Summer and Autumn are friends who live 25 miles apart and they are training for a long race. On wednesday after school, they ran toward each other’s houses to meet up. They left their houses at 4pm and met at 6 pm. Summer ran an average rate of 8 1/2 miles per hour

Answers

Answer 1

Complete question is;

Summer and Autumn are friends who live 25 miles apart and they are training for a long race. On wednesday after school, they ran toward each other’s houses to meet up. They left their houses at 4pm and met at 6 pm. Summer ran an average rate of 8 ½ miles per hour faster than autumn. What is the average speed of each?

Answer:

Autumn's average speed is 1.3158 mph

Summer's average speed is 11.1843 mph

Step-by-step explanation:

We are told that they live 25 miles from each other.

They left their houses at 4pm and met at 6 pm. This means they met 2 hours later.

Now, summer ran 8.5 mph faster than autumn.

This means if autumn's speed is "x", then summer ran 8.5x mph

Thus, total distance covered by summer is; d_summer = 8.5x * 2 = 17x

Total distance by autumn is; x * 2 = 2x

Since their houses are 25 miles apart.

Thus;

17x + 2x = 25

19x = 25

x = 25/19

x = 1.3158 mph

Thus, autumn's speed is 1.3158 mph

Summer's speed is 1.3158 × 8.5 = 11.1843 mph


Related Questions

Find the polynomial degree:
6x^7+3x^4+2x^3+8x +12
A) 7 B) 8 C) 4
D) 3

Answers

Answer:

A

Step-by-step explanation:

PLS GIVE ME BRAINIST

What angle in the second trapezoid corresponds to ∠B?

ABCD≅RSTU

Answers

Answer:

<B = <S

Step-by-step explanation:

ABCD≅RSTU

This means <A = <R

<B = <S

<C = <T

< D = <U

Answer:

s

Step-by-step explanation:

Write the slope of a line that is parallel to the following line:
y =1/3x *+1

Answers

Answer: -3

y = -3x+1 has a slope of -3. Since parallel lines have equal slopes, the new line will also have a slope of -3

Step-by-step explanation:

Answer:

Slope = 1/3

Step-by-step explanation:

[tex]y =1/3x +1\\\\y=\frac{1}{3} x+1[/tex]

The equation is arranged in slope-intercept form :

[tex]y=mx+b[/tex]

Where m = slope

[tex]Slope = m = \frac{1}{3}[/tex]

3/10 into a demcimal​

Answers

Answer:

0.3 / 0.30

Step-by-step explanation:

3/10 or make it (30)/100. The decimal OR the percentage would be     Decimal: 0.3  and Percentage: 30%

Answer:

0.3

Step-by-step explanation:

Russell conducted an experiment where he collected snow in a container, measured it, and then measured the amount of water in the container after the snow had melted. He created the graph below to display his findings.


Based on the graph, what does the point (0, 0) represent?
A.
The collection of 0 inches of snow results in no water.
B.
The collection of 0 inches of water results in no snow.
C.
The amount of snow was not proportional to the amount of water.
D.
The rate of inches of rain to inches of snow was 0.1125.

Answers

Answer:

the answer is A.

Step-by-step explanation:

Study Island.

A. The collection of 0 inches of snow results in nо water.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, Russell conducted an experiment where he collected snow in a container, measured it, and then measured the amount of water in the container after the snow had melted.

D is wrong and C is wrong Because they're asking us what does the point (0,0) represents.

Obvious X is the independent variable So 0 inches of snow in no water So we should choose Option A.

Therefore, we can say that the graph represents that The collection of 0 inches of snow results in no water.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ2

Complete question:

4b2c3 + 5b3c2-3bc2
simplify the expression

Answers

Don't take my word for it but i'm pretty sure the answer is

9/x+5 - 8/x-2

Solve the equation -7 + 5x = 5x + 9

Answers

Answer: no solution

Step-by-step explanation:

Cancel 5x on both sides.

