Aknitting machine used a total of 457,500 meters of yarn to make 100 cardigans and 200 pullovers yesterday. the machine takes the same length of yarn to make 21 pullovers as to make 20 cardigans. what length of yarn does the machine use to make cardigans and pullovers? the machine uses of yarn per cardigan and uses meters per pullover.

The machine uses 1575 meters of yarn per cardigan and uses 1500 meters per pullover.

Step-by-step explanation:

Let P be yarn needed by machine for each pullover and C be yarn needed by machine for each Cardigan.

We are told that the machine takes the same length of yarn to make 21 pullovers as to make 20 cardigans. We can represent this information as:

The machine used a total of 457,500 meters of yarn to make 100 cardigans and 200 pullovers. We can represent this information as:

Let us solve our system of equations using substitution method.

From equation (1) we will get,

Upon substituting this value in equation (2) we will get,

Therefore, the machine uses 1500 meters of yarn per pullover.

Upon substituting P=1500 in equation (1) we will get,

Therefore, machine uses 1575 meters of yarn per cardigan.

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is:

i would be 2,000 just get the square root of 50 which is 2500 and the divid 4/5 and last thing multiply the answer you get for that by the square root of 50

step-by-step explanation: