Un autobús sale de una ciudad con velocidad de 100km/h.A las 2 horas sale un coche con velocidad de 120km/h.¿En que tiempo alcanzan el coche el autobús?

Answers

Answer 1

The car will catch up with the bus in 10 hours.

In what time will the car catch up with bus?

The time it takes for car to catch up is denoted by 't' (in hours).

The bus has a head start of 100 km/h * 2 hours which equals = 200 km.

Relative to the bus, the car's effective speed is:

= 120 km/h - 100 km/h

= 20 km/h.

To catch up with the bus, the car needs to cover the initial distance of 200 km which is the head start.

Using the distance formula:

Distance = Speed × Time.

The equation for the car is written as:

20 km/h * t = 200 km.

Simplifying, we get:

t = 200 km / 20 km/h

t = 10 hours.

Translated question:

A bus leaves a city with a speed of 100 km/h. At 2 hours a car leaves with a speed of 120 km/h. In what time does the car catch up with the bus?

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Related Questions

17
The product of two positive numbers is
Calculate the numbers.
5/6
And their quotient is 15/8 calculate the number

Answers

Answer:

Let "x" and y" be the two numbers.

We have

xy = 5/6, (1) and x/y = 15/8. (2)

Multiply (1) and (2) (both sdes). You will get

x^2 = (5*15)/(6*8) = 25/16.

Hence, x = +/- 5/4.

Next, divide (1) by (2) (both sides). You will get

y^2 = 5/6:15/8 =

(5*8)/(6*15) = 4/9.

Hence, y=+/-2\/3.

Answer. There are two solutions: (x, y)=(5\/4,2\/3) and (x,y) = (-5/4,-2/3).

// We should exclude the second solution, since the numbers are negative.

PLSSS THIS NEEDS TO BE DONE QUICKLY ​

Answers

Answer: 433.33 cm^3

Step-by-step explanation: Since the base is a square, volume = base area × height / 3

10*10 = 100,  100 * 13 = 1300, divided by 3 = 433.33 cm^3

2 (3/4 - x/3) = 1 1/4
solve for x

Answers

The value of x is 17/12

How to solve for x?

The equation is given as

2 (3/4 - x/3) = 1 1/4

Express as improper fractions

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

Divide through by 2

3/4 - x/3 = 5/9

Collect like terms

x/3 = 3/4 - 5/9

Multiply through by 3

x = 9/4 - 15/9

Evaluate

x = (81 - 30)/36

Evaluate

x = 51/36

Simplify

x = 17/12

Hence, the value of x is 17/12

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Solve the triangle. A = 46°, a = 31, b = 27

A. B = 38.8°, C = 115.2°, c ≈ 34.3

B. B = 38.8°, C = 95.2°, c ≈ 25.7

C. B = 38.8°, C = 95.2°, c ≈ 42.9

D. Cannot be solved

Answers

Answer:

C. B=38.8, C=95.2, c=42.9

Step-by-step explanation:

Find B by using sine rule

sin 46/31=sin B/27

sin B= 27 sin 46/31

B=sin‐¹(0.627)

B=38.8

Find C

C= 180-(A+B)

C=180-(38.8+46)

C=95.2

Using sine rule, Find c

31/sin 46=c/sin 95.2

c=31 sin 95.2/sin 46

c=42.9

The results of a poll show that the true proportion of students who prefer the new schedule is likely in the interval (0.195,0.245).

What is the point estimate of the proportion of students who prefer the new schedule

Answers

The point estimate of the proportion of students who prefer the new schedule is 0.22.

Definition of Point Estimate

Point estimation is a technique used in statistics to determine a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic, known as the point estimate. More precisely, in order to produce a point estimate, we apply a point estimator to the data.

For the confidence interval (0.195, 0.245), point estimate is calculated as follows,

p = (0.195 + 0.245) / 2

p = 0.44 / 2

p = 0.22

Hence, the point estimate of the proportion of students who prefer the new schedule comes out to be 2.2.

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Explain why the standard deviation of a set of data is always given as a positive number, but data points can have a negative overall standard deviation.

Answers

The reason why the standard deviation of a set of data is always given as a positive number is because the individual values are squared.

What is the standard deviation?

The term standard deviation is used to express how much numbers depart from the mean value. Now we know that the standard deviation for each of the data points is the square of the difference between the score and the mean.

Given that the value that is extracted from each data point is squared, the standard deviation of a set of data is always given as a positive number, but data points can have a negative overall standard deviation.

