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + x + -3x = -22 + 3x + -3x
Combine like terms: x + -3x = -2x
12 + -2x = -22 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + -2x = -22 + 0
12 + -2x = -22
Add '-12' to each side of the equation.
12 + -12 + -2x = -22 + -12
Combine like terms: 12 + -12 = 0
0 + -2x = -22 + -12
-2x = -22 + -12
Combine like terms: -22 + -12 = -34
-2x = -34
Divide each side by '-2'.
x = 17
Simplifying
x = 17
Answer:
The total number of possibilities are 60.
Step-by-step explanation:
Given:
There are 6 digits and 3,7,9 are odd ones.
To Find:
How many possibilities are there for the rock's age
Solution:
Here condition is that number should start with odd digit
so there 3 number only as odd(3,7,9)
So it leaves 3 repeating numbers i.e.2
So permutation of 5 numbers with 3 odd numbers
So possible arrangement will be
nPr
n=5 ,r=3
So 5P3=5!/3!
And finally for all possibilities as
=3*(5!/3!)
=3*(20)
=60
Answer:
Amount of VAT paid by Jeremy is € 9.31 .
Step-by-step explanation:
As given
In Germany, VAT is at 19% .
Jeremy buys a calculator in Germany for €58.31
This price includes VAT.
Let us assume that the cost of calculator excluding tax is x .
19% is written in the decimal form .
= 0.19
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × x
= 0.19x
Than
Cost of calaculator + VAT price = Cost of calculator including VAT
x + 0.19 × x = 58.31
x + 0.19x = 58.31
1.19x = 58.31
x = €49 (Approx)
Thus cost price of calculator excluding VAT is €49 .
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × 49
= € 9.31
Therefore the amount of VAT paid by Jeremy is € 9.31 .
f(x) is read is function f of x.
Where x is the input variable and function f(x) gives output value of function for x input value.
For the given function, we have f(3).
If we compare f(3) by f(x), the x represented by input value 3.
Therefore, x value is 3 there.
And we also have f(x) =-5.
Because function value is -5. So we can read it as, "for x input value of the the function gives output value -5."
For the asked value of x is just x=3.
Answer:
8 7/24 hope this helps
Step-by-step explanation:
