Answer:
We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489
Step-by-step explanation:
- Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.
This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.
However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.
Observe that:
- 1+2+4+8+16+32+64+128+256+489=1000
- Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
- If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since
, by 2) we know that this would be possible.
Answer:
23 degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line is 180°
103+3x+15+x+10 = 180
128+4x =180
4x = 180-128
4x = 52
x = 52/4
x = 13
The measure of the angle of the intersection between Derby Drive and Rosemont is x+10
= 13+10
= 23 degrees
Hence the measure of the angle is 23 degrees
Answer:
Step-by-step explanation:
(x - 3)/2= 1
x - 3 = 2
x = 5
(y - 8)/2 = -2
y - 8 = -4
y = 4
(5, 4) coordinates for B
Answer:
<h2>10</h2>
Step-by-step explanation:
<em>The answer is 10 because 7 + 3 equals 10!</em>
<em></em>
<em>This can be proven by adding 7 + 3 or by subtracting in a certain way.</em>
<em>7 + 3 = ?</em>
<em>7 + 1 = 8</em>
<em>7 + 2 = 9</em>
<em>7 + 3 = 10</em>
<em></em>
<em>You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.</em>
<em></em>
<em>If you subtract 7 by 10, ( 10 - 7 ) then you get 3</em>
<em>If you subtract 3 by 10, ( 10 - 3 ) then you get 7</em>
<em>If the number you subtracted matches the number that you didn't subtract, then your answer is correct.</em>
<em></em>
<em>Hope this helps! <3</em>
Answer:
i think. 8 times 12 = 96 times 20 = 1,920