What is the solution of the equation 52x = −18?(1 point)

Question

Responses

−120
negative Start Fraction 1 over 20 End Fraction

−20
negative 20

−516
negative Start Fraction 5 over 16 End Fraction

120

Answer 1

To solve the equation \( 52x = -18 \), we need to isolate \( x \).

1. Divide both sides of the equation by 52: \[ x = \frac{-18}{52} \]

2. Simplify the fraction: \[ x = \frac{-9}{26} \]

Now, let's convert \(-\frac{9}{26}\) to a decimal for better understanding if necessary: \[ -\frac{9}{26} \approx -0.346 \]

However, since this option seems not to be listed among your responses, let's return to the responses given:

• −120
• negative Start Fraction 1 over 20 End Fraction
• −20
• negative 20
• −516
• negative Start Fraction 5 over 16 End Fraction
• 120

None of these directly corresponds to the value we calculated. Therefore, it seems there might have been an oversight in understanding options. Since the closest readable option might be confusing, it appears that none is correct based on our calculation.

Correct answer based on our calculations: \[ x = -\frac{9}{26} \]

If we need to look for a similar form, we could compare with \( -\frac{5}{16} \). However, neither matches our derived solution. Please check the problem statement for clarification or a possible error.

Answer 2

What is the solution of the equation 85x = −10?(1 point)
Responses

−254
negative Start Fraction 25 over 4 End Fraction

−16
negative 16

−116
negative Start Fraction 1 over 16 End Fraction

−58

Answer 3

To solve the equation \( 85x = -10 \), follow these steps:

1. Divide both sides by 85 to isolate \( x \): \[ x = \frac{-10}{85} \]

2. Simplify the fraction: \[ x = \frac{-2}{17} \]

Now, let's determine if this matches one of the options provided:

Responses:

• −254
• negative Start Fraction 25 over 4 End Fraction
• −16
• negative 16
• −116
• negative Start Fraction 1 over 16 End Fraction
• −58

None of these options correspond to \( x = -\frac{2}{17} \), as it does not match any of the simplified forms.

Thus, checking for any approximation, \( -\frac{2}{17} \) is approximately \( -0.117 \), which does not align with the values listed.

Please review the options or context for any discrepancies. Based on the calculations, the real answer is: \[ x = -\frac{2}{17} \]

Let me know if there is any other question or specific follow-up needed!

Answer 4

Choose the closest one

Answer 5

Given the solutions provided, the closest option to our calculated value of \( x = -\frac{2}{17} \) (which is approximately \( -0.1176 \)) would be:

• negative Start Fraction 1 over 16 End Fraction (which is approximately \( -0.0625 \))

However, while \( -\frac{2}{17} \) is still closer to \( -0.1176 \), none of the options fits perfectly. The other negative options provided, including \( -16 \), \( -58 \), and \( -116 \), are much less close.

Thus, if forced to choose the closest available answer, negative Start Fraction 1 over 16 End Fraction would be the best option. Thank you for your understanding!