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Kat plays a surfing video game with a friend. Each player earns 50 points for each trick he performs, but loses 40 points each time he falls off the surfboard. Last week, Kat had 6 stunts and 9 falls. Her score from her today was 3 times her score from last week. What was Kat's score today. What would be different about Kat's score today if it were –3 times her score from last week? What would be the same? Explain your reasoning.

Answers

Step-by-step explanation:

No. of points got from 1 stunt = 50.

No. of points deducted from 1 fail = 40.

6 stunts and 9 falls were gained last week.

So, A/C the number of points earned =

(6×50)-(9×40)

= 300 - 360

= -60

Her score today is 3 times her score from last week so multiply by 3

= (-60) × 3

= -180

If it were multiplied by -3 instead of 3 it would be...

(-60) × (-3)

= 180

The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.

The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.

Decide if the random variable x, is discrete or continious: x represents the temperature in degrees Fahrenheit on July 4th in Juneau, Alaska

Answers

Answer:

Continuous

Step-by-step explanation:

Degrees don't always have to be integers. It can be 32.3 degrees, 32.31 degrees, etc.

Calculate the slope of a line that goes through (3,3) and (8,1).

Answers

Answer:

slope formula= y2-y1/x2-x1

=1-3/8-3

= -2/5

pls mark as brainliest thanks!

13. Define the domain of the following

Answers

For the given diagram, the domain of the graph will be within the range [-2, 8]. Hence the required domain are {-2, 0, 1, 2, 8}

Domain of a function

The domain of a function are the independent variable of the function for which it exists,

For graphs, the domain exists on the x-axis of the curve or line on the xy plane.


For the given diagram, the domain of the graph will be within the range [-2, 8]. Hence the required domain are {-2, 0, 1, 2, 8}

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NL and MK are diameters of circle J.

Circle J is shown. Line segments M K and N L are diameters. Line segment J P is a radius. Angle M J N is 62 degrees and angle N J P is 90 degrees.

Complete the statements about circle J.

Arc M P is a
and measures

degrees.

Arc M L N is a
and measures

degrees.

Answers

Arc M P is a minor arc and measures 152°

Arc M L N is a major arc and measures 298° .

Given that NL and MK are diameters of circle J.  

 Size of arc MP is 62+90=152°, since MP is smaller than MLN

             then it is a minor arc. Hence the correct statement is:  

             M P is a minor arc and measures 152°.

Size of M L N is 360-62=298°, thus it is a major arc. Hence the

             correct statement is:

             MLN is  major arc and measures 298°.

Arc M P is a minor arc and measures 152°

Arc M L N is a major arc and measures 298° .

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Answer:

Complete the statements about circle J.

Arc M P is a

✔ minor arc

and measures

✔ 152

degrees.

Arc M L N is a

✔ major arc

and measures

✔ 298

degrees.

Step-by-step explanation:

edge 2022

At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at the fundraiser was $900, what was the ratio of the number of female attendants to the number of male attendants.

Answers

The ratio of the number of female attendants to the number of male attendants is 21/17

Ratio

Amount donated by female attendant = $1200Amount donated by male attendant = $800Average donation = $900

let

number of female attendant = xnumber of male attendant = y

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

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PLEASE HELP I've been struggling on this one :(

Answers

Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as
[tex](x+2) (x-4)^{2}[/tex]

Step-by-step explanation:

Answer is very lengthy but I am 100% sure that's the correct answer

Answer:

(x³ - 6x² + 32) = (x - 4)²(x + 2)

Step-by-step explanation:

(x³ - 6x² + 32)/(x - 4) =

           x² - 2x - 8

          ----------------------------------

x - 4    |  x³ - 6x² + 0x + 32

             x³ - 4x²

            ----------

                  -2x² + 0x

                  -2x² + 8x

                 ----------------

                            -8x + 32

                            -8x + 32

                           -------------

                                       0

(x³ - 6x² + 32) = (x - 4)(x² - 2x - 8) = (x - 4)(x - 4)(x + 2) =

= (x - 4)²(x + 2)

I keep believing the answer is either 18,000 or 1,800 but im incorrect. Can someone please help me?? I use the formula A^2 *2*A*L=SA

Answers

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

Answer:

SA = 280 cm²

Step-by-step explanation:

SA = area of base + area of 4 congruent triangles

     = 10² + (4 × [tex]\frac{1}{2}[/tex] × 10 × 9 )

     = 100 + (2 × 10 × 9)

     = 100 + 180

     = 280 cm²

how many 2/7 are 150

Answers

Answer:

42.8571

Step-by-step explanation:

We would need to divide 150 by 7 and multiply it by 2 to get the answer.

