Answer and Step-by-step explanation:
Suppose x = 0.2355555... .
Multiply x by 100 and 1000:
100x = 23.5555....
1000x = 235.5555....
Let's subtract the first equation from the second:
1000x - 100x = 235.5555.... - 23.555.....
Because the decimal part for each goes on forever, we can simply cancel them out in our subtraction statement:
900x = 235 - 23 = 212
Divide both sides by 900:
x = 212/900 = 53/225
Thus, since x = 0.235555..., we know that:
0.23555.... = 53/225
Since p = 53 and q = 225 are integers, we have proven that this repeating decimal can be written as a fraction.
<em>~ an aesthetics lover</em>
Answer:
x = 15
Step-by-step explanation:
1:3 is also known as 3.
Any scale factor that is greater than 1 will be an increased dilation of the shape.
Figure A to Figure B:
5 • 3 = x
x = 15
Answer:
4
Step-by-step explanation:
2x2x2x2 = 16
Answer:
3.25 and 4
Step-by-step explanation:
2y + 1/2 > 2y - (5/4y - 9/2)
2y + 1/2 > 3/4y + 9/2
1 1/4y > 8/2
y > 3.2
of the choices, only 3.25 and 4 are greater than 3.2
(3.2 is not greater than 3.2)
Answer:
in 25 weeks the stalk grew to 4 inches - false
the stalk grew to a height of 25 inches in 4 weeks - true
each bag can hold 25 cornstalks - cannot be determined
the stalk grew at a rate of 6.25 inches each week - true (25/4 = 6.25)
the quotient 25/4 equals the growth rate of the stalks each week - true