Answer:
48
Step-by-step explanation:
Answer:
Then the answer to the system is the point (-1, 3)
which corresponds to x = -1 and y = 3
Step-by-step explanation:
Start by dividing the first equation by 3 on both sides, and get:
x + y = 2
now multiply it by 5 in order to be able to eliminate the term in y in the combining of both equations:
5 x + 5 y = 10
+
9 x - 5 y = - 24
___________
14 x + 0 = -14
solve for x by dividing both sides by 14:
x = -14/14 = -1
Use the x = -1 answer in the equation 3 x + 3 y = 6 and solve for y:
-3 + 3 y = 6
add 3 on both sides:
3 y = 9
divide both sides by 3 to isolate y:
y = 3
Then the answer to the system is the point on the plane (-1, 3)
which corresponds to x = -1 and y = 3
Answer:
220,781.25 cubic cm
Step-by-step explanation:
Given ratio of the diameters = 15:11
Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11
Given that smaller one has diameter of 55cm
thus 11x = 55cm
x = 55/11 cm = 5
Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.
we know that radius is half of diameter
Radius = diameter/2
Thus radius of larger ball = 75/2 cm = 37.5 cm.
Volume of sphere is given by
we know that ball has spherical shape
thus volume of larger ball is calculated as given below
Thus, volume of larger ball is 220,781.25 cubic cm
Just set up the equation and solve for x, that is the time.
40(0.9-x) = 5x
36 = 45x
x = 36/45
x = 0.8
It took Talia 0.8 hours (48 minutes) to walk home.