The first term of the arithmetic progression exists at 10 and the common difference is 2.
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How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8 5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
To learn more about common differences refer to:
brainly.com/question/1486233
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Answer:
85-86%
Step-by-step explanation:
Make it an equation
You want to find the percent out of a hundred, so 42 is 100 since it is all of the questions and 36 is the unknown percent X
36/42 = X/100
36 X
42 100
Cross multiply
Do math and solve for X
36 x 100 = 42 x X
3600=42X
X=85.71
SOLUTION:
As an equation it is:
y - 3x = 5y + 2x
If you are asking for it as a sentence ( I will do it as a written sentence as I unfortunately can't show you the sentence verbally as you had asked ), then it is as you had written in your question so:
Three times x less than y is five times y plus two times x
Or you could write is as:
y subtracted by three times x is equivalent to the sum of five times y and two times x.
Essentially, even with the small alterations that you can make to the phrasing and sentence structure, the concepts are the same so you can use one of the above answers or alter it as you please.
Hope this helps! :)
Answer:
Second option:
Step-by-step explanation:
Let be "x" the number of candy bars Brady sold on Saturday.
For this exercise you need to analize the information provided in the exercise.
According to the information provided, Brady gets paid $2 for every candy bar he sells. This can be expressed as:
You know that Brady made a total of $90 on Saturday; this mean the product of is 90.
Based on this, you can write the following equation that represents the number of candy bars Brady sold on Saturday:
Observe that this matches with the second option.