Juan and Mahdi are to run a race, but Juan can run 18 meters per second, whereas Mahdi can run 6 meters per second. If Mahdi has a 228 -meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time? Round your answer to the nearest whole number.

Answers

Answer 1

Answer:

  19 seconds

Step-by-step explanation:

You want to know the time it takes for Juan, running 18 m/s, to overtake Mahdi, running 6 m/s, if Mahdi has a 228 meter head start.

Closing time

The time to close the gap between the runners will be ...

  time = distance/speed

  time = (228 m)/(difference in speeds) = (228 m)/(18 m/s -6 m/s)

  time = (228 m)/(12 m/s) = (228/12) s = 19 s

It will take Juan 19 seconds to catch Mahdi.

__

Additional comment

The fastest human runner will not exceed 12.3 meters per second, especially over a 300+ meter distance.


Related Questions

What is the decimal rule?

1.2 x (-5) = ?

I got -60 but it’s saying it’s the incorrect answer and I’m not sure what I’m doing wrong.

Answers

Answer:

-6

Step-by-step explanation:

1 x -5 is still -5, and the do .2 x -5 = -1 -1+-5= -6

What is (−114)(52)(−4)?
−23,712
−2,792
2,792
23,712

Answers

Answer:

Step-by-step explanation:

multiplication no need to care about order

(-114)(52*4)

=(-114)(208)

=(-100-10-4)(200+8)

=-20000-800-2000-80-800-32

=-23712

The product of the given numbers is 23,712.

The given expression is (−114)(52)(−4).

We need to evaluate the given expression.

What are integers multiplication rules?

The rules for integer multiplication are as follows:

The product of two positive integers is always positive.The product of two negative integers is always positive.The product of one positive integer and one negative integer is always negative.

Now, (−114)(52)(−4) can be evaluated as follows:

(−114)×(52)=-5,928

So, (-5,928)×(-4)=23,712

Therefore, the product of the given numbers is 23,712.

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Algebra 1 > J.7 Solve linear equations: complete the solution EVP
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11d4 14 = -7
11d 18 = -7
Submit
11d =
d =
Subtract 4 from both sides
Add 4 to both sides
Subtract 4 from both sides
Work it

Answers

Given: 11d-4-14=-7

1.) 11d-(18)=-7

We combined like terms, in this case the constants -4 and -14. -4-14 = -(14+4) = -18. So, first step is -4-14.

2.) 11d=11

The additive inverse of -18 is 18, so we canceled it out from the left and combined it with the content of -7 on the right to isolate 11d.

3.) d=1

We divided 11d by 11 to cancel it out, and we divided 11 by 11 on the left.

8. A figure has two pairs of parallel sides and four right angles. The figure is
translated 4 units down. How many parallel sides does the image have?

Answers

The image would also have two pairs of parallel sides

How many parallel sides does the image have?

The given parameters are:

Two pairs of parallel sides Four right angles. Translation down by 4 units  

The translation transformation is a rigid transformation

This means that, it keeps the orientation that is being transformed

The initial figure has two pairs of parallel sides

Hence, the image would also have two pairs of parallel sides

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Solve this problem please.

Answers

∑ Hey, shadowwolf9764 ⊃

Answer:

1.52545155993

Round if needed: 1.53

Step-by-step explanation:

Given:

[tex]\frac{0.128\div 3.2+0.86}{\frac{5}{6}\cdot 1.2+0.8}+\frac{\left(1\:\frac{32}{63}-\frac{13}{21}\cdot 3.6\right)}{0.505\cdot \frac{2}{5}-0.002}[/tex]

Solution:

Convert Mixed Number to a improper fraction:

[tex]1\frac{32}{63}=\frac{95}{63}[/tex]

Now we have;

[tex]=\frac{\frac{0.128}{3.2+0.86}}{\frac{5}{6}\cdot \:1.2+0.8}+\frac{95}{63}[/tex]

Solving the first part:

[tex]\frac{\frac{0.128}{3.2+0.86}}{\frac{5}{6}\cdot \:1.2+0.8}=\frac{0.128}{7.308}[/tex]

Then we have;

[tex]=\frac{0.128}{7.308}+\frac{95}{63}[/tex]

Least common factor: 460.404

[tex]=\frac{8.064}{460.404}+\frac{694.26}{460.404}[/tex]

Now using this formula: [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{8.064+694.26}{460.404}[/tex]

Adding the numbers:

[tex]=\frac{702.324}{460.404}[/tex]

Next divide the numbers:

[tex]1.52545155993[/tex]

Hence, the answer is:

[tex]1.52545155993[/tex]

Round if needed:

[tex]1.53[/tex]

xcookiex12

9/4/2022

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orentation.
2. Construct Arguments Triangle L'M'N' is the
image of triangle LMN after a translation. How
are the side lengths and angle measures of the
triangles related? Explain.

Answers

A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rules that maps the other vertices of the figure to their images is T<-2, -7> (x,y).

What are coordinates?

A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.

In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.

Therefore, the rule that maps the other vertices of the figure to their images is, (x¹,y¹)=(x-2,y-7), or it can bse written as T<-2,-7> (x, y),

where x¹ and y¹ are the coordinates of the points after transliteration.

Hence, the rule that maps the other vertices of the figure to their images is T<-2,-7> (x, y,).

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Please help me redo this vin diagram. I will give a Brainly and extra pouts.

Answers

Answer:

  see attached

Step-by-step explanation:

You want a Venn diagram that represents the flavor preferences of 135 students.

Venn Diagram

The diagram you show is a good start. It usually works best to start by filling in the center spot, where all three circles overlap. You have correctly identified the number liking all three flavors as 15.

Working outward, the next step is to fill in the numbers for those who like two flavors. These numbers already include the number who like all three. This means ...

  caramel + vanilla (only) = (caramel + vanilla) (28) - (caramel +vanilla +chocolate (15)

  caramel + vanilla (only) = 28 -15 = 13

Similar computations are done for the other "likes 2 only" spots on the diagram:

  chocolate + caramel (only) = 31 -15 = 16

  chocolate + vanilla (only) = 22 -15 = 7

In like fashion, the numbers for one flavor only need to subtract out the numbers already inside the circle for that flavor.

  chocolate (only) = 63 -16 -15 -7 = 25

Finally, the number of students having no preference is found by subtracting the numbers inside the parts of the circles from the total number of students:

  no preference = 135 -111 = 24

The attachment shows the completed diagram.

Directions: Write the following in set-builder notation. Input your answer inside the box provided for each given. Do not put a space in between symbols in your answer. Follow the format of the given example below.

1. A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. E is the set of letters in the word “notation”.

Answers

Answer:

1. A = {x:x is the set of natural number <= 10}

2. E = {x:x is the set of natural number <= 8}

For runners in a race it is more desirable to have a high percentile for speed. A high percentile means a higher speed which is faster. 40% of runners ran at speeds of 7.5 miles per hour or less (slower). 60% of runners ran at speeds of 7.5 miles per hour or more (faster).

Answers

A scalar quantity, speed is defined as the size of the change in an object's or particle's location over time or the size of the change in an object's position per unit of time.

In statistics, a percentile (or centile) is a metric that expresses the value at or below which a specified percentage of observations in a collection of observations fall. The value (or score) below which 20% of the observations may be found is called the 20th percentile, for instance.

A higher percentile for speed is preferable for runners in a race. A high percentile indicates a faster, greater speed.

40% of athletes completed their runs at 7.5 mph or less (slower). 60% of athletes covered at least 7.5 miles per hour (faster).

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f(x) =2x | g(x)=-8x+2 | h(x)=x^2+x+3

Find f(g(6))

Find g(h(-4))

Find g((f)x)

With how you solved it please! (Will give first correct answer brainliest

Answers

Step-by-step explanation:

f(x) = 2x

g(x) = -8x + 2

h(x) = x² + x + 3

= f(g(6))

= 2x

= 2.(-8x + 2)

= 2.(-8.6 + 2)

= 2.(-48 + 2)

= 2.(-46)

= -92

= g(h(-4))

= -8x + 2

= -8.(x² + x + 3) + 2

= -8.((-4)² + (-4) + 3) + 2

= -8.(16 - 1) + 2

= -8.15 + 2

= -120 + 2

= -118

= g(f(x))

= -8x + 2

= -8.(2x) + 2

= -16x + 2

❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)

Answers

Answer:

m will be the right answer

Geometry study guide help? I will give brainliest.

