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:
x=b/(ay)
Step-by-step explanation:
To make x the subject of the formula, we basically have to isolate the x.
To do this we first multiply both sides by x.
xy=b/a
Now, to isolate the x, we simply divide by y,
x=b/(ay)
So x=b/(ay) is our answer
Answer:
so, 15 divided by 3 is 5. so the constant of proportionality is 5. and 60 seconds for the minute, divided by 5 is................12.
if this is wrong im sorry. Hope i helped!
Answer:



Step-by-step explanation:
step 1
Find the measure of side c
Applying the law of cosines

substitute the given values



step 2
Find the measure of angle A
Applying the law of sine

substitute the given values




step 3
Find the measure of angle B
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so

substitute the given values


