A train goes from Springfield, MA to Boston at a speed of 40 mph. On the return journey it moves at a speed of 80 mph. If the return journey takes an hour less than the outward journey, what is the average speed overall of the train?

Answers

Answer 1

Answer:

The answer is 53.3333333

Step-by-step explanation:

first you know that the speed on the way there is 40 mph and the back is 80

lets call the time x On the way there the time would just be X on the way back it would be x-1 because it took one less our

to calculate the distance you need to do speed times time therefor the distance on the way there would be 40x and the way back would be 80x-80

Then I made an equation 40x=80x-80 X=2

so the distance would be 80 miles but to find average speed you need to do total distance over total time so it would be 160 over 3 because the time is 2x-2 x=2 so thats 3

Hope this helps

 


Related Questions

C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?

Answers

Answer:

[tex] RC = 40 [/tex]

Step-by-step explanation:

Given:

PC = 3x + 7,

RC = 5x - 15,

QC = 51 - x.

Required:

measure of RC

SOLUTION:

Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.

So therefore,

[tex] PC = RC = QC [/tex]

Let's find the value of x using:

[tex] PC = RC [/tex]

[tex] 3x + 7 = 5x - 15 [/tex] (substitution)

Collect like terms

[tex] 3x - 5x = -7 - 15 [/tex]

[tex] -2x = -22 [/tex]

Divide both sides by -2

[tex] x = \frac{-22}{-2} [/tex]

[tex] x = 11 [/tex]

Find the measure of RC

[tex] RC = 5x - 15 [/tex]

substitute x = 11 into the equation

[tex] RC = 5(11) - 15 [/tex]

[tex] RC = 55 - 15 [/tex]

[tex] RC = 40 [/tex]

Answer:

40

Step-by-step explanation:

5. What is the quotient if you divide 9/12 - 1/6​

Answers

would be 7/12?? i’m pretty sure

54 hope it helps 54 that what is gave it to me

HARRY I NEED HELP FAST 15POINTS

Which expressions are quadratic expressions? Check all that apply
z^2
2x + 7x - 10
2x^2 + 9x - 7
500(0,25)^t -1
13x^3 + 21x^2-5

Answers

Answer:

First,Third Only

Step-by-step explanation:

Quadratic expression are those expression where the variable has a degree of maximum 2 and only the first and third expression have the degree of 2 in the choices. 2nd choice is a linear expression because both the variables have degree 1. 4th choice has a degree of t which means its an exponential expression, and 5th choice has the degree 2 and 3 but the maximum degree is 3 so it isn't a quadratic is a cubic equation.

Standard form of a quadratic expression

[tex]ax^2+bx+c[/tex]

First and third! Hope this helps!

A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that

Answers

160 animals are sick

Answer:

160 animals

Step-by-step explanation:

FAST HBELP 1min oijdfgpidfgdfgdfgg

Answers

Answer:

it looks like you have it right

Step-by-step explanation:

The United States of America consists of 50 states and _____ territories.
A.
3
B.
4
C.
5
D.
6

Answers

Answer:

USA has five territories. 5 have a permanent, nonmilitary population but tbe over nine don't. 14 all together.

Answer:

C.) 5

Step-by-step explanation:

Hope you have a good day and get good grades

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4? (1 point)

Answers

Answer:

2

Step-by-step explanation:

first write out the expression

(2 ^ 2)×(2^3)/(2^4)

using bodmas we deal with the division sign first as well as using the laws of indices. Thus we have

(2^2)×(2^[3-4])

= (2^2)×(2^-1)

=(2^[2+(-1)])

= (2^(2-1))

= (2^1)

= 2

3+3+3
Please Help....

Answers

Answer:

9

Step-by-step explanation:

3+3+3= 9 or you could just do 3x3

Which fraction is equivalent to this decimal?

0.16¯

Answers

Answer: 4/25 ILY <3

Step-by-step explanation:

Answer:

1/6?

Step-by-step explanation:


Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30

Answers

Answer:

$3.00 is the constant

Step-by-step explanation:

let x be the mile driven then

total charge=$3.00+[x($0.30)]

Blank x 0.9 = 0.18 i need help asap

Answers

Answer:

the answer is 0.2 i think..

Step-by-step explanation:

Answer:

blank = 0.2

Step-by-step explanation:

0.2*0.9=0.18

The houses on a city block were thought to be valued at $175,000, $163,000,
$142,000, $135,000, $191,000, $122,000, and $147,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
O A. $162,000
O B. $167,000
O c. $155,000
O D. $147,000
SUBMIT

Answers

Answer:

$167,000

Step-by-step explanation:

THAT'S THE ANSWER.COM

The median value of the houses is $167,000.

MedianWhat is median value?

