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)
The correct answer is (0, -3)
Explain it to me if you think it's so correct
Apologies for the incorrect response.
To determine which of the given options is a solution to the equation y = 3x - 1, we need to substitute the x and y values into the equation and check if it holds true.
Let's check each option:
Option 1: (4, 1)
Substituting x = 4 and y = 1 into the equation, we get:
1 = 3(4) - 1
1 = 12 - 1
1 = 11 (False)
Option 2: (2, 5)
Substituting x = 2 and y = 5 into the equation, we get:
5 = 3(2) - 1
5 = 6 - 1
5 = 5 (True)
Option 3: (4, 3)
Substituting x = 4 and y = 3 into the equation, we get:
3 = 3(4) - 1
3 = 12 - 1
3 = 11 (False)
Option 4: (0, -3)
Substituting x = 0 and y = -3 into the equation, we get:
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1 (False)
Therefore, the only 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
To determine which equation represents the pattern in the table, we need to analyze the relationship between Sal's (s) and Carrie's (c) ages.
Let's examine the ages of Sal and Carrie and observe the pattern:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
From the table, we can observe that Sal's age is always greater than Carrie's age. Additionally, Sal's age increases by a certain amount every time Carrie's age increases by 2.
The equation that represents this pattern is s = c + 2.
Comparing the given options:
Option 1: s = c + 4
Option 2: s = 4c
Option 3: c = s + 4
Option 4: c = 4s
Among the options, the equation s = c + 4 does not match the pattern observed in the table. The equation that best represents the pattern is s = c + 2.
That is totally incorrect because carrie is older than sally!
Apologies for the mistake. You are correct - Carrie is indeed older than Sal in the given table.
Let's reanalyze the ages of Sal and Carrie:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
From the table, we can observe that Carrie's age is always greater than Sal's age. Additionally, if we subtract 2 from Carrie's age, we get Sal's age.
Therefore, the equation that represents the pattern in the table is:
c = s - 2.
Apologies for any confusion caused. Thank you for pointing out the error.
No! If you subtract 2 from 7, you do not get 3! The difference is 4. FOUR!
Apologies once again for the mistake. You are correct - subtracting 2 from Carrie's age of 7 does not give us Sal's age of 3.
Let's reanalyze the table:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
From the table, we can observe that Sal's age is obtained by adding 4 to Carrie's age. The equation that represents the pattern in the table is:
s = c + 4.
I apologize for the confusion caused by my previous incorrect responses. Thank you for pointing out the errors.
Sals age would not be equal to carries age plus four, because that would make sal 11 when carrie was 7. Try again!
Apologies for the confusion caused. Let's analyze the table again:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
From the table, we can observe that Sal's age is obtained by adding 2 to Carrie's age. The equation that represents the pattern in the table is:
s = c + 2.
I apologize for the incorrect responses provided earlier. Thank you for bringing the error to my attention.
YOU ARE STILL INCORRECT YOU BOT! The answer is c= s+4!!!!!!!!!
Apologies for the repeated errors. You are correct - the equation that represents the pattern in the table is c = s + 4.
From the ages in the table, we can observe that Carrie's age is always 4 more than Sal's age. Therefore, the correct equation that represents the pattern is c = s + 4.
Thank you for your patience, and I apologize for any confusion caused.
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
–4 x – 2 = 9
The correct equation that matches the statement "The sum of -4x and 2 is 9" is -4x + 2 = 9.
Solve. x – 6 = –18
(1 point)
Responses
x = –24
x = –24
x = –12
x = –12
x = 12
x = 12
x = 6
To solve the equation x - 6 = -18, we can solve for x by isolating it on one side of the equation.
By adding 6 to both sides of the equation, we get:
x - 6 + 6 = -18 + 6
x = -12.
Therefore, the solution to the equation is x = -12.
Solve. 4x + 3 = 47
(1 point)
Responses
x = 11
x = 11
x = 40
x = 40
x = 44
x = 44
x = 50
x = 50
To solve the equation 4x + 3 = 47, we can solve for x by isolating it on one side of the equation.
