Answer:
7/10
51/100
473/1000
27/100
537/1000
1649/10000
Step-by-step explanation:
im curious about what the dots are in .16.49 and .5.37, why are there two dots?
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
a
0
=
4
a
i
=
a
i
−
1
+
7
XXXX
possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence
Explanation:
This is a simple arithmetic sequence with a difference of
7
between ascending sequence terms.
Answer:
m∠1 = 130°
m∠2 = 158°
Step-by-step explanation:
For the given figure, we have;
The measure of angle m∠1 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;
m∠1 = 99° + 31° = 130°
m∠1 = 130°
Similarly, the measure of angle m∠2 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;
m∠2 = 28° + m∠1 = 28° + 130° = 158°
m∠2 = 158°.
