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Alla [95]
3 years ago
10

Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

B

Step-by-step explanation:

Have a good day!

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A salesperson is driving from the office to a client, a distance of about 250 kilometers. After 45 minutes, the salesperson pass
ludmilkaskok [199]
<span> <span>Speed is calculated as distance covered, divided by the time taken to cover that distance. In this case, the sales person covered 50KM in 45minutes (which can also be expressed as 3/4 hours). To calculate the speed he used to cover this distance, we divide the distance covered by the time taken. So 50km/3/4hours. This gives us 66.67km/hr. In order to calculate the amount of time the salesperson used to travel from the office to the sales person, we calculate as follows 250km/66.67km/hr. This gives us a total of 3.75 hours or 3 hours 45 minutes.</span></span>
7 0
3 years ago
40. What is the system of inequalities associated with the following graph?
SpyIntel [72]

Answer:

The bottom answer

Step-by-step explanation:

4 0
3 years ago
The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc
masya89 [10]

Answer:

Therefore the angle of intersection is \theta =79.48^\circ

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

r_1(t)=(2t,t^2,t^4)

and r_2(t)=(sin t , sin5t, 2t)

To find the tangent of a carve , we have to differentiate the carve.

r'_1(t)=(2,2t,4t^3)

The tangent at (0,0,0) is     [ since the intersection point is (0,0,0)]

r'_1(0)=(2,0,0)      [ putting t= 0]

|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2

Again,

r'_2(t)=(cos t ,5 cos5t, 2)

The tangent at (0,0,0) is    

r'_2(0)=(1 ,5, 2)        [ putting t= 0]

|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}

If θ is angle between tangent, then

cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}

\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }

\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }

\Rightarrow cos \theta =\frac{1}{\sqrt{30} }

\Rightarrow  \theta =cos^{-1}\frac{1}{\sqrt{30} }

\Rightarrow  \theta =79.48^\circ

Therefore the angle of intersection is \theta =79.48^\circ.

8 0
3 years ago
The quotient of 24 and x equals 14 minus 2 times x (into an equation don’t solve)
Katen [24]

Answer:

24 / x = 14 - 2x

Step-by-step explanation:

Quotient means division (÷ or /)

Quotient of 24 and x = 24 ÷ x

24 ÷ x is equivalent to 24 / x

14 minus 2 times x = 14 - 2x

So, the equation is

24 / x = 14 - 2x

7 0
2 years ago
¾×⅙ I just bent gets it or how to model it
Aleks [24]

Answer:

3/24 or .125%

Step-by-step explanation:

3 0
2 years ago
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