Jake runs either 15 kilometers or 8,500 meters each day.He alternates short and long runs. how many meters farther will he run on his two long run days than on his two short run days?Describe how you found your answer

Answers

Answer 1
The problem says that Jake runs either 15 kilometers or 8,500 meters each day and he alternates short and long runs. Then, to solve the problem you must follow the proccedure below:

 1. The answer must be expressed in meters, so, you have to convert 15 kilometers to meters:

 1 kilometer------1,000 meters
 15 kilometers---x=

 x=15x1000/1
 x=15,000 meters

 2. Then, you have:

 On his two long run days=(15,000 meters)(2)=30,000 meters

 On his two short run days=(8,500 meters)(2)=17,000 meters

 3. Finally, you obtain:

 30,000 meters-17,000 meters=13,000 meters

 How many meters farther will he run on his two long run days than on his two short run days?

 The answer is: 13,000 meters
Answer 2
To solve this, the first thing we are going to do in convert 15 km to meters to see which one is the distance of the long runs. To do that we are going to take advantage of the fact that [tex]1km=1000m[/tex], and with this we are going to set up a conversion fraction as follows:
[tex](15km)( \frac{1000m}{1km} )=15000km[/tex]
We now now that the ditance he covers in his long run days is [tex]15000m[/tex], and in his short run is [tex]8.5km[/tex].
Lets find out the distance he will cover on his two long run days:
[tex]2(15000m)=30000m[/tex]
Likewise, lets find the distance he will cover in his short run days:
[tex]2(8500m)=17000m[/tex]
Now, we just need to find the difference between the tow distances:
[tex]30000m-17000m=13000m[/tex]

We can conclude that we will run 13,000 meters further in his long runs than in his short runs.

Related Questions

Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of those sheets are secondary colors?

Answers

10 of those sheets are secondary colors.

40% = 0.4
0.4(25) = 10

Total Number of sheets of construction paper= 25

The Percent of the sheets of construction paper that are secondary color = 40%

Percent means out of 100.To find number of secondary color sheet we find 40% of 25.

40%=[tex] \frac{40}{100} [/tex]

Number of sheets which are of secondary color=[tex] \frac{40}{100} of 25 =\frac{1000}{100} =10 [/tex]

Number of secondary color sheets =10.


PLEASE HELP!!!
A park charges $15 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $25 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?

Answers

1 round = $15
6 round = $25

So, (25-15/6-1) = 10/5 = 2.

Check:
1r - 15
2r - 17
3r - 19
4r - 21
5r - 23
6r - 25

A few years ago, a total of 2682 thousand people lived in the metropolitan areas of Las Vegas, Nevada, and Sacramento, California. Sacramento had 276 thousand more residents that Las Vegas. What was the population of each metropolitan area? 50 POINTS

Answers

2,682,000 total

2,682,000 - 276,000 = 2,406000

2,406,000 / 2 = 1,203,000 lived in Nevada

1,203,000 + 276,000 = 1,479,000 lived in California

The attendance of your club increased by 30% from last year. There are 195 people in the club now. How many people were in the club last year?

Answers

130% of n is 195 where n is the number of people in the club last year

1.3n = 195
n=195÷1.3
n=150

Answer

increased by 30% from last year. There are 195 people in the club now.

How many people were in the club last year

Step-by-step explanation:

1.3n = 195

n=195÷1.3

n=150 people where in the club last year.

In need of some help please.

Answers

By the Pythagorean theorem
  50^2 = x^2 +(x +34)^2
  2500 = 2x^2 +68x + 1156
  x^2 +34x -672 = 0
  (x -14)(x +48) = 0
  x = 14 or -48

The distance from the wall to the base of the ladder is 14 ft.

_____
7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.

Which of the following in equalities matches the graph?

