Answer: The required factored form of the given expression is

Step-by-step explanation: We are given to find the factored form of the following algebraic expression:

We will be using the following formula:

Now, we have

Thus, the required factored form of the given expression is

Answer:
Step-by-step explanation:
A penny is worth 1 cent. = 0.01p
A nickel is worth 5 cents = 0.05n
Let the number of pennies = x
Number of nickels = y
A bag of coins contains pennies and nickels. There are 40 coins in all. The total value of the coins is $0.72. How many coins are pennies, and how many are nickels? Write 2 equations.
Answer:
Step-by-step explanation:
the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.
50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.
Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.
this is the formula that can help with any percentage math problem:
The percentage of something ÷ 100% = the number you are looking for ÷ the total
in our case:
40÷100 = x (because it is the unknown term)÷60
from here you cross multiple getting
2400÷100x
which equals
24
now we have to add Vicky's and Iverson's voter
24 + 30= 54
60-54=6
6 students did not participate
Answer:
18 weeks
Step-by-step explanation:
Total amount of money saved up to buy the printer is T(w), where w is the number of weeks.
Then T(w) = $100 + ($20/wk)w
Setting this equal to $460, we solve the resulting equation for w to determine the number of weeks it took Hugo to save up $460 total:
$460 = $100 + ($20/wk)w, or
$360 = ($20/wk)w, or
w = $360/($20/wk) = 18 weeks