The <em>correct answer</em> is:
6 balloons.
Explanation:
Let x represent the number of balloons purchased.
We will call the function for Clowns R Fun c(x):
c(x) = 1.25x+6
We will call the function for Singing Balloons s(x):
s(x) = 1.95x+2
We want the amount for Clowns R Fun, c(x) to be less:
c(x) < s(x)
1.25x+6 < 1.95x+2
Subtract 1.25x from each side:
1.25x+6-1.25x < 1.95x+2-1.25x
6 < 0.7x+2
Subtract 2 from each side:
6-2 < 0.7x+2-2
4 < 0.7x
Divide each side by 0.7:
4/0.7 < 0.7x/0.7
5.7 < x
x > 5.7
She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.
Let's assume the frequency of sound be f and wave length is w.
Given that, the frequency of sound varies inversely as the wavelength.
So, we can set up an equation as following:
f*w = k Where k= constant of variation.
Other information is, the frequency of a musical note is 276 cycles per second when the wavelength is 1.2m.
So, next step is to plug in f = 276 and w = 1.2 in the above equation to get the value of k.
276 * 1.2 = k
So, k = 331.2
Next step is to plug in k = 331.2 in the above equation. So,
f * w = 331.2
Now we need to find the wave length : w when frequency : f = 600.
Therefore,
600 * w = 331.2
So, w = 0.552
Hence, the wave length is 0.552 m.
Hope this helps you!.
Answer:
13✓7
Step-by-step explanation:
5✓28 + ✓63
Break the radical into perfect squares.
5 times ✓4 times ✓7 + ✓9 times ✓7
5 times 2 times ✓7 + 3 ✓7
10✓7 + 3✓7
13✓7
Answer:
The answer to your question is t = 1.3 s
Step-by-step explanation:
Data
Equation h(t) = -4.9t² + v₀t + h₀
v₀ = 0 m/s
h₀ = 8 m
t = ?
h = 0 m
Process
1.- Substitute the values in the formula
0 = -4.9t² + 0t + 8
2.- Simplification
0 = -4.9t² + 8
3.- Solve for t
4.9t² = 8
t² = 8/4.9
t² = 1.63
4.- Result
t = 1.27 ≈ 1.3 s
Answer:
the correct answer is Y=-x-3