Answers

khan academy should be helpful if u don’t understand!

392,153 rounded to the nearest hundred thousand

Answers

Answer:

Step-by-step explanation:

400,000

6. What is the area in square feet of a 100 yard by 60 yard foot-
ball field?

Answers

Answer:

6000 [tex]yd^{2}[/tex]

Step-by-step explanation:

Take the length and multiply it by the width.

100 x 60 = 6000

Answer:6,000 yards

Step-by-step explanation:

100 yards x 60 yards = 6,000yards

2d+\sqrt[3]{-45d} d=75

Answers

Answer:

Given d = 75, respectively,

135

Step-by-step explanation:

[tex]2\left(75\right) = 2 \cdot 75\\= 150\\\\\sqrt[3]{-45\left(75\right)}\\\left(75\right)=75\\\sqrt[3]{-45\cdot \:75}\\45\cdot \:75=3375\\\sqrt[3]{-3375}\\\sqrt[3]{-3375}=-\sqrt[3]{3375}\\-\sqrt[3]{3375}\\-\sqrt[3]{15^3}\\\sqrt[3]{15^3}=15\\=15\\\\=150-15\\=135[/tex]

1 N b In Fig. R49 b, PT is a tangent at T to circle LMNT such that PT || LN. i Show that ANTL is isosceles. ii Find NTM. T M 498 L 36° P​

Answers

Answer:

don't know that i'm looking for that to

Please help find the range

Answers

Answer:

Any Nber between 0-58 or 1-59

Step-by-step explanation:

Well you are already given the range which is 58. The question is asking for two number that are in the range. The range 58 means it can't be greater than 59. The range is how far apart the great y vaule is from the lowest y vaule.

Hope this helps!

Have any questions? Feel free to ask

Convert 10.6% to a fraction in the lowest terms.

Answers

Convert 10.6% to a fraction in the lowest terms? 10.6%=53/500

10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.

To convert 10.6% to a fraction in the lowest terms, we divide the percentage by 100 and simplify if necessary.

10.6% can be written as 10.6/100.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10.6 in this case.

10.6/100

= (10.6 ÷ 10.6) / (100 ÷ 10.6)

= 1/9.43

Since 1 and 9.43 do not share any common factors other than 1, the fraction 1/9.43 is already in its lowest terms.

Therefore, 10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.

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Hey bestieee!!!
What is a^2 + 3b
When a = 2
And b = 3

Answers

Answer:13

Step-by-step explanation:(2)²+3(3)=4+9=13

Answer:

2a^n+ 3b

Differentiate w.r.t a

2na^n - 1

                                                   

= 13

your history teacher gives you a list of eight study questions. five of the eight will be on the test how many combinations of five can the teacher choose from the eight questions

Answers

The number of combinations of five can the teacher choose from the eight questions is 56

How to determine the number of combinations?

The given parameters are

Total questions, n = 8

Selected question, r = 5

The number of combinations of five can the teacher choose from the eight questions is calculated using

Combination = [tex]^nC_r[/tex]

This gives

Combination = [tex]^8C_5[/tex]

Apply the combination formula

Combination = 8!/3!5!

Evaluate

Combination = 56

Hence, the number of combinations of five can the teacher choose from the eight questions is 56

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1/2(x + 6) = 1/2x - 9

Answers

Answer:

i think the question might be wrong.

Given the equation, we can solve through steps:

1. Distribute

1/2 • x = 1/2x
1/2 • 6 = 3

2. Simplify

1/2x + 3 = 1/2x - 9

3. Add 3 to both sides

1/2x + 3 + 3 = 1/2x - 9 + 3

Step 4. Simplify

1/2x + 6 = 1/2x - 6

We have our solution: there is no solution. The coefficients are of a common value and the constant is comprised of opposite integers.

100 more than 365 is equal to 65more then

Answers

Answer:

x = 400

Step-by-step explanation:

100 more than 365 is equal to 65more then

we can solve with an equation

100 + 365 = 65 + x

100 + 365 - 65 = x

465 - 65 = x

400 = x

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

check

100 + 365 = 65 + 400

465 = 465

the answer is good

= How many gallons of a 60% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 50% antifreeze?​

Answers

Answer:

120

Step-by-step explanation:

60 gallons of 30% antifreeze means there are 18 gallons of antifreeze.

