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Setler [38]
3 years ago
8

A group of friends went to lunch. The bill, before sales tax and tip, was $35.25. The group then tipped 18% on the amount after

the sales tax was added. A sales tax of 7.5% was added.
Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

I don't have friends so I don't know

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Which ordered pairs are solutions to the inequality 4x+y>-6
Lilit [14]

Answer:

(-1.5, 0) and (0, -6)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If θ=0rad at t=0s, what is the blade's angular position at t=20s
babunello [35]
The attached figure represents the relation between ω (rpm) and t (seconds)
To find the blade's angular position in radians ⇒ ω will be converted from (rpm) to (rad/s)
              ω = 250 (rpm) = 250 * (2π/60) = (25/3)π    rad/s
              ω = 100 (rpm) = 100 * (2π/60) = (10/3)π    rad/s

and from the figure it is clear that the operation is at constant speed but with variable levels
            ⇒   ω = dθ/dt   ⇒   dθ = ω dt

            ∴    θ = ∫₀²⁰  ω dt  
 
while ω is not fixed from (t = 0) to (t =20)
the integral will divided to 3 integrals as follow;
       ω = 0                                          from t = 0  to t = 5
       ω = 250 (rpm) = (25/3)π            from t = 5   to t = 15
       ω = 100 (rpm) = (10/3)π            from t = 15 to t = 20

∴ θ = ∫₀⁵  (0) dt   + ∫₅¹⁵  (25/3)π dt + ∫₁₅²⁰  (10/3)π dt
     
the first integral = 0
the second integral = (25/3)π t = (25/3)π (15-5) = (250/3)π
the third integral = (10/3)π t = (25/3)π (20-15) = (50/3)π

∴ θ = 0 + (250/3)π + (50/3)π = 100 π

while the complete revolution = 2π
so instantaneously at t = 20
∴ θ = 100 π - 50 * 2 π = 0 rad

Which mean:
the blade will be at zero position making no of revolution = (100π)/(2π) = 50
















3 0
3 years ago
Solve for p P-17=2p+3
Y_Kistochka [10]

Answer:

-20

Step-by-step explanation:

P-17=2P+3

P-2P=17+3

-P=20

Divide both sides by negative 1

P=20

7 0
3 years ago
Amy rolled a 10-sided die number 1-10 what is the probability she rolls a number divisible by 4?
PSYCHO15rus [73]
The probability is 1/5, or 20%.
Explanation there are only 2 numbers on the die divisible by 4, those being 4 and 8, therefore 2/10 which simplifies to 1/5 or 20% I hope this helps :)
3 0
3 years ago
Juanita and lauren are painting a circular mural on one wall of the community center. The area of the mural is 33 square meters
tangare [24]

Answer:

The radius is 3.24102 meters

Step-by-step explanation:

We are given

area of mural is 33 m^2

Since, the shape of mural is circular

Let's assume radius of circle as 'r'

so, we can use area of circle formula

A=\pi r^2

now, we can set A=33

and then we can solve for r

33=\pi r^2

we get

r^2=\frac{33}{\pi }

r=3.24102

So,

The radius is 3.24102 meters


8 0
3 years ago
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