To solve this problem, I am going to use the substitution method. To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable. This is modeled below:
s = 4r - 1
6r - 5s = -23
6r - 5(4r-1) = -23
Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS. To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.
6r - 20r + 5 = -23
Next, we should combine like terms on the left side of the equation:
-14r + 5 = -23
Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation. We get:
-14r = -28
Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.
r = 2
Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):
s = 4r - 1
s = 4(2) - 1
Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.
s = 8-1
s = 7
Therefore, your answer is s = 7 and r = 2.
Hope this helps!
452,790,542,586,157,472,700,1250,1108,519,653,134,75,381,204 percentile
Alex
Answer:
ummm, can you please put more detail into the question please???
Step-by-step explanation:
Answer: 1.83
Step-by-step explanation:
Z = (x - mean) / standard deviation
= (97-75) / 12
= 22/12 = 11/6 = 1.83
Answer:
Step-by-step explanation:
6x - 9y = 12
subtract 6x from both sides
-9y = 12 - 6x
divide both sides by -9
y = -4/3 + 2/3x
or
y = 2/3x - 4/3
Answer: Our required probability is 0.58.
Step-by-step explanation:
Since we have given that
Number of students worked in Nursing home = 11
Number of students worked in Tutoring center = 13
Number of students worked in Soup kitchen = 8
Number of students worked in Library = 18
Total number of students = 50
Since 3 students are selected from the club.
We need to find the probability that none of the three students volunteer at the soup kitchen.
So, Remaining students would be 50-8 = 42
So, probability that none of three students at the soup kitchen is given by
Hence, our required probability is 0.58.
