Answer:
first one 5 - 30
second one 21 : 7
third one 16 : 32
Step-by-step explanation:
Answer:
I have:
33 - 3N/44 marbles
N = marbles of Nicole
Step-by-step explanation:
Nicole + me = 44 marbles
m = 44 - N
m = me
N = Nicole
if i lose 1/4 of my marbles
4/4 - 1/4 = 3/4
i have left:
3/4 of my marbles
then:
m = 3(44-N)/4
m = 3*44/4 + 3*-N/44
m = 33 - 3N/44
I have finally:
33 - 3N/44
ANSWER
The correct answer is

EXPLANATION
The number

is a rational number.
Since the set of rational numbers is closed under addition, the number that should be added to

should also be a rational number in order to get another rational number.
This means that, if we add a rational number to an irrational number we get an irrational number.
The only rational number in the options provided is

We add it to

to get

Note that,

Hence the result is a rational number.
As for the remaining options,

are irrational numbers, so adding them to

will not produce a rational number.
4^3 + 4*5
4^3 = 64
64 + 4*5
4*5 = 20
64 + 20 = 84
84 is the simplest answer.
<h3>
Answer: 125</h3>
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Explanation:
Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.
Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.
Since angle 3 is 55 degrees, angle 1 is also 55 degrees.
--------------
Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)
In other words,
(angle ABJ) + (angle ABF) = 180
angle ABF = 180 - (angle ABJ)
angle ABF = 180 - (angle 1)
angle ABF = 180 - (55)
angle ABF = 125 degrees