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: 21.5cm³
Step-by-step explanation: This is your answer there is no way it is incorrect
Answer:
A) 
Step-by-step explanation:
![f(n) = \sqrt[3]{n} -2](https://tex.z-dn.net/?f=f%28n%29%20%3D%20%5Csqrt%5B3%5D%7Bn%7D%20-2)
![y = \sqrt[3]{n} -2](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bn%7D%20-2)





Hope this helps!
Answer:
Ok, primero, como lo deducimos gráficamente?
Sigamos estos pasos.
Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.
200 soles representa el 100%.
Ella lo quiere vender al 80% (o le quiere restar el 20%).
Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.
Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)
Multiplicar eso por 8.
Esa cantidad es el equivalente al 80% del precio de la bicicleta.
Abajo hay un dibujo donde se ve el método.
Una forma mas matemática de resolverlo es:
200 soles = 100%.
x soles = 80%
x es el precio al que ella va a vender la bicicleta:
Veamos el cociente de esas dos ecuaciones:
200/x = 100%/80%
x = 200*(80%/100%) = 160
Ella vendería la bicicleta en 160 soles.