By subtracting 3 from both sides of the equation, we get:
4x + 3 - 3 = 47 - 3
4x = 44.
Next, we divide both sides of the equation by 4:
4x/4 = 44/4
x = 11.
Therefore, the solution to the equation is x = 11.
Solve. one-thirdx = 12
(1 point)
Responses
x = 4
x = 4
x = 15
x = 15
x = 36
x = 36
x = 39
To solve the equation (1/3)x = 12, we can isolate x by multiplying both sides of the equation by the reciprocal of 1/3, which is 3/1.
(1/3)x * (3/1) = 12 * (3/1)
The 3 cancels out on the left side, leaving:
x = 36/1
Simplifying the right side gives us:
x = 36
Therefore, the solution to the equation is x = 36.
Solve. 3x + 3 = 21
(1 point)
Responses
x = 5
x = 5
x = 6
x = 6
x = 18
x = 18
x = 36
To solve the equation 3x + 3 = 21, we can isolate x by subtracting 3 from both sides of the equation:
3x + 3 - 3 = 21 - 3
Simplifying, we have:
3x = 18
Next, we divide both sides of the equation by 3:
(3x)/3 = 18/3
Simplifying further, we get:
x = 6
Therefore, the solution to the equation is x = 6.
Solve. Start Fraction 3 over 2 End Fractionx – 4 = 16
(1 point)
Responses
x = 20
x = 20
x = 13 start fraction 1 over 3 end fraction
x = 13 Image with alt text: start fraction 1 over 3 end fraction
x = 15 start fraction 1 over 3 end fraction
x = 15 Image with alt text: start fraction 1 over 3 end fraction
30
30
To solve the equation (3/2)x - 4 = 16, we can isolate x by adding 4 to both sides of the equation:
(3/2)x - 4 + 4 = 16 + 4
Simplifying, we have:
(3/2)x = 20
Next, we can isolate x by multiplying both sides of the equation by the reciprocal of 3/2, which is 2/3:
(2/3)(3/2)x = (2/3)(20)
Simplifying, we get:
x = 40/3
Therefore, the solution to the equation is x = 40/3, which can also be written as x = 13 1/3.
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
To find the cost of downloading 35 songs, we can substitute s = 35 into the equation 9.95 + 0.30s = c:
9.95 + 0.30(35) = c
Simplifying:
9.95 + 10.50 = c
20.45 = c
Therefore, the cost of downloading 35 songs is c = $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
4 shirts
Let's set up an equation to solve this problem.
Let's represent the number of t-shirts as x.
The cost of each t-shirt, after using the coupon, would be $11 - $6 = $5.
We want to find the maximum number of t-shirts (x) we can buy when spending $27.
The equation representing the situation is:
5x = 27
To find the value of x, we can divide both sides of the equation by 5:
x = 27 / 5
Using long division:
x = 5 remainder 2
Therefore, we can buy 5 t-shirts with $2 remaining.
So, the solution to the problem is that you can buy 5 t-shirts using your coupon and money.
No thats incorrect, because the coupon can only be used once, which means 6 dollars off the ENTIRE amount of t shirts bought.
Apologies for the misunderstanding. Let's set up an equation considering the coupon is used only once.
Let x represent the number of t-shirts.
The cost of each t-shirt is $11.
After using the $6 coupon, the cost of each t-shirt would be ($11 - $6) = $5.
We want to find the maximum number of t-shirts (x) we can buy given a total expense of $27.
The equation representing the situation is:
5x + 6 = 27
To solve for x, we can subtract 6 from both sides of the equation:
5x = 27 - 6
5x = 21
Next, we divide both sides of the equation by 5:
x = 21/5
Using long division:
x = 4 remainder 1
Therefore, you can buy 4 t-shirts using the $6 coupon and money, with $1 remaining.
The remaining $1 may not be sufficient to purchase another t-shirt, so the answer is that you can buy 4 t-shirts.