A)-2x+3y>7
B)2x-3y<7
C)-3x+2y >7
D)3x+2y<7

Answers

D)3x+2y<7 hope i helpeds

help help help me
please

Answers

when the base is the same, and it is a ÷, subtract the exponents (if it is a ×, add the exponents):
-11/3-(-2/3)=-9/3=-3
4^(-3)=1/4³=1/64
the first choice is correct. 
[tex]4^{- \frac{11}{3} }:4^{- \frac{2}{3} }=4^{- \frac{11}{3}-(- \frac{2}{3})}=4^{- \frac{11}{3}+ \frac{2}{3}}=4^{- \frac{9}{3}}=4^{-3} = \frac{1}{4^3}= \frac{1}{64} [/tex]

The answer is A

If a Play Station was bought for $450 after a 10% discount what was the original price of the Play Station?

Answers

If it was bought after 10% discount, it means it was bought at 90% of the original price:
90% = $450 
1% = $5
100% = $5 x 100
100% = $500

The original price of the Play Station was $500.

If a Play Station was bought for $450 after a 10% discount. Therefore, The original price of the Play Station was $500.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

It is given that If it was bought after a 10% discount, means it was bought at 90% of the original price:

90% = $450

1% = $5

100% = $5 x 100

100% = $500

Therefore, The original price of the Play Station was $500.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

Isabela had a taxable income of $82350 and filed her federal income tax return with the single filing status. Using the table below find the amount she has to pay in taxes.

Answers

B. $16,778.00.  Isabella falls in the 82,250 - 171,550 tax bracket. She must pay 16,750.00 plus 28% of the value over 82,250. which is 100 dollars. 100*0.28 or 28 dollars is added to the 16,750.00 tax

Answer:

B. $16,778.00.

Step-by-step explanation:

Which certificate is the lowest level certification that a personal finance manager requires to sell mutual funds, trusts, and variable annuities?

Answers

Which certificate is the lowest level certification that a personal finance manager requires to sell mutual funds, trusts, and variable annuities?

The answer is series 6 certificate.

The series 6 certificate helps an individual to purchase or sell mutual funds, variable life insurance, municipal fund securities, variable annuities and unit investment trusts.

Answer:

The answer is option B - series 6 certificate.

Step-by-step explanation:

Consider the diagram.



The congruence theorem that can be used to prove △LON ≅ △LMN is

SSS.
ASA.
SAS.
HL.

Answers

Side Side Side is the answer

We have been given an diagram and we are asked to find the congruence theorem that can be used to prove △LON ≅ △LMN.

We can see from our diagram that side LO of △LON equals to side LM of △LMN. We can also see that side ON △LON of equals to side MN of △LMN. Side LN equals to itself.

We can see that three sides of triangle LON are congruent to three sides of triangle LMN. Therefore, by SSS (Side-Side-Side) congruence △LON ≅ △LMN.

A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.

The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

The function p(x)=100−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.



What does (p⋅c)(2) mean about the horse-drawn carriage tour company?


The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $60.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $40.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $40.

Answers

(p * c) = 
(100-2x) (50+5x)

(p * c) (2) =
(100-2*2) (50+5*2)
(96) (60)
=5760

Answer is B.


Answer:

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

We have,

The function representing the price charged by the customers is [tex]c(x)=50+5x[/tex].

The function representing the number of customers is [tex]p(x)=100-2x[/tex].

Then, the product of the functions is given by,

[tex](p\times c)(x)=p(x)\times c(x)\\\\(p\times c)(x)=(100-2x)(50+5x)\\\\(p\times c)(x)=-10x^2+400x+5000[/tex]

Substituting x = 2 in the above product gives,

[tex](p\times c)(2)=-10\times 2^2+400\times 2+5000\\\\(p\times c)(2)=-40+800+5000\\\\(p\times c)(2)=\$ 5760[/tex]

Also, the charge per customer when x = 2 is,

[tex]c(x)=50+5x\\\\c(x)=50+5\times 2\\\\c(x)=50+10\\\\c(x)=\$ 60[/tex]

Hence, the product (p-c)(2) represents,

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Please help with this.


Quadrilateral ABCD ​ is inscribed in circle O.

What is ​ m∠C ​ ?



Enter your answer in the box.