150/7 = 21.42857

21.42857*2 = 42.8571

Identify the range of the function shown in the graph.
OA. -1 sy≤ 1
OB. {-1, 1)
OC. y> -1
-10
D. y is all numbers.
10
8
8-
2
48
-6
88
-10-

Answers

The range of the attached function is 0 ≤ y ≤ 8

How to determine the range?

The complete question is added as an attachment

From the graph, we have the following highlights

Vertex = MaximumVertex = (0, 8)

This means that the y value do not exceed 8, and the minimum is 0

Hence, the range of the attached function is 0 ≤ y ≤ 8

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Select all the true statements. Logarithms may be used to linearize data. Powers may be used to linearize data. Roots may be used to linearize data. If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model. If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Answers

The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

O Work out the length of x.
Give your answer rounded to 3 significant figures.
12.4 mm
8.6 mm
X

Answers

Answer:

8.9mm

Step-by-step explanation:

To solve for x, we use the Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, the square of the Hypotenus is equal to the sum of the square of the other two sides.

The Hypotenus is the longest side, or the side facing the right angle.

From the question above,

[tex]12.4 {}^{2} = \: 8.6 {}^{2} + x {}^{2} \\ \\ 153.76 \: = 73.96 \: + x {}^{2} \\ \\ collecting \: liketerms \\ \\ x { \: }^{2} = 153.76 - 73.93 \\ = 79.83 \\ \\ squareroot \: bothsides \\ \\ \sqrt{x {}^{2} } = \sqrt{79.83} \\ \\ x = 8.9[/tex]

The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Group of answer choices random variable probability distribution conditional probability sample space

Answers

The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

According to the statement

we have to find the under which probability type The distribution of probabilities for each outcome of a random variable that sums to 1.00.

So,

For this purpose, we know that the

A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

and the above written definition of probability is satisfied the condition that the The distribution of probabilities for each outcome of a random variable that sums to 1.00.

Due to this reason The Probability Distribution is a correct option.

So, The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

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Francisco's credit card has an APR of 13%, calculated on the previous
monthly balance, and a minimum payment of 2%, starting the month after the
first purchase. His credit card record for the last 7 months is shown in the
table below.
A.609.87
B.45.52
C.330.35
D.279.53

Answers

The amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53 based on the APR.

What is APR?

Annual percentage rate (APR) refers to the yearly interest generated by a sum that's charged to borrowers or paid to investors

For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate.

The amount of the $5200 charge that Francisco made during the first month has been paid off will be the total of the principal paid which is:

Principal paid = $47.67+$47.23+$46.80+$46.37+$45.94+$45.52

=$279.53

Therefore, the amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53.

In conclusion, the correct option is D.

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Complete question:

How much of the amount of the $5200 charge has Francisco paid off in the first month?

the area of a rectangle is 344in²; if the length is 78in, find the width and perimeter of the rectangle

what is the width and perimeter ​

Answers

The width is 4.41 inches and the perimeter is 164.82 inches

There are 50 pennies in a roll. if you have 110 rolls of pennies, how many pennies do you have?

Answers

Answer:

The answer to your question is 5500

Step-by-step explanation:

[tex]50x 110 = 5500\\[/tex]

I hope this helps and have a good day!

simplify 16-4(3x-2)²

Answers

16-4(3x-2)²

=16-4(3x-2)(3x-2)

=16+−36x²+48x+−16

=(−36x²)+(48x)+(16+−16)

=−36x²+48x

Answer:

[tex] \red{- 12x(3x - 4)}[/tex]

Step-by-step explanation:

We know that,

[tex](a - b)^{2} = {a}^{2} - 2ab + {b}^{2} \\ [/tex]

Accordingly, let us solve the sum now.

[tex]16 - 4(3x - 2)^{2} \\ 16 - 4(9 {x}^{2} - 12x + 4) \\ 16 - 36 {x}^{2} + 48x - 16 \\ - 36 {x}^{2} + 48x \\ - 12x(3x - 4)[/tex]

Two random samples were done to determine how often people in a community go to the dentist. the first sample surveyed 10 people as they entered their workplaces. the first sample found that the mean time between visits to the dentist was 7.5 months. the second sample surveyed 50 people as they entered the local grocery store. the second sample found that the mean time between visits to the dentist was 18.1 months. which statements are true? check all that apply. the first sample is likely to be more representative of the population. the second sample is likely to be more representative of the population. the second sample will give a better representation because it is larger. the first sample is not biased. community members probably visit the dentist about once every 18 months.

