Answer:
Step-by-step explanation:
x + y = 10
22x + 14y = 172
-22x - 22y = -220
22x + 14y = 172
-8y = - 48
y = 6 ceramic vases
x + 6 = 10
x = 4 glass vases
Answer:
53.33 mph
Step-by-step explanation:
Speed is the rate of change of distance with time. Mathematically,
speed = distance/time
and is measured in miles per hour or meter per second.
To get the average speed over the entire trip, we must get the total time spent on trip and the total distance, then apply the speed formula
Time for the first 300 miles
= 300/60
= 5 hours
Time spent on the last 100
= 100/40
= 2.5 hours
Total time of the trip = 5 + 2.5
= 7.5 hours
Total distance covered
= 300 miles + 100 miles
= 400 miles
Average speed on the trip
= 400/7.5
= 53.33 miles per hour
Answer:
50.27 units²
Step-by-step explanation:²
The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius. Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.
The formula for the area of a circle is A = πr².
Here, with r = 4, the area is A = π(4 units)² = 16π units², or
50.27 units² to the nearest hundredth.
Answer:
X = 0.75
Step-by-step explanation:
0.25[2.5x + 1.5(X-4)]= -X
0.25[2.5x + 1.5x - 6] = -x
0.25[4x -6] = -x
1x + x = 1.5
2x = 1.5
x = 1.5/2
x = 0.75
