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2 years ago

Umm how to do rates

1 answer:

6 0

The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.

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Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition

Monica [59]

Answer:

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

Step-by-step explanation:

$\left \{ {{10x+13y = 1125} \atop {-2x+7y = 495}} \right.$

x=14

Boomer: 10(14)+13y=1125

140+13y=1125

13y=1125-140

y= 985/13

y= 75.77 (75.77 millions of boomers in 2014)

Millenials: -2(14) +7y = 495

-28 +7y = 495

7y= 495+28

y= 523/7

y=74.71 (74.71 millios on millenials in 2014)

In 2014 the population of boombers were still greater than the population of millennials

The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.

Boomers: 10x+13y = 1125

y= (-10x +1125)/13

Millenials: -2x+7y = 495

y= (2x+495)/7

We match both expressions of "y"

(-10x +1125)/13 =(2x+495)/7

cross multiply:

(-10x +1125)*7 =(2x+495)*13

-70x + 7875 = 26x + 6435

we group similar terms:

7875 -6435 = 26x+70x

1440 = 96x

x= 1440/96

x= 15

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

4 0

3 years ago

chloe is 5 feet 4 inches tall. There are 2.54 centimeters in 1 inch. What is chloes heigh in centimeters

Margarita [4]

Answer: 162.56 cm

Step-by-step explanation:

5 feet 4 is 64 inches

2.54 • 64 = 162.56

Chloe is 162.56 cm tall

8 0

3 years ago

Read 2 more answers

An experiment involves flipping a coin three times.

goblinko [34]

50/50 change because your only flipping it 2

4 0

3 years ago

Can someone help me with this? And ty

klemol [59]

Answer:

Step-by-step explanation:

4 0

3 years ago

Determine which function(s) are exponential. Select all that apply.

Travka [436]

Answer:

option B and option C represent an exponential function.

Step-by-step explanation:

We know that following are some of the properties of different functions.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

Determining the nature of the exponential function

Option A)

x 0 1 2 3 4

y 0 1 4 9 16

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

1/0 = ∞, 4/1 = 4, 9/4 ; 16/9

Thus,

Table A DOES NOT represents an exponential function.

Option B)

x 0 1 2 3 4

y 1/3 1 3 9 27

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

There is also a constant ratio, as

1/[1/3] = 3, 3/1 = 3, 9/3 = 3; 27/9 = 3

As there is constant change in x as well a constant ratio.

Thus,

Table B REPRESENTS an exponential function.

Option C)

x 0 1 2 3 4

y 5 5/2 5/4 5/8 5/16

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

There is also a constant ratio, as

[5/2]/5= 1/2,

[5/4]/[5/2] = 1/2

[5/8]/[5/4] = 1/2

[5/16]/[5/8] = 1/2

As there is constant change in x as well a constant ratio.

Thus,

Table C REPRESENTS an exponential function.

Option D)

x 0 1 2 3 4

y 4.5 4 3.5 3 2.5

Here:

There is a constant change in x:

1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

4/4.5 = 4/[45/10] = 40/45 = 8/9

3.5/4 = [35/10]/4 = 35/40 = 7/8

3/3.5 = 3/[35/10] = 30/35 = 6/7

2.5/3 = [25/10]/3 = 25/30 = 5/6

Table D DOES NOT represent an exponential function.

Conclusion:

Therefore, option B and option C represent an exponential function.

3 0

2 years ago