Answer:
Hotdog: $3.00
Hamburger: $4.00
Step-by-step explanation:
For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:
x = cost of a hotdog
y = cost of a hamburger
He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:
2x + y = 10
For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:
x + 3y = 15
To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.
Using the second equation, we can solve for x by simply subtracting 3y from both sides:
x = 15 - 3y
We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:
2(15-3y) + y = 10
Distribute out the 2 into the paratheses, combine like terms, and then solve for y:
30 - 6y + y = 10
30 - 5y = 10
-5y = -20
y = 4
This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:
x = 15 - 3y
x = 15 - 3(4)
x = 15 - 12
x = 3
So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.
Answer:
x=-17/5
Step-by-step explanation:
1. Simplify -6x-3x+4+4x−6x−3x+4+4x to -5x+4−5x+4.
21=−5x+4
2. Subtract 44 from both sides.
21−4=−5x
3. Simplify 21-4 to 17.
17=-5x
4. Divided both sides by -5.
-17/5=x
5. Switch sides.
x=-17/5
Hope this helps.
Practice proportionality. A 50 difference between 100 and 150 is less relevant than 50 in 25 and 75. Its like you have 1 billion dollars and i give you 10 dollars. Its worthless right? What if you have 20 dollars and i give you again 10 dollars, its half of what you have. See the difference? Same number but different value.
The correct answer is a= -2
The value of m to 2
But I’m not completely sure