you are a beginner cyclist, so you typically ride at a speed of 12 miles per hour. your friend who has more experience and training with cycling rides at a speed of 16 miles per hour. one day you two decide to race, but because you are less experienced, your friend tells you that they will give you a three minute head start on the race.
how far can you ride before your friend catches up to you? write the system for this problem.

Answers

Answer 1

Answer:

Answer given below

Step-by-step explanation:

36, 48, 60....

16, 32, 48...

48 common in both.

Both will meet at 48 miles

So answer is 48 miles


Related Questions

Common factors for 18 and 54 and 29 and 39 with a GCF for each pair I'll give brainlest​

Answers

Answer:

1

Step-by-step explanation:

Common factors of:

18: 1,2,3,6,9,18

54: 1,2,3,6,9,18,27,54

29: 1,29

39: 1,3,13,39

GCF is 1

Answer: See explanation

Step-by-step explanation:

A factor is one of two or more numbers that divides a given number without a remainder.

18: 1, 2, 3, 6, 9, 18

54: 1, 2, 3, 6, 9, 18, 27, 54

GCF of 18 & 54: 18

29: 1

39: 1, 3, 13, 39

GCF of 29 & 39: 1

If you're asking for the GCF of all these numbers, its 1



What happens to the distance between each billiard ball during this rigid

transformation?

Answers

The question is incomplete. Here is the complete question.

To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?

A. The distance remains constant throughout the transformation.

B. The distance decreases at the start and increases after all motion stops.

C. The distance stays the same at the start but decreasesexactly when motion ends.

D. The distance increases at the start and then decreases as the rack gets further from the player.

Answer: A. The distance remains constant throughout the transformation.

Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:

1)  relative distance between them stays the same and

2) relative position of the points stays the same

There are four types of rigid motions: translation, rotation, reflexion and glide reflection.

Translation: every point or object is moved by the same amount and in the same direction;

Rotation: the object rotates by the same amount around a fixed point;

Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;

Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.

In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.

Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.

how much did he spend on the cookir

Answers

69 69

69 69

69 69 hdgduguedkjeqkd

edhlhiiiiiiiiiiiiiiiiiiiiiii

pppppppppppppppdiepi

e3jdojojejdojeod

What is the recursive formula for this sequence?

Answers

Answer:

B. a=10

an=an-1-4

this is the answer

if you spin the spinner 12 times what is the best prediction possible for the number of times it lands on pink or yellow

Answers

Answer:2

Step-by-step explanation:

HELP ME PLEASE I NEED TO KNOW HOW TO SEE WHICH GRAPH HAS A GREATER B VALUE!!! Can someone also please explain how I can tell which ones has a greater b value

Answers

Answer:

hi

Step-by-step explanation:

a has the greater value

Answer:

They have the same B value, B value is the Y-intercept, where the graph starts, both B-values are equal to 1. I'm pretty sure that's correct

What is the value of (-5)4?

Answers

Answer:

(-5)4=

-5+4=-1

take care of yourself

have a nice day

Solve the inequality.
-3.25y <-61.75

Answers

Step-by-step explanation:

-3.25y < -61.75

-3.25y < -61.75

-3.25. -3.25

whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.

y > 19 , S.S= [ 20,21,22,23.....]

What is the constant in the following equation? 12 = 3k

Answers

Answer:

k = 4

Step-by-step explanation:

[tex]12=3k\\\frac{12}{3}=\frac{3k}{3} \\4=k[/tex]

Find the perimeter of a square with sides that measure (2/3)g centimeters.

Answers

Answer:

Perimeter of a SQUARE

4 x s

4 x 2.3 = 9.2 cm

Hence the perimeter of the square is 9.2cm

Determine whether the given statement is true or false. 1 14 E {12, 14, 16, 18} ​

Answers

If your asking if it is a pattern then yes

Help please if u
You don’t know it please don’t answer.

Answers

i believe the answers are the following:

5. x = ±3.4641i

6. x = ±7

hope this helped! please mark brainliest if you get the chance :)

I need this please help me

Answers

Answer:

y=4/5(x)+10

Step-by-step explanation:

the slope of the line is 4/5 and the y intercept is 10

using the format y=mx+b where m is the slope and b is the y intercept we arrive at the equation

the sum of two numbers is 51 and the difference is 13. what are the numbers

Answers

Answer:

Step-by-step explanation:

19 and 32

Answer:

the two numbers are 19 and 32

Step-by-step explanation:

let's call the numbers x and y.

write out the equations

x + y = 51

x - y = 13

simplify the second equation

x = 13 + y

substitute into the first equation and simplify

(13 + y) + y = 51

13 + 2y = 51

2y = 51 - 13

2y = 38

y = 19

substitute y for 19 in the second equation

x = 13 + y

x = 13 + 19

x = 32

A camera has a listed price of $627.95 before tax. If the sales tax rate is 6.5%, find the total cost of the camera with sales tax included
Round your answer to the nearest cent, as necessary.

Pls hurry I’m in a math test

Answers

$627.95 × 6.5%

=$40.81675

then:

627.95 + 40.81675

=668.76675

=$668.77

How to write and graph at least 10 on a number line as a inequality ​

Answers

Answer:

x≥10

draw a number line, plot 10, put a dot on top of 10 and draw an arrow from the dot all the way to right

Step-by-step explanation:

If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails?

Answers

Answer:

So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places

Step-by-step explanation:

hope this helps :)

a box contains 24 balls , some of which are red, some of which are green , and the rest are blue . the probabilities of drawing a red ball and a green ball at random from the box are 1\3 and 1\6 respectively . find the number of blue balls in the bag.​

Answers

Step-by-step explanation:

I think it's 15 but I'm not sure

What is the area of the fire pit? (Use 3.14 for pi.)

Answers

Answer:

[tex]Area = 65.94[/tex]

Step-by-step explanation:

I will assume that the shaded region is the fire pit

Given

[tex]R = 5[/tex]

[tex]r = 2[/tex]

Required

Determine the area of the fire pit

First, calculate the area of the big circle.

[tex]A_2 = \pi R^2[/tex]

Area of the small is:

[tex]A_1 = \pi r^2[/tex]

The area of the pit is:

[tex]Area = A_2 - A_1[/tex]

[tex]Area = \pi R^2 - \pi r^2[/tex]

[tex]Area = \pi (R^2 - r^2)[/tex]

[tex]Area = 3.14 (5^2 - 2^2)[/tex]

[tex]Area = 3.14 (25 - 4)[/tex]

[tex]Area = 3.14 * 21[/tex]

[tex]Area = 65.94[/tex]

Which system of equations could be used to find the number of tickets sold before the tournament, x, and the number of tickets sold at the door, y? Remember, 743 tickets were sold, and 75 more tickets were purchased before the tournament than at the door.

Select the correct system based on the scenario.
y = x + 75
y = 75x + 743
y = x + 75
y = x + 743
x + y = 743
x – y = 75
x + y = 743
y – x = 75
Which system of equations could be used to find the number of tickets sold before the tournament, x, and the number of tickets sold at the door, y? Remember, 743 tickets were sold, and 75 more tickets were purchased before the tournament than at the door.

Select the correct system based on the scenario.
y = x + 75
y = 75x + 743
y = x + 75
y = x + 743
x + y = 743
x – y = 75
x + y = 743
y – x = 75

Answers

Answer:

C. x + y = 743        

    x – y = 75

Step-by-step explanation:

Got it right.

Answer:

C. x + y = 743        

     x – y = 75

Step-by-step explanation:

I did the test so trust me :)

A meal has 310 calories in 5 servings. Find the calories per serving.

Answers

Answer:

62

Step-by-step explanation:

Answer:

The meal has 62 calories per serving.

Step-by-step explanation:

310/5=62

Write the statement as a rate. Lilly records 65 movies onto 5 DVDs. Choose the correct answer below. 65 movies О А. 1 DVD 5 movies о В. 5 DVDs 65 DVDs OC 5 movies 65 DVDs OD 1 movie​

Answers

b 5 dvds 65 dvds oc 5

241÷9 cevabı nedir ????​

Answers

Answer:

26.7777778 or 26.78 rounded

Step-by-step explanation:

x³-5x²+2x-10 devided by x²+2​

Answers

Answer:

     x-5

Step-by-step explanation:

ILL GIVE BRAINLEST
The difference between 3 times a number x and 2 is 19. What is the value of x?

A. 7

B. 6

C. 5

D. 1

Answers

Answer:

A. 7

good luck, i hope this helps :)

A7 hope this helps it is easy math u just have to Figure out what two times something equals 19

A field of grass feeds 28 cows for 6 days. How many days would the same field feed 21 cows?

Answers

Answer:

Step-by-step explanation:

28 cows × 6 days = 168 cow-days

(168 cow-days)/(21 cows) = 8 days

If a field of grass feeds 28 cows for 6 days, the number of days that the same field would feed 21 cows is 8 days.

How to calculate number of days?

This question involves the use of inverse proportion to solve.

According to this question, a field of grass feeds 28 cows for 6 days. The number of days it would take 21 cows is calculated as follows:

28 cows is fed for 6 days

21 cows will be fed for (28 × 6) ÷ 21 = 8 days.

Therefore, If a field of grass feeds 28 cows for 6 days, the number of days that the same field would feed 21 cows is 8 days.

Learn more about inverse proportion at: https://brainly.com/question/2548537

#SPJ2

What is 9 5/6 minus 2 7/8 equal?

Answers

Answer:

[tex]\frac{167}{24}or[/tex] [tex]6\frac{23}{24}[/tex]

Step-by-step explanation:

[tex]9\frac{5}{6} -2\frac{7}{8} =[/tex]

Convert to an improper fraction.

[tex]\frac{59}{6}-\frac{23}{8}[/tex]

Find a common denominator.

[tex]\frac{236-69}{24}[/tex]

Simplify

[tex]\frac{167}{24}=6\frac{23}{24}[/tex]

good luck, hope this helps :)

Cherry Avenue Park is in the shape of a rectangle. What is the area, in square

miles, of Cherry Avenue Park?

Answers

Answer: a rectangles area is length x width. You need to find the numbers that represent the length and the width and multiply them

Step-by-step explanation:

Can any one solve these?

Answers

Answer:

f(x)=-8

x=4

f(x)=10

x=-6

Step-by-step explanation:

a veriable is definded as

Answers

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

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