A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant​ rate, how long does it take the same dog to run the 21 mile state fair​ race? Use ratio reasoning to solve. * 1 point

Answers

Answer 1

Answer:

The dog will run the 21-mile race in 4.04 hours

Step-by-step explanation:

The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.

To do this, we can set up a simple relationship:

If he ran 10.5 miles in 2 hours,

He will run x miles in 1 hour

Cross multiplying, we have

x = (10.5 X 1)/2 = 5.25 miles in 1 hour.

We can now comfortably say that he runs at the rate of 5.2miles/hr

He now goes to the state fair race, which is 21 miles long.

if he runs at the rate of 5.2 miles in 1 hour,

He will run 21 miles in y hours

y = 21 / 5.2 = 4.04 hours

The dog will run the 21-mile race in 4.04 hours


Related Questions

Which college is better?
Harvard
Yale
Stanford
Princeton

Answers

Answer:

yale

Step-by-step explanation:

harvard overrated

Answer:it is a personal opinion

Step-by-step explanation:

each school has its goods and bads. I personally would chose Stanford or Princeston because I haven't heard that many bad things from there and has great education. hope this helps

Write down the first five terms of the sequence which has the n th term

Answers

Answer:

2

A) 12

B) 18

C) 20

D) 11

E) 25

F) 33

Step-by-step explanation:

because the next of the 10 is 12

Find a​ point-slope form for the line with slope
1/2 (1 over 2) and passing through the point ​(−1​,−6​).

Answers

Answer:

It is Third quardant in Graph

Plz help me ASAP ;-;

Answers

Option 1! If you expand the bracket and simplify.

Answer:

The person who answered it first is correct

Step-by-step explanation:

Select all that apply.

Which graphed lines represent direct variation functions?


line d
line b
line c
line a

Answers

Answer:

Hope this helps~

Step-by-step explanation:

Look at the graph they gave you. ... At first it looks like an ugly mess.

But look closer.  There are only two lines there that go through the origin,

so one of those is the answer to the question.

Now let's talk about the slope of a line.

 

-- If the slope of a line is positive, that means it rises as it goes.

  If you walk the graph from left to right, you're climbing.

-- If the slope of a line is negative, that means it falls as it goes.

  If you walk the graph from left to right, you're going down-hill.

The equation they gave you is  [ y = 1/2 x ].

The slope is  1/2 .  That's positive.

The line on the graph slopes up.  To walk it, you have to climb.

In the picture, that can only be line 'c' .

Answer:

The equation they gave you is  [ y = 1/2 x ].

The slope is  1/2.  That's positive.

The line on the graph slopes up.  To walk it, you have to climb.

Select the correct answer.
What are the solutions to this equation?
3
25 - 5
O A
= -1 and r = -0.4
OB.
=
-2 and r = 2
C.
r = -3 and r =
0.5
OD
r = -0.5 and r = 3

Answers

Answer:

D

Step-by-step explanation:

Either try all the numbers and see which ones work or do the following.

Times both sides by 2x-5.

3=x(2x-5)=2x^2-5x

Rearrange and solve the quadratic. I will factorise.

2x^2-5x-3=0

(2x+1)(x-3)=0

so x = -1/2 or 3

There are 30boys in a sporting club 20of them play hockey and 15 play volley ball each boy plays atleast one of the true game.illustrate the information of a Venn diagram. How many boys play hockey and volley ball

Answers

A possible diagram to illustrate the situation is two circles that intersect, the circle marked as hockey includes the number 10, the circle marked as volleyball includes the number 15 and the intersection includes the number 5 (as you can see in the attachment).

What is a Venn Diagram?

This is a diagram that uses circles and their intersections to illustrate the number of individuals in groups.

How to make a Venn Diagram?

In this case, the Venn Diagram should include the following information:

Two circles, one circle tagged as hockey and the other tagged as volleyball.The number 10 in the hockey circle, number 15 in the volleyball circle, and number 5 in the intersection (10+5+15= 30)

Learn more about Venn diagrams in https://brainly.com/question/29301560

#SPJ1

did I follow the instructions on how it told me to answer this question

Answers

Answer:

did I follow the instructions on how it told me to answer this question

Step-by-step explanation:

No? wouldn't it be $10.50???

Plz help... need it quick

Answers

Answer:

id say the big triangle and the rectangle

Step-by-step explanation:

sorry if im wrong

HELP PLS ITS DUE IN AN HOUR

Answers

Answer:

MP7

Step-by-step explanation:

Answer:

6 < sqrt(41) <7

Step-by-step explanation:

6^2 = 36; 36 < 41

7^2 = 49; 49>41

What is the value of -2(x + 3)

Answers

answer:

2x+6 period

Divide:

16)160

A. 10

B. 11

C. 16

D. 26

E. 100

Answers

Answer:

10

Step-by-step explanation:

your welcome...............

The equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.

What is the length of ? Round to the nearest tenth.

Answers

Answer:

B. 12.9cm

Step-by-step explanation:

I presume we are asked to find the length of b

I need help solving this

Answers

Answer:

Line B & C

Step-by-step explanation:

Parallel lines have the same slope.

Lines B and C have the same slope.

You can see that for both lines B and C that each time the line goes through an exact point, they line up.

A skateboard park charges a $5 admission fee plus $2 for every hour spent at the park with a three-hour maximum stay. What are the input values of this problem situation?

