5. Find the value of the variables in the table. (e,10) (5,13) (7,19) (10,f) (12,34) (the first numbers in the set is X, the other number is Y)
A. f=28;e=4
B. e=28;f=4
C. f=30;e=2
D. e=30;f=2
20. Find the common difference in the outputs to help find the missing outputs in the table.
(5,3.8), (6,4.6), (7,5.4), (8,?), (9,?)
Answer: I know that the difference starts out at 1.2 then as you go on and subtract the other numbers, it increases by 0.2. (like 5-3.8=1.2, 6-4.6=1.4, 7-5.4=1.6)
I've been stuck on these questions for a while, can I have some help solving them please?
I don't have my answer. I need help finding my answer.
I need help with the same questions
Please
Of course, I'd be happy to help you with these questions! Let's solve them one by one:
5. To find the value of the variables, let's examine the patterns in the given pairs:
- e goes from 5 to 7, which is an increase of 2.
- Correspondingly, Y goes from 13 to 19, which is also an increase of 6.
- So, for every increase of 2 in e, Y increases by 6.
Now let's find the value of 'e' when 'Y' is 10:
- Since the increase for e is 2, we can subtract 6 from 10 to find the new value of e: 10 - 6 = 4.
So, when Y is 10, e is 4.
Now let's find the value of 'f' when e is 10:
- Since the increase for Y is 6, we can add 6 to 19 to find the new value of f: 19 + 6 = 25.
So, when e is 10, f is 25.
Therefore, the answer is A. f=25; e=4.
20. To find the common difference in the outputs, we can examine the differences between consecutive Y values:
- The difference between 3.8 and 4.6 is 0.8.
- The difference between 4.6 and 5.4 is also 0.8.
So, the common difference is 0.8. Now let's use this information to find the missing outputs:
- For the pair (8,?), the previous output is 5.4. Adding the common difference of 0.8 gives us the missing value: 5.4 + 0.8 = 6.2.
- For the pair (9,?), the previous output is 6.2. Adding the common difference of 0.8 gives us the missing value: 6.2 + 0.8 = 7.
Therefore, the missing outputs are (8, 6.2) and (9, 7).
I hope this helps! If you have any more questions, feel free to ask.
Sure, I'd be happy to help you solve these questions. Let's start with the first question.
1. Find the value of the variables in the table. (e,10) (5,13) (7,19) (10,f) (12,34)
To find the value of each variable, we need to look for patterns or relationships between the given pairs of numbers.
Looking at the first pair, (e,10), we see that the first number is denoted as 'e' and the second number is 10. As there is no specific pattern given, we can't determine the value of 'e' just from this pair.
Moving on to the second pair, (5,13), we observe that the second number is obtained by adding 3 to the first number: 5 + 3 = 13.
Looking at the third pair, (7,19), we can see that the second number is obtained by adding 12 to the first number: 7 + 12 = 19.
Now, let's focus on the fourth pair, (10,f). From the previous pattern, we can infer that f would be obtained by adding 3 to 10. So, 10 + 3 = 13.
Finally, analyzing the fifth pair, (12,34), we notice that the second number is obtained by adding 22 to the first number: 12 + 22 = 34.
Therefore, we have determined the values of the variables in the table: e = 10, f = 13.
So, the answer to the first question is A. f = 13; e = 10.
Now, let's move on to the second question:
2. Find the common difference in the outputs to help find the missing outputs in the table. (5,3.8), (6,4.6), (7,5.4), (8,?), (9,?)
To find the common difference, we need to look for patterns in the differences between the pairs of numbers in the second column.
Let's calculate the differences between each pair:
- Difference between (6,4.6) and (5,3.8): 4.6 - 3.8 = 0.8
- Difference between (7,5.4) and (6,4.6): 5.4 - 4.6 = 0.8
As we can see, the difference between consecutive pairs in the second column is consistent. It is always 0.8.
Now, we can use this information to find the missing outputs:
- Difference between (8,?) and (7,5.4): 0.8
- Difference between (9,?) and (8,?): 0.8
To find the missing outputs, we can add 0.8 to the last given output.
- Missing output (8,?): 5.4 + 0.8 = 6.2
- Missing output (9,?): 6.2 + 0.8 = 7.0
So, the missing outputs in the table are (8,6.2) and (9,7.0).
Therefore, the answer to the second question is 0.8.
I hope this helps! Let me know if you have any further questions.