Answer:
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Step-by-step explanation:
A 14 -pound mixture of coffee that contains both decaffeinated and regular coffee costs $37. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound.
Let the number of pounds of:
Decaffeinated coffee = x
Regular coffee = y
Hence, our system of equations =
x + y = 14..... Equation
x = 14 - y
2x + 3y = 37....... Equation 2
We substitute 14 - y for x in Equation 2
= 2(14 - y) + 3y = 37
= 28 - 2y + 3y = 37
= - 2y + 3y = 37 - 28
= y = 9 pounds
Solving for x
x = 14 - y
x = 14 - 9
x = 5 pounds
Therefore,
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Answer:
a. 3/13 or 23.08%
b. 1/13 or 7.69%
c. 1/4 or 25.00%
d. 1/52 or 1.92%
Step-by-step explanation:
Number of cards in a deck = 52
a. A face card
Considering there are four suits and each suit has three different face cards, the probability that the card is a cafe card is:
b. A queen
There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:
c. A spade
There are four suits with the same number of cards in a deck, therefore, the probability of getting a spade is:
d. A jack of spades
Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:
Answer:
32 inches
Step-by-step explanation:
This is a length and width question. Since it is a perfect cube the length and width are the same (8 inches). 8+8+8+8=32
Answer:
a) the possible value of money in my pocket will be $4.50
b) an inequality statement comparing the value of money in my pocket to $4
$4 < $4.50
c) equality comparing money in my pocket to $5 will be
$4.50 < $ 4
