Answer: x=6
Step-by-step explanation:
To solve for x, we want to isolate the variable.
[get common denominator]
[add fractions]
[combine like terms]
[multiply both sides by 8]
[subtract both sides by 14]
[divide both sides by 15]
Now, we know that x=6.
Distance traveled during the first 4 hours: 500 m Note that the rate here was 125 m/hr.
Distance traveled during the next four hours: 3(125 m/hr)(4 hr) = 375 m
Total distance traveled: 500 m + 375 m = 875 m
Answer:
power of quotient
Step-by-step explanation:
We have been given an expression and we are asked to choose the correct rule to simplify our given expression.
Since our given expression is a fraction raised to 3rd power. Power of a quotient rule states when a quotient is raised to an exponent, then the exponent is distributed to both numerator and denominator of the quotient.
Using power of a quotient rule, we will get, (\frac{p}{q} )^3=\frac{p^3}{q^3}
Answer:
Step-by-step explanation:
Let's look at a few examples where we know the number of movies. Let's say just 1 movie is rented. Well, then there's the subscription charge of 4 dollars and then 2.25 for the one movie. Two movies would be 4+2.25+2.25. 3 would be 4+2.25+2.25+2.25. So the number of 2.25s increases with each movie. You could brute force it and just keep adding 2.25 until you get 31, but there's a better way.
Multiple additions like this is of course multiplication. so one movie is 1*2.25, two is 2*2.25 and so onwe want to know how many were bought, so let's call that number something we don't know, x. Also, you want to take into account the 4 dollar subscription fee. This leaves us with an equation that looks like this.
4+2.25x = 31
Now, to solve for x we can do a few things to this. I'm assuming you are new to this so I will take it slow. Let's say it was a simpler problem. 5+x=10. Or five plus something equals 10. You might be able to figure it out super easily and just know that 5+5 is 10. A way to solve it with our problem though is to take the euations 5+x=10 and manipulate it on each side of the equation. Here, 5 is being added to x, but what if we subtract 5? well, 5+x-5=x. Since we did that to one side of the equation though we have to do the ame to the other side. so 10-5. Or in other words we subtracte 5 from both sides.
5+x=10
-5 -5
x = 5
So that's ne part of how we are going to find x in 4+2.25x = 31
4+2.25x = 31
-4 -4
2.25x = 27
Now, in the last part 5 was being added so we subtracted. Here, 2.25 is being multiplied so we divide. If we divide both sides by 2.25 we get x = 12, so that's the answer.
