Kane is training for a marathone. He started by running 3 miles during every training session. Each week plans to increase the distance of his run by 1/4 mile

Answers

Answer 1

Complete question :

Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks

Answer:

(11 + w ) / 4

Step-by-step explanation:

Given the following :

Initial miles kane plans to cover per session = 3 miles

Increase in miles covered per session = 1/4 mile per week

Hence, distance covered after w weeks :

Using the sum of an arithmetic progression formula:

Tn = a + (n - 1) d

a = first term = Initial / starting distance = 3 miles

n = nth term = number of weeks = w

d = common difference = constant increase in distance per week = 1/4

Hence, after w weeks :

= 3 + (w - 1) × 1/4

= 3 + (w/4 - 1/4)

= 3 + (w - 1) / 4

Taking L. C. M

(12 + w - 1) / 4

(11 + w ) / 4

Answer 2

The expression that shows the distance Kane runs in a training session after w weeks will be; (11 + w ) / 4

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that the Initial miles kane plans to cover per session = 3 miles

The Increase in miles covered per session = 1/4 mile per week

Using the sum of an arithmetic progression formula to calculate the distance covered after w weeks

Tn = a + (n - 1) d

a = first term = 3 miles

n = nth term = number of weeks = w

d = common difference = the constant increase in distance per week = 1/4

Hence, after w weeks,

= 3 + (w - 1) × 1/4

= 3 + (w/4 - 1/4)

= 3 + (w - 1) / 4

= (12 + w - 1) / 4

= (11 + w ) / 4

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Complete question :

Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the distance kane runs in a training session after w weeks.


Related Questions

Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?

Answers

Answer:

9 inch by 15 inch

Step-by-step explanation:

45/5=9 in

75/5=15 in

Would someone mind giving me the answer?

Answers

howdy! the answer would be deductive!

n/r = b/a solve for a

Answers

n/r = b/a

n*a = b*r

a = b*r/n

... Hope this will help...

Simplify. 3x – 8(x + 4)

Answers

Answer:

-5x - 32

Step-by-step explanation:

Use distributive rule :   a(b + c) = ab + ac

3x - 8(x + 4) =3x + x*(-8) + 4*(-8)

                   = 3x - 8x - 32         {combine like terms}

                    = -5x - 32

Classify ΔXYZ. Question 3 options: A) Equilateral triangle B) Scalene triangle C) Isosceles triangle D) Right triangle

Answers

Answer:

as triangle has different length in each side it is scalene

Step-by-step explanation:

-5x + 4 = 2x + 16
How do I solve this

Answers

Subtract 2x from both sides then you’d have -7x+4=16 Then you subtract 4 from both sides and you’d get -7x=12. Next you divide both side by -7 so x=1.75 rounded to the nearest hundredth.

Find the domain and range of the following absolute value functions. 1 _____ f(x) = |x+6| I’ll mark u the brainliest to whoever answer first

Answers

Answer:

x = > R

y = > [ 0 , infinity )

Step-by-step explanation:

Domain :

f ( x ) = | x + 6 |

Clearly we can put any value for f ( x )

x = > R

Range :

Using input restriction:

For min of x = - 6

y belongs to [ 0 , infinity )

Hence we get answer.

Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

|x+6|=|x-12|

x+6=±(x-12)

when x+6=x-12

6=-12

which is impossible hence rejected.

x+6=-(x-12)

x+6=-x+12

x+x=12-6

2x=6

x=6/2=3

so x=3

How is 5,067,000 written in standard scientific notation?

Answers

Answer:

5.067e6

Step-by-step explanation:

A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base? A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base?

Answers

Answer:

for first parallelogram

Area of parallelogram = b*h= 3.5*2= 7square unit

for second parallelogram

Area of parallelogram = b*h = 1.8 square unit

or, 3*h = 1.8

h= o.6unit

For third parallelogram

Area of parallelogram = b*h = 20.4square unit

4*b= 20.4

b=5.1 unit

Step-by-step explanation:

Space is ok ya know that it’s is 20.4 square units

7. What is the sign of c:d, c>0 and d<0?
POSITIVE
O NEGATIVE
ZERO

Answers

Answer:

It would be c>0

Step-by-step explanation:

Which linear function has the same y-intercept as the one that is represented by the graph?

Answers

Answer:B is the answer

Step-by-step explanation:

Answer:

The answer would be C because the y-intercept is when x is equal to 0

Step-by-step explanation:please mark me brainliest

Solve the system of equations: 3x + 4y = 11 x – 2y = – 3

Answers

Answer:

{x,y}={1,2}

Step-by-step explanation:

Answer: (x , y) = (-9/5x , -12/25)


Step by step explanation:

Find AC if AB = 17 and BC = 9

Answers

Answer:

ANSWER:-

Step-by-step explanation:

AB+BC=AC

17+9

=26 is the answer.

HELP ME PLEASE I NEEED THIS <33

Answers

Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees

I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.

Answers

Answer:

225 mg remain in Aldi bloodstream

Step-by-step explanation:

150mg of amoxicillin was given daily for 10 days equals 1,500

of the 1500-40% =600mg

600mg divided by  4 days = 225mg still in blood stream

3³ + 5 ² = 2x

work out the value of x

Answers

Answer:

X = 26

Step-by-step explanation:

3^3 + 5^2 =2x

27 + 25 = 2x

52 = 2x

Divide by 2

X = 26

La Tonya has 16 photos in her purse, and Luís has p photos in his wallet. They have a total of 37 photos

Answers

Answer:

21

Step-by-step explanation:

(p)=37-16

Which expression is 5y - 9x + 21y equivalent to after being simplified?
20y + 9x, 26y - 9x, -9x - 16y, or 30xy

Answers

Answer:

[tex]26y-9x[/tex]

Step-by-step explanation:

[tex]5y-9x+21y[/tex]   Add 21y and 5y.

