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Westkost [7]
3 years ago
10

The total cost of a cab from downtown to the airport is $80.20. If you give the driver a 25 percent tip for getting to the airpo

rt early, how much will the gratuity be
Mathematics
2 answers:
lidiya [134]3 years ago
4 0

80.20 x .25 = 20.05 tip


Mama L [17]3 years ago
4 0

Answer: 20.05

Step-by-step explanation:

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The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?
Rudiy27

Answer:

Step-by-step explanation:

57 divided by 6 = 7.5

9.5  x  8 = $76

7 0
2 years ago
The grocery store makes a 20% profit on baked goods. The profit for baked goods last month was $600. What was the total sales fo
torisob [31]

Let x = total sales of baked goods      remember 20% = .20 as a decimal

so the equation would be .20x = $600

divide both sides by .20

                                     .20x/.20 = $600/.20

           

                                                x = $3000 the total sales of baked goods

CHECK:  20% times $3000 = .20 times $3000 = $600

4 0
3 years ago
What is the length of the line?
elixir [45]
If you count the squares or units I got 12.
4 0
3 years ago
Which of the following is the solution to the equation below?
nasty-shy [4]

Answer:

B

Step-by-step explanation:

2x = 6+14

2x = 20

x = 10

8 0
2 years ago
Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotat
SpyIntel [72]

Answer:

a) The expression for the change in angular position is \theta = 5\cdot t.

b) The expression for the height of Ryan regarding the center of the Ferris wheel is H(t) = 40\cdot \sin (5\cdot t).

c) The expression for the height of Ryan above the ground is H(t) = 40\cdot \sin (5\cdot t) + 47.

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

<em>Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.</em>

<em>a)</em><em> Write an expression (in terms of t) to represent the varying number of radians </em>\theta<em> Ryan has swept out since the ride started.</em>

<em>b)</em><em> Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.</em>

<em>c)</em><em> Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground. </em>

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position (\theta), in radians:

\theta = \omega \cdot t (1)

Where:

\omega - Angular velocity, in radians per minute.

t - Time, in second.

If we know that \omega = 5\,\frac{rad}{min}, then the expression for the change in angular position is \theta = 5\cdot t.

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

H(t) = r \cdot \sin (\omega\cdot t) (2)

Where:

r - Radius of the Ferris wheel, in feet.

H(t) - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that \omega = 5\,\frac{rad}{min} and r = 40\,ft, then the expression for the height of Ryan regarding the center of the Ferris wheel is H(t) = 40\cdot \sin (5\cdot t).

c) We use the following geometric expression to model Ryan's height above the ground:

H(t) = r\cdot \sin (\omega\cdot t) +h_{o} (3)

Where h_{o} is the height of the center of the Ferris wheel above the ground, in feet.

If we know that h_{o} = 47\,ft, \omega = 5\,\frac{rad}{min} and r = 40\,ft, then the expression for the height of Ryan above the ground is H(t) = 40\cdot \sin (5\cdot t) + 47.

5 0
3 years ago
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