The middle number in a collection of numbers is known as the median.

How median is calculated?Check to see if 'n' is an even number of values.Find the two numbers that are in the centre of the table of data. Adding the two middle numbers together and dividing the result by two will yield the average of the two numbers.The median is the outcome of this average.Calculation for the median of the houses:

The initial value of the 7 houses were,

$175,000, $163,000, $142,000, $135,000, $191,000, $122,000, and $147,000.

As, the value of each house were increased by $20,000.

The value of houses after increment,

$195,000, $183,000, $162,000, $155,000, $211,000, $142,000, and $167,000.

Arrange the values in the increasing order.

$142,000, $155,000, $162,000$, 167,000, $183,000, $195,000, $211,000.

Since, the given data has 7 values which is a odd number. So,  values come in the middle is $167,000.

Therefore, the median value of the houses is $167,000.

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Without multiplying, determine the sign of the product (−247,634) × (183,758).

Answers

————————————————————————————
The sign of the product will be negative

Examine the following function. f(x)=8x2+2x−15 What are the factors of the function?

(4x−5)(2x+3)
(4x+5)(2x−3)
(4x−3)(2x+5)
(4x+3)(2x+3)

Answers

Answer:

(4x-5) (2x+3)

Step-by-step explanation:

(4x-5) (2x+3)

The factors of the function f(x)=8x²+2x−15 are (4x -5) and (2x + 3).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

We have the quadratic function,

f(x)=8x²+2x−15.

To find the factors:

8x²+2x−15,

= 8x²+ 12x - 10x −15

= 4x(2x +3) -5(2x +3)

= (4x -5)(2x + 3)

Therefore, the factors are  (4x -5) and (2x + 3).

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Find the value of x.

Answers

Answer:

x=21

Step-by-step explanation:

180-126=54

54-12=42

42/2=21

x=21

1+1
Please, please, this is just to get to 20 words. lol

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

your welcome :}

Answer please thanks for answer ​

Answers

Answer: 15.8

In this number, .8 is the tenths place. So round it to this number.

.839 rounded to nearest tenth = .8

Your result should be 15.8.

15.839 rounded to the nearest tenth is 15.8.

How much weight should the 5'10 male weighing 185lbs lose to be considered healthy? Round to the nearest pound. his BMI is 36.1​

Answers

20lbs is the answer

Answer:

Normaly its 150 to 138

Step-by-step explanation:

5. Find the equation of the line through the points (-6, 12) and (-4,91

Answers

Answer:

The answer is -11x and -21

Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle

Answers

Answer:

This is very easy.

Step-by-step explanation:

Get a graph. The top of your triangle would be (0,0), the next angle or point would be (10,-4), and the last would be (-4,10). If graphed, the triangle would look like a triangle slanted to the left. To picture this, the top of your triangle would be diagonal to the second point (10,-4). Remember it's slanted to the left. That should be easier to picture.

Find the solution to the equation.

4(x + 7) = 38 i need it ASAP plzzz

Answers

Answer:

x = 2.5

or

x = 1/4

Step-by-step explanation:

watch the following steps:

4x + 28 = 38

4x = 38 - 28

4x = 10

x = 2.5

or

x = 1/4

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

2.5, maybe

Step-by-step explanation:

distribute 4 into x and 7

subtract 28 from both sides (28-28, 38-28)

divide 4 and 10

2.5

it seems odd...

Mrs. Moeser weights her grades. Tests are worth 60%, quizzes are worth 20%, homework is worth 10% and notebooks are worth 10%. Mike has a quiz average of 87, a homework average of 65, and a notebook average of 70. What does Mike's test average have to be for him to receive a 90 or higher?

Answers

Answer:

It has to at least be a 90

Step-by-step explanation:

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal. Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.)

Value Grocery Mart:
Number of Boxes of Crackers
3
6
9
12
Cost (in dollars)
5
10
15
20

Answers

Answer: value grocery store

Step-by-step explanation: Because when you divide all the numbers by each other your gonna get 0.6 .

The same popular crackers are on sale at Value Grocery Mart and Market City for 5.25, 10.5, 15.75, and 21 cents.

What are the differences between chart and tabular forms?A chart is one that displays data using symbols such as bars in a bar chart, columns in a line chart, or slices in a pie chart. A chart can represent tabular numerical data, functions, or specific types of quality structures to convey a variety of information.Using a tabular form and a single page, users can change multiple rows and columns in a table at the same time.A chart displays data in the form of a table, graph, or diagram. It can convey vast amounts of information in a variety of ways.

As the cost per pack is C=1.75b. C is the Cost in dollars.

3 × 1.75 = 5.25

6 × 1.75 = 10.5

9 × 1.75 = 15.75

12 × 1.75 = 21

Here, the table is given below

The complete question is:

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers

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Henry recorded how many pounds of fruits and vegetables his
family bought during the past two months.

