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Blababa [14]
3 years ago
7

A group bike tour cost $75 plus $12 per bike rental .Write an equation to represent this linear relationship

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

Y =  12 x + 75

Step-by-step explanation:

y = total cost of the tour

x = how many bikes rented

75 = tour cost for a group

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A red card is drawn from a standard deck of 52 playing cards. If the red card is
creativ13 [48]

Answer: 26/51

Step-by-step explanation:Half of the 52 cards are black, and if you remove the one red card there are only 51 cards left, so the answer is 26 lack cards/52 total cards.

8 0
3 years ago
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The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the funct
Dovator [93]

Answer:

a) Sketch the graph of the function f. (it is in the attached file)

b) What was the ratio at the beginning of 2006? At the beginning of 2014?

For 2006 the ratio is 3.92

For 2014 the ratio is 3.5

c) Over what years is the ratio constant?

[1995, 2000]

d) Over what years is the decline of the ratio greatest?

[2010, 2030]

Step-by-step explanation:

b) We first need to know in between which function 2006 falls into, so if we start in t=0=1995, then 2006-1995=11, t=11

t=11 fall into:

f(x)=-0.03t+4.25

f(11)=-0.03(11)+4.25=3.92

For 2006 the ratio is 3.92

2014:

Same process that 2006, t=0=1995, then 2014-1995=19, t=19

t=19fall into:

f(x)=-0.075t+4.925

f(19)=-0.075(11)+4.925=3.5

For 2014 the ratio is 3.5

c) The ratio is only constant in the first section of the graph 0≤t<5, since 4.1 is constant. Following the same process for the years in star (b) we have t=0, 1995+0=1995, t=5, 1995+5=2000.

The ratio will be constant between [1995, 2000]

d) For the greatest decline we need to compare slopes. From the line equation we have:

y(x)=mx+b where m is the slope and b is the point the line intersects with the y axis. Here we have:

f(x)=-0.03t+4.25  for 5≤t<15

f(x)=-0.075t+4.925  for 15≤t≤35

So:

m=-0.03 for 5≤t<15

m=-0.075 for 15≤t≤35

If we are measuring the steepness of the decline, we have to compare:

|-0.03| and |-0.075| or 0.03 and 0.075, easily finding that 0.075>0.03

And doing the sames process for the years in question (c):

t=15, 1995+15=2010, and t=35, 1995+35=2030

This means that the biggest decline is between the years:

[2010, 2030]

3 0
3 years ago
Round 492.3069 to the nearest thousandth
Llana [10]
The answer is 492.307
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4 0
3 years ago
Ace scored 3 baskets in his second game of the season. This was 2 less than his first game. What was the percent change between
Alex_Xolod [135]

Answer:

2% different

Step-by-step explanation:

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What is an ordinary annuity?
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Answer:

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Step-by-step explanation:

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