Let x and y be the 2 parts of 15 ==> x + y=15 (given)
Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)
Let's solve 1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)
==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy
But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50
Now we have the sum S of the 2 parts that is S = 15 and
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
Answer:
$8
Step-by-step explanation:
After the shoe purchase, her balance was $50 -45 = $5.
After depositing her babysitting earnings, her balance was $5+25 = $30.
After buying pizza, her balance was $30 -42 = -$12.
<em>Assuming no overdraft charge</em>, her balance after depositing her earnings was ...
-$12 +20 = $8
Sally's balance on Sunday was $8.
Find the mode of 3, 6, 4, 3, 2, 4, 7, 8, 6, 3, 9
lions [1.4K]
Answer:
3 is the mode because it appears most often.
Step-by-step explanation:
Answer: 8n-5
Step-by-step explanation:
Answer:The GCF of 14 and 35 is 7. To identify the GCF of 14 and 35, we first need to list all of their factors: 14: 1, 2, 7, 14. 35: 1, 5, 7, 35.
