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

Sally says it is possible to draw a triangle with these side length
5cm, 5cm, 12cm
Is she correct?
Explain how you know

Answers

Step-by-step explanation:

The longest side of a triangle cannot be longer than the sum of the two shorter sides. So if the 5cm and 12cm sides are the shorter sides, the third one cannot be longer than the 17cm. ... So 12cm is not longer than 5cm plus the length of the third side, and therefore the missing side cannot be shorter than 7cm.

prove that:
[tex] |x \: y \: z \\ {x \: {y \\ {z \\ yz \: zx \: xy = (y - z) \: (z - x) \: (x - y) \: (xy + yz + zx)}^{2} }^{2} }^{2} | [/tex]

Answers

Answer:

???

Step-by-step explanation:

moris code?

Answer:

c, none of the above

Step-by-step explanation:

khan

45 = w − 54 What is the android

Answers

Answer:

w = 99

Step-by-step explanation:

45 = w - 54

99 = w

good luck, i hope this helps :)

Answer:

W=99

99 minus 54 equals 45.

Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠XYZ? Neeed this fast asap




15°


30°


45°


75°

Answers

Answer:

B,30

Step-by-step explanation:

Answer:

B,30°

Step-by-step explanation:

Please complete this question, the question is saying: write the correct integer in the blank



Is due please. I will give brainlest, and extra points to getting it right.


X-(-3)=x+______. Fill in blank

Answers

Answer:

3

Step-by-step explanation:

Answer:3

Step-by-step explanation:

-(-3=3

Andy Has 3 Apple's And He Gives 2 To John How Many Apple's Does Andy Have Now

Answers

Answer:

He had 3 and she gave 2 to John, Then he has 1 apple left here

A pole tilts at an angle of 9 degrees from vertical, away from the sun. The pole casts a shadow that is 24 feet long. The angle of elevation from the end of the pole’s shadow to the top of the pole is 53 degrees. How long is the pole?

Answers

Answer:

Step-by-step explanation:

180-53-(90-9)=46

sin53/p=sin46/24

p=24sin53/sin46

p=26.65ft

The length of the pole with the given shadown is 26.6 feet long.

Length of the pole

The height of the pole is determined from trignometry property of right triangle.

The shadow of the pole, vertical height formed by the pole and the length of the pole, will form a right triangle.

Let the base of the right triangle = 24 ftLet the base angle = 53⁰base angle of similar triangle = (90 - 53) + 9 = 46⁰

The length of the pole is calculated as follows;

L/sin53 = 24/sin46

L = (24 x sin53) / (sin 46)

L = 26.6 ft

Thus, the length of the pole with the given shadown is 26.6 feet long.

Learn more about angle of elevation here: https://brainly.com/question/25748640

Help pls. Given l || m || n, find the value of x.

Answers

Answer:

41

Step-by-step explanation:

By transversal parallel lines theorem, x=41

answer:

x = 41

- use the rules to solve it

2. If the present salary of an employee is $36,500 and they are to receive a 7% raise next year, what will be the new salary?

Answers

Answer:

hello ! you multiply $36,500 by 7% and you get $25,550. add this amount to the original amount and you get $62,050.

According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student

Answers

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]

Student and woman developer.

7.4% of 25.8%(students), so

[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]

If we encounter a woman developer, what is the probability that she is a student

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]

0.0326 = 3.26% probability that she is a student.

Please help!!! Will award BRAINLIEST to best answer!!!
If 12a + 3b = 1 and 7b - 2a = 0, what is the average a and b?

Answers

Answer: 1/4

Step-by-step explanation:

If you add the equations:

12a + 3b = 1

-2a + 7b = 0

------------------- (you get):

10a + 10b = 1 (divide by 10)

a + b = 1/2 (divide by 2 since average of two numbers is their sum divided by 2)

(a + b) / 2 = 1/4

Answer: 0.05

Step-by-step explanation:

1. 12a+3b=1

a= (1-3b)/12

2. 7b-2a=0

7b-2((1-3b)/12)

b=1/45

a=(1-3b)/12=(1-3(1/45))/12=7/90

Lastly: (7/90+1/45)/2=0.05

Find the area of each figure in square units​

Answers

I think it’s 25 square units

29, 58,116, Find the 7th term.

Answers

9514 1404 393

Answer:

  1856

Step-by-step explanation:

The numbers given do not have a common difference, but they do have a common ratio:

  58/29 = 116/58 = 2

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1×r^(n-1)

For this sequence, a1=29 and r=2, so the general term is ...

  an = 29×2^(n-1)

Then the 7th term is ...

  a7 = 29×2^(7-1) = 29×64 = 1856

The 7th term is 1856.

_____

If you prefer, you can double each term until you have 7 of them.

 29, 58, 116, 232, 464, 928, 1856, ...


Find tan(B) in the triangle.

Answers

Step-by-step explanation:

tan = perpendicular / base

acc. to diagram ,

angle C = 90°

such that

AB is hypotenuse

acc to theta ,

AC is perpendicular and BC is base

therefore

tan theta = AC / BC

tan theta = 8/15

Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.

Answers

Answer: d- they are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

The statement best explains the relationship between lines FG and HJ is They are not perpendicular because their slopes are not negative reciprocals, the correct option is D.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

We are given that;

The graph of line FG and HJ

Now,

The slope of line FG can be found by using the points (-4, 1) and (0, -2):

m = (-2 - 1) / (0 - (-4)) = -3 / 4

The slope of line HJ can be found by using the points (-4, -2) and (0, 4):

m = (4 - (-2)) / (0 - (-4)) = 6 / 4 = 3 / 2

The slopes of lines FG and HJ are not negative reciprocals of each other, since -3/4 is not equal to -1/(3/2) or 2/3. So, lines FG and HJ are not perpendicular.

