Courtney walked from her house to the beach at a constant speed of 444 kilometers per hour, and then walked from the beach to the park at a constant speed of 555 kilometers per hour. The entire walk took 222 hours and the total distance Courtney walked was 888 kilometers.

Answers

Answer 1

Answer:

I suppose that each number is repeated 3 times, the actual question is:

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.

Now, remember the relation:

Distance = Speed*Time

Let's define:

D1 = distance between Courtney's house and the beach.

D2 = distance between the beach and the park.

T1 = time that it took the first walk.

T2 = time that it took the second walk.

We know that the total distance Courtney walked is 8km, then:

D1 + D2 = 8km.

And we also know that the entire walk took 2 hours, then:

T1 + T2 = 2h.

We also have the equations:

D1 = 4km/h*T1

D2 = 5km/h*T2.

Then we have a system of equations:

D1 + D2 = 8km

T1 + T2 = 2h

D1 = 4km/h*T1

D2 = 5km/h*T2.

To solve this, first let's replace equations 3 and 4 in the first equation:

4km/h*T1 + 5km/h*T2 = 8km

Now we have only two equations left:

4km/h*T1 + 5km/h*T2 = 8km

T1 + T2 = 2h

Now we can isolate one of the variables in the second equation and then replace it in the first equation, i will isolate T1:

T1 = 2h - T2.

Replacing this in the first equation gives:

4km/h*(2h - T2) + 5km/h*T2 = 8km

Now let's solve this for T2.

8km - 4km/h*T2 + 5km/h*T2 =  8km

8km + 1km/h*T2 = 8km

1km/h*T2 = 0

from this, we have T2 = 0

This would mean that T1 = 2h.

Then:

D1 = 4km/h*2h = 8km.

T2 = 0

D2 = 5km/h*0 = 0.

This happens because the numbers in the problem were not well thought.

You can see that when she spends the 2 hours walking at the smaller speed, she already reaches the total distance, then if she walked any amount of time at the larger speed, the total distance would be more than 8km.


Related Questions

The population of mexico has been increasing at an annual rate of 1.7%. If the population of mexico was 104900000 in the year 2003, predict the population of mexico in 2019

Answers

Answer: 137,375,958

Step-by-step explanation:

Exponential growth equation:

[tex]y=A(1+r)^x[/tex] , where A = initial population , x= time , r =rate of growth.

As per given: r = 1.7% = 0.017

Population of Mexico in 2003 : A= 104900000

In 2019 , x = 2019-2003 = 16

Population in Mexico :  [tex]y=104900000 (1+0.017)^{16}=104900000 (1.017)^{16}[/tex]

[tex]=104900000 (1.30958968823)\approx137375958[/tex]

Population of Mexico in 2019 = 137,375,958

4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer​

Answers

Answer:

$42

Step-by-step explanation:

Equation: y = 6x

x = number of ice cream cones

y = 6(7) = 42

Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

so the answer is B

Step-by-step explanation:

5 squared = 6 squared + x squared

x squared = 36 - 25

x squared = 11

x = radical 11

A bird is flying at a constant rate.

This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.

Which statement best describes the bird's elevation, given this equation?


The bird started at a height of 15 meters and is ascending at 8 meters per minute.

The bird started at a height of 8 meters and is ascending at 15 meters per minute.

The bird started at a height of 15 meters and is descending at 8 meters per minute.

The bird started at a height of 8 meters and is descending at 15 meters per minute.

Answers

Answer:

the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.

Step-by-step explanation:

i know things

Answer:

the answer is A

Step-by-step explanation:

What value of x makes the vertical parts of the letter N parallel?
picture provided

Answers

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[tex]2x + 9 = 5x[/tex]

[tex]5x = 2x + 9[/tex]

Subtract sides 2x

[tex] - 2x + 5x = - 2x + 2x + 9[/tex]

[tex]3x = 9[/tex]

Divide sides by 3

[tex] \frac{3x}{3} = \frac{9}{3} \\ [/tex]

[tex]x = 3[/tex]

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CHECK :

[tex]2x + 9 = 5x[/tex]

[tex]2(3) + 9 = 5(3)[/tex]

[tex]6 + 9 = 15[/tex]

[tex]15 = 15[/tex]

So the value is correct.

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Ciara brought $240 to spend on gifts for her family. she found 8 identical statues at a gift shop. she had $75 leftover. How many did each cost?

