Chelsea has 55 art brushes. She has this manu because Monique has 5 necause 11x5 is 55. 55 plus Monique's 5 is 60 brushes in total. Have a nice day :)
245 x 0.45 = 110.25
110.25 is your answer
hope this helps
Answer:
Volume of composit figure= 4834.14 cm^3
Step-by-step explanation:
here's your solution
=> Radius of hemisphere = 9 cm
==> volume of hemisphere = 2/3πr^3
==> volume of hemisphere = 2/3*22/7* 9^3
==> volume = 1526.04 cm^3
=> Radius of cylinder = 9 cm
=> Height of cylinder = 13 cm
==> volume of cylinder = πr^2h
==> volume of cylinder = 22/7*9^2*13
==> volume of cylinder = 3,308.1 cm^3
Volume of composit figure = 1526.04 + 3308.1
= 4834.14 cm^3
hope it helps
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The system of equations is given as
y=x^2-5x+7 - - - - - - - - - - 1
y=2x+1 - - - - - - - - - - - - - - 2
We would equate equation 1 to equation 2, it becomes
x^2-5x+7 = 2x+1
x^2-5x+7- 2x - 1 = 0
x^2-5x+7- 2x - 1 = 0
x^2 - 5x - 2x + 7 - 1 = 0
x^2 - 7x + 6 = 0
We would use the factorization method of solving quadratic equations.
x^2 - 6x - x + 6 = 0
x(x - 6) - 1(x - 6)
(x - 6)(x - 1) = 0
x - 6 = 0 or x - 1 = 0
x = 6 or x = 1
Substituting both values of x into equation 2, it becomes
For x = 6,
y=2×6 + 1 = 12 + 1 = 13
y = 13
For x = 1,
y=2 × 1 +1 = 2 + 1 = 3
y = 3
