Question

Multiple Choice Which of the following is a solution to the equation y = 3x – 1? (1 point) Responses (4, 1) (4, 1) (2, 5) (2, 5) (4, 3) (4, 3) (0, –3)
GPT 3.5
None of the listed options is a solution to the equation y = 3x - 1.
Multiple Choice Which of the following is a solution to the equation y = 3x – 1? (1 point) Responses (4, 1) (4, 1) (2, 5) (2, 5) (4, 3) (4, 3) (0, –3)
GPT 3.5
The solution to the equation y = 3x - 1 is (2, 5).
Which equation represents the pattern in the table below? Sal’s and Carrie’s Ages Sal 3 5 8 13 15 Carrie 7 9 12 17 19 (1 point) Responses s = c + 4 s = c + 4 s = 4c s = 4 c c = s + 4 c = s + 4 c = 4s
GPT 3.5
To find the equation that represents the pattern in the table, let's look at the relationship between Sal's age (s) and Carrie's age (c):

When Sal is 3, Carrie is 7. The difference between their ages is 4.
When Sal is 5, Carrie is 9. The difference between their ages is 4.
When Sal is 8, Carrie is 12. The difference between their ages is 4.
When Sal is 13, Carrie is 17. The difference between their ages is 4.
When Sal is 15, Carrie is 19. The difference between their ages is 4.

Based on these values, we can conclude that the equation that represents the pattern is:

c = s + 4.
Which equation matches the statement: “The sum of –4x and 2 is 9”? (1 point) Responses –4x + 2 = 9 –4 x + 2 = 9 –4x + 9 = 2 –4 x + 9 = 2 –4x(2) = 9 –4 x (2) = 9 –4x – 2 = 9
GPT 3.5
The equation that matches the statement "The sum of -4x and 2 is 9" is -4x + 2 = 9.
olve. x – 6 = –18 (1 point) Responses x = –24 x = –24 x = –12 x = –12 x = 12 x = 12 x = 6
GPT 3.5
To solve the equation x - 6 = -18, we can isolate x by adding 6 to both sides of the equation:

x - 6 + 6 = -18 + 6
x = -12

Therefore, the solution is x = -12.
Solve. 4x + 3 = 47 (1 point) Responses x = 11 x = 11 x = 40 x = 40 x = 44 x = 44 x = 50
GPT 3.5
To solve the equation 4x + 3 = 47, we can isolate x by subtracting 3 from both sides of the equation:

4x + 3 - 3 = 47 - 3
4x = 44
x = 44/4
x = 11

Therefore, the solution is x = 11.
Solve. x = 12 (1 point) Responses x = 4 x = 4 x = 15 x = 15 x = 36 x = 36 x = 39 x = 39
GPT 3.5
To solve the equation x = 12, we already have the solution given in the equation. Therefore, x = 12 is the solution.
Solve. 1/3x = 12 (1 point) Responses x = 4 x = 4 x = 15 x = 15 x = 36 x = 36 x = 39 x = 39
GPT 3.5
To solve the equation 1/3x = 12, we can multiply both sides of the equation by 3 to eliminate the fraction:

(1/3)x * 3 = 12 * 3
x = 36

Therefore, the solution is x = 36.
Solve. 3x + 3 = 21 (1 point) Responses x = 5 x = 5 x = 6 x = 6 x = 18 x = 18 x = 36 x = 36
GPT 3.5
To solve the equation 3x + 3 = 21, we can subtract 3 from both sides of the equation:

3x + 3 - 3 = 21 - 3
3x = 18

Next, we divide both sides of the equation by 3 to isolate x:

(3x)/3 = 18/3
x = 6

Thus, the solution to the equation is x = 6.
Solve. 2/3x – 4 = 16 (1 point) Responses x = 20 x = 20 x = 13 x = 13 Image with alt text: start fraction 1 over 3 end fraction x = 15 x = 15 Image with alt text: start fraction 1 over 3 end fraction 30
GPT 3.5
To solve the equation (2/3)x - 4 = 16, we start by adding 4 to both sides of the equation:

(2/3)x - 4 + 4 = 16 + 4
(2/3)x = 20

Next, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(3/2)(2/3)x = (3/2)(20)
x = 30

Therefore, the solution to the equation is x = 30.
Use the given equation to find the solution to the following problem. The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs. (1 point) Responses c = $9.95 c = $9.95 c = $20.45 c = $20.45 c = $35.00 c = $35.00 c = $114.45
GPT 3.5
To find the cost of downloading 35 songs, we can substitute s = 35 into the equation 9.95 + 0.30s = c:

c = 9.95 + 0.30(35)
c = 9.95 + 10.5
c = 20.45

Therefore, the cost of downloading 35 songs is $20.45.
Write an equation and solve to find the solution to the following problem. You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your coupon and money? (1 point) Responses 1 shirt 1 shirt 2 shirts 2 shirts 3 shirts 3 shirts 4 shirts
GPT 3.5
Let's represent the number of t-shirts you can buy as the variable "x".

The equation for this problem can be written as:
11x - 6 = 27

Now, let's solve this equation to find the value of x:
11x = 27 + 6
11x = 33
x = 33/11
x = 3

Therefore, you can buy 3 t-shirts using your coupon and money.