Answer:
Your answer is x = 1
Step-by-step explanation:
First start by distributing 5 to everything in the parenthesis.
5 * 2x = 10x
5 * -8 = -40
What you're left with is 10x - 40 + 15 = -15
Next subtract 15 from both sides.
10x - 40 + 15 - 15
The 15's will cancel each other out on the left side.
-15 - 15 = -30
What you're left with is 10x - 40 = -30
Next add 40 to both sides.
10x - 40 + 40
The 40's will cancel each other out on the left side
-30 + 40 = 10
What you're left with is 10x = 10
Divide both sides by 10 to get x by itself.
10x / 10 = x
10 / 10 = 1
What you're left with is x = 1
sinA+sinB+sinC
=2sin(A+B)/2cos(A-B)/2+sin C
=2sin(pi-C)/2cos(A-B)/2+2sin C/2cosC/2
=2cosC/2(cos(A-B)/2+cos(A+B)/2)
=4 cos A/2 cos B/2 cos C/2
= RHS
Answer:
22
Step-by-step explanation:
5/3=x-4/2
10=x-12
x=22
The numbers on a six sided die are 1, 2, 3, 4, 5, 6.
Odd numbers are numbers that cannot divide 2 completely. Thus, the odd numbers here are 1, 3 and 5
Probability is expressed as
Number of favourable outcomes/total number of possible outcomes
The total number of possible outcomes is 6
The number of favourable outcomes is 3
Thus, the probability of rolling an odd number is
3/6 = 1/2
Thus, if the die is rolled 242 times, then the number of times you would expect an odd number to appear is
1/2 * 242 = 121 times
You solve equations be isolating the variable you want to solve for. In this case x.
On the left-hand side of the equation, we have 15x - 5x. We can simplify it to 10x.
What we did is called combining like terms. To combine terms, they must have the same variable(s) and exponent. Even though no exponent was shown for either the 15x or 5x, it is implied they are 15x^1 - 5x^1
We don't show the exponent 1 because it doesn't change the value.
Now we have the equation 10x = -47
On the left-hand side, x is being multiplied by 10. We need to reverse the multiplication operation done to x to find the value of x.
What is the opposite of multiplication? Division!
So, just divide the left-hand side by 10.
But, wait! For everything we do on one side, we must also do on the left-hand side. This way, everything stays balanced.
10x / 10 = -47 / 10
x = -47/10
We can change the improper fraction -47/10 into a decimal.
Just divide the top by the bottom.
-47 / 10 = -4.7
So, x is equal to -4.7.