Answers

ok

uibciuendsjdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfffffffffffffff

The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

What is rounding of digit?

Rounding is a process to estimate a particular number in a context.

To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.

Now the given weights in pounds of the fruits are,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

Peaches = 2.608

Pears = 3.592

The given weights in pounds of the vegetables are,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

Potatoes = 3.441

Red onions = 1.863

Now picking the 4 fruits,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

To round the weight to the nearest 0.1 pounds we see the digit at 0.1 place, if the digit right to the 0.1 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.068 = 2.1

1.07 = 1.1

1.031 = 1.0

3.502 = 3.5

Thus, the weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

Now picking 4 vegetables,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

To round the weight to the nearest 0.01 pounds we see the digit at 0.01 place, if the digit right to the 0.01 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.317 = 2.32

1.862 = 1.86

1.402 = 1.40

2.556 = 2.56

Thus, the weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

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Simplify 3{[3(9 – 2)] + [7(8 – 1)]}

Answers

Answer:

210

Step-by-step explanation:

Use the order of operations pemdas( parenthesis, exponent, multiply, divide, add, subtract)

first do everything within the parenthesis.

3 ( ( 3 (9-2) ) + ( 7 (8-1) ) )

3 ( ( 3 (7) + ( 7 ( 7 ) ) )

3 ( ( (21) + (49) ) ) )

3 ( ( 21 + 49 ) )

3 ( 70 )

3 (70) = 70 + 70 + 70 = 140 + 70 = 210

Complete the following equation;

Y=k?

Answers

Yes................?

What is this answer it says it’s wrong

Answers

Answer:

[tex]-10x^3y^2+5x^2y^3-2x^3+7y^2[/tex]

Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2

Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!

I’m not sure how to do this .

Answers

Answer:

A

Step-by-step explanation:

when you have this its asking for layers look at the shapes and you see what one matches

Answer:

A

Step-by-step explanation:

This is because this picture looks mainly like the isometric shape on the dot paper. In the other choices, you are clearly missing or adding some other part of the isometric shape.

Hope this helps!

The random variables X and Y are jointly continuous, with a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,otherwise, where c is a normalizing constant. For x∈[0,0.5] , the conditional PDF fX|Y(x|0.5) is of the form axb . Find a and b .

Answers

Answer:

The value of a and b are 8 and 1 respectively

Step-by-step explanation:

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 , \text{otherwise}\end{matrix}\right.[/tex]

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\\\\c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\\\\\frac{c}{2}\int_{0}^{1}x\left ( 1-y^2\right )\text{dx}=1\\\\\frac{c}{2}\int_{0}^{1}(x-x^3)\text{dx}=1\\\\\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\\\\\frac{c}{2}\left [ \frac{1}{2}-\frac{1}{4} \right ]=1\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\\\\c=8[/tex]

Conditional pdf of [tex]f_{x,y}(x|0.5)[/tex]

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

Normalizing pdf of 1

[tex]f_{y}y=\int_{0}^{y} 8yx \text{dx}[/tex]

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\f_{y}y=4y(y^2)\\f_{y}y=4y^3\\f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}=\frac{2x}{0.25}=8x[/tex]

We are given that PDF [tex]f_{x|y}(x|0.5)[/tex] is of the form [tex]ax^b[/tex]

So, on comparing 8x with [tex]ax^b[/tex]

So, a = 8 , b = 1

So, the value of a and b are 8 and 1 respectively

The resulting value of a and b given  the conditional PDF of fX|Y(x|0.5) is mathematically given as

a = 8 , b = 1 .

What are the values of a and b?

Question Parameters:

a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,

For x∈[0,0.5]

the conditional PDF fX|Y(x|0.5)

Generally, the equation for the function of (x,y)   is mathematically given as

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 ,\end{matrix}\right.[/tex]

Therefore

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1[/tex]

[tex]c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1[/tex]

[tex]\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1[/tex]

[tex]\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1[/tex]

C=8

Where, the conditional PDF fX|Y(x|0.5)

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

We have

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\[/tex]

[tex]f_{y}y=4y^3[/tex]

[tex]f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}[/tex]

f_{x|y}(x|0.5)=8x

In conclusion. with the pdf in the form of ax^2

8x comparing ax^b

The value of a = 8 , b = 1 .

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A decimal is never a rational number

True
False

Answers

Answer:

False

Step-by-step explanation:

Decimals such as 1.2, 4.95, 2.28914 are all rational numbers.

If it doesnt end then its irrational, such as pi. but we know the exact amount of the numbers above therefore its rational. Also it can be put in fraction form which is another way to determine if rational or not.

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