Answer:
The equation of the line that goes through points (1,1) and (3,7) is 
Step-by-step explanation:
Determine the equation of the line that goes through points (1,1) and (3,7)
We can write the equation of line in slope-intercept form 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope
We get Slope = 3
Finding y-intercept
y-intercept can be found using point (1,1) and slope m = 3
We get y-intercept b = -2
So, equation of line having slope m=3 and y-intercept b = -2 is:
The equation of the line that goes through points (1,1) and (3,7) is
If Ike does not want more than 20 pounds in his backpack, this means he wants less than or equal to 20 pounds in his backpack. Because each paper costs 1/3 pound, this can be used as the rate of change and we can set up the following inequality:
1/3x < 20
To solve this inequality, we should divide both sides of the equation by 1/3.
x < 60
Because this inequality means that x is less than or equal to 60, the answer is that Ike can carry 60 papers in his backpack.
Hope this helps!
Answer:
Divide the number of contestants by 4 and when there is 120 contestants there is 30 winners
Step-by-step explanation:
Looking back at past sequences we can see that when we had 8 contestants we had 2 winners 8/4=2 and we also saw 16/4=4 so that was the formula now we just had to do it on 120 contestants and now we get 30 winners....Hope this helps! :)
It should be 121, or +4 or -4 from that. But I am pretty sure it is 121
The value of x in the triangle is 9.3
<h3>How to find the side x of a triangle?</h3>
The side x of a triangle can be found as follows:
The triangle ABC is similar to triangle ADE.
Therefore, corresponding sides of similar triangles are in the same ratios.
Hence,
7 / 13 = x / x + 8
cross multiply
7(x + 8) = 13x
7x + 56 = 13x
subtract 7x from both sides of the equation
7x - 7x + 56 = 13x - 7x
56 = 6x
divide both sides by 6
x = 56 / 6
x = 9.33333333333
x = 9.3
learn more on triangle here: brainly.com/question/2292453
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