Answers

Hello,

When you have an polygon inscribed in a circle, the opposite angles are supplementary.

Therefore, we can write and solve the following equation.
2x + 3 + 4x + 3 = 180
6x = 174
x = 29

If you substitution 29 into the expression for C, you will find that C = 59.
2(29) + 1 = 59

Good luck,
MrEQ

What is the slant height of a square pyramid that has a surface area of 279 square meters and a side length of 9 meters?

Answers

Answer:

l = 11 meters

Step-by-step explanation:

Surface area = s² + 2s*l

Where "l" is the slant height

Given: Surface area = 279 ; side length s = 9

Now plug in these values in the above formula, we get

279 = 9^2 + 2*9*l

279 = 81 + 18*l

18l = 279 - 81

18l = 198

Dividing both sides by 18, we get

l = 198/18

l = 11 meters

Therefore, slant height of the square pyramid = 11 meters

Hope this will helpful.

Thank you.

The rule (x,y) →(x + 7, y - 10) represents a translation



7 units left and 10 units up


7 units right and 10 units down


7 units right and 10 units up


7 units left and 10 units down

Answers

The last on is the answer hopes this helps 

The sum of two numbers is 13, the difference is 4. What are the numbers?
Please Help!

Answers

4.5 and 8.5_ _ _ _ _ _ _ _ _ _

If a and b are real numbers and if y = ax + b is a direct variation equation, what do you know about a and b?

Answers

y = ax + b
 We observe that the given equation is the generic equation of a line.
 Where,
 a = represents the slope of the line. That is, the rate of change of the given function. (in this case it is constant).
 b = is the cut point with the y axis.

Nita brings $6 to her grandma's house. these dolls represent 20% of Anita's doll collection shown in the diagram. what is the total number of dolls in Anita's doll collection

Answers

30 dolls. 

You can get this by multiplying the number in 20% by 5, which would get you to 100% and 30. 

Please, could anyone help????
please explain it and how to it.......

BRAINLIEST WILL BE GIVEN TO CORRECT


Answers

to find the x intercept you plug in 0 for y then solve for x and to find the y intercept you plug in 0 for x and solve for y in the end you should get x =7/3 and y=-3 if you did the math correctly 
3rd one is the correct answer

What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm2 of sheet metal? Sketch the hexagon, dimension the side length on the sketch to 0.1 cm, and indicate your grid spacing. Justify your dimension.

Answers

The side length to create a regular hexagonal plate is 3.6 cm. Using the GeoGebra graph to create the sketch where 1 unit = 0.1cm.

The side length of a regular hexagon.

The side length of a regular hexagon can be calculated by using the formula:

[tex]Area=\dfrac{3\sqrt{3}}{2}\times S^2[/tex]

where; S = side length

[tex]S=\sqrt{\dfrac{2 \times Area }{3\sqrt{3}}[/tex]

Given that the area is 33 cm²

[tex]S=\sqrt{\dfrac{2 \times 33 }{3\sqrt{3}}[/tex]

Side length (S) = 3. 56 cm

Therefore, the side length to create a regular hexagonal plate is 3.6 cm. See below for the sketch of the hexagon where 1/2 unit = 0.1cm.

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

i think that should be "D" or "A"
The answer is .5 or 1/2


Which system of equations can you
use to find the roots of the equation
2x3 + 4x2 – x + 5 = –3x2 + 4x + 9?

y = 2x3 + x2 + 3x +5
y =9

y = 2x3 + x2
y = 3x + 14

y = 2x3 + 4x2 – x + 5
y = –3x2 + 4x + 9

Answers

The answer is y = 2x3 + 4x2 – x + 5 and  y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1

Proof:

Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9

Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0

The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0

Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0

Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0

Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0

Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1

Divide both sides by 2:

Answer:  x = 1 or x = -4 or x = -1/2

Answer:

c the last one

Step-by-step explanation:

Currently, the highest tax bracket in united state is____.

