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Answer:
y = 3.33x - 18
Step-by-step explanation:
In order for a line to be perpendicular to another, it must have a slope with the negative reciprocal
- Here in the equation y = -0.3z + 6 has a slope of -0.3 (can also be written as
)
- A line that is perpendicular to this line will need to have a slope of 3.33 repeating (or
)
- I will using fractions for simplicity and convert to decimals afterwards
Since we have our slope and the two points, we can plug them into y = mx + b to solve for b and write our new equation of a line
- Substituting in the values that we have we get:
- Simplifying we get -8 = 10 + b, making b = -18
Now that we have our slope and our y-intercept we can plug them into the same formula used before to find our perpendicular line:
which can also be written as y = 3.33x - 18
Answer:
The quantity of dried fruit of $ 3 per pound is 30 pounds
The quantity of dried fruit of $ 3.80 per pound is 50 pounds .
Step-by-step explanation:
Given as :
The price of one dried fruit = $ 3.00 per pound
The price of other dried fruit = $ 3.80 per pound
The total quantity of mix dried fruit = 80 pounds
The price of sell for mix dried fruit = $ 3.50 per pound
Let The quantity of dried fruit of $ 3 per pound = x pounds
And The quantity of dried fruit of $ 3.80 per pound = y pounds
Now , According to question
x + y = 80 pounds
And 3 × x + 3.8 × y = 3.5 × ( x + y )
Or, 3 x + 3.8 y = 3.5 x + 3.5 y
Or, 3.8 y - 3.5 y = 3.5 x - 3 x
or, 0.3 y = 0.5 x
Or, y = x
I.e y = x
Put the value of y in x + y = 80 pounds
I.e x = 80 - y
Or, x = 80 - x
Or, x + x = 80
or, x = 80
Or, x = 80
∴ x =
I.e x = 30
So,The quantity of dried fruit of $ 3 per pound = x = 30 pounds
Now, y = 80 - x
∴ y = 80 - 30
I.e y = 50
So,The quantity of dried fruit of $ 3.80 per pound = y = 50 pounds
Hence The quantity of dried fruit of $ 3 per pound is 30 pounds
And The quantity of dried fruit of $ 3.80 per pound is 50 pounds . Answer