First, we have to find how many times 10 goes into 15.
We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.
Now, we can simplify!
In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)
1*5
1*10
2*5
The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.
5/5=1
10/5=2
So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)
We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.
1*2=2
2+1=3
Keep the denominator as 2.
The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!
So, our answer is 1 1/2.
I hope I helped! :)
Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
How do you solve this system of equations using the addition method:
4
x
−
y
=
−
4
;
5
x
+
2
y
=
−
18
?
Algebra
1 Answer
IDKwhatName
Jun 30, 2017
x
=
−
2
,
y
=
−
4
Explanation:
Right now, you have:
4
x
−
y
=
−
4
5
x
+
2
y
=
−
18
To make this easier, you must get rid of one variable, in this case I will remove
y
, to do this you must make the y-values in both equations the same.
To do this, I will multiply the whole of
4
x
−
y
=
−
4
by 2 to give
8
x
−
2
y
=
−
8
We now have:
8
x
−
2
y
=
−
8
5
z
+
2
y
=
−
18
All we need to do now is
(
8
x
−
2
y
+
5
x
+
2
y
)
=
(
−
18
−
8
)
≡
13
x
=
−
26
.
Divide both sides by 13 to find
x
:
13
x
=
−
26
13
x
13
=
−
26
13
x
=
−
2
Now put your value for
x
into either equation:
4
(
−
2
)
−
y
=
−
4
−
8
−
y
=
−
4
y
=
−
8
+
4
y
=
−
4
x
=
−
2
;
y
=
−
4
Answer link
The only math term I can think of is geometry and it means when a solid is cut through parallel to the base.
EDIT: After further research since it was all I could think of. This is the only math term for what you are looking for.
Answer:
n=27 degrees
m=36 degrees
Step-by-step explanation:
So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.
so it is: 180-126/2 which gives you 27 degrees.
this means the n value is 27.
to find m, you have to take away 90 degrees and the n value from 180.
so it is: 180-90-27 which gives you 63 degrees.
now you must take the smaller angle from 63 degrees to find m.
so it is: 63-27 which gives you 36
therefore...
n=27 degrees
m=36 degrees
