Tom and Harry are racing go-carts.Tom takes 2mins 8seconds to complete a lap while Harry takes 2minutes to complete a lap.They both start from the start line at the same time.when will they next cross the start line together? show all the workings.​

Answers

Answer 1

9514 1404 393

Answer:

  after 32 minutes

Step-by-step explanation:

They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.

The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...

  LCM(120, 128) = 120×128/GCD(120, 128)

  LCM = 120×128/8 = 1920 . . . . . seconds

Converting this to minutes, we get ...

  (1920 s)/(60 s/min) = 32 min

They will next cross the start line together after 32 minutes.


Related Questions

Find the missing length indicatedOk

Answers

Answer:

x = 135

Step-by-step explanation:

If you have a right triangle with legs a =6 and b= 8, what is the value of the hypotenuse? show work.

Answers

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

Given the function, calculate the following values: ​

Answers

Answer:

Step-by-step explanation:

PLZZZZZZ HELP WILL GIVE BRAIN THING AND EXTRA POINTS !What is the least common denominator of the rational expressions below? ​

Answers

Answer:

D is the least common denominator

Using Suitable property Evaluate :

(10)3 – (2)³ – (8)3​

Answers

Answer:

480

Step-by-step explanation:

(10)3- (2)3- (8)3

1000- 8- 512

= 480

Please mark mee brainlist....

Will mark BRAINLIEST!:)

Answers

Answer:

I got 336 units...not sure if im right tho

Step-by-step explanation:

I added all the sides together and got it. (its much more complicated than that tho)


4.8 yd
6 yd
1
4.5 yd
5 yd
7 yd
Find the volume of the composite solid. Round your answer to the nearest hundredth.
A. 244.36 B. 264.79 C. 304.51 D. 330.84

Answers

Answer:

A

Step-by-step explanation:

The composite solid is made up of a cone and a rectangular prism.

Volume of the composite solid = volume of the cone + volume of the rectangular prism

✔️Volume of Cone = ⅓*π*r²*h

Where,

r = 4.8 yd

h = √(6² - 4.8²) = √12.96 = 3.6 yd

Substitute

Volume of cone = ⅓*π*4.8²*3.6

= 86.86 yd²

✔️Volume of rectangular prism = l*b*h

Where,

l = 7 yd

w = 5 yd

h = 4.5 yd

Substitute

Volume of prism = 7*5*4.5 = 157.5 yd²

✔️Volume of composite solid = 86.86 + 157.6 = 244.4 yd² (which is close to 244.36 yd²)

Triangle plz help me find B,b and c​

Answers

Answer:

B = 55°

b = 17.1 (rounded to the nearest tenth)

c = 20.9 (rounded to the nearest tenth)

Sixty out of every 100 pieces of candy is red. Which Indicates the
proportion of red candies? **
60
60/100
60/40
40/100

Answers

Answer:

The proportion of red candies is 60/100.

Step-by-step explanation:

Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:

60 red candies out of 100 total candies

60/100

Therefore, the ratio of red candies is 60/100.

I need help answering this question

Answers

Answer:

I'm pretty sure it's D, sorry if I'm wrong

Step-by-step explanation:

Answer:

I think D

Step-by-step explanation:

Because an experiment is defined as a scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact. This example is testing to see if the mouthwash is effective.

please help, it’s urgent !

Answers

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

= 4

f(-5) = 2 times -5 + 1

= -9

f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

C

Step-by-step explanation:

Rationalize the denominator by multiplying [tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]. The denominator will become 5, while the numerator will be 3[tex]\sqrt{100}[/tex]. This is equal to 30/5, which is 6.

Hope this helps!

pleas help
given parallelogram ABCD find m<ADB​

Answers

Answer:

∠ ADB = 19°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ CDA = 180° - ∠ DAB = 180° - 138° = 42°

Then

∠ ADB + ∠ CDB = 42° , that is

∠ ADB + 23° = 42° ( subtract 23° from both sides )

∠ ADB = 19°

Which expressions are equivalent to -7+3(-4e-3)

Choose all answers that apply:
A. -4(3e+4)
B. 12e
C. None of the above

Answers

Answer: A

-4(3e+4)=

-12e-16

Step-by-step explanation:

-7+3(-4e-3)=

-7-12e-9=

-12e-16

Danielle needs to walk 3 miles. If she wants to reach her destination in 45
minutes ( hour), how fast does she need to walk?
A. 135 miles
per hour
B. 2.25 miles per hour
C. 15 miles per hour
D. 4 miles per hour

Answers

Answer:

4 miles per hour

Step-by-step explanation:

3 miles

Change the 45 minutes to hours

45 minutes * 1 hour/60 minutes = 3/4 hour

3 miles ÷ 3/4 hour

Copy dot flip

3 * 4/3

4 miles per hour

Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.

