Answer:
16 attires
Step-by-step explanation:
Let us represent the number of attires:
Sally has initially = x
Sally lends half her collection of formal attire to her sister Annie
This means, Sally has currently = 1/2x attires
Sally then buys four more attires. If she had 12 attires now.
Hence, this is expressed Mathematically as:
1/2x + 4 = 12
1/2x = 12 - 4
1/2x = 8
x/2 = 8
Cross Multiply
x = 8 × 2
x = 16
Therefore, the amount of attires Sally had initially = 16 attires
Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday)
This side of the equation would be -
X + (X +3) + (2X + 1)
That's monday plus tuesday plus wednesday.
Then you would set up the other side of the equation.
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined.
2 + (5x)
Two hours more than five times the amount of Monday (X)
Now we put this together to have an equation
X + (X + 3) + (2x+ 1) = 2 + 5x
Now we need to collect like terms
4x + 4 = 2 + 5x
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side
4 = 2 + x
Now I subtract 2 to get the numbers both on one side
2 = x
So, Colby worked 2 hours on Monday.
Answer:
Step-by-step explanation:
Put x as y-6 in the second equation.
Factor.
It has to be a positive integer.
Substitute y as 11.
Answer:
30 units²
Step-by-step explanation:
Area of a parallelogram = Base * Height
Substitute in known values
Area = 6 * 5
Area = 30 units²
Hope this helps :)
If you are looking to simplify these equations, here is how you would go about doing so.
7w(-8+3w)
Use a property called the Distributive Property, which means multiplying the number outside of the bracket by each number inside of the brackets.
Here is how this would look:
7w(-8+3w)
-56w+21w²
Now,
6q(-4+8q)
-24q+48q²
Hope this helps.
