David y Lorena montan bicicleta en circuitos de 6 km y 8 km respectivamente, pero estos circuitos tienen el mismo punto de partida. Si parten al mismo tiempo y recorren la misma distancia en el mismo tiempo, ¿después de cuántos kilómetros se vuelven a encontrar?

Answers

Answer 1

Answer:

Después de 24 kilómetros David y Lorena se vuelven a encontrar.

Step-by-step explanation:

El mínimo común múltiplo o también denominado cómo mcm, es el menor de los múltiplos comunes de varios números. Es decir, el mínimo común múltiplo de dos números o más números es el número más pequeño que es múltiplo de cada uno de los números.

Los múltiplos de un número son los que se obtienen cuando lo multiplicas por otros números. Un múltiplo común es un número que es múltiplo a la vez de dos o más números, es decir, es un múltiplo común a esos números.

Un método para calcular el mcm consiste en escribir los primeros múltiplos de cada número, señalar los múltiplos que sean comunes y elegir el múltiplo común más pequeño. En este caso:

6: 6; 12; 18; 24; 30; 36

8: 8; 16; 24; 32; 40; 48

Entonces el mcm entre 6 y 8 es 24.

Otro método para calcular el mcm consiste en descomponer en factores primos cada número. Después se debe elegir los factores comunes y no comunes elevados al mayor exponente y por último, multiplicar los factores elegidos.

Descomposición de 6= 2*3

Descomposición de 8= 2³

Entonces el mcm entre 6 y 8 es calculado como 2³*3 y da como resultado 24.

Entonces, después de 24 kilómetros David y Lorena se vuelven a encontrar.


Related Questions

If the arc measure is 90 degrees and the diameter of the circle is 10, what is the arc length?

Answers

Answer:

2.5π

Step-by-step explanation:

First, let's find the circumference of the circle. The circumference is equal to dπ, or the diameter times π.

Knowing the diameter is 10, we can easily find that the circumference is 10π.

10π is the entire circumference, but we only need 90° of the circle. If the whole circle is 360°, then that means the portion we need is 90°/360°, which is 1/4.

1/4 times 10π is equal to 2.5π.

2.5π is the arc length.

I need help ASAP


1. A student's tuition was $2,575. If a scholarship paid for 3/5 of the tuition, how much was left for the student to pay?​

Answers

$1,030

Multiply by the numerator of the fraction, then divide by the denominator.

2575 x 3 = 7725/5 = 1545 is 3/5 of the tuition.
2575 - 1545 = $1,030

Or multiply $2575 x 2/5 (what isn’t paid by the scholarship) =5150/5 = $1,030

Two ways to get the same answer. Use the one that makes the most sense to you.

The circumference of a circle is 94.2 millimeters. What is the circle's radius?

Answers

Answer:

14.99

Step-by-step explanation:

The radius of the circle is 15milimeters

HELP MEEEEE PLEASEEEEEE

Answers

Answer:

8.6

Step-by-step explanation:

There is an easier way which is finding the slope of the equation but I'm going to stick to distance formula(which is easier for me).

For this, you would have to know the distance formula which is

d=√(x2−x1)^2+(y2−y1)^2

Which simplifies into [tex]\sqrt{(7)^2 +(5)^2}[/tex] which you get from 6-(-1) and -2-(-7)

Further simplifies into [tex]\sqrt{49+25}[/tex]

=[tex]\sqrt{74}[/tex]

=8.602325

use the distance formula:

√ ( x2 - x1 )² + ( y2 - y1 )²

√ ( 6 - ( - 1 ) )² + ( - 2 - ( - 7 ) )²

√ ( 7 )² + ( 5 )²

√ 49 +25

√ 74

8.602325267

8.6 is the answer

Find the length indicated please!!

Answers

?=4

explanation:

the whole thing is 13, and it’s split in 2 sections. section 1 is 9, so to find the length of section 2, you would do 13-9=4.

Use long division to find each quotient. Show your computation and write your answer as a decimal.

a. 22÷5 b. 7÷8

Answers

A= 4.4 B= 0.875 should be the answers

What is the surface area of this rectangular prism, in square meters? 3 m 7 m 13 m​

Answers

Answer:

302

Step-by-step explanation:

7*13*2 + 3*7*2 + 3*13*2 = 302

please help due 15 min hurry

Answers

The equation of the coordinates (-12,-3) is y=4/3x+13

The perpendicular line of y=4/3x+13
Is y=-3/4x

Hope this’ll help

The graph of f(x)=x^2 is shown. Use the parabola tool to graph the function g(x)=(1/2x)^2 . To graph a parabola, first plot the vertex then plot another point on the parabola.

