The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the above formula, we can find the slope of the line:
m = (49-14)/(35-10)
m = 35/25
m = 7/5
The equation will be:
y = 7x/5 + c
here c is the y-intercept
Plug (10, 14) in the equation to find the value of c
14 = 7(10)/5 + c
c = 0
y = 7x/5 or
5y - 7x = 0
Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
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About 400 marbles. You simply set up a proportion and solve it as I did in the photo attached.
The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Liam performs the experiment 62 times
Total number of outcomes = 62
A pineapple chew was selected 58 times.
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Now, the probability that the next chew Liam removes from the bag will be cherry chew:
P = 2/62
P = 1/31
P = 0.0322 or 0.03
Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
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229-133 = -y
96/-1 = -y/-1
-96 = y
Answer:
? = 3
Step-by-step explanation:
To find the value of ?, substitute one of the ordered pairs from the table [except (0, 0)] into the given formula and solve for ?.
Given formula:
Substitute x = 1 and y = 3 into the formula:
To isolate ? divide both sides by 1:
Therefore, ? = 3:
Check by inputting another value of x from the table into the found formula and comparing the calculated y-value:
