Three cyclists simultaneously start their movement from the same point at 7 am. Their routes take 10 minutes, 25 minutes and 15 minutes, respectively. When will be the first time that the three cyclists meet again at the starting point?

Answers

Answer 1

Answer:

The 3 cyclists will meet at the starting point again after 150 minutes.

Step-by-step explanation:

Since they start at the same point but then take different times to each route, then to find the first time they will each meet at the starting point, we have to find the lowest common multiple (LCM).

Let's use prime factorization to get it.

Prime factorization of 10 = 2 × 5

Prime factorization of 15 = 3 × 5

Prime factorization of 25 = 5 × 5

Thus,super set = 2, 3, 5, 5

Thus,LCM = 2 × 3 × 5 × 5 = 150

Thus,the 3 cyclists will meet at the starting point again after 150 minutes.


Related Questions

Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades

Answers

Answer:

Imperfect substitutes

explanation:

The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

The distribution is positively skewed.

Step-by-step explanation:

It's not symmetric because the distribution in the chart isn't equally shown or marked. It's not negative skewed either because for it to be negative the graph would have to go down in a negative direction, usually the left, but in the picture you posted the graph is going down in the right direction. Lastly, positively skewed graphs or charts look like the one you posted. They go down in the right direction, hence why they're called "positively" skewed. The right tail of the distribution is longer in positively skewed graphs or charts.

A company's stock price flucated over a period of four days. The table shows the change in stock price per day. The net change in the company's stock price over the four days

Answers

Answer:

The net change is -.30

Step-by-step explanation:

increase means add

decrease means subtract

+3.50

-3.70

+3.30

-3.40

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

-.30

The net change is -.30

What is 6/10 + 9/10 in simplest form?

Answers

Answer: 3/2

Step-by-step explanation:

Given

6/10 + 9/10

Add the numerator together

= (6 + 9) / 10

Simplify by addition

= 15 / 10

Simplify to simplest form by division

= (15 ÷ 5) / (10 ÷ 5)

= 3 / 2

Hope this helps!! :)

Please let me know if you have any questions

Hello there! The answer is:

3/2 OR  1 1/2

Step-by-step explanation:

With like denominators we can add the numerators.

6 + 9 = 15.

Then that answer over the denominator which gives us 15/10. Then simplifying the answer.

That gives us: 3/2 = 1 1/2

I hope this answer helps you out. Let me know if you have any questions/concerns.

The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that apply.

20 millimeters
20 mm3
20 mm2
20 square millimeters
20 cubic millimeters

Answers

Answer:

20 mm^3, 20 cubic millimeters

Step-by-step explanation:

The volume of a prism is length times width times height.

Length, width, and height can have units of mm.

mm * mm * mm = mm^3

The units of a volume must be cubic units.

Answer: 20 mm^3, 20 cubic millimeters

. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13

Answers

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

           2 sqrt(2x-1)

[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]

[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]

g(x) will be put on the place of x

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]

Find the solutions to x2 = 28.
A. x = 14,2
O B. x = +2./14
O C. X = +2,7
O D. x = -7/2

Answers

Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]

Work Shown:

[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]

This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]

Instructions: Given the following coordinates complete the glide reflection
transformation.
A(-9,-2)
B(-9,-5)
C(-5,-4)
Transformation: Reflection over the y-axis and a translation of shifting up 5 units

Answers

Answer:

A(9,3)

B(9,0)

C(5,1)

Step-by-step explanation:

AB←→||CD←→. Find the measure of ∠BFG.

Answers

Answer:

Value of ∠ BFG = 135°

Step-by-step explanation:

Given:

AB || CD

∠ AFG = (3x + 15)°

∠ FGD = (5x - 5)°

Find:

∠ BFG

Computation:

We know that;

∠ AFG = ∠ FGD

3x + 15 = 5x - 5

3x - 5x = - 5 - 15

- 2x = - 20

2x = 20

x = 10

Value of ∠ AFG = 3x + 15

Value of ∠ AFG = 3(10) + 15

Value of ∠ AFG = 45°

∠ BFG = 180° - Value of ∠ AFG

∠ BFG = 180° - 45°

∠ BFG = 135°

Value of ∠ BFG = 135°

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each verbal description to its equivalent function rule as applied to the given function below. The function f stretched vertically by a factor of 2 and translated down by 3 units. arrowBoth The function f reflected about the y-axis and translated 3 units left. arrowBoth The function f stretched vertically by a factor of 3 and translated up by 2 units. arrowBoth The function f translated 2 units down and 3 units right. arrowBoth