Answers

Answer:

ik im late but the answer (for k12, right?) is 0, 0 and 2, 1

Answer: The vertex is (0,0) and another plot could be (4,4)

Step-by-step explanation:

In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
the length of NO to the nearest tenth of a foot.
N
38
X
M
87

Answers

Answer:

30.4

Step-by-step explanation:

What is the volume of the circular cylinder if height is 25 and circumference 12

Answers

Answer:

V = 900π ≈ 286.47 units³

Step-by-step explanation:

C = 2πr

12 = 2πr

r = 12/2π = 6/π

V = 2πr²h

V = π(6/π)²(25) = π(36/π²)(25)

V = 36/π(25) = 900/π ≈ 286.47

. Neve is examining a tree limb. She notices that the smaller branches spiral away from the larger limb. The limb has 1 branch, then another single branch. After that, the branches spiral in the pattern {2, 3, 5, 8, …}. Can you model the tree growth with the Fibonacci sequence? Explain.

Answers

Answer:

[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]

Step-by-step explanation:

Given: The smaller branches spiral in the pattern [tex]\{2,3,5,8,...\}[/tex] from a larger limb.

To model: the tree growth with the Fibonacci sequence

Solution:

Take [tex]a_1=2[/tex]

Let [tex]a_n[/tex] denotes the [tex]n^{th}[/tex] term.

[tex]a_2=3=2+1=2+(2-1)=a_1+(2-1)\\a_3=5=3+2=3+(3-1)=a_2+(3-1)\\a_4=8=5+3=5+(4-1)=a_3+(4-1)[/tex]

So,

[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]

Answer:

Yes.

Step-by-step explanation:

The pattern in which the branches are growing off the limb is {1, 1, 2, 3, 5, 8, …}, meaning you can use the model with tree growth.

Rebecca solved
√45 + 2 √20. Her answer was 5 √5 . Is she correct? If not, explain and correct the error.

Answers

No.

[tex]\sqrt{45}=3\sqrt{5} \\2\sqrt{20} =2\sqrt5}[/tex]

If you add them up you DO NOT GET [tex]5\sqrt{5}.[/tex] According to mathematics, it equals to [tex]7\sqrt{5}[/tex].

What is the 18th term in this sequence?
5. 11, 17, 23. ...

Answers

u add 6 to every number each time
5,11,17,23,29,35,41,47,53,59,65,71,78,84,90,96,101,108
108 is the 18th term

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 8 years?

Answers

Answer:

$90

Step-by-step explanation:

Given data

Price= $900

Rate= 25%

Time= 8 years

Let us apply the compounding formula

A= P(1-r)^t    >>>>note that the negative sign is because of the depreciation

substitute

A= 900(1-0.25)^8

A= 900(0.75)^8

A= 900*0.100

A= $90

Hence the value of the car after 8 years will be  $90

what's equivalent to y-1=-5(x-4). A,y=-5x-19. B,y=-5x+19 C,y=-5x-21 D,y=-5+21

Answers

Answer:

it must be y=-5x+21

Step-by-step explanation:

lets type the equation in front of us and make it simple so we can deal with it

y-1=-5(x-4)

first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this

y-1=-5x+20             -5*x=-5,,  -5*-4=20 (note: when you multiply negative with

                                                               negative result is positive)

then add each side by 1 so it will be

y=-5x+21

Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wrap around the can?

Answers

Answer:

218 cm²

Step-by-step explanation:

Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can?

The formula to solve the above question is given as:

The curved or the lateral surface area of the cylinder = 2πrh

Where:

r = 3.4 cm

h = 10.2 cm

The curved or the lateral surface area of the cylinder = 2 × π × 3.4 cm × 10.2 cm

= 217.9 cm²

Therefore, the approximate area of the label that wraps around the can is

218 cm².

answer this please. :/

Answers

im thinking its d because theres 5 3s & u count them all & theres 10 which is 5/10 & u simply that & it is 1/2

Answer:

1/2

Step-by-step explanation:

25% of what is 84? help me and my other questions, please.

