Jenny bought 6 cookies and 6 cupcakes at the bakery. The cookies were $1.50 each, but she cannot remember how much each cupcake was. She paid $21 total. How much was each cupcake?(1 point)

Question

Responses

$1.50
$1.50

$12.00
$12.00

$2.00
$2.00

$2.50
$2.50

Answer 1

Let's call the price of each cupcake x.
The total cost of the cookies is 6 * $1.50 = $<<6*1.5=9>>9.
The total cost of the cupcakes is 6 * x.
She paid a total of $21, so the equation is 9 + 6x = 21.
Subtract 9 from both sides of the equation to get 6x = 12.
Divide both sides of the equation by 6 to get x = $<<12/6=2>>2.
Each cupcake costs $2. Answer: \boxed{2}.

Answer 2

Half the sum of a number and 26 is 15. What is the number?(1 point)
Responses

-11
-11

4
4

5.5
5.5

-22

Answer 3

Let's call the number x.
The equation can be written as (x + 26) / 2 = 15.
Multiply both sides of the equation by 2 to get x + 26 = 30.
Subtract 26 from both sides of the equation to get x = 4.
The number is 4. Answer: \boxed{4}.

Answer 4

Four times the difference of a number and 7 is 12. What is the number?(1 point)
Responses

10
10

-4
-4

16
16

20

Answer 5

Let's call the number x.
The equation can be written as 4(x - 7) = 12.
Distribute the 4 to get 4x - 28 = 12.
Add 28 to both sides of the equation to get 4x = 40.
Divide both sides of the equation by 4 to get x = 10.
The number is 10. Answer: \boxed{10}.

Answer 6

What is the first step in solving the equation

3=6y+9 (1 point)
Responses

Divide both sides by 3.
Divide both sides by 3.

Subtract 3 from both sides.
Subtract 3 from both sides.

Add 9 to both sides.
Add 9 to both sides.

Subtract 9 from both sides.

Answer 7

The first step in solving the equation 3 = 6y + 9 is to subtract 9 from both sides. Answer: \boxed{\text{Subtract 9 from both sides}}.

Answer 8

Simplify the expression.

2(3x+4)−3(2x−2)+8(x−5) (1 point)
Responses

20x−2620 x minus 26

8x−388 x minus 38

8x−268 x minus 26

20x+54

Answer 9

To simplify the expression 2(3x + 4) - 3(2x - 2) + 8(x - 5), we need to distribute the coefficients.

Starting with the first term, 2(3x + 4):

2 * 3x = 6x
2 * 4 = 8

So the first term simplifies to 6x + 8.

Moving on to the second term, -3(2x - 2):

-3 * 2x = -6x
-3 * -2 = 6

So the second term simplifies to -6x + 6.

And for the third term, 8(x - 5):

8 * x = 8x
8 * -5 = -40

So the third term simplifies to 8x - 40.

Putting it all together, the simplified expression is:

(6x + 8) - (6x - 6) + (8x - 40)

Combining like terms within each set of parentheses:

6x - 6x + 8 + 6 + 8x - 40

Combining like terms within the expression:

0 + 14x - 26

Simplifying further:

14x - 26

Thus, the simplified expression is 14x - 26. Answer: \boxed{14x - 26}.

Answer 10

Simplify the expression.

2(3x+4)−3(2x−2)+8(x−5)(1 point)
Responses

20x−2620 x minus 26

8x−388 x minus 38

8x−268 x minus 26

20x+54
pick one

Answer 11

Apologies for the confusion in my previous response. Let's simplify the expression correctly.

2(3x + 4) - 3(2x - 2) + 8(x - 5)

First, distribute the coefficients:

2 * 3x = 6x
2 * 4 = 8

-3 * 2x = -6x
-3 * -2 = 6

8 * x = 8x
8 * -5 = -40

Now simplify the terms:

6x + 8 - 6x + 6 + 8x - 40

Combine like terms:

(6x - 6x + 8x) + (8 + 6 - 40)

Simplify further:

8x + 14 - 40

Combine like terms:

8x - 26

Therefore, the simplified expression is 8x - 26. Answer: \boxed{8x - 26}.

Answer 12

Write an equation and solve: Four times a number, decreased by 4 is 8.(1 point)
Responses

3
3

1
1

48
48

16

Answer 13

Let's call the number x.
The equation can be written as 4x - 4 = 8.
To solve the equation, add 4 to both sides:
4x - 4 + 4 = 8 + 4,
which simplifies to 4x = 12.
Then, divide both sides by 4 to solve for x:
4x / 4 = 12 / 4,
which simplifies to x = 3.
Therefore, the solution for the equation is x = 3. Answer: \boxed{3}.