Answers

Answer:

The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]

The function f reflected about the y-axis and translated 3 units left.  ---> [tex]g(x) = -7x-16[/tex]

The function f stretched vertically by a factor of 3 and translated up by 2 units.  ---> [tex]g(x) = 21x +17[/tex]

The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]

Step-by-step explanation:

Explanation could not be submitted; So, I added it as an attachment

Answer: answer below :)

Step-by-step explanation:

Geometry, please answer question ASAP

Answers

Answer:

XY = 24

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio.

[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]

Cross multiply,

(x + 6 )(2x-4) = 16*30

Use FOIL method

x*2x + x*(-4) + 6*2x + 6*(-4) = 480

2x² - 4x + 12x - 24 = 480  {Combine like terms}

2x² + 8x - 24 = 480

2x² + 8x - 24 - 480 = 0

2x² + 8x - 504 = 0

Divide the entire equation by 2

x² + 4x - 252 = 0

Sum = 4

Product = -252

Factors = 18 , -14   {18 +(-14) = 4  & 18*(-14) = -254 }

x² + 4x - 252 = 0

x² + 18x - 14x - 252 = 0  {Rewrite middle term}

x(x + 18) - 14(x + 18) = 0

(x + 18)(x - 14) = 0

x - 14 = 0           {Ignore x + 18 = 0 as measurement will not come in negative}

x = 14

XY  = 2x - 4

    = 2*14 -4

     = 28 - 4

       = 24

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

A(1, 1), B(-3, 0), C(-4, -1), D(3, -2)

Answers

Answer:

is this geomtey

Step-by-step explanation:

Make sure to put what kind of maths (geometry algebra ect.) this is so others can meet your needs better. Also might want to put what unit or type of problem this is as well.

A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?

Answers

Answer:

The speed of the balloon is 0.16 m/s.

Step-by-step explanation:

CD = 300 m

Let AD = x

AB = y

time, t = 3 min

Triangle, ADC

[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]

Triangle, BCD

[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]

So, y = 109.2 - 80.4 = 28.8 m

Speed = 28.8/180 = 0.16 m/s

Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.

Answers

Answer:

.

Step-by-step explanation:

2: 5, 10, 261.8, 785.4, 0.33

3: 7, 20, 1,026.3, 3,078.8, 0.33

4: 8, 6, 402.1, 1,206.4, 0.33

5: 12, 11, 1,658.8, 4,976.3, 0.33

142°
3xº + 220
X =
degrees.

Answers

Step-by-step explanation:

hope it will help you market is brilliant

1-tanx/1+tanx=1+sin2x

Answers

are you sure about the ques?

(b) Work out the probability Jennifer hits the Bullseye at least once.


Can someone work this out for me ?

Answers

Answer:

1/2

Step-by-step explanation:

Filling out the tree diagram,

On the first throw, there is a 4/4 = 100%* chance Jennifer hits or misses. Therefore, the chance she misses is equal to the difference between

(chance she hits or misses) - (chance she hits) = 4/4 - 1/4 = 3/4

For the second throw, the chance she hits is independent of whether she hits or misses on the first throw. This means that it does not matter whether she hits or misses on the first throw; her chance to hit the second throw will always be 1/3. Therefore, 1/3 can go into the hit category on each hit line on the second throw, and in the miss category, we can put

100% - 1/3 = 1 - 1/3 = 3/3 - 1/3 = 2/3

For Jennifer to hit the bullseye at least once, she must either:

- Hit and then hit

- Hit and then miss

- Miss and then hit

From this, we can determine that if Jennifer hits the first bullseye, she will have hit it at least once, no matter what. Therefore, Jennifer must either:

- Hit the first one

- Miss and then hit

In probability, OR /either means that we add the probabilties. The probability that she hits the first one is 1/4, and the probability that she misses and then hits is

(probability she misses the 1st one) * (probability she hits the second one). We know to multiply here because both scenarios must happen, and for AND probabilities, we multiply. We thus have

(3/4) * (1/3) = 3/12 = 1/4 as the probabilty that she misses then hits, and 1/4 as the probability that she hits the first one. We add these up to get 1/4 + 1/4 = 2/4 = 1/2 as our probability that she hits the bullseye at least once

* we know 4/4 = 100% because 100% = 1, and anything divided by itself is equal to 1.

