Answer:
Each will receive 
of the cake.
Step-by-step explanation:
Let the amount of cake = c
Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.
Number of persons = 3
Part of the cake shared = 
Fraction of the cake shared by each = 
= 
= 
Therefore, fraction of total cake shared by each member will be 
of the total amount of cake.
Answer:
A. (−3,5)
Step-by-step explanation:
The rule for dilation by scale factor k is given by:
The given point is P(-3,5) and the scale factor is k=1
We substitute the point and the scale factor into the rule to get:
This gives us:
The correct answer is A
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Blue tripp:
Hikes 2/3 miles every 1/2 hour
Yellow troop:
Hikes 3/4 miles every 1/3 hour
How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?
To hike 1 1/2 miles
Blue troop:
2/3 miles = 1/2 hours
3/2 miles = x
2/3x = 3/4
x = 3/4 * 3/2
x = 9/8 = 1 1/8 hours
Yellow troop:
3/4 = 1/3 hours
3/2 = x
3/4x = 3/6
x = 3/6 * 4/3
x = 12/18 = 2/3 hours
To hike 1/2 mile :
Blue troop:
2/3 miles = 1/2 hours
1/2 miles = x
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 hours
Yellow troop:
3/4 = 1/3 hours
1/2 = x
3/4x = 1/6
x = 1/6 * 4/3
x = 4/18 = 2/9 hours
To hike 3/4 miles :
Blue troop:
2/3 miles = 1/2 hours
3/4 miles = x
2/3x = 3/8
x = 3/8 * 3/2
x = 9/16 hours
Yellow troop:
3/4 = 1/3 hours
3/4 = x
3/4x = 3/12
x = 1/4 * 4/3
x = 4/12
x = 1/3 hours
The ratio of x:y:z = 20:8:11
Total unit = 20+8+11 = 39
Value of 1 unit ratio = 78/39 = 2
So, the water in container X, 20(2) = 40 liters
Your answer is 40 liters
Divide by 3 and you get m^2-81 so then factor and get 3(m+9)(m-9)
