A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?

Answers

Answer 1

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]


Related Questions

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

find the value of x - PLEASE HELP

I need to show my work -

Thank you!!

Answers

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

find the sum of the series 9+3+1+........+1/27​

Answers

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

 

The nth term is a1rn-1.

 

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

 

                                32(3-1)n-1 = 3-3

 

                                3231-n = 3-3

 

                                    33-n = 3-3

 

                                      3-n = -3

 

                                         n = 6

 

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

 

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

 

                                              = 9(1 - 1/729) / (2/3)

 

                                              = (27/2)(728/729) = 364/27

pleaseeeeeeeeeeeeeeeee solve this

Answers

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

y=3x y=18 solve for x

Answers

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

X=6 because if you are trying to get the answer to 18 then you would do 18=3x and 18 decided by 3 is 6. And 6*3=18

The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0




please help quickly​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent

Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?

Answers

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

simply the following 2m⁵×5m³×7m²​

Answers

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

Determine the measure of ∠Z. images attached

Answers

Answer:

The answer is option D

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z

To find the value of ∠Z we use tan

We have

[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]

We have the final answer as

48.24°

Hope this helps you

Answer:

the answer is B)41.76

Step-by-step explanation: I took the test

How many 3/20 inch lengths are in 5 2/5 inches?

Answers

Answer:

0.81

Step-by-step explanation:

Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?

Answers

Answer - 11

I’m assuming you’re trying to find the line AB (basically the distance between point A and B). If that’s the case, since they both have the same x vale, subtract their y values. 14-3 gives you 11, which is the length of line AB

Which statement is true about the transformation?

Answers

An

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.

if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.

Answers

I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.

Answer:

n=31°

Step-by-step explanation:

If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.

We can see that angles 2 and 3 form a right angle, or:

[tex]m\angle 2 + m\angle 3=90^\circ[/tex]

We are also given that:

[tex]m\angle 2=2n-4[/tex]

[tex]m\angle 3=n+1[/tex]

Substituting (get rid of the units):

[tex]2n-4+n+1=90[/tex]

Joining like terms:

[tex]3n-3=90[/tex]

Adding 3:

[tex]3n=90+3=93[/tex]

Solving:

[tex]n=93/3[/tex]

n=31°

Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?

Answers

8. 63-15=48 48 divided by 6=6

A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x

Answers

Answer:

the answer to the question is A

An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:

y = 4(3)²ˣ

Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números

Answers

Answer: ±4 y ±6

Step-by-step explanation:

Algunas definiciones:

Sea N un numero real.

El cuadrado de un numero es:

N^2.

Ahora, nos dicen que N es par, entonces podemos escribir:

N = 2*n

donde n es un numero entero.

Y el par consecutivo a N, va a ser M = N + 2.

M = 2*n + 2.

Entonces:

"La suma de los cuadrados de dos números reales pares consecutivos es 52"

(2n)^2 + (2n + 2)^2 = 52

Tenemos que resolver esto para n.

4n^2 + 4n^2 + 8n + 4 = 52

Entonces tenemos una ecuación cuadrática:

8*n^2 + 8n + 4 - 52 = 0

8*n^2 + 8n - 48 = 0

Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:

(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.

Ahora resolvamos esto para n, las dos soluciones son

[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]

Entonces las dos soluciones son:

n = (-1 - 5)/2 = -3

n = (-1 + 5)/2 = 2

Entonces, si tomamos la primer solucion, los numeros consecutivos son:

N = 2*-3 = -6

M = N + 2 = -4

Si tomamos la segunda solucion, n = 2.

N = 2*2 = 4.

M = N + 2 = 6.

Entonces podemos concluir que las soluciones son:

±4 y ±6

(8x + 6) ° = ___°
8x =
x =

Answers

Answer:

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²

Answers

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.

Answers

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

BRAINLIST!!!!!!!!!
which one is a function???

Answers

Answer: C

i hope this helps

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

what’s the quotient of -21/-3?

Answers

Answer:

7

Step-by-step explanation:

When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.

Help I need help on this question

Answers

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x

Answers

I’m gonna guess and say B

Heeeeeeeeelp if u can but pls help

Answers

Answer:

16 units squared

Step-by-step explanation:

shbajabdhskan

Answer:

10

Step-by-step explanation:

It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?

Answers

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.

Answers

Answer:

Anand can afford is 6hours

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Given the points: (-2, 0) and (4,8) find the slope

Answers

Answer:

1&1/3

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(8 - 0) / (4 +2)

8/6

1 1/3

PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).

Answers

Answer:

y=4x+1

Step-by-step explanation:

I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.

Answer:

y - 1 = 4 ( x - 0 )

Step-by-step explanation:

point slope form

Other Questions
5/680 long divison explanation A student has a container of sand and sugar. What characteristic could be used to separate the mixture? need these 3 problems answered1.(2x-3)^2+24=02.(3x+1)^2-49=03.3x^2-12x=-45 Selected Information from Balance Sheets (As of Year End for Years 0 and 1) Year 0 Year 1 Cash 1,000 2,000 Accounts Receivables 1,000 5,000 Inventory 5,000 4,000 Property, Plant and Equipment (net) 12,000 11,000 Accounts Payable 5,000 4,000 Unearned Revenue 2,000 1,000 Bonds Payable 5,000 6,000 Common Stock 3,000 4,000 Retained Earnings 5,000 7,000 Income Statement (Year 1) Sales 20,000 Costs of Goods Sold (8,000) Wage Expense (4,000) Depreciation Expense (2,000) Loss from PP&E Sale (1,000) Net Income Before Tax 5,000 Tax Expense (2.000) Net Income 3.000 In the space provided, prepare the Operating section of the statement of cash flow for Year 1, using the indirect approach. Most technicians start as an______ technician before acquiring the skills necessary to become a line technician. The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads? Which choice best shows a proper noun replaced by a common noun, AND a common noun replaced by a proper noun? A) Day after day after day, the main street and the park in town stood deserted. B) My sister and I stayed in shady corners and in front of old plastic fans. C) Day after day after day, Main Street and the park in town stood deserted. D) Sid, my sister, and I stayed in shady corners and in front of old plastic fans. HII!! I NEED HELP ASAP :D What was the last major battle of the war where General Cornwallis surrendered to George Washington?A. PrincetonB. TrentonC. CharlestonD. YorktownOn what date did the treaty of Paris become official?A. April 10 1782B. June 11 1782C. July 14 1783D. Sep. 3 1783As part of the treaty, the Americans got fishing rights in the.. A. Gulf of st lawrence and off the coast of newfoundlandB. Gulf of MexicoC. Caribbean SeaD. English ChannelAs a part of the treaty, Spain got..A. CanadaB. FloridaC. Cuba When applying to college, it pays to ask for help and advice from people who have already gone. Which of the following people could be a useful resource during the college application process?A.) TeachersB.) PrincipalsC.) Guidance CounselorsD.) All of the above Because there are so many people in the United States, each state is divided into smaller sections, called districts. Each district elects a representative to voice the peoples opinions in Congress. This is a more efficient way for people to voice their opinions.Which principle of government is reflected by the statement above?a federalismb republicanismc separation of powersd limited government Which Is The Correct Classification And Decimal Expansion of 3/8 Read the excerpt from chapter 6 of Lizzie Bright and the Buckminster Boy. "May I ask why? Or is this something else that wasn't intended to embarrass the new minister?" "Because I wanted to know if it was true." "If what was true?" "If Lizzie was lying to me. If all she wanted to do was to get me on her side so she wouldn't have to leave the island." Reverend Buckminster sighed. "It doesn't matter if it's true. It matters what people think. It matters that my congregation can tell me what to think when my son goes out to visit a Negro girl on Malaga Island. It doesn't matter at all how she got you out there." "It matters to me," Turner whispered. "Speak up!" Based on the dialogue between Turner and his father, what conclusion can be drawn about Reverend Buckminster? He believes that his son cannot be trusted. He cares greatly about the opinions of others. He feels that Lizzie will be a bad influence. He dislikes everyone living on Malaga Island. PLEASEEE HELP IM IN 6TH GRADE I need to turn this in by tomorrow!!!!! PLEASE HELP ME. when we observe an organism or environment what are we observing A. changes B. similarities C. colors Carlos or Jane usually (know , knows) The answers to most of the questions on the radio music quiz show Name the starred note on the pianoPLEASE help I dont understand this and this is on a timed test!! Thank u! Consider the following scenario:Cold Goose Metal Works Inc.s income statement reports data for its first year of operation. The firms CEO would like sales to increase by 25% next year.1. Cold Goose is able to achieve this level of increased sales, but its interest costs increase from 10% to 15% of earnings before interest and taxes (EBIT).2. The companys operating costs (excluding depreciation and amortization) remain at 70.00% of net sales, and its depreciation and amortization expenses remain constant from year to year.3. The companys tax rate remains constant at 40% of its pre-tax income or earnings before taxes (EBT).4. In Year 2, Cold Goose expects to pay $300,000 and $2,306,475 of preferred and common stock dividends, respectively.Complete the Year 2 income statement data for Cold Goose, then answer the questions that follow. Round each dollar value to the nearest whole dollar.Cold Goose Metal Works Inc. Income Statement for Year Ending December 31 Year 1 $30,000,000 21,000,000 1,200,000 $7,800,000$ Year 2 (Forecasted) Net sales Less: Operating costs, except depreciation and amortization Less: Depreciation and amortization expenses Operating income (or EBIT) Less: Interest expense Pre-tax income (or EBT) Less: Taxes (40%) Earnings after taxes Less: Preferred stock dividends Earnings available to common shareholders Less: Common stock dividends Contribution to retained earnings 1,200,000 780,000 $7,020,000 2,808,000 $4,212,000s 300,000 $3,912,000 1,895,400 $1,605,525 $2,519,025 Given the results of the previous income statement calculations, complete the following statements: In Year 2, if Cold Goose has 25,000 shares of preferred stock issued and outstanding, then each preferred share should expect to receive____________ in annual dividends If Cold Goose has 200,000 shares of common stock issued and outstanding, then the firm's earnings per share (EPS) is expected to change from __________ in Year 1 to in ________ Year 2 Cold Goose's before interest, taxes, depreciation and amortization (EBITDA) value changed from _______ in Year 1 to in ______ Year 2 It is __________ to say that Cold Goose's net inflows and outflows of cash at the end of Years 1 and 2 are equal to the company's annual contribution to retained earnings, $1,605,525 and $2,519,025, respectively. This is because of the items reported in the income statement involve payments and receipts of cash O O Ms o menos, y usted? 4. (01.02, 01.03 LC) Read and select the best expression to complete this dialogue. A boss meets up with one of her employees: -Buenos das. seorita? -Buenos das. Estoy muy bien, gracias. Jy usted? (2 points) O Cmo ests t Mucho gusto Estoy mal Cmo est usted 501 2 MON A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?