-7 = 9

Since -7 = 9 is false, there is no solution

The 14 students in the Spanish club need to raise $562.84 for their summer trip to Spain. They have already raised $238.32. If each student raises the same amount, how much more money must each student raise?

Answers

first you should subtract 238.84 from the total amount and then divide by 14

Answer:

$23.18

Step-by-step explanation:

You have to subtract $562.84 and $238.32 and you get $324.52 then you have to divide $324.52 and 14 to get $23.18

Hope this helps please mark me brainliest☺️

If m\displaystyle \angle∠F = (6x + 7) and m\displaystyle \angle∠H = (9x - 14), then solve for m\displaystyle \angle∠F if the two angles are Alternate Interior Angles.

Answers

Answer:

m<F = [tex]49^{o}[/tex]

Step-by-step explanation:

Alternate interior angles have equal values. So that;

m<F = m<H

Given that: m<F = (6x + 7) and m<H = (9x - 14).

Then,

(6x + 7) = (9x - 14)

6x + 7 = 9x - 14

collecting like terms, we have

6x - 9x = -7 - 14

-3x = -21

3x = 21

Divide both sides by 3, to have;

x = [tex]\frac{21}{3}[/tex]

 = 7

therefore,

m<F = (6x + 7)

       = 6 x 7 + 7

       = 42 + 7

       = [tex]49^{o}[/tex]

m<H = (9x - 14)

        = 9 x 7 - 14

        = 63 - 14

        = [tex]49^{o}[/tex]

Below are two parallel lines with a third line intersecting them

X = ?

Answers

Answer:

The answer is 132° ( corresponding angles)

132 degrees Is the answer.
Hope this helps!!

Angie works 5 days a week she gets payed $15 per hour she works for 8 hours everyday how much money did she get by the end of the week

Answers

Answer:

$600

Step-by-step explanation:

15 x 8 x 5

Make up a story about 10things is your house

Answers

Answer:

1. I hate using my phone

2. I dont have a gaming console

3. My table is from IKEA

4. My house is made out of gold and platinum

5. I only drink FIJI water

6. I hate apple

7. I stubbed my toes on a ballon

8. I can flip a chair in 3 seconds

9. I can solve a rubik's cube

10. I can play a guitar

Step-by-step explanation:

Morgan won 7 blue ribbons and 4 red ribbons at her horse shows. What is the ratio of red ribbons to blue ribbons she won?

a. 4/11
b. 4/7
c. 7/11
d. 7/4

Answers

Answer:

b 4 red ribbons/7 blue ribbons

The required ratio of red ribbons to blue ribbons is 4/7 which is the correct answer would be an option (A).

What is the Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that Morgan won 7 blue ribbons and 4 red ribbons at her horse shows.

We have to determine the ratio of red ribbons to blue ribbons she won

The ratio of red ribbons to blue ribbons is equal to the number of blue ribbons divided by the number of red ribbons.

The ratio of red ribbons to blue ribbons = the number of red ribbons /the number of blue ribbons.

The ratio of red ribbons to blue ribbons = 4 / 7

Thus, the required ratio of red ribbons to blue ribbons is 4/7.

Learn more about the Ratios here:

brainly.com/question/1504221

#SPJ2

A line's slope is 8, and its y-intercept is 7. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y=8x+7

Step-by-step explanation:

Answer:

y=8x+7

Step-by-step explanation:

Slope-Intercept form is y=mx+b

m is the slope and b is the y-intercept so you replace m with 8 and replace b with 7 which will look like this:

y=8x+7

Hope this helps!

(-21) + (-9) =

A 30

B 33

C -30

Answers

Answer:

-30

Step-by-step explanation:

Note the rules of signs. If one negative sign is directly next to a positive sign, it becomes a negative.

Subtract:

(-21) + (-9) = -21 - 9 = -30

C) -30 is your answer.

~

Anitra got a student loan to pay for her college expenses this year. Find the interest on the loan if
she borrowed $2,000 at 8% for 1 year.

