Answer:
Step-by-step explanation:
We can see that the denominators are not the same. You cannot do that when adding or subtracting fractions.
So you must LCD (Least common denominator)
Multiply the denominators to get LCD:
So our denominators are 50.
Now we do crisscross multiplication:
Simplify:
Answer:
20
Step-by-step explanation:
Givens
Let child one = x
Let child two = y
Let child three = z
Equations
x^2 + y^2 + z^2 = 100
xy + xz + yz = 150
Solution
There's a trick here. The square of their weights added together is equal (with some modification) to the given conditions. Start by squaring (x+y+z).
(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2xz + 2yz
Take out 2 as a common factor from the last three terms.
(x + y + z)^2 = (x^2 + y^2 + z^2+ 2(xy + xz + yz) )
Substitute the given conditions into the equation. (x^2 + y^2 + z^2) = 100 and 2*(xy + xz + yz) = 2 * 150
(x + y + z)^2 = 100 + 2*150
(x + y + z)^2 = 100 + 300
(x + y + z)^2 = 400
Take the square root of both sides.
sqrt(x+y+z)^2 = sqrt(400)
x + y + z = 20
Note
This answer tells you nothing about the values of x y and z. On the other hand it does not ask for the values of x y and z.
Answer:
<u>f</u><u>(</u><u>5</u><u>)</u><u> </u><u>=</u><u> </u><u>1</u><u>7</u><u> </u>
Step-by-step explanation:
f(x) = 3x + 2
Since the value of x is 5, we can plug it into the equation.
f(5) = 3(5) + 2
f(5) = 15 + 2
Hope this helped :)
Let the length of the rectangle is x. units , accordingly :
2.(x+3) = x×3.
2x + 6 = 3x.
x = 6 units is the answer :)
4(3X +2) -2=
12X + 6
4x3x= 12 and 4x2=8 and 8-2=6
Is in the end the answer is 12X +6