Answers

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]

[tex]1+a=3[/tex]

[tex]a=3-1[/tex]

[tex]a=2[/tex]

Similarly,

[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]

[tex]2+b=2[/tex]

[tex]b=2-2[/tex]

[tex]b=0[/tex]

And,

[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]

[tex]1+c=-1[/tex]

[tex]c=-1-1[/tex]

[tex]c=-2[/tex]

Hence, the coordinates of vertex S are (2,0,-2).

A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $11 the average
attendance has been 26000. When the price dropped to $8, the average attendance rose to 30000. Find a
demand function D(q), where q is the quantity/number of the spectators. (Assume D(q) is linear)
D(q)
(For best results, keep answers in fraction form, not decimals)

Answers

Answer:

D(q) = -(3)/(4,000)q+19.5

Step-by-step explanation:

Given:

overall capacity = 60000

price in point one = 11

spectators in first point = 26000

second point - price = 8

spectators = 30000

solution:

The demand of a product as a function of its price and other factors such as the prices of the substitutes and complementary goods, income is the expression known as demand function. It is represented by D(q)

we have two points in our line for given ques:

first point of line = (26,000, 11)

second point of line = (30,000, 8)

Slope = (11 - 8)/(26,000 - 30,000)

= (3)/(-4,000)

y = mx + b

here, b = factors influencing demand besides price

m = slope

x = price

10 = (3)/(-4,000) )(26,000) + b

b = 19.5

y = -(3)/(4,000)+19.5

D(q) = -(3)/(4,000)q+19.5


1. One half of a number added to a second
number equals 4. One half of the first
number decreased by the second number
equals zero. Find the two numbers.

Answers

Answer:

(4, 2)

Step-by-step explanation:

½x + y = 4

y = 4 - ½x

½x - y = 0

½x - (4 - ½x) = 0

½x - 4 + ½x = 0

x = 4

y = 4 - ½(4)

y = 2

A roller coaster descended 32.3 ft in one minute. How would you show this using an integer?

A. -32.3
B. +32.3
C. 32.3-
D. 32.3+\

Answers

the answer is A because the roller coaster is decreasing in ft.

Answer:

Step-by-step explanation:

a

find z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850

Answers

Answer:

z-score=2.17

Step-by-step explanation:

We are given that

Mean, [tex]\mu=0[/tex]

Standard deviation, [tex]\sigma=1[/tex]

Probability, p-value=0.9850

We have to find z-score for the standard normal distribution  with mean 0 and standard deviation 1 with the probability 0.9850.

To find the z score for the standard normal distribution we will use z-table.

From z- table we get

p-value =0.9850 when z -score=2.17

[tex]\implies[/tex]z-score corresponding to p-value=2.17

Therefore, the z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850=2.17

Javier jogs 3/4 of a mile in 8/1/2 minutes.

If he keeps the same pace, how many minutes will it take him to jog 1 mile?

Answers

Answer:

11 1/3 minutes per mile.

Step-by-step explanation:

3/4 miles jogged in 8 1/2 minutes.

So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3  = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile

Answer:

x = 11 1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

3/4 mile              1 mile

----------------- = --------------

8 1/2 minutes        x minutes

Using cross products

3/4 *x = 8 1/2

Multiply each side by 4/3

4/3 * 3/4x = 8 1/2 * 4/3

x = 17/2 * 4/3

x = 34/3

x = 11 1/3

What is the probability that the sample mean would differ from the true mean by greater than 1.9 dollars if a sample of 92 5-gallon pails is randomly selected

Answers

Answer:

The correct solution is "0.0226".

Step-by-step explanation:

The given question seems to be incomplete. Please find below the attachment of the complete query.

