Let's solve the equation step by step:
3(x - 7) - x = 2x - 21
First, distribute 3 to the terms inside the parentheses:
3x - 21 - x = 2x - 21
Next, combine like terms on each side of the equation:
2x - 21 = 2x - 21
We can see that the variable term 2x is the same on both sides of the equation. Therefore, the equation is an identity and has infinitely many solutions. So the correct answer is "infinitely many solutions".
Solve the equation.
3(x – 7) – x = 2x – 21
(1 point)
Responses
7
7
–2
–2
infinitely many solutions
infinitely many solutions
no solution
19 answers
Solve the equation.
4 + 2y = 9 + 2y
(1 point)
Responses
4
4
–4
–4
no solution
no solution
infinitely many solutions
4 + 2y = 9 + 2y
(1 point)
Responses
4
4
–4
–4
no solution
no solution
infinitely many solutions
To solve the equation 4 + 2y = 9 + 2y, let's simplify it step by step:
First, notice that both sides of the equation contain the term 2y. We can subtract 2y from both sides to eliminate it:
4 + 2y - 2y = 9 + 2y - 2y
This simplifies to:
4 = 9
However, 4 is not equal to 9. Therefore, there is no solution to the equation.
The correct answer is "no solution".
First, notice that both sides of the equation contain the term 2y. We can subtract 2y from both sides to eliminate it:
4 + 2y - 2y = 9 + 2y - 2y
This simplifies to:
4 = 9
However, 4 is not equal to 9. Therefore, there is no solution to the equation.
The correct answer is "no solution".
Ella and Margaret were at a carnival. They each got a ticket for the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket was $5, and a snow cone was $3.50. What was the cost for cotton candy?
(1 point)
Responses
$5.00
$5.00
$5.25
$5.25
$2.50
$2.50
$7.25
(1 point)
Responses
$5.00
$5.00
$5.25
$5.25
$2.50
$2.50
$7.25
Let's solve the problem step by step:
Let x represent the cost of the cotton candy.
The cost of the Ferris wheel ticket for Ella is $5 and she got a snow cone for $3.50. With the $6 certificate, Ella paid a total of $12.75. This can be represented by the equation:
5 + 3.50 - 6 = 12.75
Now, simplify the equation:
8.50 - 6 = 12.75
2.50 = 12.75
This equation is not true, so there must be an error in the problem statement.
The correct answer cannot be determined based on the given information.
Let x represent the cost of the cotton candy.
The cost of the Ferris wheel ticket for Ella is $5 and she got a snow cone for $3.50. With the $6 certificate, Ella paid a total of $12.75. This can be represented by the equation:
5 + 3.50 - 6 = 12.75
Now, simplify the equation:
8.50 - 6 = 12.75
2.50 = 12.75
This equation is not true, so there must be an error in the problem statement.
The correct answer cannot be determined based on the given information.
please for the love of god just pick one of the choices DAMN
I apologize for the confusion. From the given information, we can determine the cost of the cotton candy.
Ella paid a total of $12.75, which includes the cost of her Ferris wheel ticket and the snow cone. The Ferris wheel ticket cost $5, so the remaining amount after deducting the ticket price is $12.75 - $5 = $7.75.
We know that the cost of the snow cone is $3.50. Therefore, the cost of the cotton candy can be found by subtracting the cost of the snow cone from the remaining amount:
$7.75 - $3.50 = $4.25
Therefore, the cost of the cotton candy is $4.25.
The correct answer is $4.25.
Ella paid a total of $12.75, which includes the cost of her Ferris wheel ticket and the snow cone. The Ferris wheel ticket cost $5, so the remaining amount after deducting the ticket price is $12.75 - $5 = $7.75.
We know that the cost of the snow cone is $3.50. Therefore, the cost of the cotton candy can be found by subtracting the cost of the snow cone from the remaining amount:
$7.75 - $3.50 = $4.25
Therefore, the cost of the cotton candy is $4.25.
The correct answer is $4.25.
THATS NOT EVEN A CHOICE
I apologize for the mistake. Based on the available choices, the correct answer would be:
$7.25
I apologize for any confusion caused.
$7.25
I apologize for any confusion caused.
Solve the equation.
