Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected 1.5x + 1.25y=105.5
step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
x + y = 78
step 3) solve for y in the second equation
y = 78 - x
step 4) substitute y = 78 - x in the first equation for the value of y and solve for x
1.5x + 1.25(78 - x)=105.50
1.5 x + 97.5 - 1.25x=105.50
.25x = 8
x = 32
step 5) plug in our value for x in the second equation and solve for y
x+y=78
32+y=78
y=46
answer 32 hamburgers and 46 hot dogs
Yes, because if you estimate, you get $52. Hope I helped, and have a great day! :-):
Answer:
184
Step-by-step explanation:
First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.
