Just press this into your calculator
Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
Yes 28/30 is bigger than 4/5.
Answer:
Volume of square based pyramid = 116.62 cm³
Step-by-step explanation:
Given:
Perimeter of square base = 16.9 cm
Height of pyramid = 19.6 cm
Find:
Volume of square based pyramid
Computation:
Perimeter of square base = 16.9 cm
4[Side] = 16.9
Side = 4.225 cm
Area of square = Side x Side
Area of square = 4.225 x 4.225
Area of square = 17.85 cm²
Volume of square based pyramid = [Area of square][Height of pyramid] / 3
Volume of square based pyramid = [17.85][19.6] / 3
Volume of square based pyramid = 349.86 /3
Volume of square based pyramid = 116.62 cm³