Answer:
5y + 3x + 9
Step-by-step explanation:
Whenever something is multiplied by the same variable, you can combine the coefficients. In this case, first you'd move the values with the same variable next to each other, for simplicity:
7y-2y+3x+3+6
Then, combine like terms.
5y+3x+3+6
5y+3x+9
Answer:
Step-by-step explanation:
2 loaves × (5½ teaspoons)/loaf = 11 teaspoons
He needs 11 teaspoons of cinnamon to make two loaves.
1/11 of 11 teaspoons = 1 teaspoon
He puts 1 teaspoon of cinnamon into his tea.
Answer:
Monthly interest rate is r=0,004375
Monthly principal c=590,625
Step-by-step explanation:
Monthly interest payment rate :

Now, we need to find monthly principal payment : 
Use this rule : 
P=108000
r=0,004375

Answer: The only graph that shows a proportional relationship is the line that crosses the origin point (0,0).
Explanation
The other graphs are linear functions but not not proportional relationships.
The general form of a proportional relationship is y = kx, where k is the proportionality constant. So, for x = 0 you will always obtain y = 0.
The general form of a linear relationshio is y = kx + b, being b the y-intercept, so if the y-intercept is not 0, it is not a proportional relationship. That is what happens with the other three graphs.
Answer:
Mid point is: (2.8;4.9)
Step-by-step explanation:
To find midpoint of a line segment we can use the general equation:

Where the point of the line are: (x₁;y₁) and (x₂;y₂).
In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:

<h3>Mid point is: (2.8;4.9)</h3>