Hope this helps, have a great day:)

Convert 42.4 inches to meters.Round your answer to 2 decimal points

Answers

Answer:

1.07m

Step-by-step explanation:

the first step is to convert inches to cm

1in =2.54cm

(42.4in/1in x2.54cm)

42.4in = 107.69cm

then convert cm to m

1cm =0.01m

(107.69cm/1cm x 0.01m)

107.69cm =1.0769m

~1.07m

B·11 identity the expression as a numerical expression or algebraic expression

Answers

Answer:

Step-by-step explanation:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.

how to write 53/198 as a decimal


Answers

Answer:

__

0.2676 or 0.268

Step-by-step explanation:

53 ÷198

PLEASE HELP
5 years ago, my grandma was 5 times as old as me. 3 years from now, my grandma will be 3 times as old as me. how old am i now?

Answers

Would you be seven?

Answer:

you would be 2 years older so you would be 7

Step-by-step explanation:

5 - 3 = 2

5 + 2 = 7

Evaluate 0 × |-6|. ......

Answers

Answer:

0

Step-by-step explanation:

Any value multiplied by zero equals zero , thus

0 × | - 6 | = 0

The 0 × 6 equals 0.

To evaluate the expression 0 × |-6|, to determine the absolute value of -6, which is 6 since the absolute value of a negative number is its positive counterpart. Next, we multiply 0 by 6.

When  multiply any number by zero, the result is always zero. This is because zero represents the absence of quantity or value. Therefore, regardless of the value multiply by zero, the product will be zero. multiplying 0 by 6 yields zero as the final result. So, 0 × |-6| equals 0. This is because no matter the value of |-6|, the presence of a zero factor makes the overall product zero.

To know more about equals here

https://brainly.com/question/33293967

#SPJ6

solve for x: 3/2+1/2x=2x​

Answers

Answer is: x=1

Step by step explanation:
3+x=4x
x-4x=-3
-3x=-3
x=1

Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest

Answers

Answer:

256

Step-by-step explanation:

all you had to do was plug (t=1) in t in the equation

so

16(1)^2=256

Answer:400 ft

Step-by-step explanation:

The graph of y = f(x) is shown below. What are all of the real solutions of f(x)
= 0?

Answers

Answer:

x = -8, 0 and 6

Step-by-step explanation:

Graphed function in the picture,

y = f(x)

Solutions of a function are defined by the points on x-axis where the graph intersects or touches.

In the given graph, curve of the function touches the x-axis at x = -8 and crosses the x-axis at x = 0, 6

Therefore, real solutions of the function 'f' will be x = -8, 0 and 6.

6²-26+3
A) quadratic monomial
B) cubic binomial
C) quartic trinomial
D) quadratic trinomial

Answers

I’m pretty sure it’s d
The answer would be D

what are the common multiples of 8 and 12?

Answers

Answer:

common multiples: 24, 48, 72, 96

Answer:

common multiples include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.

or 12, 24, 36, 48, 60, 72, 84, 96.

Step-by-step explanation:

4y-8-2y=4
2x+7=x-1
-3x+7=x-1
2x-1-1=x-3-(-5+x)
10=x+6+2x
3+3x-(x-2)=3x+4
-4+3x-1=2x+1+2x
-(x+3) = 2x-6
no need for an explanation just please answer then I need help for every single one

Answers

Answer:

Use the given functions to set up and simplify .

2

x

+

7

=

x

1

=

3

x

+

7

=

x

1

=

2

x

1

1

=

x

3

(

5

+

x

)

=

x

=

2

10

=

x

+

6

+

2

x

=

=

3

x

+

6

3

+

3

x

(

x

2

)

=

3

x

+

4

=

x

=

1

4

+

3

x

1

=

2

x

+

1

+

2

x

=

x

=

6

(

x

+

3

)

=

2

x

6

=

x

=

1

Step-by-step explanation:

Other Questions
When a snack bar opens, the cash register contains at least 50 dollars in $1 and $5 bills. Which of these inequalities represents this situation, where x is the number of $1 bills and y is the number of $5 bills? 1. Order each group ofnumbers from least togreatest:9,6169,016 9,916 9.916.1 In which Group do most of the elements have 8 valence electrons?A. Transition metalsB. Alkaline earth metalsC. HalogensD. Noble gases Element T exists as three isotopes: T-12 (98.90%), T-13 (1.00%) and T-14 (0.10%). Calculate theaverage atomic mass of the element T.Answer choices:- 12.01 amu- 11.72 amu- 1200 amu- 13 amu How does the arrangement of atoms differ in crystals and glass? A biker starting from rest reaches a final speed of 3.0 m/s in 3 seconds. What is the acceleration of the biker? Are individual organelles (cell structures) living? Defend your answer. Find the value of x. [Picture below] Army is better than police. How? Solve the equation, and check your solution.-3/5n = -9 . List 3 ways you can make the following meals healthier? Roast beef with mashed potatoes, gravy, honey glazed carrots, a dinner roll with butter, and lemonade to drink. PLS HELP ASAP IF YOU CAN!! If you flip a coin ten times and get tails three times; what is the experimental probability of getting heads? 2. In the above figure, what type of cylinder arrangement is shown in the figure above?O A. In-lineO B. L-TypeO C. HorizontalO D. V-Type can you help me with this queistion The box plot is based on the?meanmedianmoderange what effect does discrimination have on its victims? Are enzymes made out of carbohydrates Does race influence names in our lives? PLEASE HELP ASAP, I NEED TO DO THIS BUT DONT KNOW HOW TO. Describe how free markets solve the problem of coordination. Why do command economies struggle with this problem?