2
A train was traveling at a constant speed. The table below shows the distance, in miles, the train traveled for the first 4 hours.
Time (hours) Distance (miles)
1
95
2.
190
3
285
4
380
Write an equation to represent the relationship between the time, and d, the total distance traveled by the train.

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

x-40°+x-20°+½x-10° = 180°

2x+½x -60°-10° = 180°

5/2 x - 70° = 180°

5/2 x = 180° + 70°

5/2 x = 250°

x = 250° × 2/5

x = 50° × 2

x = 100°

So the angles are

x-40° = 100°-40° = 60°

x-20° = 100°–20° = 80°

½x-10° = ½(100)° - 10° = 50° -10° = 40°

The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

60° + 80° + 40° = 100° + 80° = 180°

Answer:

1 quarts of red paint

2.4 quarts of blue paint

Step-by-step explanation:

Let :

a = quarts of blue paint

b = quarts of red paint

a + b = 3 2/5

a + b = 3.4 - - - (1)

Ratio of a and b :

a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4

a/b = 2.4

a = 2.4b - - (2)

From (1)

2.4b + b = 3.4

3.4b = 3.4

b = 1

a + b = 3.4

a + 1 = 3.4

a = 3.4 - 1

a = 2.4

Answer:

No, the given set of pairs does not represent a function

Step-by-step explanation:

For a set of values to be a function, each input must have one and only one output value

Now, for the given set, we can note that:

The input -13 has two output values; 4 and 9

Therefore, this set is not a function

Hope this helps :)

Step-by-step explanation:

ctg (25) = x / 7.3

2.1445 = x/ 7.3

x = 2.1445*7.3

x = 15.654

Answer:

the answer is 62.5/5=12.5

Answer:

12.5

Step-by-step explanation:

62.50 ÷ 5 = 12.5

Hope this helps!

Answer:

5x + 8 = 18

5x = 18 - 8

5x = 10 (divide both sides by 5 to get x)

5x/5 = 10/5

x = 2

Step-by-step explanation:

also can i get brainliest

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

Answer:

6x6x6, 3x3x3x3x3x3, 216

Step-by-step explanation:

6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.

Answer:

[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]

Step-by-step explanation:

[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

Answer:

1697.2 <3

i got it right

Answer:

You can use the formula 500 * 1.03^x to solve for any year.

year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

Step-by-step explanation:

The amount is increasing, and there are two main ways for that to happen.  Addition and multiplication.  So let's see if it keeps getting the same amount added or multiplied.  

0 to 1 goes from 500 to 515, so 15 is added.  but 15.45 is added from 1 to 2, so we can't just do simple addition.

using multiplication 0 to 1 has 1.03 multiplied.  if you multiply by it again you do get 530.45, so we have established what is happening.  

You can use the formula 500 * 1.03^x to solve for any year.

so year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

Mean is the average.

10 x 5 = 50

All 5 numbers need to add up to 50.

Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.

Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)

4 +3 = 7

14+16 = 30

1 set could be 3, 4 ,13, 14, 16

A 2nd set could be:

1 +2 = 3

16 + 18 = 34

1,2,13,16,18

Answer:

3/5.

Since the numerator is an even number, you can simply remove half of it.

Answer:

(a) 60.45 m2.

(b) 332.475 m^3.

Step-by-step explanation:

(a) area =  length * width

= 9750 * 6200

= 60450000 mm^2

There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2

= 60.45 m^2.

(b) The height in meters is 5500 / 1000 = 5.5 m

Volume = area of floor * height

= 60.45 * 5.5

= 332.475 m^3.

Answer:

your answer will be option C. 250

Step-by-step explanation:

hope it helps you

have a great day

Answer:

B

Step-by-step explanation:

Set up a proportion and see if it is true:

[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]

True, so they are similar.

The similarity statement would be QRS ~ QED

So B is the answer

Answer:

$24272.62

Step-by-step explanation:

Given data

Principal= $10,000

Rate= 3%

Time = 30 years

The expression for the compound interest is given as

A= P(1+r)^t

Substitute

A=10000(1+0.03)^30

A=10000(1.03)^30

A=10000*2.4272

A= 24272.62

Hence the final Amount A=$24272.62

Answer:

The given line has slope m=1

the perpendicular line MUST have slope -1

Since it MUST eat (-3,2), the intercept formula says

B = y - mx = 2 - (-1)(-3)  = 2 - 3 = -1

so the equation of the perpendicular line that eats point W is

y = -x -1

The lines y=x+3 and it's perpendicular y = -x-1 intersect at

  y = x+3 = -x-1

   2x+3 = -1

  2x = -4

  x = -2

THe intersection point is

(-2,1)

Finally by distance formula,

The distance between (-3,2) and (-2,1) is

 sqrt ( (-3 - -2)^2 + ( 2-1)^2)

= sqrt( (-3 + 2)^2 + (2-1)^2)

 = sqrt( (-1)^2 + 1^2)

  = sqrt ( 1+1)

 = sqrt(2)

Step-by-step explanation:

The distance between line l and the point E (-7, 0) will be;

D = 3.

What is distance between point and line?

The distance between a line ax + by + c = 0 and point (p, q) will be;

D = |ap + bq + c|/√a² + b²

Given that;

Equation of line;

y = -3

And, Point = E (- 7, 0)

Hence, The distance between a line and point is calculated as;

Equation of line;

y = -3

y + 3 = 0

Compare with ax + by + c = 0, we get;

a = 0, b = 1 and c = 3

And, Point = (p, q) = (-7, 0)

Thus, The distance between a line and point is;

D = |0 + 0 + 3|/√0+1

D = 3

So, The distance between line l and the point E (-7, 0) will be;

D = 3.

Learn more about the equation of line visit:

https://brainly.com/question/24656140

#SPJ2

Answer:

JN = 18.6

Step-by-step explanation:

Theorem:  The length of the midsegment of a trapezoid is the average of the bases.

[tex]JN = \frac{15.4 + 21.8}{2}[/tex]

       [tex]= \frac{37.2}{2}[/tex]

       = 18.6

See how easy that is when you know the theorem.

Answer: 12

Step-by-step explanation:

Given

The probability of getting yellow color is 0.24

If the no of trials is 50

[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]

Yellow color appears 12 times

Answer:

Yes, because the two triangles share common segments.

Answer:

Population  

Population estimates, July 1, 2019, (V2019) 6,829,174

Population estimates base, April 1, 2010, (V2019) 6,346,276

Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%

Population, Census, April 1, 2010 6,346,105

Age and Sex  

Persons under 5 years, percent 6.0%

Persons under 18 years, percent 22.1%

Persons 65 years and over, percent 16.7%

Female persons, percent 51.2%

Race and Hispanic Origin  

White alone, percent 78.4%

Black or African American alone, percent(a) 17.1%

American Indian and Alaska Native alone, percent(a) 0.5%

Asian alone, percent(a) 2.0%

Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%

Two or More Races, percent 2.0%

Hispanic or Latino, percent(b) 5.7%

White alone, not Hispanic or Latino, percent 73.5%

Population Characteristics  

Veterans, 2015-2019 431,274

Foreign born persons, percent, 2015-2019 5.1%

Housing  

Housing units, July 1, 2019, (V2019) 3,028,213

Owner-occupied housing unit rate, 2015-2019 66.3%

Median value of owner-occupied housing units, 2015-2019 $167,200

Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244

Median selected monthly owner costs -without a mortgage, 2015-2019 $388

Median gross rent, 2015-2019 $869

Building permits, 2019 41,361

Families & Living Arrangements  

Households, 2015-2019 2,597,292

Persons per household, 2015-2019 2.52

Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%

Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%

Computer and Internet Use  

Households with a computer, percent, 2015-2019 87.1%

Households with a broadband Internet subscription, percent, 2015-2019 78.4%

Education  

High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%

Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%

Health  

With a disability, under age 65 years, percent, 2015-2019 11.0%

Persons without health insurance, under age 65 years, percent 12.1%

Economy  

In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%

In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%

Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013

Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683

Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482

Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421

Total retail sales, 2012 ($1,000)(c) 91,641,605

Total retail sales per capita, 2012(c) $14,194

Transportation  

Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2

Income & Poverty  

Median household income (in 2019 dollars), 2015-2019 $53,320

Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859

Persons in poverty, percent 13.9%

BUSINESSES

Businesses  

Total employer establishments, 2018 138,269

Total employment, 2018 2,683,214

Total annual payroll, 2018 ($1,000) 125,736,019

Total employment, percent change, 2017-2018 1.3%

Total nonemployer establishments, 2018 539,987

All firms, 2012 550,453

Men-owned firms, 2012 302,249

Women-owned firms, 2012 195,694

Minority-owned firms, 2012 105,234

Nonminority-owned firms, 2012 434,025

Veteran-owned firms, 2012 59,379

Nonveteran-owned firms, 2012 469,392

GEOGRAPHY

Geography  

Population per square mile, 2010 153.9

Land area in square miles, 2010 41,234.90

FIPS Code

Step-by-step explanation:

Answer:

Step-by-step explanation:

It x=2

Answer:

if he wants to bike the same amount of miles each day he should bike 11 miles each day .

Step-by-step explanation:

subtract 14 - 80 = 66. 66 in 6 days is 11 each day