Stacia wanted concert tickets that were selling for $36 each, and then she got a $19 discount. She paid a total of $53 for the tickets. How many tickets did she buy? Identify the operations needed to solve this problem using the equation 36x −19=53
.(1 point)
Responses
subtraction and division
subtraction and division
subtraction and multiplication
subtraction and multiplication
addition and multiplication
addition and multiplication
addition and division
5 answers
subtraction and division
Niel has a bucket of beads. He uses them to make 8 identical necklaces and then buys 25 beads at the store. He ends up with a total of 500 beads. How many did he start with? Identify the operations needed to solve this problem using the equation b8 + 25 = 500
.(1 point)
Responses
addition and division
addition and division
subtraction and multiplication
subtraction and multiplication
addition and multiplication
addition and multiplication
subtraction and division
subtraction and division
.(1 point)
Responses
addition and division
addition and division
subtraction and multiplication
subtraction and multiplication
addition and multiplication
addition and multiplication
subtraction and division
subtraction and division
To solve this problem using the equation b8 + 25 = 500, we need to use addition and multiplication.
First, let's break down the equation step by step:
1. b8 + 25 = 500: This equation represents the total number of beads Neil has, starting with an unknown amount, making 8 identical necklaces, and buying 25 beads at the store.
2. To isolate the variable b (representing the number of beads Neil started with), we need to get rid of the +25 on the left side of the equation. We can do this by subtracting 25 from both sides of the equation:
b8 + 25 - 25 = 500 - 25
Simplifying, we get:
b8 = 475
3. Now that we have b8 = 475, we need to divide both sides of the equation by 8 to solve for b:
(b8)/8 = 475/8
Simplifying, we get:
b = 59.375
Since it is not possible to have a fractional number of beads, we can conclude that Neil started with 59 beads to make 8 identical necklaces.
First, let's break down the equation step by step:
1. b8 + 25 = 500: This equation represents the total number of beads Neil has, starting with an unknown amount, making 8 identical necklaces, and buying 25 beads at the store.
2. To isolate the variable b (representing the number of beads Neil started with), we need to get rid of the +25 on the left side of the equation. We can do this by subtracting 25 from both sides of the equation:
b8 + 25 - 25 = 500 - 25
Simplifying, we get:
b8 = 475
3. Now that we have b8 = 475, we need to divide both sides of the equation by 8 to solve for b:
(b8)/8 = 475/8
Simplifying, we get:
b = 59.375
Since it is not possible to have a fractional number of beads, we can conclude that Neil started with 59 beads to make 8 identical necklaces.
A window cleaner has enough supplies to clean 21 windows per office building on a certain number of buildings. They can also clean the windows of a school with 42 windows. Altogether, there are enough supplies to clean 126 windows. How many office buildings can be washed? Identify the equation that would be used to solve this problem algebraically.(1 point)
Responses
42x+21=126
42 x plus 21 equals 126
21x+42=126
21 x plus 42 equals 126
21x−42=126
21 x minus 42 equals 126
42x−21=126
Responses
42x+21=126
42 x plus 21 equals 126
21x+42=126
21 x plus 42 equals 126
21x−42=126
21 x minus 42 equals 126
42x−21=126
The equation that would be used to solve this problem algebraically is 21x + 42 = 126.