The volume of a rectangular prism:
insert
The volume of a cylinder:
insert:
Response: C. The cylinder possesses a larger volume.
Answer: Initially, he had 27 sweets.
Step-by-step explanation: The most logical approach is to work backwards from what remained after the third day to the start of the first day.
On the third day, he consumed one-third of his sweets and was left with 8. If we let the total sweets on day three be denoted as a, then one-third of a equals what he ate and the two-thirds left equals 8, giving us:
8/a = 2/3
By cross-multiplying, we find:
8 x 3 = 2a
Therefore, 24 = 2a
This leads to a = 12.
Let the sweets on day two be represented as b. If he consumed one-third of b and was left with 12, we have the same structure; hence:
12/b = 2/3
Cross-multiplying gives:
12 x 3 = 2b
So, 36 = 2b, leading to b = 18.
Denote the number of sweets on day one as x. If one-third of x was eaten and 18 remained, we can set up the equation:
18/x = 2/3
Again, cross-multiplying results in:
18 x 3 = 2x
Which simplifies to 54 = 2x, yielding x = 27.
Thus, Tim received 27 sweets at the start.
From AA3+2=AAA, it follows that 3+2 equals A, so A must be 5.
Given CC6+6=CBB, since 6+6 equals 12, the final digit has to be 2, making B=2. Additionally, adding 6 to 6 increases the tens digit by one, meaning B is one more than C, so C=1 (since 2-1=1). Therefore, ABC equals 521.
Hello! There are three sentences in this problem that we need to complete with the appropriate values. Let's begin with the first sentence. SENTENCE #1 The initial number of visits to the website was ____. Before inserting numbers, I want to ensure you understand the word 'initial.' It refers to the very first value in something. Therefore, this sentence is asking for the first count of visits on the football team's website. It doesn't specify if it's the initial visits within the first day or hour, so we can assume it's the first week's count. To find the number of visits in week 0, we'll review the chart, which indicates 48,000 visits for that week. Thus, the completed sentence will say, The initial number of visits to the website was 48,000. SENTENCE #2 The percent decrease from week __ to week __ was ____%. To determine the percent decrease, we first calculate the difference between the two values, then divide that difference by the original number and multiply by 100. Hence, the new statement concludes with, The percent decrease from week 4 to week 5 was 50%. SENTENCE #3 The minimum number of visits on the website during the first 5 weeks since Jim began his assessment was ____. This is straightforward; we only need to check week 5 to find the minimum visit count. Therefore, the completed sentence will state, The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. Hope this helps! - Lindsey Frazier ♥
