67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning

Solution:

There are 4 ways.

Detailed explanation:

Candice has a total of 15 + 9 = 24 candies. Since she has three younger brothers, and 24 can be divided by 3 (24/3 = 8). Both 15 and 9 can also be divided by 3 (15/3 = 5 and 9/3 = 3).

- She can distribute 5 tootsie rolls to each brother.

- She can provide 3 twizzlers to each brother.

- She can give each brother 5 tootsie rolls and 3 twizzlers (if she decides to share all her candies).

- She can give them one of each type of candy, leaving her with 12 tootsie rolls and 6 twizzlers (this would be the best option if she wants to keep some for herself).

I see four methods to accomplish this, and two methods remain after her mother instructs her to share at least one of each candy type with all three brothers.

Response: 3.2

Detailed explanation:

Answer:

The answer is 7

Step-by-step explanation:

To find the base area of the triangular pyramid:

(base x height) / 2 = (4 x 3.5) / 2 = 7 in²

Answer:

There are 9 essay questions.

Step-by-step explanation:

Let x represent the number of multiple-choice questions and y represent the number of essay questions.

Given that the total question count is 26, we can derive the equation,

Additionally, the multiple-choice and essay questions carry values of 3 points and 8 points, respectively.

The overall points available in the test equal 123.

Thus, we set up the following equations:

x+y=26...........................(1)

3x+8y=123............................(2)

If we multiply equation (1) by 3 and subtract equation (2), we obtain:

5y = 45, leading to y = 9

Consequently, from x+y=26, we find x = 26 - y, resulting in x = 17.

Hence, the counts of multiple-choice and essay questions are 17 and 9, respectively.