According to the question,

Mean

= 29

Standard deviation (s),

= 8

For sample size pf 92,

The standard error will be:

[tex]SE=\frac{s}{\sqrt{N} }[/tex]

     [tex]=\frac{8}{\sqrt{92} }[/tex]

     [tex]=0.834[/tex]

now,

⇒ [tex]1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )[/tex] = [tex]1-P(-2.28<z<2.28)[/tex]

or,

                                          = [tex]1-(2\times P(z<2.28)-1)[/tex]

                                          = [tex]2-2\times P(z<2.28)[/tex]

With the help of table, the normal distribution will be:

=  [tex]2-2\times 0.9887[/tex]

= [tex]0.0226[/tex]

I’ll give you Brainliest if you answer this!

Answers

Answer:

17

Step-by-step explanation:

The side length of an equilateral triangle is x + 3. Write an expression for the perimeter of the triangle. *

Answers

Answer:

Perimeter = (x+3) * 3 =    3x+9

Step-by-step explanation:

(x+3) would be multiplied by 3 in order to account for each of the three sides of the equilateral triangle-

The expression for the perimeter of the triangle is 3x+9.To find the expression for the perimeter of the triangle.

What is the perimeter?

Perimeter is the distance around the edge of a shape. The continuous line forms the boundary of a closed geometrical figure.In an equilateral triangle, all 3 sides are the same length, so the equation would look something like this:

P=the perimeter of the triangle

(x+3)=length of each side

P=3(x+3)

To simplify further, distribute the 3 to both the x and the 3 inside of the parentheses, getting

P=3x+9.

So, the expression for the perimeter of the triangle is 3x+9.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ2

Will mark BRAINLIEST !

Answers

Step-by-step explanation:

if u like this answer plz mark as brainlist

Angle formed by each blade = 40°

So, total angle formed by 3 blades

= 40° × 3 = 120°

Total angle of a circle = 360°

Ratio of angle formed by total circle to angle formed by the 3 blades

= 360° : 120°

= 360 : 120

= 3 : 1

Total area of circle

= πr²

= π(3m)²

= π9m²

Let the area of blades be x.

So, area of total circle : x = 3 : 1

= π9m² : x = 3 : 1

= π9m²/x = 3/1

= π9m²/3 = x/1

= π9m²/3 = x

= π3m² = x

So, the area of all three blades is π3m².

It's camping season! Ernie and Bert set up their tents 15 m from
each other. Ernie has Tent 1 and Bert has Tent 2. The angle
between the line of sight from Bert's tent to the shower and the
line of sight from Bert's tent to Ernie's tent is 78 degrees. If
Ernie's tent is 19m away from the shower, is Bert 's tent closer or
further away from the shower and by how much? In your
calculations, round your angles to the nearest whole degree and
side measurements to the nearest tenth of a metre.
1
2

Answers

Answer:

The answer is "21.6".

Step-by-step explanation:

Let A stand for tent 1

Let B stand for tent 2

Let C be a shower

Using cosine formula:  

[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]

  [tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]

Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:

Tent 2 Distance to Dusk = 21.6m

Bert's tent is 21.6m away from the shower

Which of these statements is true for f(x) = 2 · 3x?

Answers

Answer:

the statement number D okay!

The y-intercept of the function will be at (0, 2). Then the correct option is A.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function is given below.

y = 2·(3)ˣ

The value of y at x = 0, we have

y = 2·3⁰

y = 2·1

y = 2

The y-intercept of the function will be at (0, 2).

Then the correct option is A.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ5

Determine the difference. 3/4 – 5/16 =?

Answers

Answer:

[tex]\frac{3}{4} -\frac{5}{16} =\frac{3(4)}{4(4)} =\frac{5}{16} =\frac{12}{16} -\frac{5}{16} =\frac{7}{16}[/tex]

Answer:

7/16

Step-by-step explanation:

3/4 - 5/16

Get a common denominator of 16

3/4 *4/4  -5/16

12/16 - 5/16

7/16

PLEASE HELP ME NOW PLEASE

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Angle U is supplementary to the arc intercepted by the tangents.

  5x +10 = 180 -110

  5x = 60 . . . . . . subtract 10 and simplify

  x = 12 . . . . . . . . divide by 5

Consider Line 1 with the equation: x = − 17 Give the equation of the line parallel to Line 1 which passes through ( 3 , 8 ) :

Answers

Answer:

what is thisssss

Step-by-step explanation:

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