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hat is the value of q in this equation? 24 + q = 107

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To find the value of \( q \) in the equation \( 24 + q = 107 \), you can subtract 24 from both sides of the equation:

\[ q = 107 - 24 \]

Calculating this gives:

\[ q = 83 \]

So, the value of \( q \) is \( 83 \).

What is the value of x in the following equation? 4x = 6

To find the value of \( x \) in the equation \( 4x = 6 \), you can divide both sides by 4:

\[ x = \frac{6}{4} \]

This simplifies to:

\[ x = \frac{3}{2} \quad \text{or} \quad x = 1.5 \]

So, the value of \( x \) is \( \frac{3}{2} \) or \( 1.5 \).

Marsha, Nick, and 3 of their friends had a yard sale. They made a total of $215.40. They decided to share the total equally. Which number sentence could be used to find s, the amount of money each person received?

To find \( s \), the amount of money each person received, you need to divide the total amount made, which is $215.40, by the total number of people sharing the money.

Marsha, Nick, and their 3 friends make a total of 5 people. Therefore, the number sentence to find \( s \) is:

\[ s = \frac{215.40}{5} \]

This equation can be used to determine how much each person received from the yard sale.

Write and solve an equation to answer the question below. Henry has 12 flowers in bouquets. Each bouquet has 4 flowers. How many bouquets, b, does Henry have?

To write an equation to find the number of bouquets \( b \) that Henry has, you can relate the total number of flowers to the number of bouquets and the number of flowers per bouquet. The relationship can be expressed as:

\[ 4b = 12 \]

This equation states that the number of flowers in all the bouquets (4 flowers per bouquet times the number of bouquets) equals the total number of flowers (12).

Now, to solve for \( b \), divide both sides of the equation by 4:

\[ b = \frac{12}{4} \]

Calculating this gives:

\[ b = 3 \]

Therefore, Henry has \( 3 \) bouquets.

Which of the following equations has a solution of -5?

To determine which equation has a solution of -5, we can test various equations by substituting \(-5\) for the variable and checking if the equation holds true.

Since you haven't provided the specific equations to analyze, here are a few examples of what to look for:

  1. Equation 1: \( x + 2 = -3 \)

    • Substitute \(-5\): \(-5 + 2 = -3 \) (True)

  2. Equation 2: \( 3x - 10 = -25 \)

    • Substitute \(-5\): \( 3(-5) - 10 = -15 - 10 = -25 \) (True)

  3. Equation 3: \( x^2 + 6 = 31 \)

    • Substitute \(-5\): \((-5)^2 + 6 = 25 + 6 = 31 \) (True)

  4. Equation 4: \( 2x + 1 = 0 \)

    • Substitute \(-5\): \( 2(-5) + 1 = -10 + 1 = -9 \) (False)

If you provide specific equations, I can help you determine which one has a solution of \(-5.\)

x - 4 = -9

x + 3 = -11

x - 12 = 17

x - 5 = 0

To determine which of the provided equations has a solution of \(-5\), let's solve each equation one at a time.

  1. Equation 1: \( x - 4 = -9 \) \[ x = -9 + 4 \ x = -5 \]

  2. Equation 2: \( x + 3 = -11 \) \[ x = -11 - 3 \ x = -14 \]

  3. Equation 3: \( x - 12 = 17 \) \[ x = 17 + 12 \ x = 29 \]

  4. Equation 4: \( x - 5 = 0 \) \[ x = 5 \]

The only equation that results in a solution of \(-5\) is:

\[ x - 4 = -9 \]

Thus, the solution of \(-5\) is found in the first equation.