Answers

Answer:

I think it might be A

Step-by-step explanation:

b. Four people want a phone line, four people want unlimited texting, and all four people want internet lines,
Company A
Company B
Company
124
Which cell phone company should John's family use? Why?

Answers

Answer:

wheres the rest of the question there is nothing explaining what the companies are selling

Step-by-step explanation:

Rest of the questions

Help me please please!!!!

Answers

Answer:

The sweater is $50

Step-by-step explanation:

1/2j + 10 = 60

1/2j = 50

j= 100

Answer:

$50

Step-by-step explanation:

$60-$10= $50

So the answer is $50 ! <3

Item 20 Question 1 Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle. The measure of one angle is 3° more than 12 the measure of its supplement. x+(12x+3)=180 x+(12x+3)=90 x+(12x−3)=180 x+(12x−3)=90 Question 2 The measure of the smaller angle is º. The measure of the larger angle is º. Item 20 Question 1 Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle. The measure of one angle is 3° more than 12 the measure of its supplement. x+(12x+3)=180 x+(12x+3)=90 x+(12x−3)=180 x+(12x−3)=90 Question 2 The measure of the smaller angle is º. The measure of the larger angle is º.

Answers

this is not the write answer im just it bec whevener but i think it is 13=845-684x3 i think it is the answer

Step-by-step explanation:

Write the equation of the line through (8,-1) and parallel to x = 4y.

Answers

Answer:

y=-4x+33

Step-by-step explanation:

(Check equation using calculator)

Triangle ABC with coordinates A(1,2), B(4,6), C(-1, 3) is transformed to create triangle A'B'C' with the transformation
indicated: Reflection: about the y-axis (the vertical axis).
Provide the image coordinates after the triangle is transformed, ie. A'B'C'
Be mindful of negatives in the answers)!!!
Oa
b
(1,-2), (4,-6), (-1,-3)
(-1,-2), (-4,-6), (1,-3)
(-1,2), (-4,6), (1,3)
(2,1),(6,4), (3,-1)
с

Answers

Answer:

C.

Step-by-step explanation:

(-1,2), (-4,6), (1,3)

can i get brainliest please?

Angela used 25 cups of flour to make 5 batches of lemon cookies. She used 12 cups of flour to make 3 batches of vanilla cookies. Which type of cookie uses more flour?

Answers

Answer:

the lemon cookies they use more

Step-by-step explanation:

The function $y=2x+8$y=2x+8​ represents the cost $y$y​ (in dollars) of a large pizza with $x$x​ toppings, where $x$x​ is equal to 0, 1, 2, or 3. Identify the independent and dependent variables, the domain, and the range.

Answers

Step-by-step explanation:

The function that represents the cost of pizza with toppings as follows :

y = 2x+8 ...(1)

Where x = 0,1,2 and 3

Here, y depends on x it means y depends on x. y is a dependent variable and x is independent variable.

Domain is the set of input values and range is the output values.

Domain = 0,1,2 and 3

Now, put x = 0 in function (1)

y = 2(0)+8 = 8

Put x = 1 in function (1)

y = 2(1)+8 = 10

Put x = 2 in function (1)

y = 2(2)+8 = 12

Put x = 3 in function (1)

y = 2(3)+8 = 14

So, the range of the function is 8,10,12,14.

May you help me?

Also don't forget to explain!

Answers

Answer: 30 kids.

Step-by-step explanation:

Since Mrs. Cunningham's ratio from boys to girls is 2:3 ( with girls being 3) you just need to multiply 6 to 3 to get 18. But you also need to multiply 6 and 2 then add both numbers together, which gets you to 12.

Answer:

30

Step-by-step explanation:

because if ratio 3 is girls and there are 18 of them if you divide that by 3 you get 6 than multiply 6 time the ratio of boys 2 to get 12  then add 18+12

The highest point on Earth is Mount Everest with a height of 8,848 meters. The lowest point on Earth is the Mariana Trench, with a height of -11,034 meters. A height of 0 corresponds to sea level (the height of the world’s oceans). What is the vertical distance between Mount Everest and Mariana Trench? Write the expression then solve it.

