Question

What is the first step in solving the equation 12(x + 7) = 0
12
(
𝑥

+

7
)

=

0
for x
𝑥
?(1 point)
Responses

Add 7 to both sides.
Add 7 to both sides.

Divide both sides by 12.
Divide both sides by 12.

Subtract 7 from both sides.
Subtract 7 from both sides.

Multiply both sides by 12.
answer

Answer 1

What is the solution to the equation 0.24(x−10.2)=6
0.24
(
𝑥
−
10.2
)
=
6
when solving for x
𝑥
?(1 point)
Responses

16.44
16.44

14.8
14.8

35.2
35.2

11.64

Answer 2

Solve for x
𝑥
in the equation 811(x+45)=2455
8
11
(
𝑥
+
4
5
)
=
24
55
.(1 point)

Answer 3

What is the solution to the equation 1.26(x−7.352)=6.426
1.26
(
𝑥
−
7.352
)
=
6.426
when solving for x
𝑥
?(1 point)
Responses

−2.252
−
2.252
negative 2.252

15.44876
15.44876

12.452
12.452

15.038

Answer 4

answers

Answer 5

all the ansers

Answer 6

To solve the equation \( 12(x + 7) = 0 \) for \( x \), the first step is to divide both sides by 12. This simplifies the equation and allows you to isolate the \( (x + 7) \) term.

So, the correct response is:

**Divide both sides by 12.**

Answer 7

To solve the equation \( 0.24(x - 10.2) = 6 \) for \( x \), follow these steps:

1. Divide both sides by \( 0.24 \):
\[
x - 10.2 = \frac{6}{0.24}
\]
\[
x - 10.2 = 25
\]

2. Now, add \( 10.2 \) to both sides:
\[
x = 25 + 10.2
\]
\[
x = 35.2
\]

So, the solution to the equation is \( x = 35.2 \).

The correct response is:

**35.2**

Answer 8

To solve the equation \( 811(x + 45) = 2455 \) for \( x \), follow these steps:

1. **Divide both sides by 811** to isolate the term \( (x + 45) \):
\[
x + 45 = \frac{2455}{811}
\]

2. **Simplify the right side**. Calculating \( \frac{2455}{811} \):
- Performing the division gives approximately \( 3.024 \) (or more accurately, \( 3 \) if rounded).
\[
x + 45 \approx 3.024
\]

3. **Subtract 45 from both sides** to solve for \( x \):
\[
x \approx 3.024 - 45
\]
\[
x \approx -41.976
\]

Thus, the solution for \( x \) is approximately \( -41.976 \).

If you need a more precise answer based on exact division, compute \( \frac{2455}{811} \) using a calculator to check if it gives a more manageable fraction or decimal.

The final approximate answer for \( x \) is **approximately \(-41.976\)**.

Answer 9

To solve the equation \( 1.26(x - 7.352) = 6.426 \) for \( x \), follow these steps:

1. **Divide both sides by 1.26** to isolate the expression \( (x - 7.352) \):
\[
x - 7.352 = \frac{6.426}{1.26}
\]

2. **Calculate the right side**:
\[
\frac{6.426}{1.26} = 5.1
\]
(You can use a calculator for this division.)

3. **Now, add 7.352 to both sides** to solve for \( x \):
\[
x = 5.1 + 7.352
\]
\[
x = 12.452
\]

So, the solution for \( x \) is \( 12.452 \).

The correct response is:

**12.452**

Answer 10

The solution to the equation \( 1.26(x - 7.352) = 6.426 \) is:

**12.452**

If you have any further questions or need assistance, feel free to ask!

Answer 11

Certainly! Here are the solutions to the equations you provided earlier:

1. For the equation \( 12(x + 7) = 0 \):
- The first step to solve for \( x \) is:
- **Divide both sides by 12.**

2. For the equation \( 0.24(x - 10.2) = 6 \):
- The solution is:
- **35.2**

3. For the equation \( 811(x + 45) = 2455 \):
- The solution is approximately:
- **−41.976** (or if you divide exactly, it can yield a more precise fraction or decimal).

4. For the equation \( 1.26(x - 7.352) = 6.426 \):
- The solution is:
- **12.452**

If you have any further questions or need assistance with more problems, feel free to ask!