Therefore, the answer will be they are not perpendicular because their slopes are not negative reciprocals.

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ7

The sun is 93,000,000 miles from Earth. What is the value of the 3 in the number 93,000,000

Answers

Answer:

three million

Step-by-step explanation:

A total of 472 tickets were sold. They were either adult tickets or student tickets. The number of student tickets were 3 times tge number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

adult tickets = 118

student tickets = 354

Step-by-step explanation:

a = number of adult tickets

s = number of student tickets

a + s = 472

3a = s

substitute for s

a + 3a = 472

reduce

4a = 472

divide by 4

4a/4 = 472/4

a = 118

s = 354

how are 2-D and 3-D objects related to each other in real world​

Answers

Answer:

You can see 2-D flat shapes on the faces of 3-D objects.

For example: You go to the store and you see a box,

the box has 6 faces. The bottom of the box is one of It's faces which is 2-D.

Step-by-step explanation:

Heyyyy can someone help me ?? is for today ;-;

Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?

a) 32 b) 10 c) 26 d) 1000 e) 22

Answers

Answer:

E) 22

Step-by-step explanation:

To solve this, use process of elimination. (If they are both '☆'s, it is the answer.)

A)32

3n+1 x 5n+2 ☆

B) 10

3n+1 ☆ 5n+2 x

C) 26

3n+1 ☆ 5n+2 x

D) 1000

3n+1 ☆ 5n+2 x

E) 22

3n+1 ☆ 5n+2 ☆

The answer is E) 22

Each of students reported the number of movies they saw in the past year. Here is what they reported. 17,19,10,4,16,20​

Answers

Answer:

14.3

Step-by-step explanation:

What you would do is add all 6 numbers together. After finding the sum, divide by 6. The 6 represents the amount of numbers in the data set. So you would find 86/6 and get 14.3333. That would be rounded to 14.3. Hope this helped!

Carla is offered a new job with big time book sellers. Her starting wage is $10.00 per hour, and she will receive a $0.50 raise after the first year. For each year that she stays with the company after that, her raise will be $0.50 more than it was the year before. How much will Carla make per hour in her 7th year working at big time book sellers? A, How would you solve the problem? Explain the steps you would take. What is your answer? B, What is one important detail from this problem that you think people might commonly miss?

Answers

Answer: she would make 13.50 per hour for the 7th year you would solve it by .50x7 and add it to 10.00

Step-by-step explanation:

What is the solution of x = 2 + StartRoot x minus 2 EndRoot?

Answers

Answer:

x= 2 or x=3

Step-by-step explanation:

Both satisfy the equation. I hope this helped.

Answer:

x=2 or x=3

Step-by-step explanation:

just took the test it is C

Which of the following gives 54 as a product of its prime factors?
) 6x9
2x3 x 9
2x 3 x 3 x 3

Answers

Answer:

The last one, 2x3x3x3

Step-by-step explanation:

find the value of x?

Answers

Answer:

90

Step-by-step explanation:

90 degrees minus 35 degrees equals 65 degrees

90

90 minus 35 is 65 degrees

Pl help it’s for a grade

Answers

Answer:

c

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Due to the explanation here

factorize by splitting the middle term 6x-11x+4​

Answers

Answer: (2x - 1)(3x - 4)

(split -11x as -8x and -3x)

Step-by-step explanation:

I am assuming that it is actually 6x^2 - 11x + 4

To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)

-8, -3 works

(6x^2 - 8x) + (-3x + 4)

2x(3x - 4) + -1(3x - 4)

(2x - 1)(3x - 4)

Pls help I’ll brainlest ASAP

Answers

Substract by 12 from 42, and keep going down until you hit -54, which is 8 hours!

What is the value expression of [32 × (2.4 ÷ 4)] + 1.7

Answers

20.9--------------------------------------

Step-by-step explanation:

[32 × (2.4÷4)] + 1.7[32 × 0.6] + 1.719.2 + 1.720.9---------------------------------------FOLLOW ME

Answer: 39.1

Step-by-step explanation:

it will take 1.25 years to earn p 1250.00 from a savings of P10.000 at 10% interest

Answers

Answer:

are you telling answer?

Exercise 2
Directions: Choose the letter of the correct answer
Example:
in the expression 7 + 2 (4x5)-9, which is the last operation to do? Answer: B
A. addition B. subtraction C. multiplication D division
1. In the expression 8 + 4 x 6-12, which operation will you do first?
A. addition B. subtraction
C.multiplication D. division
2. In following the GEMDAS rule, with the expression, 5x3+9 - 4 + 2, what will be
operation to do?
A. addition B. subtraction C. multiplication D. division
In the expression, 5 x 4+ (8-2), what will be the second operation to do?
A. addition B. subtraction
C. multiplication D. division
In the expression 9 +2 x 5-3, which operation will you do last?
A. addition B. subtraction C. multiplication D. division
In the expression, 32 x 4 +2+8, which will you do first?
A. exponent B. multiplication C. division
D. additic​

Answers

1. C - multiply 4 and 6 first
2. C - multiply 5 and 3 first
3. B - subtract 8 and 2
4. B - subtract 19 by 3
5. B - multiply 32 and 4

Hope this helps
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