To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator. To make them compatible, we can convert
into
:
Next, we can simplify:
Finally, to cancel the denominator within the denominator, we can multiply the whole expression by
, or 1:
The expression simplifies to
, or
as a mixed number.
Answer:
One
Step-by-step explanation:
Given data
The capacity of Jug= 6L
Needed capacity of Juice= 5L
Hence one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain
Answer:
62.8 in2
Step-by-step explanation:
With round pizza we need to
find the area of each pizza in
square inches, then determine
the difference.
The area of a circle is given by:
A = πr2
12 inch diameter, radius = 6
a = π(62) = 36π in2
8 inch diameter, radius = 4
a = π(42) = 16π in2
Difference: 36π - 16π = 20π in2
using 3.14 for pi, the difference is
20(3.14) = 62.8 in2
Answer:
k = -1/240
Step-by-step explanation:
to evaluate the value of k in the expression 1/3k+80=1/2k+120
we have
1/3k+80=1/2k+120
collect the like terms for easy evaluation
1/3k - 1/2k = 120 -80
1/3k - 1/2k = 40
find the lcm
2 - 3/6k = 40
-1/ 6k = 40
cross multiply
6k x 40 = -1
240k = -1
divide both sides by 240
240k/240 = -1/ 240
k = -1/240
therefore the value of k in the expression 1/3k+80=1/2k+120 is equals to -1/240
