Answer:
a. -7 + 3
b. draw 7 negatives + 7 positives
Step-by-step explanation:
So find how much was eaten
1/6 and 2/3=eaten
add 1/6 and 2/3
convert bottom number to same
2/3=4/6
1/6+4/6=5/6
5/6 eaten
3-5/6=
2+1-5/6=
2+6/6-5/6=
2+1/6
2 and 1/6 waffles left
Answer: the group rented 11 Person tubes and 4 cooler tubes
Step-by-step explanation:
There are two types of tubes, Person tube and cooler tube.
Let P represent number of Person tubes that the group rented.
Let C represent number of Cooler tubes that the group rented.
The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information
P + C = 15 - - - - - - - 1
20P + 12.5C = 270 - - - -- - - 2
Substituting P = 15 - C into equation 2,
It becomes
20(15-C) + 12.5C = 270
300 - 20C + 12.5C = 270
- 20C + 12.5C = 270 -300
7.5C = - 30
C = 30/7.5 = 4
P = 15 - C
P = 15 - 4 = 11
Given :
Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.
To Find :
How many hours must have passed if there are 5 inches of rain .
Solution :
Let , after x hours rain accumulated is 5 inches .
We know , general equation of line :
y = mx +c
Here , m = 0.5 and c = 1 .
So , equation of rain accumulated is :

Now , putting value of x = 5 hours .
We get :

Hence , this is the required solution .
The formula for perimeter is 2(Length) + 2(width)
Fill in the known information:
22 = 2(6.5)+ 2(width)
Simplify:
22 = 13 + 2(width)
Subtract 13 from both sides:
9 = 2(width)
Divide both sides by 2:
Width = 4.5m