Let the number of gallons of 60% antifreeze be x. Then,

[tex]\frac{0.6x+18}{x+60}=\frac{1}{2} \\ \\ 1.2x+36=x+60 \\ \\ 0.2x=24 \\ \\ x=129[/tex]

A rectangle has a perimeter of 50 feet. The length is 5 feet more than the width. Find the width and length of the rectangle.

Answers

The width of the rectangle = 10 ft

The length of the rectangle = 15 ft.

What is the Perimeter of a Rectangle?

The formula for the perimeter of a rectangle is given as:

Perimeter = 2(length + width).

Let x represent the width of the rectangle

Width of the rectangle = x

Length of the rectangle = x + 5

Perimeter of the rectangle = 50 ft

Thus, we would have the following equation:

2(x + 5 + x) = 50

2(2x + 5) = 50

4x + 10 = 50

4x = 50 - 10

4x = 40

4x/4 = 40/4

x = 10

Width of the rectangle = x = 10 ft

Length of the rectangle = x + 5 = 10 + 5 = 15 ft.

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-12[tex]-12\ \textless \ \frac{1}{2}\left(4x+16\right)\ \textless \ 18[/tex]

Answers

The solution to the given inequality is -10 < x < 5.

How to solve a compound inequality involving the and operation?


To solve a compound inequality involving the and operation, we solve each inequality, then find the intersection of these solutions.

For this problem, the inequality is given by:

-12 < 0.5(4x + 16) < 18.

Multiplying all the terms by 2:

-24 < 4x + 16 < 36

Hence:

4x + 16 > -24

4x > -40

x > -10.

4x + 16 < 36

4x < 20

x < 5

The intersection of these two solutions is:

-10 < x < 5.

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Write the first trigonometric function in terms of the second for in the given quadrant. (No theta symbol so used word)

sec(theta), tan(theta); theta in Quadrant IV

sec(theta) =

Answers

The expression of [tex] \mathbf{sec( \theta)}[/tex] in terms of [tex]tan( \theta)[/tex] in Quadrant IV is presented as follows;

[tex] sec( \theta) = \sqrt{{tan( \theta)}^{2} + 1} [/tex]

Which trigonometric identity can be used to express the required function?

The given trigonometric functions are;

[tex]sec( \theta)[/tex]

[tex]tan( \theta)[/tex]

[tex] {sec( \theta)}^{2} = {tan( \theta)}^{2} + 1[/tex]

In Quadrant IV, the tangent of an angle is -ve, while the secant is +ve

However, the square of -ve is positive;

(-ve)² = +ve

Therefore;

[tex] \left({tan( \theta)}^{2} + 1 \right) \: is \: positive[/tex]

Which gives;

[tex] sec( \theta) = \sqrt{{tan( \theta)}^{2} + 1} [/tex]

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(2+i)-(5-4i)

Find the difference of the following expression

Answers

Answer:

-3 + 5i

Step-by-step explanation:

We can remove the parentheses

2 + i - 5 + 4i

Collect the like terms and do the math

-3i + 5i

Evaluate the following expression if a = -3 and b = 4. Square root 361 - 2a2 - [b - 17]

Answers

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

What is the numerical value of the expression?

Given that;

√361 - 2a² - [b - 17]a = -3b = 4

To determine the numerical value of the expression, replace all the occurrence of a and b with -3 and 4 in the respectively and simplify.

√361 - 2a² - [b - 17]

√361 - 2(-3)² - [(4) - 17]

√361 - 2(9) - [4 - 17]

√361 - 18 - [-13]

√361 - 18 + 13

19 - 18 + 13

1 + 13

14

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

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1. Factor by grouping
a² + ab - 56b²

Answers

Answer: (a-7b)(a+8b)

Step-by-step explanation:

a² + ab - 56b²=

a² + 8ab -7ab - 56b²=

a(a+8b) -7b(a+8b)=(a-7b)(a+8b)

a restaurant offers a $12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?

a meanl can be chosen __ ways​

Answers

a meal can be chosen is 546 different ways.

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