Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?

Answers

Answer 1

Answer:

112 km/h

125 km/hr

Step-by-step explanation:

Distance = time * speed

Distance  = distance train 1 + distance train 2

474 = 2(s) + 2(s + 13)

Distribute

474 = 2s + 2s + 26

Combine like terms

474 = 4s + 26

Subtract 26 from both sides

448 = 4s

Divide both sides by 4

112 = s

s = 112 km/h

s + 13 = 125 km/hr


Related Questions

After three exams, Jenny has a mean score of 74. With only one exam remaining in the class, what is the
minimum score she will need on that exam to have an overall mean of 80?

Answers

She will need at least a 98

The minimum score Jenny need on that exam to have an overall mean of 80 is 98.

What is mean?

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Given that, after three exams, Jenny has a mean score of 74.

Let the minimum score of the one exam remaining be x

Now, (3×74+x)/4 =80

⇒ 222+x=320

⇒ x=320-222

⇒ x=98

Therefore, the minimum score Jenny need on that exam to have an overall mean of 80 is 98.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

#SPJ2

What is a number and how do i get it when i do the thing?

Answers

Answer:

number is a mathematical object used to count, measure, and label. ... Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called numerals; for example, "5" is a numeral that represents the number five.

OMG HELP RN
Sarah climbed 3,600 feet of the way up Pikes Peak and then stopped to rest. After she stops, she continues to climb at a rate of 85 feet per hour for h hours. Which expression indicates her elevation, in feet, h hours after she stops?
A.
3,600 ÷ 85 × h
B.
3,600 + 85 × h
C.
(3,600 + 85) ÷ h
D.
3,600 - 85 × h

Answers

Answer: the answer is d hope this helps if not i'm sorry

pls pls help i’ll mark brainliest quickly!!!
Part A: The number of cubic feet of water, y, in a pool 2 hours after the water starts flowing into the pool is a linear function. The points (40,3000) and (60,4000) lie on the line of the function. Calculate the slope of the line.

Part B: What does the slope of the line represent in Part A? Explain in your own words and use compete sentence.

Part C: Explain how the slope formula is related to the definition of slope. Use complete sentences.

Answers

Answer:

m=50

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula:

Step-by-step explanation:

Step 1: Define

Point (40, 3000)

Point (60, 4000)

Step 2: Find slope m

               

Eric is helping his younger sister learn division. He is having a hard time explaining what a remainder is. Help Eric out by describing what a remainder is in your own words. What is the remainder when 76 is divided by 3?

Answers

Answer:

1

Step-by-step explanation:

The remainder is what’s left when you divide. The part you cannot divide.

You can divide 75 by 3 = 25, so the remainder is 1.

H e l p this is confusing

Answers

Answer:

The answer would be 780 miles

Step-by-step explanation:

The reason that that's the answer because since it says that they will average about 65 miles per hour on a 12 hour trip, you have to multiply 65 time 12, which is 780 miles, so

65 miles x 12 hours = 780 miles   :)

Hope this helped!

A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and x is used to estimate . a. What is the probability that the sample mean will be within 65 of the population mean

Answers

Answer:

z(195) = (195-200)/50 = -0.1

z(205) = (205-200)/50 = +0.1

P(195 < x < 205) = p(-0.1 < z < 0.1) = 0.0797

Step-by-step explanation:

step by step is in they're

Using the normal distribution and the central limit theorem, it is found that there is a 1 = 100% probability that the sample mean will be within 65 of the population mean.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is of 200, hence [tex]\mu = 200[/tex].The standard deviation is of 50, hence [tex]\sigma = 50[/tex].The sample size is of 100, hence [tex]n = 100, s = \frac{50}{\sqrt{100}} = 5[/tex].

We want the probability that the sample mean will be within 65 of the population mean, hence:

[tex]Z = \frac{65}{s}[/tex]

[tex]Z = \frac{65}{5}[/tex]

[tex]Z = 13[/tex]

The probability is P(|Z| < 13), which is the p-value of Z = 13 subtracted by the p-value of Z = -13.

Looking at the z-table:

Z = 13 has a p-value of 1.Z = -13 has a p-value of 0.

1 - 0 = 1

1 = 100% probability that the sample mean will be within 65 of the population mean.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

write the domain and rang of h using interval notation

Answers

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

Please help!!!

A. (-4,2)

B. (-4,-2)

C. (2,-4)

D. (2,4)

Answers

Answer:

A

Step-by-step explanation:

Have a nice day

the answer is A :) hope it helps!

w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls​

Answers

This is your answer and for the multiplication I gave it to you step by step

simple math question!!!

Answers

There are 25 boxes and 15 of them are shaded.

15/25 = 0.6 = 60%

Answer:

15%

Step-by-step explanation:

Because 5 x 3 = 15%. So the answer is 15%

What is the simplest fraction form of 0.030303

Answers

Step-by-step explanation:

1/33

1/3 is 0.33333....

1/30 is 0.03333...

1/300 is 0.003333...

and so on.

that was in the initial thought.

in oder to interrupt the 1/3=0.3333... series and interlace the 3s with 0s, I had to divide by 10, but also by further 10% (in total 11) of that to create a 0.0303 sequence.

I initially thought that I would have to add then 10% of that and then 10% if that, but no, the one step is sufficient.

so, it turned out to be 1/3 / 11 = 1/33.

this is really hard help me please

Answers

Use the formula
V = pi(r^2)(h)
r = 3.75, h = 6.21
V = pi(3.75^2)(6.21)
V = pi(87.33)
V = (3.14)(87.33) = around 274
Now you can figure out the rest

In a group of 34 students, 12 study both Art and Biology.
14 study Biology but not Art.
5 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

3

Step-by-step explanation:

12+14+5=31

so therefor 34-31=3

I'm not too sure but, wouldn't you just do the following

12 + 14 + 5 = 31

which would mean 15 students do art??

