Mathematics High School

Two people compete in a five-mile go kart race. Person A travels 1/10 miles every 15 seconds while Person B travels 3/8 mile every 48 seconds. Who wins the race? What is the difference of the finish times of the competitors?

Answers

Answer 1

Answer:

a) Person B wins the race.

b) The difference in the finish times of the competitors is 110 s.

Step-by-step explanation:

a) We can find the time that takes Person A and B to finish the race:

Person A:

[tex] t_{F_{A}} = \frac{t_{A}}{d_{A}}*d_{T} [/tex]

Where:

[tex]t_{A}[/tex]: is the time of Person A = 15 s [/tex]

[tex]d_{A}[/tex]: is the distance of Person A = 1/10 miles [/tex]

[tex]d_{T}[/tex]: is the total distance = 5 miles [/tex]

[tex] t_{F_{A}} = \frac{15 s}{1/10 miles}*5 miles = 750 s [/tex]

Person B:

[tex] t_{F_{B}} = \frac{t_{B}}{d_{B}}*d_{T} = \frac{48 s}{3/8 miles}*5 miles = 640 s [/tex]

Hence, Person B wins the race.

b) The difference in the finish times is:

[tex] t_{F_{A}} - t_{F_{B}} = 750 s - 640 s = 110 s [/tex]

Therefore, the difference in the finish times of the competitors is 110 s.

I hope it helps you!

Related Questions

Express (20^2)^1/5 in simplest radical form

Answers

Answer:

3.31445...

Step-by-step explanation:

(20^2) = 400

400 ^ (1/5) = 3.314454017

The answer is 5 /20^2

what does the a in y=a(1+r)x represent?

Answers

Answer:

The function is of the form y = a(1 − r)t, where 1 − r < 1, so it represents exponential decay. Use the decay factor 1 − r to find the rate of decay. Write an equation. Solve for r.

The "a" in the expression y = a (1+r)ˣ represents the initial amount.

What is the expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given, a exponential expression y = a (1+r)ˣ

The exponential growth can alternatively be calculated using the formula f(x) = a(1 + r)ˣ, where the function is denoted by the f(x) term. The initial value of your data is represented by the variable. The growth rate is represented by the r variable.

Therefore, the initial amount is been represented by "a" in the given expression.

Learn more about expressions here:

https://brainly.com/question/14083225

#SPJ2

Explain how to solve the equation
b - 7 = 12

Answers

Answer:

add 7 on both sides. b-7+7=12+7 to eliminate 7. you get b=19. hope this helps.

PLEASE, PLEASE HELP D:
write the linear equation given :

1. slope = 1/4; y-intercept =7

2. slope = -3; y-intercept = 2/3

3. slope = 2/3; y-intercept = 2/3

4. slope = -2; y-intercept = -1/2

5. slope = -3/4; y-intercept = -3

Answers

Answer:

1. y =1/4x + 7

2.y =-3x + 2/3

3. y =2/3x + 2/3

4.y =-2x - 1/2

5.y =-3/4x -3

Step-by-step explanation:

By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b

solve for “x”.

2x = 5

thanks to whoever helps!! :)

Answers

Answer is 2.5 bc u have to divide 5 by 2 then u get ur answer

Answer:

2.5

Step-by-step explanation:

In this equation x is equal to 2.5. I got this answer by dividing both sides of the equation by 2, since we do the opposite operation of how the equation is set up. Have a great day! :)

Someone help worth 5 points

Answers

Answer:

Step-by-step explanation:

Answer:

b 43 on edge 2021.........

On a coordinate plane, point A is (1, negative 2), point B is (2, 1), point C is (3, 1.5), point D is (4, 2).
Point A is rotated 90° counterclockwise around the origin.

Which point is the same distance from the origin as point A?
B
C
D
O

Answers

Answer: A.) B

Step-by-step explanation: i hope this helps you out!

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

The Second One

Step-by-step explanation:

Commutative Property

Write an equation of the line that passes through the pair of points. (0, 1), (5, 3)

Answers

Answer:

Step-by-step explanation:

(3 - 1)/(5 - 0)= 2/5

y - 1 = 2/5(x - 0)

y - 1 = 2/5x - 0

y = 2/5x + 1

I believe the answer is 79 minutes, so you could also say an hour and 19 minutes! Hope this helps! <3

Maria is reading a book that has 237 pages. She
already read some of it last week. She plans to read 30
pages tomorrow. By then, she will be of the way
through the book. How many pages did Maria read
last week?

Answers

Answer:

49 pages

Answers

Answer:

$44,000 is the total budget

The triangles are congruent. Find the measure of x.

Answers

Match up the sides for each triangle using the little marks through the sides

1 to 1, 2 to 2 and 3 to 3

When you do this you see that x corresponds to c on the first triangle.

The 3 angles in a triangle = 180.

Find c by subtracting A and B from 180

C = 180- 29-63 = 88

Now x = c so x = 88

The answer is C. 88

Write and equation for the line graphed below? Use slope-intercept form. ASAP PLSS!

Answers

Answer:

3,5,-5

Step-by-step explanation:

because it on y asix

1) 6c + 7 = 8c - 3

2) -8 (4 + 9x) = 7 (-2 - 11x)

Answers

Answer:

c=5,x=18/5 or 3.6

Step-by-step explanation:

Need help ASAP
Thanks+ BRAINLIST only for correct answers (the answer negative is wrong)

Answers

None those two don’t correlate so I’m pretty sure it’s none

because these are unrelated things, it must be none.

a medium egg has a mass of 50 grams what is the mass of a 8 medium egg
a 40 l
b 400 g
c 40 g
d 400 kg

Answers

Answer:

400 grams.

Step-by-step explanation:

The mass of one medium egg is 50 grams. To solve for 8 medium eggs. Multiply.

50 * 8 = 400

400 grams.

The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.
What is the volume of the pyramid in cubic centimeters?

Answers

Answer:

volume = 13500 [tex]cm^{3}[/tex]

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid = [tex]\frac{lwh}{3}[/tex]

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume = [tex]\frac{30*30*45}{3}[/tex]

= [tex]\frac{40500}{3}[/tex]

= 13500

volume = 13500 [tex]cm^{3}[/tex]

The volume of the pyramid is 13500 [tex]cm^{3}[/tex].

The volume of the square-based pyramid is [tex]13500cm^3[/tex]

The volume of a pyramid is given by

[tex]V=\dfrac{Ah}{3}[/tex]

where

[tex]A=\text{area of the square base}\\h=\text{perpendicular height}[/tex]

The area of the square base, [tex]A[/tex], is calculated as follows

[tex]A=side^2\\=(30cm)^2\\=900cm^2[/tex]

substitute the value of [tex]A[/tex], and [tex]h[/tex] ([tex]45cm[/tex]) into the volume formula to calculate the pyramid's volume

[tex]V=\dfrac{Ah}{3}\\\\=\dfrac{900\times 45}{3}\\\\=13500cm^3[/tex]

Therefore, the volume of the pyramid is [tex]13500cm^3[/tex]

Learn more about volume of pyramids here: https://brainly.com/question/1260835

Please help me!! I'll give Brainliest!! Fairly simple Geometry question!

Answers

the answer is A !!! hope this helped :)))

Answer:

Option A

Step-by-step explanation:

Let's look at the options

A. Equal side lengths and equal diagonal lengths.

Correct

B. Impossible without angle measure.

Incorrect. Option A gives us solution.

C. Equal side lengths and diagonals bisect each other.

Incorrect. This could be a rhombus.

D. Equal side lengths and diagonals.

Incorrect. Diagonals will have a greater length.

A rectangular lunch tray is 33 cm long and 26 cm wide.

What is the area of the tray in square centimeters?

Answers

Answer:

The area of the 858 square centimeters.

Step-by-step explanation:

You multiply 33 by 26 and that gives you the area. You can use the equation lw=a

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