Answer:
2/21 is the most logical answer
Step-by-step explanation:
Hi there!

Evalute by substituting in 5 for x:
w(5) = 9(5) + 8
Simplify:
w(5) = 45 + 8 = 53
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Answer: The answer is 400 blue marbles.
Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.
So, number of red marbles is

and number of blue marbles is

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

Thus, 400 blue marbles need to be added to the bag.
Answer:
Answer: 1/12
Step-by-step explanation:
2/5x-4=8-3/5x.
We want to tank x out of the denominator by multiplying x on both sides.
2/5-4x=8x-3/5
Now we simplify
-12x=-1
x=1/12
Put x in the equation to check it