Answer : -3/4 ..............
Answer:
156 cm3
If the length is 8cm and the base is 13cm and the prism height is 3cm
20/110 because there's 20 kids in her third period but 110 overall hope I helped in time
Answer:
480 miles.
Step-by-step explanation:
Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.
We have been given that there was heavy traffic on the way there, and the trip took 12 hours.
We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.
So Maria's speed while returning back would be 
.
Upon equating both distances, we will get:
Upon substituting in equation , we will get:
Therefore, Maya live 480 miles away from the mountains.
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
