Solve for m: 24 − m = 20. Find m. Find the number: 1/2 × 5 = 40. Find x.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems:

: When the difference between 24 and m results in 20. Find the value of m.

Set up the equation based on the problem statement.
The difference between 24 and $m$ is $24 - m$ . This results in 20.
$24 - m = 20$
Isolate $m$ by subtracting 24 from both sides of the equation.
$-m = 20 - 24$ $-m = -4$
Multiply both sides by -1 to solve for $m$ .
$m = 4$
The value of $m$ is $\boxed{\text{4}}$ .

: The product of half of a certain number and 5 is 40. Find the number.
Let the certain number be $x$ .
Write "half of a certain number" as an expression.
$\frac{1}{2}x$
Set up the equation based on the problem statement.
The product of $\frac{1}{2}x$ and 5 is 40.
$\frac{1}{2}x \times 5 = 40$ $\frac{5}{2}x = 40$
Isolate $x$ by multiplying both sides by the reciprocal of $\frac{5}{2}$ , which is $\frac{2}{5}$ .
$x = 40 \times \frac{2}{5}$
Perform the multiplication to find the value of $x$ .
$x = \frac{80}{5}$ $x = 16$
The number is $\boxed{\text{16}}$ .

Solve for m: 24 − m = 20. Find m. Find the number: 1/2 x 5 = 40. Find x.