Beverages inc. sells espresso for 8.50 per pound and roasted coffee for 10.25 per pound. the following equations represent a recent online purchase. x+y=5 and 8.5x+ 10.25y=46. which of the following is true?
a. the variable x represents represents the pounds of roasted coffee in the 46$ purchase.
b. the variable y represents the pounds of roasted coffee in the 46$ purchase
c. the consumer spent 46$ and purchase 5 pounds of espresso
d. the consumer spent 46$ and purchase 5 pounds of roasted coffee

B. the variable y represents the pounds of roasted coffee in the 46$ purchase.

Step-by-step explanation:

Given: The rate of espresso = $8.50 per pound

The rate of coffee = $10.25 per pound

The equation represents a online purchase.

............(1)

and .................(2)

from equation (2), 8.5 is the coefficient of x, thus variable x represents the pounds of espresso and 10.25 is the coefficient of y, thus variable y represents the pounds of roasted coffee in the total purchase of $46.

And equation (1) represents the total pounds of espresso and roasted coffee.

Hence only option B is correct.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.