Answer:
Step-by-step explanation:
If this has at least one solution then it will come from either 4q+9=2q-1 or from 4q+9=-(2q-1).
Let' solve the first:
4q+9=2q-1
Subtract 2q on both sides:
2q+9=-1
Subtract 9 on both sides:
2q=-10
Divide both sides by 2:
q=-5
Let's check it into the original equation:
|4(-5)+9|=|2(-5)-1|
|-20+9|=|-10-1|
|-11|=|-11|
11=11
So q=-5 checks out as a solution.
Let's solve the other equation:
4q+9=-(2q-1)
Distribute:
4q+9=-2q+1
Add 2q on both sides:
6q+9=1
Subtract 9 on both sides:
6q=-8
Divide both sides by 6:
q=-8/6
Reduce:
q=-4/3
Let's check it into the original equation:
|4(-4/3)+9|=|2(-4/3)-1|
|-16/3+9|=|-8/3-1|
|11/3|=|-11/3|
11/3=11/3
So q=-4/3 also checks out since both sides are the same when plugging in q=-4/3.
Answer:
16 batches are to be made for the party.
Explanation:
Given:
Number of batches for every 9 people= 2
Total number of people attending the party=72
To Find:
The Number of batches required=?
Solution:
Let the number of batches for 72 people be n
So, by cross multiplication method,
2 x 72 = n x 9
9n = 72 x 2
n = 8 x 2
n = 16
Answer: 1) After 17.673 years ( Approx) the population will be doubled.
2) After 53.019 years the population will be 80.
Step-by-step explanation:
1) Let x represents the number of years after which the population will doubled,
Since rate of interest = 4%
And, initial number of fish = 10,
Hence the fish after x years = 
⇒ 
⇒ 
⇒ 
⇒ 
Hence, After 17.673 years ( Approx) the population will be doubled.
2) Let after y years the population will be 80.
⇒ 
⇒ 
⇒ 
⇒ 
Hence, After 53.019 years the population will be 80.
12 + 12 =24
24+24=48
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