Answer:
6p - 2
Step-by-step explanation:
The expression that needs to be made in this question refers to the total number of people that signed the petition. To calculate this we need to add the total number of signatures that both you and your friend were able to acquire. Once we do this we simply combine like terms in order to simplify the expression as much as possible.
4p + 5 + 2p - 3
4p + 2p + 5 - 3
6p - 2
Therefore, the total and simplified expression for the total number of signatures would be 6p - 2
Multiplying fractions is just multiplying the numerators together and the denominators together.


To find out which one is bigger, we need a common denominator. The LCM of 7 and 21 is 21, so convert the first fraction into a denominator of 21. 7 goes into 21 three times, multiply this to the numerator and denominator:

Now just compare the numerators to see which one is bigger.

therefore,
Answer:
12
Step-by-step explanation:
Absolute value means take the positive value of
3 |-4|
3 * 4
12
Given:
The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

To find:
The selling price if the company wants the weekly revenue to be $1,600.
Solution:
We know that the revenue is the product of quantity and price.



We need to find the value of p when the value of R is $1600.



Divide both sides by 100.

Splitting the middle term, we get



Using zero product property, we get
or 
or 
Therefore, the smaller value of p is $2 and the larger value of p is $8.