The first given equation is:
4y + 1 = x .......> equation I
The second given equation is:
2x = 5y .......> equation II
Substitute with equation I in equation II to get the value of y as follows:
2x = 5y
2(4y+1) = 5y
8y + 2 = 5y
8y - 5y = -2
3y = -2
y = -2/3
Substitute with the value of y in equation I to get the value of x as follows:
x = 4y + 1
x = 4(-2/3) + 1
x = -5/3
Based on the above calculations:
x = -5/3
y = -2/3
Answer:
V = 432pi cm^3
Step-by-step explanation:
Pi x r^2 x h
Pi x 6^2 x 12 cm = 432 pi cm^3
Answer:
see explanation
Step-by-step explanation:
(a)
(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )
x² = 12² + 15² - (2 × 12 × 15 × cos71°)
(b)
x² = 144 + 225 - 360cos71°
= 369 - 360cos71° ( take square root of both sides )
x = 
≈ 16 cm ( to the nearest integer )
The multiplication sign because "6 teaspoons of flour per pancake (6x) 10 pancakes she want to make (6x10=60) 60 tablespoons of flour!