Answer:
9/20 yes, 4/15 not. See below
Step-by-step explanation:
Pick 9/20 and multiply numerator and denominator by 5:
9/20 = 45/100
We know that if we divide a number by 100 we need to move the coma as two places left, so:
9/20 = 45/100 = 0.45
And this is a terminal decimal as we know where it ends.
On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):
4 |_ 15
we can divide 4 by 15, so we use 40 and begin with a comma
40 |_ 15
0.
15 enters 2 times in 40 with a rest of 10, so:
40 |_ 15
30 0.2
100
100 divided by 15 is 6 and we have 10 as rest again, and again and again...
40 |_ 15
30 0.266.....
100
100
....
So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...
Answer:
I think its c but im not sure
Step-by-step explanation:
An arc of a circle has the same measure as the central angle that intercepts it.
Central angle 1 intercepts arc AB.
The measure of central angle 1 is the same as the measure of angle AB.
The measure of arc AB is 30 deg.
Answer:
x = 10
y = 11
Step-by-step explanation:
Solve for x:
2x + 3y = 53
3x(3) - y(3) = 19(3)
2x + 3y = 53
9x - 3y = 57
Add:
2x = 53
9x = 57
11x = 110
Solve algebraically:
x = 110 ÷ 11
x = 10
Now solve for y:
2(10) + 3y = 53
20 + 3y = 53
3y = 53 - 20
3y = 33
y = 33 ÷ 3
y = 11
Verify for the second equation:
3x - y = 19
3(10) - (11) = 19
30 - 11 = 19
30 = 19 + 11
30 = 30 (Correct)
Cheers!
