Answer:
<u>19.01 pound</u> of cashews and <u>16.99 pounds</u> of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.
Step-by-step explanation:
Given:
The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.
Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.
Let the quantity of cashews be 
Let the quantity of brazil nuts be 
So, total pound of mixture of nuts:

Now, the total price of mixture per pound:


Substituting the value of
from equation (1) we get:



Subtracting both sides by 144 we get:

Dividing both sides by 3.2 we get:

The quantity of cashews = 19.01 pound.
Now, substituting the value of
in equation (1) we get:

The quantity of brazil nuts = 16.99 pounds.
Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.
Answer:
$8.00
$32.00
$62.000
N.$6.00 + $2.00
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
<u>Linear:</u>
1. During the spring, the grass in Gianna's yard grew
inch per week.
Equation:
where x is the number of spring weeks, y inches is the height of the grass after x weeks.
2. Rita babysits. She worked 2 hours and earned $24. She worked 3 hours and earned $36.
Equation:
where x is the number of hours, y is the amount Rita earned in x hours.
<u>Exponential:</u>
1. The population of the town was 25,000 in 1980. Then the population increased by
per year.
Equation:
where x is the number of years, y is the population after x years passed since 1980.
2. A car was worth $18,500 when it was new. Then the value decreased 18% per year.
Equation:
where x is the number of years, y is the car price after x years passed.
<u>Neither linear nor exponential:</u>
Albert went on a hike. After 1 hour, he had hiked 4 miles; after 2 hours he had hiked 7 miles; after 3 hours he had hiked 11 miles.
The differences 7 - 4 = 3, 11 - 7 = 4 are different, so the function is not linear. Also it is not exponential, becayse each next number of miles is not multiplied the previous number of miles by some number.
Exact Form: 34/27
Mixed Number Form: 1 7/27 (one and seven twenty-sevenths)
Decimal Form: 1.259... (never ending)
Isolate the variable by dividing each side by factors that don't contain the variable.
The answer is 1575. Divide 1080 by 24 to get cost per plate. Then multiply it by 35.