What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty

Answers

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The area of the rectangle is ...

  A = lw = (21)(12)

The area of the shaded triangle is ...

  A = 1/2bh = 1/2(14)(12) = (7)(12)

Then the fraction of the rectangle that is shaded is ...

  (shaded area)/(rectangle area) = (7)(12)/((21)(12)) = 7/21 = 1/3

1/3 of the rectangle is shaded.

if a chocolate cake is divided into six equal slices and each slice has 280 calories

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

1,680

Step-by-step explanation

6 slices each 280 calories, 280 x 6 = 1,680

How many containers of At the book store, Dan bought 17 books about the solar system, and 12 magazines about dinosaurs. If books cost $15 and magazines cost $4, how much did Dan spend at the book store? *cream will she be able to purchase? *

Answers

Answer:

303

Step-by-step explanation:

math

Finding it hard. I’d love some help and the answers. Thanks

Answers

for all of them its base times height

v=bh

1) (8*6/2)*9.5=228

2) (4.5/2)^2 *8= 40.5

3) (3.3* 8.3/2) *5.4= 74.0

4) ((3.2+4.8)/2)* 2.7 *4.4= 47.5

I need 425 divided by 5 with the algorithm please!

Answers

Answer:

85

Step-by-step explanation:

I attached my work in a picture below!

Hope this helps :D

What is the slope of the line that passes through the points
(−5,−7) and (4,−1)? Write your answer in simplest form.

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3

The slope of the line is 2/3.

_____

The attached graph shows the equation of the line in point-slope form.

the ratio of milk to sugar in an iced coffee is 4 to 1. if you add 4 teaspoons of milk, how many teaspoons of sugar should you add?​

Answers

Answer:

the answer is you need to add 1 teaspoon of sugar

Step-by-step explanation:

Select all ratios equivalent to 4:16.
3:12
6:48
5:4

Answers

Answer

Step-by-step explanation:

neither

brainlest

3:12

4/16=.25
3/12=.25

Please help with this thanks

Answers

Answer:

1. 7

2. 5

3. 6

4. Start at the number 34. count back 1 at a time 28 times. then you will get your answer to 34-28 which is 6.

Step-by-step explanation:

have a great day! feel free to mark as brainliest. :)

PLEASE HELP LOOK AT THE PIC BELOW

Answers

Answer:

The simplest answer is

[tex] \frac{16}{21} [/tex]

The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.

[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]

[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]

[tex]\sf \longmapsto \frac{16}{21} [/tex]

Therefore the answer is :

[tex]\sf \frac{16}{21} [/tex]

5.prove for kite abcd above that BD bisects both ABC and ADC

6.Given from what we now know from 5, prove that M must be the midpoint of AC​

Answers

The kite is a quadrilateral that has two pairs of equal adjacent sides and

one of equal opposite angles.

5. The two column proof is presented as follows;

Statement [tex]{}[/tex]                            Reason

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex]     [tex]{}[/tex]                          By reflexive property

ΔABD ≅ ΔBDC    [tex]{}[/tex]                   By Side-Side-Side, SSS congruency postulate

∠ABC = ∠ABD + ∠CBD      [tex]{}[/tex]    Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

[tex]\overline{BD}[/tex] is a bisector of  ∠ABC    [tex]{}[/tex] Definition of angle bisector

∠ADC = ∠ABD + ∠CBD      [tex]{}[/tex]     Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

Therefore;

[tex]\overline{BD}[/tex] is a bisector of ∠ADC     [tex]{}[/tex] Definition of angle bisector

CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent

6. The two column proof is presented as follows;

Statement [tex]{}[/tex]                          Reason

∠ABD ≅ ∠CBD  [tex]{}[/tex]           CPCTC (question 5)

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                  Given

[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex]      [tex]{}[/tex]              Reflexive property

ΔABM ≅ ΔCBM      [tex]{}[/tex]      According to Side-Angle-Side, SAS congruency rule

[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex]      [tex]{}[/tex]               CPCTC

[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex]    [tex]{}[/tex]                  Definition of congruency

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex]    [tex]{}[/tex]        Segment addition postulate

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] =  2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality

[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex]    [tex]{}[/tex]        Division property of equality

M divides [tex]\overline{AC}[/tex] to two   [tex]{}[/tex]  Definition

M is midpoint of [tex]\overline{AC}[/tex]   [tex]{}[/tex]   Definition of midpoint

Learn more here:

https://brainly.com/question/20644467

helppppppp pleaseeee again im sorry but i dont know any of itttttt.

Answers

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

If the silver accounts for 84% of the bar's weight, what is the weight of the silver?

Answers

weight=8.15 ounces
silver=84%of the total weight
silver=(84/100)×8.15 ounces
silver= 0.84×8.15 ounces
silver=7.5795 ounces
silver=7.580 ounces (rounded to nearest thousandth)

Answer:

Step-by-step explanation:

The answer is

In a bag of 50 marbles, 15 marbles are green or red.

What percentage of marbles are green or red?

Enter the missing values in the boxes to complete the ratio table.
Part____ Whole 50

Part____ Whole 100

Answers

Answer:

28% are green or red

Step-by-step explanation:

A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?

Answers

Answer:

$2600

Step-by-step explanation:

Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600

How many pounds are in 1 1/2 pounds and 8 ounces? There are _____ pounds in 1 1/2 pounds and 8 ounces.

Answers

Answer:

Hope this helps

Step-by-step explanation:

Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.

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