Answer:
you find the difference of 5 1/4 and 11 1/5 so what that means is
difference = subtract
so you do 11 1/5 - 5 1/4 = 5 19/20 = 5 19/20
Step-by-step explanation:
Ruby eats two slices of pie
Fraction generally represents a part of the whole. The number present in the upper side is called as numerator and the number present below is called as denominator. Fraction can also be represented as a decimal or percentage when required.
Fraction of pie Ruby ate = 1/5
Number of slices present in the pie = 10
numerical value of a fraction = fraction x total number
So, total number of slices of pie that Ruby ate = 10 x 1/5 = 2
Therefore, Ruby eats two slices of pie.
Ruby ate 1/5 of a pie and if there was 10 slices of pie, it implies Ruby eats two slices of pie.
To learn more about fraction refer here
brainly.com/question/11562149
#SPJ1
Answer:
sin
(
x/
2
) = -
√
3
/2
Take the inverse sine of both sides of the equation to extract x
from inside the sine.
x/
2
=
arcsin
(
−
√
3/
2
)
The exact value of arcsin
(
−
√
3
/2
) is −
π
/3
.
/x
2
=
−
π
/3
Multiply both sides of the equation by 2
.
2
⋅
x
/2
=
2
⋅
(
−
π
/3
)
Simplify both sides of the equation.
x
=
−
2
π
/3
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2
π
, to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.
x
/2
=
2
π
+
π/
3
+
π
Simplify the expression to find the second solution.
x
=
2
π
/3
4
π
Add 4
π to every negative angle to get positive angles.
x
=
10
π
/3
The period of the sin
(
x
/2
) function is 4
π so values will repeat every 4
π radians in both directions.
x
=2
π
/3
+
4
π
n
,
10
π/
3
+
4
π
n
, for any integer n
Exclude the solutions that do not make sin
(
x
/2
)
=
−
√
3/
2 true.
x
=
10
π
/3
+
4
π
n
, for any integer n
Hello!!
The domain of any polynomial expression is all real numbers from -infinity to +infinity. This is due to the leading x^2 term!
Hope this helps you understand! Thank you!!
Answer:
5/9
Step-by-step explanation:
Let the denominator be x and numerator be y.
Given, numerator is 4 less than denominator
=> y = x - 4 ...(1)
When 5 is added to both:
Numerator = y + 5 , and, denominator = x + 5
Now their ratio is 5/7.
=> (y + 5)/(x + 5) = 5/7
=> 7(y + 5) = 5(x + 5)
=> 7y + 35 = 5x + 25
=> 7y - 5x = 25 - 35
=> 7(x - 4) - 5x = -10 {y=x-4}
=> 7x - 28 - 5x = -10
=> 2x = 18
=> x = 9
Thus,
Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9
