To solve the equation \( 5.6(x + 1.42) = 7.8 \), the first step is to divide both sides by 5.6.
So, the correct response is:
Divide both sides by 5.6.
What is the first step in solving for x in the equation 5.6(x+1.42)=7.8 ?(1 point) Responses Subtract 1.42 from both sides. Subtract 1.42 from both sides. Multiply both sides by 5.6. Multiply both sides by 5.6. Only the left-hand side was divided by 5.6. Only the left-hand side was divided by 5.6. Divide both sides by 5.6.
9 answers
What is the second step in solving for n
𝑛
in the equation 5.6(n+1.42)=7.8
5.6
(
𝑛
+
1.42
)
=
7.8
?(1 point)
Responses
Divide both sides by 5.6.
Divide both sides by 5.6.
Subtract 5.6 from both sides.
Subtract 5.6 from both sides.
Add 1.42 to both sides.
Add 1.42 to both sides.
Subtract 1.42 from both sides.
Subtract 1.42 from both sides.
𝑛
in the equation 5.6(n+1.42)=7.8
5.6
(
𝑛
+
1.42
)
=
7.8
?(1 point)
Responses
Divide both sides by 5.6.
Divide both sides by 5.6.
Subtract 5.6 from both sides.
Subtract 5.6 from both sides.
Add 1.42 to both sides.
Add 1.42 to both sides.
Subtract 1.42 from both sides.
Subtract 1.42 from both sides.
After the first step of dividing both sides by 5.6 in the equation \( 5.6(n + 1.42) = 7.8 \), you will get:
\[ n + 1.42 = \frac{7.8}{5.6} \]
The next step would be to isolate \( n \). To do this, you need to subtract 1.42 from both sides.
So, the correct response for the second step is:
Subtract 1.42 from both sides.
What is the first step in solving for x
𝑥
in the equation 9.8(x−2.14)=53.9
9.8
(
𝑥
−
2.14
)
=
53.9
(1 point)
Responses
Divide only the left-hand side by 9.8.
Divide only the left-hand side by 9.8.
Add 2.14 to both sides.
Add 2.14 to both sides.
Multiply both sides by 9.8.
Multiply both sides by 9.8.
Divide both sides by 9.8.
𝑥
in the equation 9.8(x−2.14)=53.9
9.8
(
𝑥
−
2.14
)
=
53.9
(1 point)
Responses
Divide only the left-hand side by 9.8.
Divide only the left-hand side by 9.8.
Add 2.14 to both sides.
Add 2.14 to both sides.
Multiply both sides by 9.8.
Multiply both sides by 9.8.
Divide both sides by 9.8.
To solve the equation \( 9.8(x - 2.14) = 53.9 \), the first step is to divide both sides by 9.8.
So, the correct response is:
Divide both sides by 9.8.
Solve for x
𝑥
in the equation 102.5(x−11.92)=71.6
102.5
(
𝑥
−
11.92
)
=
71.6
. Round your answer to 3 decimal places.(1 point)
Responses
−11.221
−
11.221
negative 11.221
0.699
0.699
12.619
12.619
12.618
𝑥
in the equation 102.5(x−11.92)=71.6
102.5
(
𝑥
−
11.92
)
=
71.6
. Round your answer to 3 decimal places.(1 point)
Responses
−11.221
−
11.221
negative 11.221
0.699
0.699
12.619
12.619
12.618
To solve the equation \( 102.5(x - 11.92) = 71.6 \), follow these steps:
- Divide both sides by 102.5:
\[ x - 11.92 = \frac{71.6}{102.5} \]
Calculating the right-hand side:
\[ \frac{71.6}{102.5} \approx 0.698 \quad (\text{rounded to three decimal places}) \]
- Now simplify the equation:
\[ x - 11.92 \approx 0.698 \]
- Add 11.92 to both sides:
\[ x \approx 0.698 + 11.92 \]
Calculating that:
\[ x \approx 12.618 \]
Rounding this answer to three decimal places gives:
\[ x \approx 12.618 \]
So, the correct response is:
12.618.
Solve for n
𝑛
in the equation 50.3(n+9.25)=−120.72
50.3
(
𝑛
+
9.25
)
=
−
120.72
.(1 point)
Responses
−2.4
−
2.4
negative 2.4
−11.65
−
11.65
negative 11.65
6.85
6.85
−6.85
𝑛
in the equation 50.3(n+9.25)=−120.72
50.3
(
𝑛
+
9.25
)
=
−
120.72
.(1 point)
Responses
−2.4
−
2.4
negative 2.4
−11.65
−
11.65
negative 11.65
6.85
6.85
−6.85
To solve the equation \( 50.3(n + 9.25) = -120.72 \), follow these steps:
- Divide both sides by 50.3:
\[ n + 9.25 = \frac{-120.72}{50.3} \]
Calculating the right-hand side:
\[ \frac{-120.72}{50.3} \approx -2.396 \quad (\text{rounded to three decimal places is } -2.40) \]
- Now simplify the equation:
\[ n + 9.25 \approx -2.4 \]
- Subtract 9.25 from both sides:
\[ n \approx -2.4 - 9.25 \]
Calculating that:
\[ n \approx -11.65 \]
So, the final answer is:
−11.65.