Felicia is a long-distance runner. She is able to run the first 2 hours of a training run at a certain rate. The rate at which she runs after her first 2 hours decreases for the remainder of her training run. On Monday, Felicia runs x hours, where x≥2. The average rate at which Felicia runs for the entire training run is represented by 13+6(x−2)x. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete each statement.

Answers

Answer 1

Answer:

 total distance of Felicia's training run

 first two hours  x  = 2....so we have

[ 13 + 6(2 - 2)  ]  / 2  =  13 / 2  =  distance / rate  =  = 6.5  mph ⇒  "c"

 distance covered in 4 hrs  =

 [13 + 6( 4 - 2) ]  =  13 + 6(2)  =  13 + 12  =  25 miles

 But  she ran  13 miles the first two hours

 So....she must run 12 miles the last two hours   ⇒   "c"

 


Related Questions

Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced? ​

Answers

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

Dr,Goode prescribes 0.2 grams of cold medicine for Donald. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Should Donald dark 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets?

Answers

Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

This question is solved by proportions, using a rule of three.4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?

The rule of three is:

1 tablet - x grams

4 tablets - 0.2 grams

Applying cross multiplication:

[tex]4x = 0.2[/tex]

[tex]x = \frac{0.2}{4}[/tex]

[tex]x = 0.05[/tex]

Donald should order 4 of the 0.05 gram tablets.

For more on proportions, you can check https://brainly.com/question/24372153

The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?

_____meters by ____ meters
PLEASEE HELPP MEE PLEASEEEE!

Answers

Half the perimeter is the length + the width

62/2 = 31

Area = length x width

16 + 15 = 31, 15 x 16 = 240

17 + 14 = 31, 17 x 14 = 238

20 + 11 = 31,  20 x 11 = 220

Answer: 20 meters x 11 meters

HELP ME PLEASE GUYS!! :)

Answers

If two lines intersect, then there is only one solution - where they cross.

Looking at the graph, we can see the intersection point of these two lines.

The intersection point is (1,1) - one unit to the right of the origin and one unit up.

Hope this helps! :)

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

false

Step-by-step explanation:

Add 2 to me, multiply by 3, then subtract 3. Divide by 8, then subtract 7. You -4

Answers

Answer:

7.

Step-by-step explanation:

Reverse all operations. (Subtract = Add, Add = Subtract, Divide = Multiply, Multiply = Divide)

Add 7+-4 to get 3.

Multiply 8*3 to get 24.

Add 24+3 to get 27.

Divide 24/3 to get 9.

Subtract 9-2 to get 7.

Check the other way:

Add 7+2 to get 9.

Multiply 9*3 to get 27.

Subtract 27-3 to get 24.

Divide 24/8 to get 3.

Subtract 3-7 to get -4.

PLEASE HELP IM REALLY BEHIND AND I CANT MESS THIS UP

Answers

Answer:

13, 9, 5, 1

Step-by-step explanation:

y = -2(-2) + 9

y = 4 + 9

y = 13

y = -2(0) + 9

y = 0 + 9

y = 9

y = -2(2) + 9

y = -4 + 9

y = 5

y = -2(4) + 9

y = -8 + 9

y = 1

-15x = -75 I need HELP!!!!

Answers

Answer:

x=5

Step-by-step explanation:

You divide both sides by -15 which gives you a positive 5

The longest side of a triangle is always opposite the:

Answers

smallest interior angle

Answer:

angle with the greatest measure

Step-by-step explanation:

the greater length of the triangle is always opposite from the greater angle. hope this helps :)

Plzzzz help meeeee plzzzzzzzz

Answers

Answer:

$0.70

Step-by-step explanation:

70cents is the same as 70/100. so, this would be 0.70.

Hope this helps!

What did the wall say to the bookcase 4. 2 puzzle time answers.

Answers

Answer:

meet you at the corner

Step-by-step explanation:

I really need help!
If two noncollinear segments on a coordinate plane have a slope of 3, what can you conclude?

Answers

Answer:

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

Step-by-step explanation:

Factor the expression using the GCF. (algebraic expressions, just dont subtract 18-12=6 its incorrect. please answer asap!!!! )


18 - 12 = ?

Answers

Factoring the GCF would make the answer 6… Double check with your teacher because it’s literally 6

Find the domain and range of this mapping diagram.

