Solve for x.

Question

−7x+40=−37..

(1 point)
Responses

x = 11
x = 11

x = −37
x = negative 3 sevenths

x = 21
x = 21

x = -539

Answer 1

To solve the equation \(-7x + 40 = -37\), follow these steps:

1. Subtract 40 from both sides: \[ -7x + 40 - 40 = -37 - 40 \] This simplifies to: \[ -7x = -77 \]

2. Divide both sides by -7: \[ x = \frac{-77}{-7} = 11 \]

Thus, the solution is: \[ x = 11 \]

So the correct response is \(x = 11\).

Answer 2

Solve for m.

m/8−4=−12

(1 point)
Responses

m = -64
m = -64

m = -1
m = -1

m = -128
m = -128

m = -2
m = -2

Answer 3

To solve the equation \(\frac{m}{8} - 4 = -12\), we can follow these steps:

1. Add 4 to both sides of the equation: \[ \frac{m}{8} - 4 + 4 = -12 + 4 \] This simplifies to: \[ \frac{m}{8} = -8 \]

2. Multiply both sides by 8 to isolate \(m\): \[ m = -8 \times 8 \] Thus: \[ m = -64 \]

Therefore, the solution is: \[ m = -64 \]

So the correct response is \(m = -64\).

Answer 4

Solve for x.

2/5(10x+15)=26

(1 point)
Responses

x = 5
x = 5

x = 12
x = 12

x = 7
x = 7

x = 3

Answer 5

To solve the equation \(\frac{2}{5}(10x + 15) = 26\), we can follow these steps:

1. Multiply both sides by \(\frac{5}{2}\) to eliminate the fraction: \[ 10x + 15 = 26 \times \frac{5}{2} \] Calculating the right side: \[ 26 \times \frac{5}{2} = 65 \] So now we have: \[ 10x + 15 = 65 \]

2. Subtract 15 from both sides: \[ 10x + 15 - 15 = 65 - 15 \] This simplifies to: \[ 10x = 50 \]

3. Divide both sides by 10: \[ x = \frac{50}{10} = 5 \]

Therefore, the solution is: \[ x = 5 \]

So the correct response is \(x = 5\).

Answer 6

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

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

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

45(t−5)=3

Answer 7

To determine which equation represents the situation, let's break down the information:

1. Let \( t \) be the price of an adult ticket.
2. Then, the price of a child ticket would be \( t - 5 \) (since child tickets are $5 less than adult tickets).
3. Denny bought 3 child tickets, so the total cost for the child tickets is \( 3(t - 5) \).
4. Denny spent a total of $45.

Putting this together, we can write the equation based on the total amount spent:

\[ 3(t - 5) = 45 \]

This equation can be used to find the price of an adult ticket, \( t \).

Therefore, the correct response is: \[ 3(t - 5) = 45 \]

Answer 8

Solve for x.

50(4x+12)=−200


(1 point)
Responses

x = 4
x = 4

x = -4
x = -4

x = 2
x = 2

x = -2
x = -2

Answer 9

To solve the equation \(50(4x + 12) = -200\), follow these steps:

1. First, divide both sides by 50 to simplify the equation: \[ 4x + 12 = \frac{-200}{50} \] This simplifies to: \[ 4x + 12 = -4 \]

2. Next, subtract 12 from both sides: \[ 4x + 12 - 12 = -4 - 12 \] This simplifies to: \[ 4x = -16 \]

3. Now, divide both sides by 4: \[ x = \frac{-16}{4} = -4 \]

Therefore, the solution is: \[ x = -4 \]

So the correct response is \(x = -4\).

Answer 10

Solve for x.

1.5−x=−4.5

(1 point)
Responses

x = -6
x = -6

x = 6
x = 6

x = -3
x = -3

x = 3

Answer 11

To solve the equation \(1.5 - x = -4.5\), follow these steps:

1. Start by isolating \(x\). Subtract \(1.5\) from both sides: \[ -x = -4.5 - 1.5 \] This simplifies to: \[ -x = -6 \]

2. Multiply both sides by \(-1\) to solve for \(x\): \[ x = 6 \]

Therefore, the solution is: \[ x = 6 \]

So the correct response is \(x = 6\).