Mathematics High School

Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP

Answers

Answer 1

Given:

Speed of Timmy = 5 miles per hour

Speed of sam = 4 miles per hour and head start of 2 miles

To find:

Where Timmy and Sam will  meet.

Solution:

Let x be the number hours they ran in marathon and y be the total distance covered.

Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is

[tex]y=5x[/tex]       ...(i)

Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is

[tex]y=4x+2[/tex]    ...(ii)

Now, equate (i) and (ii).

[tex]5x=4x+2[/tex]

[tex]5x-4x=2[/tex]

[tex]x=2[/tex]

The value of x is 2. It means they will meet after 2 hours.

Put x=2 in (i).

[tex]y=5(2)[/tex]

[tex]y=10[/tex]

It means, they will meet at 10 miles.

Related Questions

please help me with this!!!

Answers

581

10x14x8.3 = 1162
1162 divided by 2 = 581

find the two square roots of 400

Answers

Answer:

20 and -20

20^2 = 400

(-20)^2=400 since two negative is positive

-20 & 20 .. hope this helps a lot ;)

Can someone plz help me with this????

Answers

what information are you given??

Answer:

since we cant see what info is given maybe these tips can help...

the 'b' is also called the y-intercept, the y-int is what you start of with. Example, if your parents give you $20 and you spend $5 every week, your y-int is 20

The m is the slope, so if your parents give you $20 and you spend $5 every week, your slope is -5 because your money is decreasing at a linear rate

the x is the input, so if you want to know how much money you have 2 weeks after you got $20, you would substitute x with 2, and solve to get $10

Anyone know the answer

Answers

Answer:

18 deg

Step-by-step explanation:

pi in radians = 180 deg

180/10 would be 18

hope that helps

4) Janet runs half a mile in 1/3 of an hour.
How many miles can she run in one hour?
How far can she run in 4 hours?
I

Answers

.5 miles * 3 =
First answer: 1.5 miles in an hour

1.5*4=
Second Answer: 6 miles in 4 hours

Answer:

5 miles

Step-by-step explanation:

What is the binary number for 14​

Answers

Answer:

Step-by-step explanation:

should be 1110

Answer:

1110

Step-by-step explanation:

Will give Brainliest and 50 points question above

Answers

Answer:

12.something units squared

Step-by-step explanation:

Answer:

12.something units squared

Step-by-step explanation:

Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms?
A. 0.3745 kg
B. 3.745 kg
C. 37.45 kg
D. 374.5 kg

Answers

convert grams to kilograms :
3745g/1000 = 3.745kg
ans is B

3. If f(x) = 12x + 14, what is the range value for the domain value 3?

Answers

Answer:50

Step-by-step explanation:

You are given the domain value which is your "x".

So to solve the problem you fill x as 3

Making the equation f(x)=12(3)+14

12 * 3 = 36

36+14=50

There is your answer!

does 3^4 equal the same sum as 4^3

Answers

No. 3^4 is 81 and 4^3 is 64.

Explanation:
3^4 means 3 to the 4th power. That would mean multiplying 3 by itself 4 times. Don’t get it confused with 3 x 4. Each time you multiply, the next time will multiply by itself. Basically 3 x 4 is 12, then 12 x 4 is 48, and so on.

plzzzzz hurry i'm running out of time
The tree in Shen's backyard is 8.2 m high. How high is it in centimeters?
Be sure to include the correct unit in your answer.

Answers

Answer:

820 cm

Step-by-step explanation:

Since one meter is 100 cm, 8.2*100 is 820

Answer: 820

Step-by-step explanation:

1 meter is 100 centimeters

1 meter is 100 centimeters, 8.2 meters are 820 centimeters.

A local specialty store sells two brands of yogurt. Brand A is a fruit yogurt that comes in a 12-ounce container for $2.88. Brand B is a fruit yogurt that comes in a 16-ounce container for $4.48. Which one is a better buy: Brand A or Brand B?

Answers

Answer:

0.04

Step-by-step explanation:

Brand A:

so x is equal to 0.24

Brand B:

so x is equal to 0.28

Now the difference of cost would be Brand B - Brand A which would give you 0.04.

11/12 - (-10)- 5/6 please help

Answers

Answer:

121/12 is the answer your welcome

Now first tell me whts 9.6- 26.8
but I already kno!

