Rewrite the equation 5/b=10 as two equations joined by “and.”(1 point) 5/b=10 and b≠

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 days ago

The equation \( \frac{5}{b} = 10 \) can be rewritten as two equations joined by "and" as follows:

\( 5/b = 10 \) and \( b \neq 0 \).

User Icon for Finally Some Answers Finally Some Answers answered
24 days ago

What value will complete the set of equations 15/3x−9−4=12 and x≠ _____?(1 point)

The value that completes the set of equations is x≠ ()

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 days ago

To determine the value that completes the set of equations for \( 15/(3x - 9) - 4 = 12 \), we first solve the equation.

1. Start by isolating the fraction:
\[
\frac{15}{3x - 9} - 4 = 12
\]
Add \( 4 \) to both sides:
\[
\frac{15}{3x - 9} = 16
\]

2. Next, multiply both sides by \( 3x - 9 \) to eliminate the fraction (noting that \( 3x - 9 \neq 0 \)):
\[
15 = 16(3x - 9)
\]
Simplifying the right side:
\[
15 = 48x - 144
\]

3. Rearranging to solve for \( x \):
\[
48x = 15 + 144
\]
\[
48x = 159
\]
\[
x = \frac{159}{48}
\]

4. We also need to determine when \( 3x - 9 = 0 \) to find values to avoid:
\[
3x - 9 = 0 \implies 3x = 9 \implies x = 3
\]

Thus, the value that completes the set of equations is \( x \neq 3 \).

The final answer is:
\( x \neq 3 \)

User Icon for Finally Some Answers Finally Some Answers answered
24 days ago

What is the undefined value for 22=4+5x/9x−6 ? Write your answer in reduced fraction form, if applicable. (1 point)

The undefined value is()

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 days ago

To find the undefined value for the equation

\[
22 = \frac{4 + 5x}{9x - 6}
\]

we should identify when the denominator is equal to zero, as this would make the expression undefined.

Set the denominator equal to zero:

\[
9x - 6 = 0
\]

Now, solve for \( x \):

\[
9x = 6
\]
\[
x = \frac{6}{9}
\]

Now, simplify the fraction:

\[
x = \frac{2}{3}
\]

Therefore, the undefined value is

\[
\frac{2}{3}
\]

Thus, the final answer is:

The undefined value is \( \frac{2}{3} \).

User Icon for Finally Some Answers Finally Some Answers answered
24 days ago

Solve for x in the following equation: 1x+4=2 . Write your answer in reduced fraction form, if applicable.(1 point)

x=()

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 days ago

To solve the equation \( 1x + 4 = 2 \), we can simplify it as follows:

1. Subtract \( 4 \) from both sides:
\[
1x = 2 - 4
\]
\[
1x = -2
\]

2. Divide both sides by \( 1 \):
\[
x = -2
\]

Thus, the solution for \( x \) is:

\[
x = -2
\]

User Icon for Finally Some Answers Finally Some Answers answered
24 days ago

Solve for x in the following equation: 1/x+4=2 . Write your answer in reduced fraction form, if applicable.(1 point)

x=()

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 days ago

To solve the equation

\[
\frac{1}{x} + 4 = 2,
\]

follow these steps:

1. Subtract \( 4 \) from both sides:
\[
\frac{1}{x} = 2 - 4
\]
\[
\frac{1}{x} = -2.
\]

2. Now, take the reciprocal of both sides to solve for \( x \):
\[
x = \frac{1}{-2} = -\frac{1}{2}.
\]

Therefore, the solution for \( x \) is:

\[
x = -\frac{1}{2}.
\]

User Icon for Finally Some Answers Finally Some Answers answered
24 days ago

What is the value of the variable p in the given equation? 17/p+4=55 Write your answer in reduced fraction form, if applicable. (1 point)

p=()

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 days ago

To solve the equation

\[
\frac{17}{p} + 4 = 55,
\]

follow these steps:

1. Subtract \( 4 \) from both sides:
\[
\frac{17}{p} = 55 - 4
\]
\[
\frac{17}{p} = 51.
\]

2. Now, multiply both sides by \( p \) to eliminate the fraction:
\[
17 = 51p.
\]

3. Next, divide both sides by \( 51 \) to solve for \( p \):
\[
p = \frac{17}{51}.
\]

4. Now, simplify the fraction:
\[
p = \frac{1}{3} \quad \text{(since both 17 and 51 can be divided by 17)}.
\]

Thus, the value of \( p \) is

\[
p = \frac{1}{3}.
\]