6(z – 2) + 4 = 10
(1 point)
Responses
z = 2
z = 2
z = 3
z = 3
z = –3
z = –3
z = –4
6(z – 2) + 4 = 10
(1 point)
Responses
z = 2
z = 2
z = 3
z = 3
z = –3
z = –3
z = –4
To solve the equation 6(z - 2) + 4 = 10, let's simplify it step by step:
First, distribute the 6 to the terms inside the parentheses:
6z - 12 + 4 = 10
Next, combine like terms on the left side of the equation:
6z - 8 = 10
To isolate the variable term, let's add 8 to both sides of the equation:
6z - 8 + 8 = 10 + 8
Simplifying further:
6z = 18
Finally, to solve for z, divide both sides of the equation by 6:
(6z)/6 = 18/6
Simplifying further:
z = 3
Therefore, the solution to the equation is z = 3.
The correct response is z = 3.
First, distribute the 6 to the terms inside the parentheses:
6z - 12 + 4 = 10
Next, combine like terms on the left side of the equation:
6z - 8 = 10
To isolate the variable term, let's add 8 to both sides of the equation:
6z - 8 + 8 = 10 + 8
Simplifying further:
6z = 18
Finally, to solve for z, divide both sides of the equation by 6:
(6z)/6 = 18/6
Simplifying further:
z = 3
Therefore, the solution to the equation is z = 3.
The correct response is z = 3.
Solve the equation.
70 = –7(–2 – 2z)
(1 point)
Responses
z = 4
z = 4
z = –28
z = –28
z = –112
z = –112
z = 784
70 = –7(–2 – 2z)
(1 point)
Responses
z = 4
z = 4
z = –28
z = –28
z = –112
z = –112
z = 784
To solve the equation 70 = -7(-2 - 2z), let's simplify it step by step:
First, simplify the expression inside the parentheses:
-2 - 2z = -2z - 2
Next, distribute -7 to the terms inside the parentheses:
-7(-2z - 2) = 14z + 14
Rewriting the equation:
70 = 14z + 14
Subtracting 14 from both sides:
70 - 14 = 14z + 14 - 14
Simplifying further:
56 = 14z
Dividing both sides by 14 to solve for z:
(56)/14 = 14z/14
Simplifying further:
4 = z
Therefore, the solution to the equation is z = 4.
The correct response is z = 4.
First, simplify the expression inside the parentheses:
-2 - 2z = -2z - 2
Next, distribute -7 to the terms inside the parentheses:
-7(-2z - 2) = 14z + 14
Rewriting the equation:
70 = 14z + 14
Subtracting 14 from both sides:
70 - 14 = 14z + 14 - 14
Simplifying further:
56 = 14z
Dividing both sides by 14 to solve for z:
(56)/14 = 14z/14
Simplifying further:
4 = z
Therefore, the solution to the equation is z = 4.
The correct response is z = 4.
Solve the equation.
–4y + 8 = 4(2y – 2) – 2(–16 + 8y)
(1 point)
Responses
y = –4
y = –4
y = 4
y = 4
y = –2
y = –2
y = –6
y = –6
–4y + 8 = 4(2y – 2) – 2(–16 + 8y)
(1 point)
Responses
y = –4
y = –4
y = 4
y = 4
y = –2
y = –2
y = –6
y = –6
To solve the equation -4y + 8 = 4(2y - 2) - 2(-16 + 8y), let's simplify it step by step:
First, distribute the 4 to the terms inside the parentheses:
-4y + 8 = 8y - 8 - 2(-16 + 8y)
Next, distribute the -2 to the terms inside the parentheses:
-4y + 8 = 8y - 8 + 32 - 16y
Combine like terms:
-4y + 8 = -16y + 24
To isolate the variable term -4y, let's add 16y to both sides of the equation:
-4y + 16y + 8 = -16y + 16y + 24
Simplifying further:
12y + 8 = 24
Next, subtract 8 from both sides of the equation:
12y + 8 - 8 = 24 - 8
Simplifying further:
12y = 16
Finally, to solve for y, divide both sides of the equation by 12:
(12y)/12 = 16/12
Simplifying further:
y = 4/3
Therefore, the solution to the equation is y = 4/3.
The correct response is y = 4/3.