Answers

Free variably points -17.2

If you can, please help me! I'll give brainliest (if I can.)​

Answers

Answer:

The intersection of the sets A, B, and C is Bird.

Set B contains Fish, Lizard, Turtle, Bird, and Dog.

WILL MARK BRAINLIEST!! if the measure of angle CBD is 9(8x+11)°, then what is the value of x?

Answers

Answer: 72x+99'



Step-by-step explanation:

ALSO LOVE YOUR PROFILE PICTURE!!!!

PLEASE HELP
In Exercises 1 and 2, identify the slope of the line. Then identify a point the line
passes through.
1. y - 2 - 4(x - 5)
2. y - 7 - -3(x + 6)

Answers

Answer:

1.  Slope = 1/4  

   Point = ( 1, 1 )

2. Slope = -3

    Point = ( 3, -20 )

Step-by-step explanation:

HELP please i'll give brainliest I only have until 3 to finish this

Answers

Answer:

B

Step-by-step explanation:

The ratios are 2:1

In the table it shows 4:2, 8:x, y:6, 20:z

To find if the ratios are equivalent we would need to plug in

Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1

Answer:

Its B

Step-by-step explanation:

Selena made pancakes for an all day breakfast fundraising event she made 132 pancakes in 4 hours Selena needs to make 264 more pancakes if she continues at the same rate how many hours will it take for Selena to make 264 more pancakes

Answers

Answer:

8 hours

Step-by-step explanation:

132 pancakes → 4 hours

264 pancakes → (4/132 x 264) hours = 8 hours

I need help with this question

Answers

Plz take a better picture if you can! Then someone could help

help pls i didn't put the question fully on the last question:/
Find the decimal that is equivalent to: 17/12



A. 1.714
B. 0.583
C. 0.0583
D. 0.583 repeating

Answers

no of those are correct it would be 1.416 repeating

28 divided 3.5
help meh plz

Answers

Answer:

8

have a good day! :)

A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. The fuel gauge shows there and 15 litres left in the tank. How many more miles can the car travel before it runs out of petrol?

Answers

Answer:

Miles= 120

Step-by-step explanation:

Giving the following information:

A car can travel 480 miles on a full tank of petrol. The tank holds 60 liters.

First, we need to calculate the miles per liter:

Miles per litre= 480 / 60

Miles per litre= 8 miles

Now, the miles that can be driven with 15 liters:

Miles= 15*8

Miles= 120

1. Show that the vertices A (7, 12) B (4, 7) and C (9, 10) of the triangle is an isosceles
triangle?
2. Show that the triangle whose vertices are A (6,1) B (10,9) and (6,7) is a right
angled triangle and find its area?​

Answers

Answer:

A

Step-by-step explanation:

the vertices are also available

Passed with 100%
Tak
1.
Set up, but do not solve, an equation to
determine the value of x in the diagram
below.
3x-35
4x+40

Answers

I would answer this but I am not sure


please help. its on ratio.​

Answers

Answer:

2/14, 1/7, 3/21, and 18/126

Step-by-step explanation:

What is y+3=7(x-2) written in standard form?

Answers

Answer:

7x-y=17

Step-by-step explanation:

Answer:

7x-y=17

Step-by-step explanation:

5 is not more than x

Answers

Answer:10

Step-by-step explanation: 5 + x is 10 because x is a verable

What is the slope of a line perpendicular to 3Y + 6X = 12?
Select one:
a. -2
b. 2
c. 1/2
d. -1/2
e. 1/6

Answers

The answer is c. 1/2
C 1/2 hope this helps!!!!!!

1)There are whole numbers that are not integers.
true or false

2)All rational numbers are whole numbers.
true or false


3)All integers are whole numbers.
true or false

4)All integers are rational numbers.
true or false

Answers

Answer:

1).false 2). false 3).true 4). true

Step-by-step explanation:

1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.

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[tex]

1) \: \: \: \: False[/tex]

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[tex]

2) \: \: \: \: False[/tex]

[tex]Exam)\frac{1}{2} \: \: is \: \: rational \: \: but \: \: it \: \: is \: \: not \: integer \\ [/tex]

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[tex]

3) \: \: \: False[/tex]

[tex]Exam)- 1 \: \: is \: \: integer \: \: but \: \: it \: \: is \: \: not \: \: whole \: \: number \\ [/tex]

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[tex]4) \: \: \: \: True[/tex]

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