Answer:
Step-by-step explanation:
Given the rational expression: 
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator
Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let,
= 
Multiply both sides by (x - 1)(x - 4)
= 
Step 3:
Substituting x = 4 in
Substituting x = 1 in
Step 4: Plug in the values of A and B into the original equation in step 2
If the ratio of red marbles to blue marbles in a jar is 3 to 8, the meaning is for every 3 red marbles there are 8 blue marbles.
3 red marbles------------------8 blue marbles.
ratio=3/8
we have 40 blue marbles; we have to compute the number of red marbles.
1) Method 1; by the rule three.
3 red marbles-----------------8 blue marbles
x----------------------------------40 blue marbles
x=(3 red marbles * 40 blue marbles) / 8 blue marbles=15 red marbles.
answer: B. 15
Method 2: the ratio of red marbles to blue marbles is
ratio=number of red marbles / number of blue marbles
ratio=3/8
if we want to compute the number of red marbles we have to multiply the number of blue marbles by this ratio.
number of red marbles=ratio (red/blue)* number of blue marbles
number of red marbles=(3/8)*40=15
Answer: B.15
Answer:
Step-by-step explanation:
what is the value of a in a/5 + 3= 8
a/5 + 3= 8
a/5 = 8 - 3
a/5 = 5
a = 5 * 5
a = 25
Answer:
hypotenuse = 102.69
Step-by-step explanation:
7(13) + 4 = 95
3(13) = 39
hypotenuse² = 95² + 39² = 9025 + 1521 = 10546
hypotenuse = √10546 = 102.69
