<h3>
Answer: 40 inches</h3>
==========================================================
Explanation:
- x = first piece
- 2x = second piece, since its twice as long as the first
- 5x = third piece, since its five time as long as the first
x is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
--------
Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
The circle area times the depth gives the volume of a cylinder.
Radius is half diameter = 25 ft
Area circle = π(25)²
= 625π
multiply by depth to find volume.
= 625π(6)
= 11,781
I'd say C. is the closest. I don't round numbers until the end so if you round π to 3.14 it's probably the same
Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
54 balloons in each room
Step-by-step explanation: The answer is 54 because the company had 335 balloons, but then 11 exploded, so first you do 335-11=324. Lastly, you have to divide 324÷6, which gives you 54 balloons in each room
Could you maybe provide us with a better explantion or picture?
