Answer:
r=11
Step-by-step explanation:
First thing you should do is add 24 to both sides. This is
-24+3r+24=9+24
Then you would get:
3r=33
Next you would do
33/3
To find:
r=11
Answer:
6 3/
5
= 6.6
Step-by-step explanation:
Conversion a mixed number 2 3/
5
to a improper fraction: 2 3/5 = 2 3/
5
= 2 · 5 + 3/
5
= 10 + 3/
5
= 13/
5
To find new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/
5
= 10/
5
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 5.
Two and three fifths is thirteen fifths
Add: 4 + 13/
5
= 4/
1
+ 13/
5
= 4 · 5/
1 · 5
+ 13/
5
= 20/
5
+ 13/
5
= 20 + 13/
5
= 33/
5
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 5 = 5. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - four plus thirteen fifths = thirty-three fifths.
Answer:
2/9
Step-by-step explanation:
We are given Susan (S) is 3 times as old as Paul (P) so S=3P.
And Paul (P) is 3/2 times as old as Mary (M) so P=(3/2)M.
What fraction of Susan's age is Mary?
So if S=3P and P=(3/2)M, then by substitution we have
Multiply both sides by the reciprocal of 9/2 resulting in:
This says Mary is two-ninths the age of Susan.
To get f(h(x)), we simply plug h(x) into the x value(s) of f(x), resulting in
2(x²+1)-1=2x²+2-1=2x²+1
For g(f(x)), we plug f(x) into the x value(s) of g(x), resulting in
3(2x-1)=6x-3