Answers

The answer of all of this is 18 because 18.1 months so if you do the math you get 18-7x+20^2

Answer:

B, C and E

Step-by-step explanation:

A company has $36,000 to hire a mathematician and his or her secretary. Out of respect for the mathematician's training, the mathematician will be paid $8000 more than the secretary. How much will each be paid

Answers

The money paid to the secretary is $14000 and the money paid to mathematician is $22000.

What is an equation?

A mathematical statement that establishes the equality of two mathematical expressions is the called an equation.

Total money available for hiring = $36000

Let the money given to secretary = X

Money given to the mathematician = X + 8000

X + (X + 8000) = 36000

2X = 28000

X = 14000

Money given to secretary is $14000.

Money given to the mathematician is $22000.

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Let tan(x)=2/5
What is the value of tan(2π−x)
please!

Answers

Answer:

-0.4 or [tex]\frac{-2}{ 5}[/tex]

Step-by-step explanation:

[tex]tan^-^{1} ({\frac{2}{5} })=21.80\\[/tex]

tan ( 2π-21.80)

but 2π = 360

Therefore our question becomes:

tan ( 360-21.80)=tan(338.2)= -0.4

find the slope of the line on the graph

Answers

Answer:

4

Step-by-step explanation:

Slope=rise/run

there is a increase of 4 in y for every increase of 1 in x

Find the length of the segment indicated. Assume that lines which appear to be tangent are tangent. Round to one decimal place if necessary.

Answers

Answer: 13.6

Step-by-step explanation: Use a theorem which exists s. then you use pythagoreom

The length of the segment indicated is 13.6

Finding the length of the segment indicated.

From the question, we have the following parameters that can be used in our computation:

The circle

Assuming that lines which appear to be tangent are tangent, we have

?² = (2 * 6)² + 6.4²

Evaluate

?² = 184.96

So, we have

? = 13.6

Hence, the length of the segment indicated is 13.6

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I need help anyone with graphs

Answers

The given function shows imply that the graph g(x) is shifted two units right and three units up.

Option B is correct.

What is the transformation of a function?

The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.

From the given information:

Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.

Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

g(x) = f(x-2) + 3

Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.

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Help me with this question please

Answers

the answer is 991^2/80
The answer is 991^2/80
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In addition, a 5% common stock dividend was declared on the common stock outstanding. The fair market value of the common stock is estimated at $52Dec. 31. Paid the cash dividends and issued the certificates for the common stock dividend. Consider a systematic binary linear block code whose parity check equations are P1 = m + m2 + m4 P2 = m + mz+m4 P3 = m + m2 + mz P4 = m2 + mz+m4 where addition is over the binary field, mi, i = 1,...4, are message bits and Pi, i = 1, ...4, are parity bits. a) Find the generator matrix and parity check matrix b) Find codeword length n and message length k, and code rater c) Write down all possible codewords d) Find the minimum Hamming distance e) Find the error detection and error correction capabilities of this code. The heat of combustion of CH4 is 890.4 kJ/mol and the heat capacity of H2O is 75.2 J/molK. Part A Find the volume of methane measured at 298 K and 1.45 atm required to convert 1.50 L of water at 298 K to water vapor at 373 K. A forest canopy has an interception capacity of 5 mm (0.2 in). Estimate the annual fraction of rainfall lost to interception storage based on the daily precipitation data (inches) given below. Assume that all intercepted water evaporates during each 24-hr period. Use an "if' statement in Excel to solve. The area A (r) (in square meters) of a circular algae colony with radius r meters is given by A (r)=ar.13The radius M (t) (in meters) after t minutes is given by M (t)=Write a formula for the area Z (t) (in square meters) of the algae colony after t minutes. This forum is an opportunity for students to discuss topics related to Essays and Reflections IV.Rather than tackling an entire essay topic, I suggest you take on something more specific that would fit with the topic. For example, if you are writing about "The Americas", you could discuss "Eastern Woodlands Peoples" as something that could be part of the essay. If you start a topic, please give it a title such as "Eastern Woodlands (The Americas)" or "Mongol Contributions (Integration)" or "India and China (Comparative Cultures)".Please only share one or two paragraphs, in each post. The idea is to start a discussion on the topic, or continue a discussion someone else started. Please consider how your post will encourage others to share.Whether your post is the introducing a topic, or responding to another student, please mention specific chapters where you picked up the information you are discussing. If you can mention page numbers, that could also be helpful. Also, feel free to share pictures that could be helpful when discussing the topics. Connections to our "history habits of mind" could also be helpful.