Answers

Answer:

Domain: 3,4,5,6

Range: 7,9,11,13

Pairs: (3,7), (4,9), (5,11), (6,13)

Step-by-step explanation:

Please help everyone!!!!! I will give you brainliest if you answer my question correctly! The average weight of 6 packages is (9m+8) pounds 2 more packages with weights of (12m + 12) pounds and (14m + 12) pounds, are added to the original 6 packages. Find the average weight of the 8 packages.​

Answers

Answer: 22m + 20

First average the 2 package weights:

(12m+12) + (14m + 12) / 2  

(26m + 24) / 2

13m  + 12

So the average weight of 2 package is 13m + 12

Now you already know the average of 6 packages that is 9m + 8. So add the 2 package and 6 package average weights.

13m + 12 + 9m + 8

22m + 20

I am not sure unless you or someone else thinks it correct. But thats it, pls forgive me if i am wrong... :(

As Trish and tan were traveling to the state cross country meet, they followed their progress along on a map. The map showed a scale of 1 inch equaling 60 miles. Their route’s total length on the map is 2 1/2 inches long. How far will they be traveling to the meet? Show your work.

Answers

(60x2)+30 = 150 miles

30 = 1/2 of 60 which is half an inch

60 x2 because he travels 2 inches

What is the measure of the angle in the polygon shown below?A.B.C.D.​

Answers

C.130°

Answer:

Solution given:

no of sides(n)=6

now

total interior angle of polygon having 6 sides is

(n-2)*180=(6-2)*180=4*180=720°

we have

Sum of interior angle of polygon: 720°

130°+100°+130°+130°+100°+?=720°

590°+?=720°

?=720°-590°

?=130°

Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.

A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres

Answers

Answer: B: 3.45

Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.

Write an equation to represent the image.

Answers

Answer:

m+1/4=2/3

Step-by-step explanation:

please mark me as brainlest

i don’t know what i’m doing lol

Answers

X=2

To find this I looked at the 6 and 4.
I found a common denominator, 2 in this case, and divided. This gave me 3 and 2. So, we already know x=2.

If you don’t understand, let me know

A circle has a radius of 10 ft. What is its circumference?
Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Circumference of a circle = pi x diameter

pi = 3.14

diameter = radius x 2
diameter = 10 x 2
diameter = 20

Circumference = 3.14 x 20
Circumference = 62.8 ft

Answer:

62.8 ft

Step-by-step explanation:

Circumference = 2πr

2 * 3.14 * 10 = 62.8

A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number​

Answers

Answer:

The number = 45

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

10*x + y = 5(x + y)                        Start here: remove the brackets

10*x + y + 9 = 10y + x                   Subtract y and 10x from both sides

Using the first equation

10x + y = 5x + 5y

5x + y - 5y = 0

5x - 4y = 0

5x = 4y

y = 5/4x

From the second equation

9 = 9y - 9x

1 = y - x           Substitute y = 5/4 x

1 = 5/4x - x

1 = 1/4  x

x = 4

y = 5/4 * 4

y = 5.

Unit 8 right triangles and trigonometry homework 5

Answers

Answer: Bro. Thats not telling us anything

Step-by-step explanation:

HELP PLEASE!!!!! THIS IS DUE TODAY!!!!

Answers

Answer:

nonlinear

Step-by-step explanation:

it's a parabola

I need so much help with this question

Answers

Step-by-step explanation:

Looking at the graph, we can see that

A = (3, -3)

B = (10, -5)

C = (6, -8)

Reflecting over the y axis means reflecting over the big, bold vertical line in the middle. To do this for a point (x, y) simply means changing the x value to -x. For example, to reflect (6, 7) over the y axis, we would turn it into (-6, 7)

A' = (-3, -3)

B' = (-10, -5)

C' = (-6, -8)

Plot these points on the graph and connect them to get your new triangle

a=5 and b=-5 , 2ab-a^(2)

Answers

Answer:

Step-by-step explanation:

2(5)(-5)-(5)^2

=−75

4b + 8 / -2 = 10
what is the answer

Answers

Answer:

7/2

Step-by-step explanation:

4b+8/-2=10

4b-4=10

4b=10+4

4b=14

b=14/4

simplify

b=7/2

How do I solve this please look for the x and then the y

Answers

Answer:

x + y = 75

Step-by-step explanation:

2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is

2x - 5 + 75 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Then

2x - 5 = 2(55) - 5 = 110 - 5 = 105

2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so

4y + 25 = 105 ( subtract 25 from both sides )

4y = 80 ( divide both sides by 4 )

y = 20

Then x + y = 55 + 20 = 75

May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?

Answers

Answer:

  65

Step-by-step explanation:

65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.

You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?

Answers

Answer:

$5089.38

Step-by-step explanation:

Given cylinder with:

d = 24 ft, h = 6 ft

We need to fill it up to:

h = 6 ft * 3/4 = 4.5 ft

The volume is:

V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)

You need to spend:

2035.75 * $2.50 = $5089.38  (rounded)
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