1. 5(5 + w) = 25 + 5w
2. 1.5(3 - 8c) = 4.5 - 12c
You simply use the distributive property to distribute the number outside of the parentheses to each term within the parentheses.
Answer:
height of second rectangular prism is 5 meters
Step-by-step explanation:
Answer: Hello there!
If D is the price of one drink and P the price of one bag of popcorn, we know that:
9*D + 2*P = $86.50
3*D + 9*P = $89.25
Now we can isolate one of the therms in the first equation and replace it in the second one:
Lets isolate D in the first equation
9*D + 2*P = $86.50
9*D = $86.50 - 2*P
D = ( $86.50 - 2*P)/9
now we can replace in in the second equation and obtain the value of P
3*D + 9*P = $89.25
3*( $86.50 - 2*P)/9 + 9*P = $89.25
( $86.50 - 2*P)/3 + 9*P = $89.25
$28.83 - (2/3)P + 9P = $89.25
(9 - 2/3)P = $89.25 - $28.83 = $60.42
(25/3)P = $60.42
P = $60.42*(3/25)= $7.25
So each bag of popcorn cost $7.25.
Now we can replace it in the first equation and find the price for the drinks:
9*D + 2*P = $86.50
9*D + 2*$7.25 = $86.50
9*D + $14.50 = $86.50
9*D = $86.50 - $14.50 = $72
D = $72/9 = $8
So each drink cost $8.
And now we know the price for one bag of popcorn and for one drink,
Okay. You get a 4% commission on your first $2,000 in sales, which is $80 in commission. After that, you have $1,920 left, which is 1,920 over 2,000. So you get 8% of the commission off of that amount. 1,920 * 8% (0.08) = 153.6. 80 + 153.6 = 233.6. Jean’s commission for the week is $233.60.
