Suppose you run 2 miles from your house to a friends house at a speed of 7 mi/hr. When the time comes to return home, you are tired and walk the same 2 miles at 3 mi/hr. How long did you spend running to your friends house? How long did you spend walking home?

Answers

Answer 1

Answer:

[tex]Time = 17.143\ mins[/tex] -- When going

[tex]Time = 40\ mins[/tex] -- When coming back

Step-by-step explanation:

Given

[tex]Speed\ to = 7mi/hr[/tex]

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Distance = 2\ mi[/tex]

Required

Determine time taken to your friend's house

Determine time taken from your friend's house

Distance is calculated as:

[tex]Time = \frac{Distance}{Speed}[/tex]

From the question, we understand that:

[tex]Distance = 2\ mi[/tex]

When going:

[tex]Speed\ to = 7mi/hr[/tex]

So, we have:

[tex]Time = \frac{2mi}{7mi/hr}[/tex]

[tex]Time = \frac{2}{7}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{7} * 60[/tex]

[tex]Time = \frac{120}{7}[/tex]

[tex]Time = 17.143\ mins[/tex]

When coming back:

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Time = \frac{2mi}{3mi/hr}[/tex]

[tex]Time = \frac{2}{3}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{3} * 60[/tex]

[tex]Time = \frac{120}{3}[/tex]

[tex]Time = 40\ mins[/tex]


Related Questions

PLEASE HELP!!!OR I WILL GET SIELNT LUNCH.7th GRADE LEVEL HOMEWORK
1 QUESTION.

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The answer to this problem is A

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what is the exponent on 10 when you write 41200 in scientific notation

Answers

Answer:

41200 in scientific notation = 4,1 . 10⁴

Answer:

The exponent is 4

[tex]4.12[/tex] × [tex]10^{4}[/tex]

Step-by-step explanation:

Hope this helps

A boat has a speed of 18 km/hr in still water. In a particular river, it takes 2 hours more to go 32 km upstream than to return to the same spot. What is the speed at which the water is flowing in the river?

Answers

Step-by-step explanation:

I wrote the answer on the paper

Pls answer i will mark u brainlist

Answers

I would appreciate the brainlist. I don’t know how to answer, but you can find it on khan academy

Harold bought an antique clock for £1200 The clock increased in value by 8% per year. Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £. £.........​

Answers

Answer:

1200times 3 =4800 thanks for asking

Karen made 17-3 quarts of punch for her son and 11
her daughter. How many quarts of punch did she make in total?
115
quarts for

Answers

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

It asks how much did she make in total, so you would need to add the 2 together to get the total. Hope this helps!!

Can someone help me with 9a+3a+b-3a for homework?

Answers

Answer:

9a+b

Step-by-step explanation:

The circle graph shows the results of a survey by a bakery on which of their new products 69 customers preferred most. How many customers preferred bread? Round your answer to the nearest whole number.

Answers

The circle graph is used to show the preference of each customer

32 customers preferred bread

How to determine the number of customers?

From the question, we have:

Bread = 47%

Total customers = 69

So, the number of customers that preferred bread is:

Bread = 47% * 69

Evaluate the product

Bread = 32.43

Approximate

Bread = 32

Hence, 32 customers preferred bread

Read more about circle graphs at:

https://brainly.com/question/24461724

write an equation of the line with the given conditions (2,1); slope 0

Answers

Answer:

point slope form: y-1=0(x-2) or Slope-Intercept form: y=x-1

Step-by-step explanation:

Sal was asked by his teacher to
compare the numbers 153.098 and
153.408. Which is the correct way to
compare these two numbers?
A. 153.098 > 153.408
B. 153.098 = 153.408
C. 153.408 < 153.098
D. 153.408 > 153.098

Answers

Answer:

153.098

153.408

When we look at these numbers, we want to see which one has the greatest digit.

Shown below, I'm going to compare both numbers and start from the hundreds place and gradually go further into the other digits until we've seen which number is the greatest.

153.098:

1

153.408:

1

153.098:

15

153.408:

15

153.098:

153

153.408

153

153.098:

153.0

153.408

153.4

Now, we can automatically know that 153.408 is the greatest because the 4 in the tenths place is bigger than 0 in the tenths place in the other number.

So 153.408 > 153.098, D is your answer.

Write an expression for the premeter of the triangle below.

