You have 13 cards that are hearts and a deck of 52. So you do
13/52(fraction) x 13/52 (fraction) x 13/52(fraction) = 1/64 simplified answer
Answer:
Option (2) [Graph on the top right]
Step-by-step explanation:
To find the temperature decrease by 0.5 degrees every hour we will find the slopes of the lines given in every option.
Option (1) [Top left graph]
Slope = 
= 
= -10
Option (2) [Top right]
Slope = 
= -0.5
Option (3) [Bottom left]
Slope = 
= -1
Option (4) [Bottom right]
Slope = 
= -12
Therefore, Graph given in option (2) will represent the decrease in temperature by 0.5 degrees per hour.
Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
Answer:
(4,2)
Step-by-step explanation:
Change the signs of the x and y value
(-4,-2) > (4,2)