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IRINA_888 [86]
3 years ago
11

Lola rode her bike for 7/10 of an hour on saturday and 3an hour on sunday.how much longer did she ride her bike on saturday than

sunday
Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0
She rode 2 and 3/10 more hours
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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
What is the slope of the line that passes through (-2,5) and (1,4)?<br> -3<br> -2<br> -1/3<br> 1/3
SIZIF [17.4K]

slope = m=(y2-y1)/(x2-x1)

m= (4-5)/(1-(-2))

m= -1/(1+2)

m=-1/3

Choice C

 

7 0
3 years ago
Translate the following statement into a mathematical equation:
sleet_krkn [62]
(6+4)n =18 is the answer
8 0
3 years ago
Read 2 more answers
The residence of a city voted on whether to raise property taxes the ratio of yes votes to know votes was 5 to 6 if there was 58
Akimi4 [234]
5/6:x/5844

Cross multiply to get
29220=6x
x=4870

4870+5844=

10714 votes

Hope this helped :)
7 0
2 years ago
HELP ASAP I HAVE TO GET IT DONE<br><br><br> Solve for x in the diagram below
MA_775_DIABLO [31]

Answer:

x = 35

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Geometry</u>

  • Definition of a Line: A line is 180°

Step-by-step explanation:

<u>Step 1: Set up equation</u>

40° + (2x + 30)° + 40° = 180°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    2x + 110 = 180
  2. Subtract 110 on both sides:         2x = 70
  3. Divide 2 on both sides:               x = 35
7 0
3 years ago
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