Answers

P = sum of the sides

P = 1,8k - 5 + (3,5 + 6,1k) + (k + 1,5)

  = 1,8k + 6,1k + k - 5 + 3,5 + 1,5

  =        8,9k        

If the diagonals in a rhombus are 8 and 6 then the perimeter is
a) 16
b) 18
c) 20
d) 22

Answers

Answer:

20 (units)

Step-by-step explanation:

If the diagonals in a rhombus are 8 and 6 then the perimeter is

a) 16

b) 18

c) 20

d) 22

the regular rhombus is formed by 4 right triangles, 1/2 of the diagonal is the cathetus.

8 : 2 = 4

6 : 2 = 3

find with Pythagoras the side of the rhombus

s = √(4² + 3²)

s = √(16 + 9)

s = √25

s = 5

now we find the perimeter by adding the 4 sides

5 + 5 + 5 + 5 = 20

please solve any four questions of these 10 questions​

Answers

Answer:

Step-by-step explanation:

If 9x + 80= 890 then what is x?

I'm taking a test tomorrow but I'm bad at this stuff. Please help me!

Answers

Answer:

x = 90

Step-by-step explanation:

9x + 80 = 890 ( subtract 80 from both sides )

9x = 810 ( divide both sides by 9 )

x = 90

Hannah's bill at the restaurant $37.26 she left a tip of 18% what was the tip amount please round your answer to the nearest hundredth.

Answers

Answer:

6.71

Step-by-step explanation:

It would be 37.26*18/100.

so, around 6.71

part b would be 37.26+6.71=$43.97

Answer:6.71

Explanation: 18% is the same thing as 0.18 and so when you multiply 0.18 by 37.26 you get 6.7068 which rounds to the nearest hundredth is 6.71 because 6 is greater than 5

Given that y = 7 cm and I = 37°, work out I rounded to 1 DP.
у
x
09
The diagram is not drawn accurately.


Answers

Step-by-step explanation:

simply use trigonometric formula

sin (x)= perpendicular/ hypotenuse

Ollie has installed security lights on the side of his house that are activated by a sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m and the distance from B to C is 6 m. Angle AĈB is 15°.

Answers

Answer:

20.19°

Step-by-step explanation:

Find the diagram to the question attached. We are to look for <CAB

Applying sine rule on ΔABC:

[tex]\frac{4.5}{sin15^0} = \frac{6}{sin<CAB}[/tex]

cross multiply

[tex]4.5 * sin<CAB =6 sin15^0\\\\sin<CAB = \frac{6sin15^0}{4.5}\\ \\sin<CAB = \frac{6*0.2588}{4.5}\\ \\sin<CAB = \frac{1.5529}{4.5}\\\\sin<CAB = 0.3451\\\\<CAB = sin^{-1}0.3451\\[/tex]

[tex]<CAB = 20.19^0\\[/tex]

Hence the angle <CAB is 20.19°

The angle ∠CAB is 20.19° and the distance (d) Ollie is from the entrance to his house when he first activates the sensor is 5.77 m.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Ollie has installed security lights on the side of his house that is activated by a sensor.

The sensor is located at point C directly above point D.

The area covered by the sensor is shown by the shaded region enclosed by triangle ABC.

The distance from A to B is 4.5 m and the distance from B to C is 6 m.

The angle ACB is 15°.

The ∠CAB is ∠A.

We know that the sine rule

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} = \dfrac{c}{\sin C}[/tex]

We have

[tex]\dfrac{AB}{\sin C} \ \ = \dfrac{BC}{\sin A} = \dfrac{AC}{\sin B}\\\\\\\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} = \dfrac{b}{\sin B}[/tex]

From the first two, we have

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} \\\\\sin A = \dfrac{6}{4.5} \times \sin 15^o\\\\A \ \ \ \ = 20.19^o[/tex]

We know that the sum of the angle is 180 degrees. Then we have

    ∠A + ∠B + ∠C = 180°

20.19° + ∠B + 15° = 180°

                      ∠B = 144.81°

Then the value of b will be

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{b}{\sin 144.81^o}\\\\\\b \ \ \ = 10.02[/tex]

Then the distance (d) Ollie is from the entrance to his house when he first activates the sensor will be

d = b × sin 144.81°

d = 10.02 × sin 144.81°

d = 5.77 m

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Determine which of the following are the solutions to the equation below.
x2 = 13

Answers

Answer:

I think its A

Step-by-step explanation:

x=√13 I think it is that one makes sense

Answer:

A.)

