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1 year ago

1. A bicycle that normally sells for $150 is on sale of 35% off. What is the sale price of the bicycle?

Mathematics

1 answer:

Ivan1 year ago

4 0

Answer:

The sale price would be $102.50

Step-by-step explanation:

To find this amount, start by multiplying the price by the sale percentage,

$150 * 35% = $47.50

Now subtract that amount from the original.

$150 - $47.50 = $102.50

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Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be model

ohaa [14]

Answer:

(2, 11/2)

Step-by-step explanation:

This is a vertical parabola; we know that because x is squared here, while y is not. The standard equation of a vertical parabola with vertex (h,k) is

4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus. Comparing

4p(y-k) = (x-h)^2 to

10(y-3) = (x-2)^2, we see that 4p = 10. Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.

Since the coordinates of the vertex are easily read from the given equation

(x-2)^2=10(y-3): (h,k) = (2, 3)

all we need to do is to add p (5/2) to the y-coordinate (3);

The focus is at (2, 3 + 5/2), or (2, 11/2).

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1 year ago

Cindy saves $420 each month . her monthly salary is $ 2100. what is the ratio of the amount cindy saves to the amount she earns

AfilCa [17]

I took the test the correct answer is 1:5.

7 0

1 year ago

Theresa has hired Chuck and Diana to paint a fence. Diana can paint 150 fence posts in the same time it takes Chuck to paint 130

Alenkasestr [34]

Answer: Chuck can paint 65 posts per hour.

Step-by-step explanation:

The data we have here is:

Diana can paint 150 fence posts in a time T

Chuck can pint 130 fence posts in a time T.

In one hour, Diana can paint 10 more fence posts than Chuck.

If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:

D = 150/T

C = 130/T

D = C + 10

we can replace the last equation in the first one and geT:

C + 10 =150/T

C = 130/T

Now we can replace the bottom equation in the above one:

130/T + 10 = 150/T

10 = 150/T - 130/T = 20/T

T*10 = 20

T = 20/10 = 2

So T is 2 hours, then whe have:

D = 150post/2hours = 75 posts per hour.

C = 130 posts/2hours = 65 posts per hour.

4 0

1 year ago

Think about all of the ways in which a circle and a parabola can intersect. Select all of the number of ways in which a circle a

forsale [732]

Answer:

A circle can intersect a parabola in

1. One point [ when circle just touches the parabola]

2. Two points [ When circle cuts the parabola in two distinct points. ]

3. Three points [Circle just touches at one point and cuts the parabola in two distinct points]

4. Four points [ Either parabola or circle meeting each other or crossing at four distinct points]

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2 years ago

Read 2 more answers

A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle

natali 33 [55]

Answer:

10.99 feet

Step-by-step explanation:

The arc length when an angle of 360° is made is the perimeter of the circle.

Perimeter = π*Diameter = π*30 = 94.25 ft

To know the arc length when an angle of 42° is made, we need to use the following proportion

94.25 ft / x ft = 360° / 42°

x = 42/360*94.25

x = 10.99 ft

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1 year ago