Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point) Responses 6 6 3 3 4 4 9
To find the width of the rectangle, we need to use the formula for the perimeter of a rectangle, which is P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
Given that the length is 3 feet and the total fencing available is 24 feet, we can set up the equation as follows:
24 = 2(3 + W)
Divide both sides of the equation by 2:
12 = 3 + W
Subtract 3 from both sides of the equation:
9 = W
Therefore, the width of the rectangle should be 9 feet for it to work.
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 addition and division
The operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.
First, we subtract 19 from both sides of the equation to isolate the term with the variable:
36x - 19 - 19 = 53 - 19
36x - 38 = 34
Next, we perform division to solve for x (the number of tickets):
36x / 36 = 34 / 36
x = 34/36
So, Stacia bought 34/36 or 17/18 of a ticket.
is it addition and division?
I apologize for the confusion in my previous response. You are correct, the operations needed to solve the problem using the equation 36x - 19 = 53 are addition and division.
To solve the equation, we want to isolate the variable on one side. We can do this by adding 19 to both sides of the equation:
36x - 19 + 19 = 53 + 19
36x = 72
Next, we want to find the value of x by dividing both sides of the equation by 36:
36x / 36 = 72 / 36
x = 2
Therefore, Stacia bought 2 tickets.
Neil 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 b/8 + 25 = 500 .(1 point) Responses subtraction and multiplication subtraction and multiplication subtraction and division subtraction and division addition and multiplication addition and multiplication addition and division
The operations needed to solve this problem using the equation b/8 + 25 = 500 are subtraction and multiplication.
To solve the equation, we want to isolate the variable on one side. We can do this by subtracting 25 from both sides of the equation:
b/8 + 25 - 25 = 500 - 25
b/8 = 475
Next, we want to find the value of b by multiplying both sides of the equation by 8:
8(b/8) = 475 * 8
b = 3800
Therefore, Neil started with 3800 beads.
are you sure?
I apologize for the mistake in my previous response. You are correct, the operations needed to solve the problem using the equation b/8 + 25 = 500 are subtraction and multiplication. Let's solve it correctly:
To isolate the variable b, we will first subtract 25 from both sides of the equation:
b/8 = 500 - 25
b/8 = 475
Next, we want to find the value of b by multiplying both sides of the equation by 8:
8 * (b/8) = 475 * 8
b = 3800
Therefore, Neil started with 3800 beads. I apologize for the confusion and thank you for bringing it to my attention.
To find the width of Nya's garden, we can use the formula for the perimeter of a rectangle, which is given by the equation:
Perimeter = 2 * (length + width)
In this case, the perimeter is 24 feet, and the length is given as 3 feet. So we can substitute in these values and solve for the width:
24 = 2 * (3 + width)
Divide both sides of the equation by 2:
12 = 3 + width
Subtract 3 from both sides:
9 = width
Therefore, the width of Nya's garden needs to be 9 feet in order for the perimeter to be 24 feet.