E = expresso
m = muffins
2e + 3m = 10.....multiply by -2
4e + 2m = 12
----------------
-4e - 6m = -20 (result of multiplying by -2)
4e + 2m = 12
------------------add
-4m = -8
m = -8/-4
m = 2....so muffins cost $ 2 a piece <===
4e + 2m = 12
4e + 2(2) = 12
4e + 4 = 12
4e = 12 - 4
4e = 8
e = 8/4
e = 2......so expresso's cost $ 2 a piece <===
y = 3x - 5 meets the x-axis at the x-intercept, and that happens when y = 0

3y + 2x = 2, meets the y-axis when x = 0, and that'd be the y-intercept

so let's find the equation of the line with points M and N in standard form, bearing in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient


The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.
Step-by-step explanation:
Given,
Cost per box of raspberry = $15
Cost per box of lemon seeds = $9
Total boxes sold = 46
Total revenue generated = $396
Let,
r represent the number of raspberries sold
l represent the number of lemon seeds sold
According to given statement;
r+l = 46 Eqn 1
15r + 9l = 396 Eqn 2
The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.
Answer:
-1
This line is in slope intercept form (y=mx+b) where m represents the slope and b represents the y-intercept
Step-by-step explanation:
Answer:
Equation:
21 = 1 + m
Solution:
20 = m
Step-by-step explanation:
What we know:
- Karim drank 1 cup of milk at breakfast
- Karim drank a total of 21 cups of milk
- m = the amount of milk, in cups, Karim drank after breakfast
We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:
21 =
What does 21 equal?
The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.
21 = milk at breakfast + milk after breakfast
Let's substitute what we know into this equation:
21 = milk at breakfast + milk after breakfast
21 = 1 + m
Now that we have our equation, let's solve.
21 = 1 + m
-1 -1
20 = m
Therefore, Karim drank 20 cups of milk after breakfast.