Answers

Answer: about 20$ and 63cents

Step-by-step explanation:

240-75=165

165/8=20.265

How many 10 digit phone numbers are possible with area code of 416?

Answers

Answer:

Eleven digits for toll calls became standard in all of North America by the end of 1994 to allow introduction of "interchangeable NPA codes" – area codes that did not have a 0 or 1 as the middle digit and could therefore be confused with the central office code – after January 1, 1995.

Step-by-step explanation:

Write an equation in point-slope form, slope intercept form, and standard form for a line that passes through (-2,8) with slope 8/5

please help :(((( don’t give answers if you aren’t sure

Answers

9514 1404 393

Answer:

y -8 = 8/5(x +2)y = 8/5x +56/58x -5y = -56

Step-by-step explanation:

Since you're given a point and slope, it is convenient to start with that form.

Point-slope form

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -8 = 8/5(x +2) . . . point-slope equation

__

Slope-intercept form

  y = mx + b . . . . . line with slope m and y-intercept b

The above equation can be rearranged to this form.

  y = 8/5x +16/5 +8

  y = 8/5x +56/5 . . . . . slope-intercept form

__

Standard form

  ax +by = c

Multiplying by 5 and subtracting the y-term gives the general form equation ...

  5y = 8x +56

  8x -5y +56 = 0

  8x -5y = -56 . . . . . . add -56 to put into standard form

Please answer!!! Will mark brainiest!!

Answers

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Which team has the best record? Explain how you know. a. Jules' Rules; For every three games that they played, they only lost 1. b. High-5s; For every nine games that they played, they only lost 1. c. Pink Sox; For every four games that they played, they only lost 1. d. Go-Girls; For every ten games that they played, they only lost 1.

Answers

Answer:

D. Go-Girls; For every ten games that they played, they only lost 1.

Step-by-step explanation:

They win nine games and lose one

9:1 is the ratio

d. Go-Girls; For every ten games that they played, they only lost 1 and performed the best.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Let, The numerator of a fraction represents the number of games lost and the denominator represents the total number of games played.

Therefore, The fractions that represent this context for all the teams are,

1/3, 1/9, 1/4 and 1/10.

We know the value of a fraction increase with the same numerator and smaller and smaller denominator.

So, The fraction 1/10 has the least value which indicates that it is the best performer.

learn more about fractions here :

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sup help me plz owo owo

Answers

The answer should be 8x^2-4x-5
8x^2-4x-5 I think I am not sure

find the mean of the following numbers 7 21 2 17 3 13 7 4 9 7 9

Answers

Answer:

9

Step-by-step explanation:

sum of the terms

mean=------------------------------

number of the terms

The mean of the numbers is 9.

Mean is a measure of central tendency. It is the average of a set of numbers. The value of the mean of a set of numbers can be determined by adding the given numbers together and dividing it by the total number.

Mean = sum of numbers / total numbers

Sum of numbers = 7 + 21 + 2 + 17 + 3 + 13 + 7 + 4 + 9 + 7 + 9 = 99

Total number = 11

Mean = 99 / 11 = 9

To learn more about the mean of a set of numbers, please check: https://brainly.com/question/15420908

Timmy wants to buy a scooter and the price was $150. When he goes to the store a

second time, he found that the price was marked down by 15%. Then when he gets to the

register the cashier tells him today only he gets an additional 10% off the sales price. What is

the final cost of the scooter including the discounts?

Answers

Answer:

112.5

Step-by-step explanation:

total discount: 25%

Answer:

Step-by-step explanation:

150*15% off =22.50 off total 127.50. Then he gets the 10% off 127.50*10%= 12.75 off total cost $114.75

It may look like 25% off at once, but most stores will do the discounts separately so they don't lose too much money.

Write the equation of the line that passes through the points (-5, 7) and (2, -4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

y=-3/2x-1 :) there you go !

Express $3.29 for 24 cans as a unit rate. Round to the nearest cent.

Answers

Answer:

0.14 cents per can

Step-by-step explanation:

$3.29 divided by 24 cans gives a unit rate or price per can of $0.14 per unit or per can.

Good luck.

Hope this helps!

Answer: 0.1$

Step-by-step explanation:

$ 3.29 divided by 24 cans would be .137...

If we found to the nearest cent, the answer is .1$

If l is parallel to m, solve for x and y.

