Find the measure of the Arc or central angle indicated. Assume that lines which appear to be diameters are diameter?

Company A charges a fee of $5 for a cab ride, plus a charge of $0.50 for each mile driven. Company B charges a fee of $10 for a

Blababa [14]

Each set of prices can be described by a linear function. In this case, Company A would be y = 5 + .5x, where y is the fare and x is the number of miles driven. Similarly, Company B would b y = 10 + .1x. The definition of intersection tells us that two lines interstect only at that point where their x and y coordinates are identical, which means, of course, that their y coordinates will be identical. So to find the point of intersection we can examine the point where the y coordinates are the same. Which is to say, where 5 + .5x = 10 + .1x. We can simplify this to .5x - .1x = 10 - 5, then .4x = 5, and finally, x = (5/.4) = 12.5. In other words, the fares will be equal when the miles driven is 12.5

8 0

3 years ago

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A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile travel

Alchen [17]

c =0.20m + 2.00

Where c is the cost and m = number of miles,

For a 2.7 mile ride, m = 2.7

c = 0.20m + 2.00, m = 2.7

c = 0.20*2.7 + 2

c = 0.54 + 2

c = 2.54

Charge for the ride = $2.54

I hope this helps.

6 0

3 years ago

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An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a

belka [17]

Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s

4 0

3 years ago

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Marlene is solving a number puzzle involving three rational numbers a, b, and c. Here are her clues:

rusak2 [61]

A/c = 8.....a = 8c
a * c = 2 ...a = 2/c
a/b = -16 ...a = -16b
a * b = -1....
b/c = -0.5

2/c = 8c
2 = 8c^2
1/4 = c^2
sqrt 1/4 = c
0.5 (or 1/2) = c <===

a * c = 2
0.5a = 2
a = 2/0.5
a = 4 <===

a = -16b
4 = -16b
4/-16 = b
-1/4 (or - 0.25) = b <===

5 0

2 years ago

Find the product and write ot in the lowest terms. 6 over 7 × 9 over 4

Nikitich [7]

Answer:

27/14

Step-by-step explanation:

you can cross multiply and simplify before you start. that way it makes it a lot easier

7 0

3 years ago