Answers

Answer:

11 dollars

Step-by-step explanation:

If you do 1 person going into the park it starts with 5 dollars then you add 2$ to ever hour with a 3 hour limit so at the limit the amount paid would be 11 dollars if there was one person there for 3 hours

What is the slope? (IXL)

Answers

Answer:

5/3

Step-by-step explanation:

find
[tex]x + y + z[/tex]
[tex]x = 70 digree [/tex]
[tex]z = 40digree[/tex]
[tex]find y[/tex]

Answers

Answer:

x = 110

y = 110

Step-by-step explanation:

Here, we are going to apply an important triangle property

The sum of opposite interior angles equal the exterior angle of the third side

Thus, we have that;

y = 70 + 40 = 110

As we can see, the third angle in the triangle will be;

180-70-40 = 110

This is because sum of angles = 180

Thus, applying the exterior angle relationship,

x = 70 + 40 = 110

helppp i have this test due soon :C

Answers

Answer: D.)

Step-by-step explanation:

Add the rates. 3:1 (3+1)=4

multiply it to the rate. 3(4), 1(4) = 12 and 4

Side a is 12 inches long and side b is 4 inches long.

Brianna wants to buy a digital camera for a photography class. One store offers the camera for $49 down
and a payment plan of $20 per month. The payment plan for a second store is described by y - 15x + 79,
where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the
camera is paid off in 12 months? Complete the explanation.

Answers

Answer:

Step-by-step explanation:

Cost of the camera at one store,

Down payment = $49

Per month payment = $20

Duration of the payment = 12 months

Total payment to be done = down payment + payments to be done in 12 months

= 49 + (20×12)

= 49 + 240

= $289

Cost of the camera at second store,

Equation describing the payment plan,

y = 15x + 79

Here, x = number of months

y = Total amount to be paid

If x = 12 months

y = (15×12) + 79

y = 180 + 79

y = $259

The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.

Leila (y) is 3 years older than her sister Joan (x). The equation x+3=y
gives Leila's age. What is the dependent variable?

Answers

Answer:

y

Step-by-step explanation:

The value of y is dependent on the value of x+3 because y represents leilas age.

Answer

3x+y

Step-by-step explanation:

Does anyone know what would be the equation for this Emily has $250 in her savings account. She plans to save $15 per week from her salary. Jasmine has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
Just the equation

Answers

Answer: 10 weeks
Step-by-step explanation:
Nilda's money = 250 +15x being x the number of weeks that have passed
Lona's money= 200+20x
If they have the same amount, then
250+15x=200+20x
250-200=(20-15)x
50=5x
50/5=x
10=x
10 weeks long that the answer hope this helps

a tree with a height of 4 m cast a shadow 16 m long on the ground. how high is another tree that a shadow which is 20 m long ​

Answers

Answer:

5m

Step-by-step explanation:

The integer to represent a gain of 9 pounds would be ______.

Answers

Answer: -9

Step-by-step explanation:

There are 4 consecutive odd integers that sum to 344. Which integers are they?

Answers

Answer:

The consecutive odd integers are 83, 85, 87 and 89.

Step-by-step explanation:

x + (x + 2) + (x + 4) + (x + 6) = 344

4x + 12 = 344

4x = 344 - 12

4x = 332

x = 332/4

x = 83

x + 2 = 85

x + 4 = 87

x + 6 = 89

Hope this helps

29-2(3-5w)>13 help plzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

29-2(3-5w)>13  Equation/Question

Step 2

29-2(3-5w)>13  Simplify

29-2(3-5w)>13

Step 3

29-2(3-5w)>13  Subtract 23

10w>-10

Step 4

10w>-10  Divide by 10

answer

w>-1

Hope this helps

What is the circumference of the circle with a diameter of 10 inches using ≈ . ?

Answers

Answer: 31.4

Step-by-step explanation:

C=πd

C=π×10

C=10π

C=31.4

A circle with center B and radius 1cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA and BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Answers

Answer:

8 cm

Step-by-step explanation:

A circle with center B and radius 13 cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA is perpendicular to BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Solution:

Since the radius of the circle is 13 cm, hence:

BF = BD = BE = 13 cm.

For line segment BE; BE = BC + CE

BE = BC + CE

13 = BC + 1

BC = 13 - 1

BC = 12 cm

AD = BC = 12 cm (opposite sides of a rectangle are equal to each other)

Triangle ABD, is a right angled triangle because ∠B = 90°. We can use Pythagoras theorem to find AB:

BD² = AB² + AD²

13² = AB² + 12²

169 = AB² + 144

AB² = 169 - 144

AB² = 25

AB = √25 = 5

For line segment BF, we can use the line segment addition postulate to find the distance from A to F. Let x be the distance from A to F:

BF = AB + x

x = BF - AB

x = 13 - 5

x = 8 cm

I also need help on this one

Answers

Answer:

A

Step-by-step explanation:

27-9=18

18=18

5(27)=135

135=135

Question 13(Multiple Choice Worth 4 points)
(01.06 LC)
Rearrange the equation A = 4xy to solve for X.
Ox
4y
A
Ox=
A
4y
OX=
4Ay
Х
X=
Ax
4y

Answers

Answer:

its

x = A/4y

Explanation:

when we send 4 and Y to the left hand side, their signs changes from multiplication to division and since they were in the numerator, they go to the denominator on the other side.

hope this helps.

simplify the ratio 84: 36: 108: 60

Answers

Answer:

A) 7 : 3

B) 7 : 4

Step-by-step explanation:

84 : 36

Simplified:

42 : 18 ( divided by 2)

21 : 9 ( divided by 2)

7 : 3 ( divided by 3)

7 : 3

108 : 60

35 : 20 ( divided by 3)

7 : 4 ( divided by 5)

7 : 4

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