Answer:
7
Step-by-step explanation:
add the like terms,
9x - 8 = 55
9x = 63
x = 63 ÷ 9
x = 7
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!
The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,
Answer:
The classification of the set of circumstances is presented in the following subsections of the understanding.
Step-by-step explanation:
A 7-year health research project revealed that individuals for whom the mom took DES throughout pregnancy seem to have been twice as probable as women for whom the mothers didn't use the medication to establish tissue irregularities that could cause cancer.
(a)
Women with whom the mothers have taken DES throughout pregnancy as well as women where its mothers haven't taken DES during pregnancy.
(b)
The information collected seems to have been a sample or survey.
(c)
A sampling unit of 3980 (women) showed that performance 63 industrialized tissue irregularities that could contribute to disease (cancer) in the proportion of females with whom the mom brought the powerful DES all through pregnancy.
The proportion of abnormalities in tissues established by females does seem to be:
= 
= 
Of every thousand women, 15.8 established tissue abnormalities.
