The equation 5/3x+11/3=-4/3 is solved as follows. Fill in the correct numbers to complete the solution

Answer 1

Let's solve the equation step by step and fill in the missing numbers.

The original equation is:

\[ \frac{5}{3}x + \frac{11}{3} = -\frac{4}{3} \]

Step 1: Subtract \(\frac{11}{3}\) from both sides.

\[ \frac{5}{3}x = -\frac{4}{3} - \frac{11}{3} \]

Step 2: Combine the fractions on the right-hand side.

\[ -\frac{4}{3} - \frac{11}{3} = -\frac{4 + 11}{3} = -\frac{15}{3} \]

So now we have:

\[ \frac{5}{3}x = -\frac{15}{3} \]

Step 3: Simplify the right-hand side.

\[ -\frac{15}{3} = -5 \]

Now the equation looks like this:

\[ \frac{5}{3}x = -5 \]

Step 4: Multiply both sides by the reciprocal of \(\frac{5}{3}\), which is \(\frac{3}{5}\).

\[ x = -5 \cdot \frac{3}{5} \]

Step 5: Simplify the right side.

\[ x = -3 \]

Therefore, the correct numbers to fill in the solution are:

1. In the expression \(-\frac{4}{3} - \frac{11}{3}\), you combine \(-4\) and \(-11\) to get \(-15\).
2. In the expression \(-\frac{15}{3}\), simplifying gives you \(-5\).
3. Finally, when you multiply by the reciprocal, you multiply \(-5\) by \(\frac{3}{5}\) to arrive at \(-3\).

So the final answer is:

\[ x = -3 \]

Answer 2

The equation 0.24-0.74=-1.1 is solved as follows. Fill in the correct numbers to complete the solution

Answer 3

Let's solve the equation step by step and determine the correct numbers to fill into the solution.

The original equation is:

\[ 0.24 - 0.74 = -1.1 \]

Step 1: Calculate the left-hand side.

We begin by calculating \(0.24 - 0.74\):

\[ 0.24 - 0.74 = -0.50 \]

So we rewrite the equation as follows:

\[ -0.50 = -1.1 \]

This is not true, which indicates there is an error in the original equation.

The initial calculation shows that \(0.24 - 0.74\) gives \(-0.50\) instead of \(-1.1\).

Thus, there appears to be a mistake in the numbers given or in the expectation of the equation being true.

However, if we just want the steps filled in an explanatory format assuming someone had made the subtraction correctly, here’s how that could look:

1. Calculation of \(0.24 - 0.74\):

   • The correct result is \(-0.50\).

2. Formulating the equation:

   • You can input that as to check:
     • The left-hand side equals \(-0.50\).

So the conclusion and filling in of numbers is:

\[ 0.24 - 0.74 = -0.50 \]

Thus, if we denote the terms correctly, they cannot equal \(-1.1\) because we directly see \(-0.50\).

If you have specific numbers you need to fill in related to a broader context or should be considering a different target, please provide that additional information!

Answer 4

0.24= Add to both sides

Answer 5

Let's work through solving the equation step by step with instructions on what to add to both sides.

Given:

\[ 0.24 - 0.74 = -1.1 \]

As we know from our previous work, \(0.24 - 0.74\) equals \( -0.50\), so we can set up the scenario for adding something to both sides to isolate \(0.24\):

1. If we want to isolate \(0.24\) from the left-hand side, we need to simplify first.

If we start from the left-hand side of the equation:

\[ 0.24 - 0.74 = -1.1 \]

We can add \(0.74\) to both sides to isolate \(0.24\):

\[ 0.24 - 0.74 + 0.74 = -1.1 + 0.74 \]

This simplifies to:

\[ 0.24 = -1.1 + 0.74 \]

2. Now, compute the right-hand side:

\[ -1.1 + 0.74 = -0.36 \]

So the complete equation now is:

\[ 0.24 = -0.36 \]

To summarize, the correct instruction for the operation you needed was:

• Add \(0.74\) to both sides of the equation.

Thus, the equation becomes:

\[ 0.24 = -1.1 + 0.74 \]

And after calculating, we find:

\[ 0.24 = -0.36 \]

Let me know if you need further assistance or clarification!

Answer 6

x= divide both sides by 0.24

Answer 7

To solve for \( x \) in an equation where you divide both sides by \( 0.24 \), let's assume we have an equation of the form:

\[ x \cdot 0.24 = y \]

Where \( y \) is some number. If we need to isolate \( x \), we would divide both sides by \( 0.24 \):

Step 1: Divide both sides by \( 0.24 \)

\[ \frac{x \cdot 0.24}{0.24} = \frac{y}{0.24} \]

Step 2: Simplifying the left-hand side:

The left-hand side simplifies to:

\[ x = \frac{y}{0.24} \]

Now you have isolated \( x \).

Example

Let’s say the equation is:

\[ 0.24x = 1.2 \]

To solve for \( x \):

1. Divide both sides by \( 0.24 \):

\[ x = \frac{1.2}{0.24} \]

2. Calculate the right-hand side:

\(\frac{1.2}{0.24} = 5\)

So, \( x = 5 \).

Summary

In general, if you have:

\[ x \cdot 0.24 = y \]

You can isolate \( x \) by dividing both sides by \( 0.24 \):

\[ x = \frac{y}{0.24} \]

If you have a specific equation in mind where you want to apply this, please provide it and I'll be happy to help further!