A clock shows 3:45 PM. What is this time in 24-hour format?

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12. A cuboid has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is its volume?

Write the formula for the volume of a cuboid.
$V = \text{length} \times \text{width} \times \text{height}$
Substitute the given values into the formula.
$V = 10 \text{ cm} \times 5 \text{ cm} \times 8 \text{ cm}$
Calculate the volume.
$V = 50 \text{ cm}^{2} \times 8 \text{ cm}$ $V = 400 \text{ cm}^{3}$
The correct option is A).
$\boxed{\text{A) } 400 \text{ cm}^{3}}$
13. Estimate the sum of 1,999 + 3,002 by rounding to the nearest hundred.
Round each number to the nearest hundred.
$1,999 \approx 2,000$ $3,002 \approx 3,000$
Add the rounded numbers.
$2,000 + 3,000 = 5,000$
The correct option is B).
$\boxed{\text{B) } 5,000}$
14. If the temperature in Nairobi is 30°C, what is it in Kelvin? (K = °C + 273)
Use the given formula for converting Celsius to Kelvin.
$K = \text{°C} + 273$
Substitute the given temperature in Celsius.
$K = 30 + 273$
Calculate the temperature in Kelvin.
$K = 303 \text{ K}$
The correct option is C).
$\boxed{\text{C) } 303 \text{ K}}$
15. Evaluate $(8 + 4 \div 2) \times 5$
Perform the division inside the parentheses first.
$(8 + 4 \div 2) \times 5 = (8 + 2) \times 5$
Perform the addition inside the parentheses.
$(8 + 2) \times 5 = 10 \times 5$
Perform the multiplication.
$10 \times 5 = 50$
The correct option is B).
$\boxed{\text{B) } 50}$
16. If the mean of 5, 7, 9, x, 11 is 8, find x.
Write the formula for the mean and set up the equation.
$\frac{\text{Sum of numbers}}{\text{Count of numbers}} = \text{Mean}$ $\frac{5 + 7 + 9 + x + 11}{5} = 8$
Sum the known numbers and simplify the equation.
$\frac{32 + x}{5} = 8$
Multiply both sides by 5.
$32 + x = 8 \times 5$ $32 + x = 40$
Subtract 32 from both sides to solve for x.
$x = 40 - 32$ $x = 8$
The correct option is A).
$\boxed{\text{A) } 8}$
17. Solve $2x + 3 = 11$
Subtract 3 from both sides of the equation.
$2x + 3 - 3 = 11 - 3$ $2x = 8$
Divide both sides by 2.
$\frac{2x}{2} = \frac{8}{2}$ $x = 4$
The correct option is A).
$\boxed{\text{A) } 4}$
18. What is $0.007 + 0.06 + 0.4$ ?
Align the decimal points and add the numbers.
$\begin{align*} &\quad 0.007 \\ &\quad 0.060 \\ + &\quad 0.400 \\ \hline &\quad 0.467 \end{align*}$
The correct option is A).
$\boxed{\text{A) } 0.467}$
19. Find the LCM of 8 and 12.
List the multiples of each number.
Multiples of 8: 8, 16, 24, 32, ...
Multiples of 12: 12, 24, 36, ...
Identify the smallest common multiple.
The least common multiple (LCM) of 8 and 12 is 24.
The correct option is C).
$\boxed{\text{C) } 24}$
20. A clock shows 3:45 PM. What is this time in 24-hour format?
For PM times, add 12 to the hour to convert to 24-hour format.
$3 \text{ PM} + 12 \text{ hours} = 15 \text{ hours}$
Combine the new hour with the minutes.
$15:45$
The correct option is A).
$\boxed{\text{A) } 15:45}$

A clock shows 3:45 PM. What is this time in 24-hour format?

Answer

Step-by-step solution

Write the formula for the volume of a cuboid.

Substitute the given values into the formula.

Calculate the volume.

Round each number to the nearest hundred.

Add the rounded numbers.

Use the given formula for converting Celsius to Kelvin.

Substitute the given temperature in Celsius.

Calculate the temperature in Kelvin.

Perform the division inside the parentheses first.

Perform the addition inside the parentheses.

Perform the multiplication.

Write the formula for the mean and set up the equation.

Sum the known numbers and simplify the equation.

Multiply both sides by 5.

Subtract 32 from both sides to solve for x.

Subtract 3 from both sides of the equation.

Divide both sides by 2.

Align the decimal points and add the numbers.

List the multiples of each number.

Identify the smallest common multiple.

For PM times, add 12 to the hour to convert to 24-hour format.

Combine the new hour with the minutes.

Try one yourself

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