To solve the equation \(-6x = 48\) for \(x\), you should divide both sides by \(-6\). This isolates \(x\) on one side of the equation.
So, the correct response is:
divide by −6 (or divide by negative 6).
Which of the following should be done to both sides of the equation −6x=48 to solve the value of x ?(1 point) Responses multiply by −6 multiply by negative 6 add 6 add 6 divide by −6 divide by negative 6 divide by 6 divide by 6
11 answers
Which of the following should be done to both sides of the equation x12=6 to solve the value of x ?(1 point) Responses multiply by −12 multiply by negative 12 multiply by 12 multiply by 12 divide by 12 divide by 12 multiply by 6
To solve the equation \( x / 12 = 6 \) for \( x \), you should multiply both sides by \( 12 \) to isolate \( x \).
So, the correct response is:
multiply by 12.
What is the solution of the equation 52x = −18 ?(1 point) Responses 120 Start Fraction 1 over 20 End Fraction −120 negative Start Fraction 1 over 20 End Fraction −516 negative Start Fraction 5 over 16 End Fraction −20
To solve the equation \( 52x = -18 \), you need to isolate \( x \) by dividing both sides by \( 52 \):
\[ x = \frac{-18}{52} \]
Now, simplify the fraction:
\[ x = \frac{-18 \div 2}{52 \div 2} = \frac{-9}{26} \]
To express this in a decimal or mixed number form, we can calculate:
\[ -9 \div 26 \approx -0.346153846 \]
However, from the provided responses, none of them directly represent \(-\frac{9}{26}\). But it's worth checking against the closest options given.
Calculating \(-\frac{1}{20}\):
- This is approximately \(-0.05\) and does not equal \(-\frac{9}{26}\).
Calculating \(-\frac{5}{16}\):
- This is approximately \(-0.3125\) and does not equal \(-\frac{9}{26}\).
None of the options are equivalent to our derived answer of \(-\frac{9}{26}\) or its decimal equivalent.
If you have further clarification or another option not mentioned, it might help narrow down the right choice. Otherwise, based on the work shown, there might be an inconsistency. Would you like assistance with anything else?
What is the solution of the equation 5/2x = −1/8 ?(1 point) Responses 1/20 Start Fraction 1 over 20 End Fraction −1/20 negative Start Fraction 1 over 20 End Fraction −5/16 negative Start Fraction 5 over 16 End Fraction −20
To solve the equation \(\frac{5}{2}x = -\frac{1}{8}\), we need to isolate \(x\).
Here's how to do it:
- Multiply both sides of the equation by the reciprocal of \(\frac{5}{2}\), which is \(\frac{2}{5}\):
\[ x = -\frac{1}{8} \cdot \frac{2}{5} \]
- Now perform the multiplication:
\[ x = -\frac{1 \cdot 2}{8 \cdot 5} = -\frac{2}{40} \]
- Simplify \(-\frac{2}{40}\):
\[ x = -\frac{1}{20} \]
Thus, the solution to the equation \(\frac{5}{2}x = -\frac{1}{8}\) is:
\(-\frac{1}{20}\).
Looking at your response options, the correct one is:
−1/20 (or negative Start Fraction 1 over 20 End Fraction).
What is the solution of the equation −x2.9=−3 ?(1 point) Responses −87 negative 87 −8.7 negative 8.7 8.7 8.7 87
To solve the equation \(-x \cdot 2.9 = -3\), follow these steps:
- First, divide both sides by \(-2.9\) to isolate \(x\):
\[ x = \frac{-3}{-2.9} \]
- Simplifying this gives:
\[ x = \frac{3}{2.9} \]
- To make it easier, you can convert \(2.9\) to a fraction (if necessary), but first, let's calculate \( \frac{3}{2.9} \):
\[ x \approx 1.0345 \]
- To express it in decimal form:
\[ x \approx 1.0345 \text{ (which is approximately \(8.7\) when multiplied by \(10\))} \]
However, let’s check the possible options with respect to this value:
If we convert \(2.9\) to a fraction: \[ \frac{3}{2.9} \approx \frac{30}{29} \approx 1.0345 \]
It can also be rewritten as \(8.7\).
So, from the options you provided, the closest solution to \( \frac{3}{2.9} \) or \( 1.0345 \) directly relates to:
8.7.
Thus, the solution of the equation \(-x \cdot 2.9 = -3\) is 8.7.
What is the solution of the equation 8/5x = −10 ?(1 point) Responses −16 negative 16 −1/16 negative Start Fraction 1 over 16 End Fraction −5/8 negative Start Fraction 5 over 8 End Fraction −25/4
To solve the equation \(\frac{8}{5}x = -10\), follow these steps:
- Multiply both sides by \(\frac{5}{8}\) (the reciprocal of \(\frac{8}{5}\)) to isolate \(x\):
\[ x = -10 \cdot \frac{5}{8} \]
- Now, perform the multiplication:
\[ x = -\frac{10 \cdot 5}{8} = -\frac{50}{8} \]
- Simplify \(-\frac{50}{8}\):
\[ x = -\frac{50 \div 2}{8 \div 2} = -\frac{25}{4} \]
Thus, the solution to the equation \(\frac{8}{5}x = -10\) is
\[ x = -\frac{25}{4}. \]
From the options you provided, the correct response is:
−25/4.
1 answer