To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
Answer:
Total Bill = 4006 dollars
Step-by-step explanation:
A cell phone company charges a flat fee of 20 dollars plus 3 cents a call.
If there was a total of 200 calls for the month, the total charge by the cell phone company will be.
Let me convert all to cent first
100 cent = 1 dollar
20 dollar =20 *100
29 dollar = 2000 cent
Charge by the company for a call is 2003 cent
Let me put down the equation.
1 call = 2003 cent
200 calls =( 200 calls* 2003cent)/1 call
200 calls = 200 * 2003cent
200 calls = 400600 cent
Let's convert back to dollar
100 cent = 1 dollar
400600 cent = 400600/100
400600 cent = 4006 dollars
No the inequality symbol only changed when you divide a negative number from both sides.
Answer:
2.5 kilograms
Step-by-step explanation:
Since 2 kilograms would be 4.4 pounds, subtract 4.4 from 5.5.
Then, you'd get 1.1
So, since 1.1 is half of 2.2, you can assume that 1.1 is half of a kilogram.
Then, add half a kilogram with 2 kilograms to get 2.5 kilograms.
Hope this helps!
Answer:
Step-by-step explanation:
Given
<em>(You and 3 friends)</em>
per individual
Required
Determine the change
First, we need to determine the total amount spent on movie ticket.
The question does not state whether I pay for my friend's ticket.
So, we'll work on what is obvious.
i.e
Add this amount to the amount spent on popcorn
To get the Change, we have to deduct the total amount spent from the amount given by mom
Hence:
The change is $10.25
