Answer:
is the simple form of 0.35.
i.e.
Step-by-step explanation:
Considering the decimal number
First lets convert it into a fraction
Multiply and divide by 10 for every number after the decimal point.
There are two digits to the right of the decimal point, therefore multiply and divide by 100.
Now reduce the fraction into a simple form
as
so
Therefore,
is the simple form of 0.35.
i.e.
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Answer:
Step-by-step explanation:
y = 5x + 4
-5x + y = 4 ----------------------(i)
3x + 2y = 20 --------------------(ii)
Multiply equation (i) by (-2)
(i)* (-2) 10x - 2y = -8
(ii) <u>3x + 2y = 20</u> { Now add this two equations}
13x = 12 { -2y and 2y got eliminated}
x = 12/13
Plug in value of x in (i)
-5*12/13 + y = 4
-60/13 + y = 4
y = 4 + 60/13
Answer:
R(p) = -6p^2 + 60p....
Step-by-step explanation:
Revenue, R = quantity sold * price
Price = p
Quantity sold = q = -6p + 60
R(p) = q*p
where q=-6p + 60
= (-6p + 60) * p = -6p^2 + 60p
Answer: R(p) = -6p^2 + 60p....
Answer:
S = 9
L = 12
H = 15
Step-by-step explanation:
So this is a system of equations. Fist, let's set up the legs.
L is longer, S is shorter and H is hypotenuse.
S = S
L = S + 3
H = S + 6
Now what equation relates all three sides of a right triangle. Pythagorean is the most obvious so let's use that.
S^2 + L^2 = H^2
S^2 + (S + 3)^2 = (S+6)^2
S^2 + S^2 + 6S + 9 = S^2 + 12S + 36
S^2 - 6S - 27
I am going to use completing the square
(S - 3)^2 - 36 = 0
(S - 3)^2 = 36
S - 3 = +/-6
S = +/-6 + 3
S = -3 or 9
Measures can't be negative so we will use 9. Plug it back into the original 3 equations.
S = 9
L = 9 + 3 = 12
H = 9 + 6 = 15
And the pythagorean theorem
9^2 + 12^2 = H^2
225 = H^2
15 = H
So it works.