Answer:
$30
Step-by-step explanation:
30 % + 10 % = 40 %
40 % of $50 = $20
%50 - $20 = $30
The phrase has two parts:
Five times the sum of a number and eleven, divided by
three times the sum of the number and eight
Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)So, the overall expression will be:
Answer:
x>9
Step-by-step explanation:
-4x + 15 < -21
Subtract 15 from each side
-4x + 15-15 < -21-15
-4x < -36
Divide each side by -4, remembering to flip the inequality
-4x/-4> -36/-4
x >9
Answer:
sinθ =
Step-by-step explanation:
By applying Pythagoras theorem in the given triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
= (24)² + 7²
Hypotenuse = √625 = 25
By applying sine rule in the given triangle,
sinθ = 
Since, measure of opposite side = 24
Measure of hypotenuse = 25
Therefore, sinθ =
will be the answer.
Answer:
2 : 3
Step-by-step explanation:
Let,
Radius of cylinder 1 = R
Radius of cylinder 2 = r
Now,
We know that
Volume of cylinder = πr²h
=> πR²h/πr²h' = 20/27
=> R² × 5/r² × 3 = 20/27
=> R²/r² = 20/27 × 3/5
=> R²/r² = 4/9
=> R/r = √(4/9)
=> R/r = 2/3
=> R : r = 2 : 3