Answers

Answer:

25% of 84 = 21

Step-by-step explanation:

Can I please have the answers ASAP

-10+4=
-7-11=

Answers

Answer: for -10 + 4 the answer is -6

for -7 - 11 the answer is -18

Step-by-step explanation:

For -10+4 all you do is start at -10 and go up 4 to -6 (-9, -8, -7, -6)

and for -7 - 11 you start at 7 and just go down (but the numbers get bigger) to -18 (-8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18)

Kyle earns $68.75 for mowing 3 lawns.
How much will he earn for mowing 8 lawns?

Answers

Answer:

I think the answer is 183.28

Step-by-step explanation: I divided 68.75 by 3 and got 22.91

so I multiplied 22.91 and 9.

Given the series 2+ 6 + 18+
*
use an appropriate formula to find S12.

Please put full solution.

Answers

Answer: Samsung Galaxy S12

Answer:

S₁₂ = 531440

Step-by-step explanation:

There is a common ratio between consecutive terms, that is

r = 6 ÷ 2 = 18 ÷ 6 = 3

This indicates the sequence is geometric with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex] ( r ≠ 1 )

where a is the first term and r the common ratio

Here a = 2 and r = 3 , then

S₁₂ = [tex]\frac{2(3^{12}-1) }{3-1}[/tex]

     = [tex]\frac{2(531441-1)}{2}[/tex]

     = 531441 - 1

     = 531440

Can someone plz help me with this one problem plzzzzz

I’m Marking Brainliest!!!

Answers

19
23
25
Hope this helps, I’ll give an explanation if you want

If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.


f(h + 9)

Answers

Answer:

Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)

The required value of each function is

f(h + 9) = 2(h + 6)

g(h + 9) = -(2h + 19)(h - 9)

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Now the given functions are,

f(x) = 2x – 6

g(x) = x – 2x²

Now putting x = h + 9 in f(x) and g(x)we get,

f(h + 9) = 2(h + 9) – 6

⇒ f(h + 9) = 2h + 18 – 6

⇒ f(h + 9) = 2h + 12

⇒ f(h + 9) = 2(h + 6)

and

g(h + 9) = (h + 9) – 2(h + 9)²

⇒ g(h + 9) = h + 9 – 2(h² + 81 + 18h)

⇒ g(h + 9) = h + 9 – 2h² + 162 + 36h

⇒ g(h + 9) = -2h² + 37h + 171

⇒ g(h + 9) = -(2h + 19)(h - 9)

Thus, the required value of each function is

f(h + 9) = 2(h + 6)

g(h + 9) = -(2h + 19)(h - 9)

To learn more about function :

https://brainly.com/question/17068704

#SPJ2

earn 5 coins Which of the algebraic expressions below is equal to 20? Select all that apply. A) (5)(0.6) x 7 B) (C) (15) + 8 C) 4. (8 + 2) = 2 D) 14 + 4(2 + 3)​

Answers

Answer:

A) (5)(0.6) x 7  = 3 x 7 =21

B) (C) (15) + 8

C) 4. (8 + 2) = 2  = 4(10)

D) 14 + 4(2 + 3)​  = 14 + 4(5) = 14 + 20 =34

Sorry not clear your question

Step-by-step explanation:

When the door was left open, 36 pigeons flew the coop. If this was 40 percent of all the pigeons, how many pigeons were there originally?​

Answers

Answer: 90

Step-by-step explanation:

40 % = 0.40. X = number of pigeons. 0.4x =36

X = 36/0.4 = 90

Help please I really need it!!!

Answers

X=-4
X-2=2x+2
Subtract 2 and x from both sides to get
-4=1x

A cylinder has a base with a radius of 7 cm and a volume of 615.44 cm3. Use 3.14 for π . Write and solve an equation to find the height of the cylinder.

Answers

Answer:

The height is 4 cm

Step-by-step explanation:

V = (pie) x radius² x height

615.44 cm³ = (3.14) x 7² x h

h = 615.44 cm³/(3.14 x 49)

h = 615.44 cm³/153.86

h = 4 cm²

the minimum charge the first 175 calls is rs 300 if the charge for each additional call is rs 350 how much is charge for 389 telephone calls​

Answers

Answer:

136150

Step-by-step explanation:

One additional charge is 350

389 call charge-(350x389)

Therefore, total charge is 136150.

Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space, m, m, end text, and 7\text{ mm}7 mm7, start text, space, m, m, end text. It has three acute angles. Complete the sentence to describe the triangle Lauren drew. Lauren's triangle is

Answers

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

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