-9(3-r)=45
-27+9t=45
9r=45+27
R=72/9
R=8
The answer is 8 not -8
P-0.40p = 0.60p
C. Decrease by 40% is the same as multiply by 60%.
Assume that p = 10
10 - 0.40(10) = 0.60(10)
10 - 4 = 6
6 = 6
Based on the above assumption. 40% of 10 is 4 ; and 60% of 10 is 6. So, 10 less 4(40% of 10) is equal to 6 (60% of 10).
Percentage is used because 0.40 and 0.60 will be multiplied with 100% to get the equivalent percentage 0.40 x 100% = 40% ; 0.60 x 100% = 60%
QUESTION 1
We want to solve,

We factor the denominator of the fraction on the right hand side to get,

This implies


We multiply through by LCM of


We expand to get,

We group like terms and equate everything to zero,

We split the middle term,

We factor to get,





But

is not in the domain of the given equation.
It is an extraneous solution.

is the only solution.
QUESTION 2

We add x to both sides,

We square both sides,

We expand to get,

This implies,

We solve this quadratic equation by factorization,





But

is an extraneous solution
It would be 2u3+4u2-2u-4u2-8u+4= 2u3-10u+4
Answer: She cycles 25% of the time
Step-by-step explanation:
From the question, Sally walks 15% of the time.
She drives 3/5 of the time.
We then convert 3/5 to percentage.
Converting to percentage means multiplying by a factor of 100.
Hence, Sally drives 3/5*100 = 60% of the time.
If Sally walks 15% of the time and drives 60% of the time, adding up the percentage time used by these two media of transportation will give us
60% + 15% = 75%
Hence if she cycles for the remainder of the time, expressing it as percentage would mean subtracting the time used in other means by 100%
Hence it will be 100% - 75% = 25%