Step-by-step explanation:

First you need to take the square root from both sides to isolate x. Since you cannot find an exact decimal answer for the square root of 13 you leave it as + or - [tex]\sqrt{13\\}[/tex].

What is the ratio of 0.09 to 2.7?

Answers

Answer:

Look at the relationship.

2.7 is 30 times larger than 0.09 (2.7 / 0.09 = 30)

So the ratio is 0.09:2.7 = 1 :30

Does dilations increase the length of line segment is true or false ?

Answers

Answer:

false

Step-by-step explanation:

Dilations increase the measure of angles. Dilations of a triangle are similar to the original triangle.

WILL MARK BRAINLIEST FOR THE FIRST ANSWER! And I really need this answer quickly!!



Classify

Answers

Because {{{no}}} sides are marked as {{{congruent}}} in this figure, the classification {{{by}}}{{{ sides}}} is {{{scalene}}}.

help?? and what do I shade lol​

Answers

Answer:

3657$

Step-by-step explanation:

You're supposed to enter numbers there I believe, in which case if 23 people payed 159 dollars for a ticket each that would be an equation that looks something like 159*23 which would bring you to the answer of 3657. maybe just put 0s in the first 2 boxes to fill it out.

Marina babysits her neighbors' kids once a week and earns $40 each night. She loves coffee so she treats herself three times a week by buying a $5 latte at her favorite coffee shop. Marina wants to buy a new laptop for herself which will cost $800 and has already saved $200. If she continues her spending habits, how many months will it take Marina to save enough money to buy the laptop?

Answers

Answer:

24weeks

Step-by-step explanation:

So if she spends 5$ three times a week she spends 15$ a week

She babysits once a week for 40$

That means that she saves 25$ from babystitting each week

As she already has saved 200$, she only lacks 600$ for the purchase

600$ / (25$/week) = 24 weeks

If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop

Two squares have sides of 3 & 6. what is the ratio of their perimeter

Answers

Answer:

Step-by-step explanation:

Square with side (s) = 3

P = 4s        

s = 3

P = 4*3

P = 12

Square with side (s) = 6

P = 4s

s = 6

P = 4 * 6

P = 24

Answer

It is asking for the ratio of P(with side = 3)/ to P(with side = 6)

P(3) /P(6) = 12/24 = 1/2s(3) / s(6) = 3/6 = 1/2

So the perimeter ratio is 1/2

The side ratio is 1/2

They are the same.

a pharmacist found at the end of the day she had 7/4 as many prescriptions for antibiotics as tranquilizers. she had 77 prescriptions altogether. how many did she have for tranquilizers?

Answers

Answer:

44 tranquilizers

Step-by-step explanation:

The reciprocal of 7/4 is 4/7 so if you multiply 77 by 4/7 you will get 44.

After speaking with a Fisker representative, Eddie asks about a leasing option. He is offered a three year lease with payments of $415 plus $2000 payment at the beginning of the lease. What is the total cost of the lease?

Answers

Answer:

$3,245

Step-by-step explanation:

Assuming that the $415 is paid yearly, Eddie has to pay a total of $3,245.

2,000 + (415 x 3)

2,000 + 1,245

2,000 + 1,245 = 3,245

4. Is the following triangle truly a right triangle? (HINT: Does a^2 + b^2 = c^2?
25 points

TRUE, the Pythagorean Theorem is satisfied
FALSE, the Pythagorean Theorem is not satisfied

Answers

Answer:

not a right triangle in maths

Step-by-step explanation:

FALSE, the Pythagorean Theorem is not satisfied

but true in real life, i mean the shape

BRAINLIEST FOR CORRECT ANSWER!

Which statement below best describes the graph shown.
A) the amount of money a car salesman makes weekly
B) the distance you ride your bike if you ride at a speed of 5 mph
C) the height of a tennis ball thrown in the air
D) the height of a sunflower that grows 0.5cm per week

Answers

Answer:

A

Step-by-step explanation:

the chart shows a line that going up vastly by large margins.

what is the property for this one?

Answers

For reason 3, look at how we got from step 2 to step 3.

In this case, we combined like terms or simplifies the left side.

So the reason for statement 3 is simplifying.

For statement 4, we look at how we got from step 3 to step 4.

Notice that we subtracted the same quantity, -12x, from both sides of the

equation and this is the subtraction property of equality.

For statement 5, we look at how we got from step 4 to step 5.

Here, we added the same quantity to both sides

and this is called the addition property of equality.

Finally, we use the division property of equality,

to get the final solution to the equation, x = 2/3.

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