So with this, we will be using proportions. To solve for x, our proportion will be 
Firstly, cross-multiply: 
Next, subtract 36 on both sides: 
Next, replace -9x with 3x-12x 
Next, factor x^2+3x and -12x-36 separately: 
. After, rewrite it as 
Next, solve for x separately in the two parentheses:
Since we can't have a negative length, x = 12.
To solve for y, our proportion will be 
Firstly, cross-multiply: 
Next, just square root each side, and your answer will be (rounded to hundredths) 
In short, x = 12 and y = 10.39.
Answer:
The fraction of chores which Janie wants to earn enough money to buy a CD for $13.50 are 8.75~9 chores
Step-by-step explanation:
Given that Janie has $3. She earns $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.
we have to find the fraction of chores Janie did to earn total of $13.50
Let the fraction of chores is x which Janie wants to earn enough money to buy a CD for $13.50.
Total money=$3+$1.20(fraction of chores)
$13.50=$3+$1.20(x)
$13.50-$3=$1.20(x)
x=8.75~9
Hence, the fraction of chores which Janie wants to earn enough money to buy a CD for $13.50 are 8.75~9 chores
Answer:
7
Step-by-step explanation:
x+5x=42
Let the number be n.
Then:
n^2 + (1/n)^2 = 82/9; find n. Find the LCD; it is 9n^2.
Mult all 3 terms by 9n^2:
82*9n^2
9n^4 + 9 = (82/9)(9n^2) => 9n^4 + 9 = ------------
9
Then 9n^4 - 82n^2 + 9 = 0
I used my graphing calculator to find that n = 3.
Let's check: is 3^2 + (1/3)^2 = 82/9?
Is 9 + 1/9 = 82/9?
Is 81 + 1 = 82? YES. So, n=3 is a solution.
