Solve for x.

Question

−7x+40=−37 (1 point)

Answer 1

-7x + 40 = -37

To solve for x, we need to isolate x.

Subtract 40 from both sides of the equation:

-7x = -37 - 40

-7x = -77

Divide both sides of the equation by -7:

x = -77 / -7

x = 11

The solution is x = 11.

Answer 2

Solve for m.

m8−4=−12

Answer 3

m8 - 4 = -12

To solve for m, we need to isolate m.

Add 4 to both sides of the equation:

m8 = -12 + 4

m8 = -8

Divide both sides of the equation by 8:

m = -8 / 8

m = -1

The solution is m = -1.

Answer 4

m/8 - 4 = -12

Answer 5

To solve for m:

m/8 - 4 = -12

First, add 4 to both sides of the equation:

m/8 = -12 + 4

m/8 = -8

Next, multiply both sides of the equation by 8 to isolate m:

8 * (m/8) = 8 * (-8)

m = -64

Therefore, the solution is m = -64.

Answer 6

Solve for x.

2/5(10x+15)=26

Answer 7

To solve for x, we will first distribute the 2/5 across the parentheses:

(2/5)*(10x + 15) = 26

2/5 * 10x + 2/5 * 15 = 26

4x + 6 = 26

Next, we will subtract 6 from both sides of the equation:

4x + 6 - 6 = 26 - 6

4x = 20

Finally, we will divide both sides of the equation by 4 to solve for x:

4x/4 = 20/4

x = 5

So, the solution is x = 5.

Answer 8

Question
Denny bought tickets to the circus. He bought 3 child tickets. The child tickets were $5 less than the adult tickets. He spent $45 total. Which equation can be used to find the price of an adult ticket, t?(1 point)
Responses

3(t−5)=453 times open paren t minus 5 close paren is equal to 45

5(3t+3)=455 times open paren 3 t plus 3 close paren is equal to 45

3(2t−5)=453 times open paren 2 t minus 5 close paren is equal to 45

45(t−5)=3

Answer 9

Let t represent the price of an adult ticket.

We are given that Denny bought 3 child tickets, which were $5 less than the adult tickets. This means that the price of a child ticket is (t - 5).

Denny spent a total of $45, so we can set up the equation:

3(t - 5) = 45

Therefore, the equation that can be used to find the price of an adult ticket is:

3(t - 5) = 45

Answer 10

Solve for x.

50(4x+12)=−200

Answer 11

To solve for x:

50(4x + 12) = -200

First, divide both sides of the equation by 50 to remove the coefficient:

(4x + 12) = -200/50

Simplify the right side:

(4x + 12) = -4

Next, subtract 12 from both sides of the equation:

4x + 12 - 12 = -4 - 12

4x = -16

Finally, divide both sides of the equation by 4 to solve for x:

4x/4 = -16/4

x = -4

Therefore, the solution is x = -4.

Answer 12

Question
Solve for x.

1.5−x=−4.5

Answer 13

To solve for x:

1.5 - x = -4.5

First, subtract 1.5 from both sides of the equation:

1.5 - x - 1.5 = -4.5 - 1.5

Simplify:

-x = -6

Next, multiply both sides of the equation by -1 to isolate x:

(-1)(-x) = (-1)(-6)

Simplify:

x = 6

Therefore, the solution is x = 6.

Answer 14

Solve for y.

6y−9y+6=−12

Answer 15

To solve for y:

6y - 9y + 6 = -12

Combine like terms:

-3y + 6 = -12

Subtract 6 from both sides of the equation:

-3y + 6 - 6 = -12 - 6

Simplify:

-3y = -18

Divide both sides of the equation by -3 to solve for y:

-3y / -3 = -18 / -3

Simplify:

y = 6

Therefore, the solution is y = 6.

Answer 16

Solve for w.

15w+3w+19=−17

Answer 17

To solve for w:

15w + 3w + 19 = -17

Combine like terms:

18w + 19 = -17

Subtract 19 from both sides of the equation:

18w + 19 - 19 = -17 - 19

Simplify:

18w = -36

Divide both sides of the equation by 18 to solve for w:

18w / 18 = -36 / 18

Simplify:

w = -2

Therefore, the solution is w = -2.