Answers

Answer:

x=17, y=9

Step-by-step explanation:

(5x - 38)° = (3x - 4)°

2x = 34

x=17

(5(17)-38))=47

90°+47°+(7y-20)=180°

7y-20=43°

y=9

The value of x is 17 and y is 9.

What are the properties of parallel lines?

Following are the properties of parallel lines,

The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.

Given:

<1 = 7y -20

<2 = 5x - 38

<3 = 90

exterior angle = 3x -4

Using alternate interior angle

5x - 38 = 3x-4

2x = 34

x=17

So, <2 = (5(17)-38))

<2 =47

Using angle sum property

90°+47°+(7y-20)=180°

7y-20=43°

y=9

Hence, the value of x is 17 and y is 9.

Learn more about parallel lines here:

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What is the measure of ∠I? Explain. (1 point)

Answers

i think you forgot to put a picture in..

Pls help! thank you! **will crown branliest**

Answers

1 = 40
2 = 110
3 = 20

this is what i got. your teacher may want you to do it another way

Find the midpoint of a segment with endpoints (5,-2) and (-4, 6)

Answers

The midpoint is :

(1/2, 2)

solve each proportion .
120/160=15/y
(fractions)
please help me :(

Answers

Answer:

Y = 20

Step-by-step explanation:

120/ 160 = 15 / y

120/15=8

that means there is a 8 to 1 ratio between them. So now do 160/8 = y

y = 20.

prove it by dividing both fractions to create decimal form. They match, so y = 20.

WHATS IS -5x 2/7= I NEED HELP PLEASE

Answers

-5x 2/7 =

−10x/7

srry if it is wrong man but that is what i got

Part C Factor the left side of the inequality by grouping

Answers

Answer:

Step-by-step explanation:

Answer:

Hope this helps :)

Step-by-step explanation:


the highest common factor (HCF) of 144 and 60,

Answers

Answer:

12

Step-by-step explanation:

Answer: 12 is the hcf of 144 and 60

From the figure below if J is the center △ SUZ
Then SJ = .....

help!!!

Answers

Answer:

[tex] SJ = 6 [/tex]

Step-by-step explanation:

Given that J is the center of the ∆SUZ, therefore, J is the centroid of the ∆.

According to the centroid theorem, thus:

Centroid J will divide VS into VJ and SJ into the ratio of 1 : 2.

This means, SJ is twice the length of VJ.

Therefore, given that VJ = 3, thus:

SJ = 2(3) = 6.

SJ = 6 units.

Solve for x: 4X -8 < 2x + 10

Answers

X=2 , x=-5 thats the answers i think maybe

Answer:

x<9

Step-by-step explanation:

4x-8<2x+10 subtract 2x both sides

2x-8<10   add 8 to both sides

2x<18  divide by 2

x<9

I NEED HELP ASAP!!!! PLEASE SOMEONE HELP ME. THIS IS DUE IN LIKE 1 HOUR
The total energy of an object or group of objects due to large-scale motions and interactions..............
A. thermal energy
B. mechanical energy
C. nuclear energy
D. sound energy

Answers

Answer:

B

Step-by-step explanation:

Mechanical Energy is the total energy of an object or group of objects due to large-scale motions and interactions. An example of that is when a basketball player shoots the ball.

B is the correct answer

A line has a slope of 2 and passes through the point (0,0) what is its equation in slope intercept form

Answers

Answer:

y=mx+b is slope-intercept form

where m is the slop, and b is the y intercept

if m is the slop then we can plug that into the equation

y=2x+b

next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.

y=2x+0

eliminate the 0

y=2x is your equation

Step-by-step explanation:

Which expression is undefined?
A. -8 ÷ (-8)
B. -8 ÷ 8
C. 0 ÷ 8
D. 8 ÷ 0

Answers

Answer:

Option D

Step-by-step explanation:

8 ÷ 0 = Undefined

Answer:

D

Step-by-step explanation:

I need help with both of these

Answers

Answer:

14 is B, 15 is C

Step-by-step explanation:

I WILL MARK BRAINLIEST!!! !!


(picture included with 1 question ^^^^^)

Answers

Answer:

A.

Step-by-step explanation:

you can buy a negative amount of packages so that rules out B and D

C is wrong because you know you need to buy at least one package, so h cannot be zero, and all real numbers include zero

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