Answers

Answer:

19,882 meters

Step-by-step explanation:

8,848 - -11,034 = 19,882

On average it takes 20 gallons of gas for a school but to travel 298 miles create an equation that describes the distance traveled, d, in relation to the number of gallons used, g.

Answers

Answer:

d = 14.9(g)

Step-by-step explanation:

Given:

Amount of gas used = 20 gallons

Distance traveled = 298 miles

Find:

Equation

Computation:

Distance travel in 1 gallon = 288 / 20

Distance travel in 1 gallon = 14.9 miles

Distance traveled = 14.9(Amount of gas used)

d = 14.9(g)

Please help thank you very much I think it is simple just I don’t know how to do it so if you answer this thank you.

Answers

Answer:

y = .80x + 3 is the slope - intercept form.

80 cents, the fare, is determined by the number of times it's paid. 3 dollars is paid whether or not 80 cents is paid a number of times or at all.

Please mark me Brainliest, I need it to move onto the next level.

Calculate the area of the circle to the nearest hundredth of a square unit. Approximate as 3.14.





124.63 cm 2
124.6 cm 2
39.56 cm 2
19.78 cm 2

Answers

Answer:

The answer would be A

Step-by-step explanation:

If m varies directly with n and m=12 when n=3 what is the value of m when n=4?

Answers

Step-by-step explanation:

Itni show data tatoo ko max plus one common 9 - 245

me ayudan es de moninomios​

Answers

Answer:

Step-by-step explanation:

2.2)  - yx²  ,  4x²y   ;   yx² ;  5x²y

2.3)   3x²y    -----> 2yx²

        -2y²x   ------> -3xy²

      4x³y      ------->  5yx³

        7x²y² --------> 5y²x²

       5y³x    -------> 3xy³

Other Questions
Is 0.135 a rational number What was the purpose of American colonial authors? 9. How does the architecture of a building affect the sound? Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places. solve this for a brainiest To help herself feel better, Kara visits the local fast food restaurant after having a fight with her mother. She orders 3 burgers, a large order of fries, 2 apple pies a chocolate shake and a large Coke. Which eating disorder could Kara be suffering from?anorexia nervosabulimiabinge eatingstarvation Which ordered pair is a solution of the equation? 7x-2y= -5 According to the text, why is Temple Mount important to Muslims? Check all that apply. It is the site where Prophet Mohammad received his winged horse, Buraq. It is the holiest place in Islam. It is the location where Prophet Mohammad began his ascent to heaven. It is one of the oldest surviving Muslim monuments in the world. Consider a 16 GByte memory (16G locations each holding one byte). What is the number of address lines (N)? During a lab investigation a scientist heats a solid substance. The scientist observes that the solid has two different melting points. The scientist is able to separate the two resulting liquids. Which statement best classifies the original solid substance Using complete sentences, explain what occurs when jobs are outsourced. Discuss two benefits and two drawbacks a country may experience when companies outsource their work. What were the effects of the discovery of gold near Dahlonega the price of a Math book after discount of 25% is $36. What is the original price of the Math book? ak = wv, for a pls answer! Identify the independent and dependent variables. Then write a rule in function notation for the situation, letting x represent the independent variable.A concert ticket costs $60. 2. Which is the first term of the sequence 1/3, 1/9,... 1/3n that is less than 10-6? why does tecumseh claim that the king of england is the indian ally and what does this suggest about his attitude toward white people Use the slope formula to find the slope between the given two points?(2, 1) and (8,9) what is the protagonist in a wrinkle in time An advertisement announces that the price of wine will drastically increase next month. Therefore, this month we would expect a. the price to decrease and the quantity of wine sold to increase. b. both the price and quantity of wine sold to increase. c. the price to increase and the quantity of wine sold to decrease. d. both the price and quantity of wine sold to decrease