Mathematics Middle School

Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.

Today the girls went for a 20 miles trip, each girl was biking at her usual speed. How long did Sophie wait for Rana after her own arrival to the finish?

Answers

Answer 1

Answer:

She waited for 20/r-20/s at the end of the line.

Step-by-step explanation:

Answer 2

The solution is, Time Sophie waits for Rana to arrive at finish point

=20/s - 20/r.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

The speed of Sophie and Rana are given as s miles per hour and r miles per hour.

The distance traveled by Sophie and Rand are 20 miles each.

The time taken by Sophie and Rana to travel 20 miles can be calculated by the formula

Speed =distance/time

Or, Time =distance/speed

Time taken by Sophie to travel 20 miles =20/s

Time taken by Rana to travel 20 miles =20/r

Time Sophie waits for Rana to arrive at finish point =20/s - 20/r

To learn more on speed click:

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Related Questions

Ari bought a DVD that originally cost $15 on sale for 20% off. The sales tax is 5%. How much did Ari pay for the DVD, including tax.

Answers

20% off of $15 is 12.00
And 5% of 12.00 is .60
So your answer is $12.60
If this helps mark as brainliest pls

A right circular cylinder has a volume of 1296 cubic inches. If you divide the radius of the cylinder by 12, what would be the volume of the smaller cylinder?

Answers

I think the answer would be 108 because I divided 1296 and 12 and that what I got ....I'm not sure if that what I was supposed to do but I think that's the answer

I'm so sorry if I'm wrong but I hope I helped you

Another way is you could divide 1296 by 2 and divide that answer by 12 I another way to get an answer to the question you're asking

At a concession stand, three hot dogs and two hamburgers cost $7.75;two hot dogs and three hamburgers cost $8.50. Find the cost of one hot dog and the cost of one hamburger

Answers

Hamburger= $0.75
Hot dog= $3.125
A great deal if you ask me
Hope this helped

Pedro was simplifying four over seven divided by five over eight. and his work is shown below. Identify where he made his error. Original problem: four over seven divided by five over eight. Step 1: four over seven multiplied by eight over five . Step 2: four times five over seven times eight. Step 3: twenty over fifty-six. Step 4: five over fourteen.

Answers

Answer: it's the 2nd step

Pedro made an error in step 2, he crossed multiplied instead of multiplying.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Pedro was simplifying four over seven divided by five over eight.

= (4/7)/(5/8)

= (4/7)x(8/5)

= 32/35

In Step 2 Pedro made mistake, he crossed multiplied instead of multiplying the numerators, and then the denominators.

Thus, Pedro made an error in step 2, he crossed multiplied instead of multiplying.

Learn more about the fraction here:

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Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped bin has an edge length of 34 yard. What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.

Answers

Volume: 39,304 cubic yards

To find the volume, you simply have to use the formula that is given. It is V = s^3.  This means you multiply the side by itself 3 times.

S x S x S = V
34 x 34 x 34 = 39304 cubic yards

A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the percent of increase in the price?

Answers

The percent would be about 59 percent. WE JUST STUDIED PERCENTS IN CLASS

Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles.

Answers

Well, an interior angle plus an exterior angle has to equal 180°. Also, the sum of the interior angles is represented by this formula: [-2 + n]180, whereas the sum of the exterior angles all add up to 360°, and is represented by this formula: 360/n [let "n" represent the number of sides in every polygon].

which questions are good examples of a statistical question? check all that apply

a. How many pets do you have

b. do you think a pet is a lot of work?

c. do you like having a pet?

d. how many times a day do you feed your pet?

e. do you feed your pet at night?

Answers

Choices A and D are good statistical questions. The reason is because both of these questions will have numerical answers(different numbers will be the answer) that may vary depending on who you ask. The other 3 questions are all yes/no questions.

Answer:

A and d are pretty good questions

29 plus j is equal to the quotient of 77 and j

Write as an equation

Answers

29 + j = 77/j is the equation.

If 5 lemons are used to make a gallon of lemonade,how many lemons are needed to make 3 gallons

Answers

So do 5x3 which gives you 15 so you need 15 lemons for 3 gallons
Here is a photo of how I got the answer (Red represents my work while highlighter represents what the answer is):

HEEEEEEEEEEEEEEEEELP

Answers

Answer:
y = -5x + 6

Explanation:
The equation of line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope = -5. Therefore, the equation becomes:
y = -5x + c

Now, we need to get the value of c. To do so, we will substitute with the given point (3,-9) in the equation and solve for c as follows:
y = -5x + c
-9 = -5(3) + c
-9 = -15 + c
c = -9 + 15 = 6

Based on the above, equation of line is:
y = -5x + 6

Hope this helps :)

If Mary deposits $275 in principal at an interest rate of 3.2 percent,how much interest will she earn in one year

Answers

0.032*$275 = $8.80 . . . . interest on Mary's account for the year.

Final answer:

Mary would earn $8.80 in interest after one year on her deposit of $275 at an annual interest rate of 3.2%, using the simple interest formula.

Explanation:

To calculate the amount of interest Mary would earn from her deposits of $275 at an annual interest rate of 3.2%, we can use the formula for simple interest, which is:

Interest = Principal × rate × time

In this case, Mary's principal is $275, the rate is 3.2% (or 0.032 when expressed as a decimal), and the time is 1 year. Plugging these values into the formula gives us:

Interest = $275 × 0.032 × 1

Interest = $8.80

Therefore, Mary would earn $8.80 in interest after one year.

PLEASE HELP ME I BEG YOU PLEASE PLEA PLEASE

Solve 2x + y + z = 5
4x – 2y – z = 0
3x – y + 2z = 6
(1, 1, 2)
(-1, -1, -2)
(5, 0, 6)
(1, 1, -2)

Solve 3x + 6y – 6z = 9
2x – 5y + 4z = 6
-x +16y + 14z = -3
(5, 0, 1)
(9, 6, -3)
(0, 3, 0)
(3, 0, 0)

Solve –x + y + 2z = 2
2x – y + z = 5
-4x – y + 3z = 3
(2, 5, 3)
(0, 4, -1)
(1, -1, 2)
(-1, 1, -2)

Solve –x + 3y + z = 9
2x + 5y = 27
3x + y – 2z = -18
(1, 3, -2)
(21, -3, 39)
(1, 2, -4)
(22, -1, 26)

Solve x – 2y – 3z = 3
3x + y + z = 12
3x – 2y – 4z = 15
(0, 0, -1)
(3, 12, 15)
(3, 9, -6)
(-3, -9, 6)

Solve x + 3y + z = 1
2x – y – z = 6
5x + y + z = 1
(1, 6, 1)
(1, 2, -6)
(2, 1, -4)
(-1, -2, 6)

Answers

The first one is the first one
The second one is the fourth one
The third one is the third one
The fourth one is the second one
The fifth one is the third one
The sixth one is the second one

Answer:

The first one is (1, 1, 2)

The second one is (3, 0, 0)

The third one is (1, -1, 2)

The fourth one is (21, -3, 39)

The fifth one is (3, 9, -6)

The sixth one is (1, 2, -6)

The arena intends to give a gift box to each company that hires a stand at the event. