It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes. If both are to complete a 15-kilometre race, how long before Max will Georges arrive to the finish line?

Answers

Answer 1

George will arrive 20 minutes before Max

It takes Max 3 hours(180 minutes) to run 30 km .

The rate can be calculated as follows:

rate = 30 / 180 = 1/6 km/ min

George uses 2 hours 20 minutes(140 minutes) to run 30 km.

The rate can be calculated as follows:

rate =  30 / 140 = 3/14 km / min

If both are to complete a 15-kilometre race, Therefore,

Max time will  be

1 / 6 = 15 / t

t = 15 × 6

t = 90 minutes

George time will be

3/14 = 15 / t

3t = 210

t = 210 / 3

t = 70 minutes

Time difference = 90  - 70 = 20 minutes

Therefore, George will arrive 20 minutes earlier than Max

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Related Questions

2.7z + 1.2z - 6.5 = 0.7

Answers

Answer:

= 1 . 8 4 6 1 5 3 8 4 6

Step-by-step explanation:

I took the test yesterday and I got a 100 on the math part

Answer/Step-by-step explanation:

Combine multiplied terms into a single fraction

2.7z+1.2z−6.5=0.7

2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7

Combine multiplied terms into a single fraction

2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7

2 7 /1 0 + 6 5 − 6 . 5= 0 . 7

Find common denominator

2 7 /1 0 + 6 5 − 6 . 5= 0 . 7

[tex]\frac{27z}{10} +\frac{2.6z}{10} +\frac{10(-6.5)}{10} =0.7[/tex]

Combine fractions with common denominator

[tex]\frac{27z+2*6z+10(-6.5)}{10} =0.7[/tex]

Multiply the numbers

[tex]\frac{27z+12z-65}{10} =0.7[/tex]

Combine like terms

[tex]\frac{39z-65}{10} =0.7[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]10*\frac{39z-65}{10} =10*0.7[/tex]

Cancel multiplied terms that are in the denominator

39z-65=10*0.7

Multiply the numbers

39z-65=7

Add 65 to both sides of the equation

39z-65+65=7+65

Simplify

39z=72

Divide both sides of the equation by the same term

[tex]\frac{39z}{39} =\frac{72}{39}[/tex]

Simplify

Z= 1.846153846

The quotient of 7 and twice a number equals 5

Answers

Solution:

Let the number be x.

[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]

Answer:

[tex]x = \frac{7}{10} [/tex]

Hope it helps.

Do comment if you have any query.

I need help on this question please

Answers

Answer:

ABC -- not similarΔJKL ~ ΔHIG, AA similaritynot similar

Step-by-step explanation:

a) Side ratios in the smaller triangle are 3:4:6. In the larger triangle, they are 5:6:9. These are not equivalent ratios, so the triangles are not similar.

__

b) The missing angle in the left triangle is 90° -55° = 35°. This matches the acute angle shown in the right triangle, so the right triangles are similar by the AA similarity criterion. The given triangle JKL starts with the largest acute angle, then the right angle, so the similarity statement must be ...

  ΔJKL ~ ΔHIG

__

c) All we know for sure is that the vertical angles are congruent. We need information about a pair of sides or of another angle before any similarity can be claimed. The triangles are not necessarily similar.

1. What is the vertex for the following quadratic function, y = 2x^2 - 4x + 5?
A). (1,3)
B). (3, 1)
C) (0,5)
D). (2,5)

Answers

Answer:

A

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 2x² - 4x + 5 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into the equation for corresponding value of y

y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3

vertex = (1, 3 ) → A

Find x get 15 points and brainliest
4/5x+9/10=5 1/5

Answers

Answer:

x=43/8

Step-by-step explanation:

Answer:

43/8

BUT IN A SIMPLIFIED MIXED NUMBER IT IS

5 3/8

(x, 7) and (-7, 4); slope: 1

Answers

Answer: x= -4

Step-by-step explanation: slope = (y2-y1)/(x2-x1).

(4-7)/(-7-x)

-3/-7-x=1

Multiply both sides by -7-x

-3=-7-x

Add 7 to both sides

4=-x so x = -4

1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________

Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2

________________________________

Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3

Answers

The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:

1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5

3. Alex would represent it as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

A number line is a system that can be used to show the positions of all directed numbers.

Thus, the solutions to the given questions are stated below:

1. Let the scuba diver's previous deepest dive be represented by d . Such that,

2.5 d = - 80 .......... 1

So that;

d + p = -80 ............ 2

From equation 1,

2.5 d = -80

d = -32 feet

From equation 2,

-32 + P = - 80

p = -80 + 32

  = -48 feet

p = -48 feet

⇒ -32 + (-48) = -80

Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.

Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles

                                                         = 8.6 miles

Thus, since the distance to the store is more than 3.5 miles east of her home,  thus the appropriate inequality that represents the situation is:

   -5.1 + d > 3.5

The correct option is: A or C

3. Let the number be represented by n, so that:

[tex]\frac{1}{2}[/tex]n  > [tex]1\frac{1}{3}[/tex]

Alex would represent the statement as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

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Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?

Answers

Answer:

to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet

When divding numbers with the same base you________ the exponents

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When divding numbers with the same base you subtract the exponents ~

Answer:

subtracts

Step-by-step explanation:

hope this helps

six times the difference of a number and three is -42 (write and equation and solve)

Answers

Here's ur perfect answer

Hello!

6(3-x)=-42

Use the Distributive Property:

18-6x=-42

-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)

-6x=-60

6x=60

Divide both sides by 6:

x=10

Hope it helps!

If you have any questions, feel free to ask in the comments! (:

~An excited gal

[tex]SparklingFlower[/tex]

Can someone please give me the answer​

Answers

Answer:

6/10

Step-by-step explanation:

30/50=3/5

3/5=3/5

15/25=3/5

3/5*2/2=6/10

How do you solve Y+4= -3 (x-2)

Answers

Answer:

This problem is in Point Slope form:

To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:

Distribute -3 among everything inside the parenthesis to get y + 4 = -3x + 6.Subtract 4 from 6 to get y = -3x + 2.

To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:

Use the Slope-Intercept form of this equation, in order to convert it.Add 3x on both sides of the equal sign, to get 3x + y = 2.

Hope this helps you :)

In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?

Answers

Answer:

2.42

Step-by-step explanation:

I AM VERY SORRY IF ITS WRONG

Help me please I’m stuck

Answers

The x axis of the point is being translated three units to the left (going from 6 to 3)
The y axis of the point is being translated 2 units down (going from 4 to 2)

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

help me for brainlist

Answers

The line intersects x - Axis at 6

- BRAINLIEST ANSWERER

Please help! 20 Points! Will give brainliest if correct!

Answers

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

rewrite the expression as a single fraction 3/8 + 1/8

Answers

Answer:

Step-by-step explanation:

3/8+ 1/8 = 4/8

YES I WILL MARK BRAINLIST :
Find the 11th term if a8=8 and a20=44.

Answers

11th terms is 56 …….

Why are negative exponents not positive.

Answers

A positive exponent tell how many times to multiply the basement base number, and a negative exponent tells us how many times to divide the base number

How do you make people the BRAINLIEST when you ask a question?


... you answer it correctly and you can see if i figured it out
-wink
-wink
-wink

:( but seriously this is a huge problem that i cant figure out

Answers

Answer:

You can only mark someone's answer if one other person has answered as well.

Step-by-step explanation:

If two people answered your question, then you get a notification from brainly asking you to pick a brainliest answer.

Answer:

See below:

Step-by-step explanation:

When you mark something as Brainliest, you recognize the answer as something good and that it's helped you a lot and is the best answer.

It also also used to symbolize that they have the best answer and that you should listen to their response.

Once there are two responses, you will see a yellow crown button that you an click to award brainliest, you can also find the button when you select more options on a question.

Cheers!

please help question 20 due on monday

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It's letter C. Good luck

find the slope of the line that passes through the following points a(4, -14) b(6, 18) ​

Answers

Answer:

Slope=16

Step-by-step explanation:

6 to the power of 2+ 15

Answers

Answer:

51

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

What is 121 divided by 18?

Answers

Answer:

6.7222222222

Step-by-step explanation:

This Maths Is Easy, Y Did You Post It?

Answer:

=6.7222222222

Step-by-step explanation:

Easy peesy lemon squezy!

Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used on a 1-topping pizza. The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).

A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).

This sample space shows all the types of 1-topping pizzas. Which outcomes in this sample space show the types of pizza the customer may order?

Select all correct outcomes

Answers

Using the given sample space, it is found that the types of pizza the customer may order is: {MG, MH, MO, LG, LH, LO}

The sample space is the set that contains all possible outcomes.

In this problem:

The pizza is large or medium, hence the first letter has to be M or L.The topping is any except pepperoni, hence, the second letter is G, H or O.

Thus, the possible outcomes are: {MG, MH, MO, LG, LH, LO}

A similar problem is given at https://brainly.com/question/14798120

What's (7 x 100) + (4 x /100) + (8 x 1/1000) in standard form?

Answers

Answer:

(7*100) can be written as 7*10^2

4 * / 100 i don’t know

if it was 4 * 100 then it’s 4*10^2

if it was divided then it’s 4*10^-2

8* 1/1000 = 8/1000 = 8*10^-3

add together to get 1.100008 * 10^3 (if it was 4*100)

or 7.00048 * 10^2 ( if it was 4/100)

3x + 3 = 2x + 12 i need help for this answer

Answers

Answer:

X=9

Step-by-step explanation:

3x+3=2x+12

3x-2x=12-3

x=9

6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?

Answers

Answer:

c

Step-by-step explanation:

Please help ASAP...
Find - xy , for x = -75.9 and y = 2.6.

Answers

197.34

Step-by-step explanation:

sincebit says that x multiplied by y

you multiply -75.9 *2.6 which results 197.34

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x

Answers

The solution to the given expression is -15/4

Equations are expressions separated by an equal sign.

Given the expression 17 = -13 -8x

Add 13 to both sides

17 + 13 = -13 - 8x + 13

30  = -8x

Swap sides

-8x = 30

Divide both sides by -8

-8x/-8 = -30/8

x = -30/8

x = -15/4

Hence the solution to the given expression is -15/4

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