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:
1)
A)
We must use the formula b x h/2 12 x 8/2 = 48
A=48
B)
We must use the formula 1/2a root c squared - a squared
Solving and substituing will get you 35.78
2)
A)
We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter
B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is s root 2.
3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:
h x b /2 = 10 x 20/2 = 200/2 = 100
AREA IS 100cm squared
Step-by-step explanation:
Answer: 20 cups of grape juice are needed for 8 cups of peach juice.
Step-by-step explanation:
5 times 4 is 20.
We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.
So, 20 cups of grape juice are needed for 8 cups of peach juice.
Hope this answer helps you out!
The sum of a number b and 3 is greater than 8 and less than
12
<span>=> b + 3 < 8
=> b + 3 > 12
</span>
<span>Now,
let’s combine this into an expression:
=> 8 < b+3 < 12
=> (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but
less than 12.
</span>
Answer:
y-intercept = 7
Step-by-step explanation:
The y-intercept is also the starting point