Answer 18

Simplify the expression.

(6x−10)−(2x+12)

Answer 19

To simplify the expression:

(6x - 10) - (2x + 12)

First, distribute the negative sign to the terms inside the second parentheses:

6x - 10 - 2x - 12

Next, combine like terms:

(6x - 2x) + (-10 - 12)

4x - 22

Therefore, the simplified expression is 4x - 22.

Answer 20

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?

Answer 21

Let's suppose the price of each cupcake is represented by c.

Jenny bought 6 cookies at $1.50 each, so the total cost for the cookies is 6 * $1.50 = $9.

The total cost of the cupcakes can be calculated by subtracting the cost of the cookies from the total paid, which is $21 - $9 = $12.

Since she bought 6 cupcakes, we can divide the total cost of the cupcakes by the number of cupcakes to find the price of each cupcake:

$12 / 6 = $2.

Therefore, each cupcake costs $2.

Answer 22

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
-22

Answer 23

Let's translate the given sentence into an equation.

"Half the sum of a number and 26 is 15."

This can be represented as:

(1/2) * (number + 26) = 15

To solve for the number, we will isolate it by multiplying both sides of the equation by 2:

2 * (1/2) * (number + 26) = 2 * 15

This simplifies to:

number + 26 = 30

Next, we will subtract 26 from both sides of the equation:

number + 26 - 26 = 30 - 26

This simplifies to:

number = 4

Therefore, the number is 4.

Answer 24

Four times the difference of a number and 7 is 12. What is the number?

Answer 25

Let's translate the given sentence into an equation.

"Four times the difference of a number and 7 is 12."

This can be represented as:

4 * (number - 7) = 12

To solve for the number, we will isolate it by dividing both sides of the equation by 4:

4 * (number - 7) / 4 = 12 / 4

This simplifies to:

number - 7 = 3

Next, we will add 7 to both sides of the equation:

number - 7 + 7 = 3 + 7

This simplifies to:

number = 10

Therefore, the number is 10.

Answer 26

What is the first step in solving the equation

3=6y+9

Answer 27

To solve the equation 3 = 6y + 9, the first step is to isolate the variable y.

Begin by subtracting 9 from both sides of the equation:

3 - 9 = 6y + 9 - 9

This simplifies to:

-6 = 6y

The first step is to subtract 9 from both sides of the equation.

Answer 28

Simplify the expression.

2(3x+4)−3(2x−2)+8(x−5)

Answer 29

To simplify the expression:

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

First, distribute the coefficients across their respective terms:

2 * 3x + 2 * 4 - 3 * 2x + 3 * 2 + 8 * x - 8 * 5

Simplify each term:

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

Combine like terms:

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

Since the 6x and -6x terms cancel out, we have:

8x + 14 - 32

Simplify further:

8x - 18

Therefore, the simplified expression is 8x - 18.

Answer 30

2(3x+4)−3(2x−2)+8(x−5)

Answer 31

To simplify the expression:

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

First, distribute the coefficients across their respective terms:

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

Combine like terms:

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

Simplify each portion in parentheses:

8x + 14 - 32

Combine like terms:

8x - 18

Therefore, the simplified expression is 8x - 18.

Answer 32

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 33

To simplify the expression:

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

First, distribute the coefficients across their respective terms:

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

Combine like terms:

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

Simplify each portion in parentheses:

8x + 14 - 32

Combine like terms:

8x - 18

Therefore, the simplified expression is 8x - 18.

Answer 34

Write an equation and solve: Four times a number, decreased by 4 is 8.

Answer 35

To write the equation that represents the given statement, we can let the number be represented by x.

The equation would be:

4x - 4 = 8

To solve for x, we will isolate it by adding 4 to both sides of the equation:

4x - 4 + 4 = 8 + 4

4x = 12

Finally, divide both sides of the equation by 4:

4x / 4 = 12 / 4

x = 3

Therefore, the solution to the equation is x = 3.