The price of the fries would be $2.50, the price of the drink would be $2.50, and the price of the cheeseburger wold be $7.50.
We can write a set of equations to represent the prices, if 'f' is fries, 'd' is drink, and 'c' is cheeseburger:
c = 3f
f = d
Using these equations, we can then write out the sum of the items also, as it would be c + f + d = 12.50, but as we know that c = 3f and d = f, we can write it as 3f + f + f = 12.50, and then solve:
3f + f + f = 12.50
5f = 12.50
÷ 5
f = $2.50
Now that we know the price of the fries, we know that the price of the drink is the same, so the drink is also $2.50. Then, we can multiply 2.50 by 3 as we know that the cheeseburger is 3 times the cost of the fries, and 2.50 × 3 = 7.50.
I hope this helps!
The price of the cheeseburger was given in terms of the price of the fries, so let's start by choosing a variable to represent the price of the fries.
Let x = price of fries
Then price of cheeseburger = 3x
Price of drink = x
The cost of the three items is the sum of their prices: x + 3x + x = 5x
The cost is $12.50, so 5x must equal $12.50. That gives us our equation.
5x = 12.5
x = 2.5
The fries and the drink cost $2.50 each.
3x = 3(2.5) = 7.50
The cheeseburger cost $12.50.
Answer: Cheeseburger: $7.50 Fries: $2.50 Drink: $2.50
It's a factor. This concept is widely used throughout algebra, and you'll probably bump into it through the end of high school and beyond.
A common use is expressing a term in prime factorization, or reducing a number to its most base parts- primes. For example:
Of course, a number like 13 which is already prime is made up of itself and 1. Factors do not have to be primes. 20 is also reducible through combinations of 1, 2, 4, 5, 10, and 20. Prime factorization is just a handy example.
Basically, factors multiply with each other to create other numbers, and numbers can be reduced down to their factors.
-5
-4
-2
-1
Answer:
D -1
Step-by-step explanation:
3(x+1) = 2(x-1)
Use distributive property and get;
3x+3 = 2x-2
Add 2 to both sides,
3x+5 = 2x+4
Subtract 2x from both sides
1x+5 = 4
Subtract 5 from both sides
1x=-1
x = -1