First, distribute the 4 to the terms inside the parentheses:
-4y + 8 = 8y - 8 - 2(-16 + 8y)
Next, distribute the -2 to the terms inside the parentheses:
-4y + 8 = 8y - 8 + 32 - 16y
Combine like terms:
-4y + 8 = -16y + 24
To isolate the variable term -4y, let's add 16y to both sides of the equation:
-4y + 16y + 8 = -16y + 16y + 24
Simplifying further:
12y + 8 = 24
Next, subtract 8 from both sides of the equation:
12y + 8 - 8 = 24 - 8
Simplifying further:
12y = 16
Finally, to solve for y, divide both sides of the equation by 12:
(12y)/12 = 16/12
Simplifying further:
y = 4/3
Therefore, the solution to the equation is y = 4/3.
The correct response is y = 4/3.
thats not a choice
Apologies for the mistake. Let's solve the equation correctly:
-4y + 8 = 4(2y - 2) - 2(-16 + 8y)
First, distribute the 4 and -2 terms:
-4y + 8 = 8y - 8 - 2(-16) + 2(8y)
Simplifying further:
-4y + 8 = 8y - 8 + 32 + 16y
Combine like terms:
-4y + 8 = 24y + 24
Next, let's isolate the variable term. Subtract 24y from both sides:
-4y - 24y + 8 = 24y + 24 - 24y
Simplifying further:
-28y + 8 = 24
Now, subtract 8 from both sides:
-28y + 8 - 8 = 24 - 8
Simplifying further:
-28y = 16
Finally, let's solve for y by dividing both sides by -28:
(-28y) / -28 = 16 / -28
Simplifying further:
y = -16/28 = -4/7
Therefore, the solution to the equation is y = -4/7.
The correct response is y = -4/7.
-4y + 8 = 4(2y - 2) - 2(-16 + 8y)
First, distribute the 4 and -2 terms:
-4y + 8 = 8y - 8 - 2(-16) + 2(8y)
Simplifying further:
-4y + 8 = 8y - 8 + 32 + 16y
Combine like terms:
-4y + 8 = 24y + 24
Next, let's isolate the variable term. Subtract 24y from both sides:
-4y - 24y + 8 = 24y + 24 - 24y
Simplifying further:
-28y + 8 = 24
Now, subtract 8 from both sides:
-28y + 8 - 8 = 24 - 8
Simplifying further:
-28y = 16
Finally, let's solve for y by dividing both sides by -28:
(-28y) / -28 = 16 / -28
Simplifying further:
y = -16/28 = -4/7
Therefore, the solution to the equation is y = -4/7.
The correct response is y = -4/7.
THAT AINT A CHOICE EITHER DAWG
Apologies for the confusion. Let's solve the equation correctly:
-4y + 8 = 4(2y - 2) - 2(-16 + 8y)
First, distribute the 4 and -2 terms:
-4y + 8 = 8y - 8 - 2(-16) + 2(8y)
Simplifying further:
-4y + 8 = 8y - 8 + 32 + 16y
Combine like terms:
-4y + 8 = 24y + 24
Next, let's isolate the variable term. Subtract 24 from both sides:
-4y - 24y + 8 = 24y + 24 - 24
Simplifying further:
-28y + 8 = 0
Now, subtract 8 from both sides:
-28y + 8 - 8 = 0 - 8
Simplifying further:
-28y = -8
Finally, let's solve for y by dividing both sides by -28:
(-28y) / -28 = (-8) / -28
Simplifying further:
y = 2/7
Therefore, the solution to the equation is y = 2/7.
The correct response is y = 2/7.
-4y + 8 = 4(2y - 2) - 2(-16 + 8y)
First, distribute the 4 and -2 terms:
-4y + 8 = 8y - 8 - 2(-16) + 2(8y)
Simplifying further:
-4y + 8 = 8y - 8 + 32 + 16y
Combine like terms:
-4y + 8 = 24y + 24
Next, let's isolate the variable term. Subtract 24 from both sides:
-4y - 24y + 8 = 24y + 24 - 24
Simplifying further:
-28y + 8 = 0
Now, subtract 8 from both sides:
-28y + 8 - 8 = 0 - 8
Simplifying further:
-28y = -8
Finally, let's solve for y by dividing both sides by -28:
(-28y) / -28 = (-8) / -28
Simplifying further:
y = 2/7
Therefore, the solution to the equation is y = 2/7.
The correct response is y = 2/7.
5 answers