Please help me with this I need it

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

Let x represent the fraction of Cheryl's income she spent in September. Then 1-x is the fraction she saved.

In October, her spending increased by 0.2x, and her savings decreased by 0.4(1 -x). Since Cheryl spends or saves all of her income, these two change amounts must be equal:

  0.2x = 0.4(1 -x)

  x = 2(1 -x) . . . . . . multiply by 5 to clear fractions

  x = 2 -2x . . . . . . eliminate parentheses

  3x = 2 . . . . . . . . add 2x

  x = 2/3 . . . . . . divide by 3

Cheryl spent 2/3 of her income in September.

Question 8 If f (2) = (1 + 3) and g (2) VO+ 7, find g (f (x)). 9(f()) = 1 + 10 O g(f ()) = VI + 3 +7 Og(f (x)) = v= + 10 Og(f (2)) = 2? + 10​

Answers

Answer:

x+10

Step-by-step explanation:

f(x) = (x+3)^2 and g(x) = sqrt(x)+7

g(f(x)) =

Replace f(x) in for x in the function g(x)

        = sqrt((x+3)^2)+7

        = x+3 +7

         = x+10

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square? 1 6 8 9

Answers

Answer:

easy

Step-by-step explanation:

8

Answer:

its 8

Step-by-step explanation:

what is the answer to
(35+5)[16+(12÷ 4)]

Answers

12÷4=3| |3+16=19| |35+5=40| 40+19=59|
|if I’m correct the answer to the equation should be 59 <3

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

760

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

x(x - 2) = 4 please help

Answers

Answer:

[tex]x = 1 + \sqrt{5} x = 1 - \sqrt{5} [/tex]

Kenya solved the equation below. Negative 6 (x minus 2) + 3 x = negative 3 (x + 3) + 21 What is the solution to Kenya's equation? –4 12 no solution infinitely many solutions

Answers

Answer: No solution

Step-by-step explanation:

-6(x - 2) + 3x = -3(x + 3) + 21

-6x + 12 + 3x = -3x - 9 + 21

Collect like terms

-6x + 3x + 3x = -9 + 21 - 12

-6x + 6x = - 9 + 9

0 = 0

In this scenario, it can be deduced that there is no solution to Kenya's equation.

Answer:

infinitely many solutions

Step-by-step explanation:

i got it right

Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Find her income tax in a year. ​

Answers

Answer:

With new regime is 183,750Rs

Step-by-step explanation:

I. 75,000 * 13 [12 months + 1 month bonus] = 975,000

II. Ms.Gurung tax rate will be ₹37500 + 15%

III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250

IIII. ₹37500 + 146,250 = 183,750Rs

It depends on how tax rate will costs, could be more or less.

Help please anyoneee

Answers

Answer:

here's the answer to your question

Si confused as to how to solve this

Answers

Answer:

x^2, 10-x , 1.5x -5  

Step-by-step explanation:

find the missing length

Answers

Answer:

it is an rigjt angle triangle you shoult pythogores therom if you will know it it will be easy to you to understand this question

Find the measure of the indicated angle.

Answers

Answer:

i think it the measured of the indicated angle is 55

Help with both plz :)

Answers

Step-by-step explanation:

Concept Required :-

BODMAS

Brackets , Of , Division , Multiplication , Addition , Subtraction .

Solution 9:-

We are here given ,

32 ÷ 10 - 8 ÷ 2 -3

Putting brackets after and before 10 -8

32 ÷ ( 10 - 8 ) ÷ 2 - 3

On simplifying,

32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5

Expression :- 32 ÷ (10 -8) ÷ 2 - 3

Solution 10 :-

We are given,

1/2 × 12 ÷ 2 - 2 + 11

Putting brackets ,

1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113

Expression :- 1/2 × (12 ÷ 2 - 2 ) +11

Step-by-step explanation:

1. 32 ÷ 10 - 8 ÷ 2 - 3

32 ÷ 2 ÷ 2 - 3

16 ÷ 2 - 3

8 - 3

5

2.

½ × 12 + 2 - 2 + 11

6 + 2 - 2 + 11

19 - 2

17

What is the area of this triangle?

Answers

I can't type it I have to solve on a paper for you

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