Jake has a applies. First he gives 24 away to the students in his math class. Then he divides the rest of the apples equally among his 3 sisters. Write the expression that represents the number of apples that each of his sisters receives.
In an online media store, downloaded songs cost $3d each and books cost $9b each. Caleb purchased 15 songs and 3 books this month, and also paid $7 in sales tax. Write and simplify an expression to show how much Caleb spent on everything including tax.
thx ;)
(a-24)/3
(15 * 3 + 3 * 9) + 7
= 45 + 27 + 7
= 79
1. (a-24)/3
2. (3 x 15) + (3 x 9) + 7
= 3(15 + 9) + 7
= 3 x 24 + 7
= 84 + 7
= 91
Hope this helps!
Sorry, Anonymous is correct
3 * 24 is tricky
Yeah.
For the first question, let's break it down step by step:
1. Jake starts with a certain number of apples.
2. He gives away 24 apples to the students in his math class.
3. After that, he divides the remaining apples equally among his 3 sisters.
To represent the number of apples that each sister receives, we need to determine the remaining number of apples after he gives away 24 to the students.
Let's say Jake initially had "a" apples.
Step 1: Jake gives away 24 apples to students.
Remaining apples = a - 24
Step 2: Jake divides the remaining apples among his 3 sisters.
Each sister receives = (a - 24) / 3
Therefore, the expression that represents the number of apples that each sister receives is: (a - 24) / 3.
Now let's move on to the second question:
Caleb purchased 15 songs and 3 books this month. The cost of each downloaded song is $3d, and the cost of each book is $9b. Caleb also paid $7 in sales tax.
To calculate how much Caleb spent on everything, including tax, we need to multiply the cost of each item by the quantity he purchased and then add the sales tax.
Total spent on songs = 15 * $3d = $45d
Total spent on books = 3 * $9b = $27b
Sales tax = $7
To find the total amount Caleb spent on everything, including tax, we add the amounts of songs, books, and sales tax:
Total spent = Total spent on songs + Total spent on books + Sales tax
= $45d + $27b + $7
To simplify the expression, we combine like terms. Since d and b are just variables representing different items, we cannot combine them:
Total spent = $45d + $27b + $7
Therefore, the expression to show how much Caleb spent on everything, including tax, is $45d + $27b + $7.
I hope this helps! Let me know if you have any more questions.