A. 1%
B. 10%
C. 0%
D. 35%

Answers

the answer should be D hope this helps :)

Answer:

35%

Step-by-step explanation:

One gallon of paint covers 200 square feet. How many gallon are needed to paint a rectangular floor that is 60 feet by 40 feet

Answers

Area of floor=(60)(40)=2400 square feet

1 gallon for 200 sq ft

(2400 sq ft)/(200 sq ft) = 12 gallons of paint

In the rhombus, what are m angle 1, m angle 2, and m angle 3? The diagram is not drawn to scale.

Answers

Angle 1 = 128
Angle 2 = 64
Angle 3 = 64

If you'd like an explanation, let me know!
Hope this helps!! :)

A circle has a radius of 12.6 cm.

What is the exact length of an arc formed by a central angle measuring 120°?



Enter your answer in the box. Express your answer using π .

Answers

we know that

[the length of a circumference]=2*pi*r
for r=12.6 cm
[the length of a circumference]=2*pi*(12.6)---------> 25.2*pi cm
this is the length for an arc of 360°  (full circumference)

now calculate the length for an arc of 120° (applying a rule of three)  
if 360°-----------------> 25.2*pi cm
 120°---------------> X
X=120*25.2*pi/360----------> 8.4*pi

the answer is 8.4*pi

The radius of a circle is 1 foot. What is the length of a 45 degree arc

Answers

Final answer:

The length of a 45 degree arc on a circle with a radius of 1 foot is π/4 feet.

Explanation:

The length of a 45 degree arc can be calculated using the formula for the circumference of a circle. The formula for the circumference is given by C = 2πr, where r is the radius of the circle. In this case, the radius is given as 1 foot. So, we can plug in the values to calculate the circumference as C = 2π(1) = 2π feet.

To find the length of a 45 degree arc, we need to find the fraction of the circumference that corresponds to a 45 degree angle. Since a full circle is 360 degrees, a 45 degree angle is 45/360 = 1/8 of the circumference. Therefore, the length of a 45 degree arc is 1/8 of the circumference, which is (1/8)(2π) feet.

Simplifying this expression, we get the length of a 45 degree arc as (1/8)(2π) = π/4 feet.

A bowling ball leaves a bowler's hand. An accelerometer inside the ball reads zero. Which of the following best describes what happens to the ball?

A. The ball speeds up.

B. The ball moves at a constant speed.

C. The ball curves toward the gutter.

D. The ball slows down.

Not quite sure what this means :( Thanks!! @perl :)

Answers

Acceleration is the change in velocity, so if there is zero acceleration, the ball's speed and direction are constant. Therefore, the only plausible answer to our question is B. This is because the ball's speed stays the same, and its direction is also constant.

Two buildings are 200 feet apart. The height of the taller building is 50 ft. The angle of depression from the top of the taller building to the top of the shorter building is 8°. What equation below will correctly determine the height (h) of the shorter building?

Answers

tan 8 degrees = x / 200
200 times tan 8 = x
28.10816694 = x 
28 feet
x is the "missing" part of the shorter building 
so now you take 50 feet and subtract it by 28 feet and you will have the height of the shorter building

50 - 28 = 22

the shorter building is 22 ft

Your friend is looking at laptops for college, and is comparing the different screen sizes. Use the diagram and formula below to find the width of the laptop screen. Round your answer
D= W^2+H^2
(The image of the figure is a rectangle in half, the top side is D= 17inch the H= 9inch, W is blank)
Mutiple choices are
A. W= 16.7 inch
B. W= 9.9 inch
C. W= 8 inch
D. W= 14.4 inch

Answers

For this case what we should do is write correctly the given equation:
 D ^ 2 = W ^ 2 + H ^ 2
 We substitute the values:
 D = 17inch
 H = 9inch
 Substituting:
 17 ^ 2 = W ^ 2 + 9 ^ 2
 We clear the value of W:
 W = root (17 ^ 2 - 9 ^ 2)
 W = 14.4 inch
 Answer:
 
The width of the laptop screen is:
 
D. W = 14.4 inch

Answer:

The Answer is 14.4inch for Apex!

Step-by-step explanation:

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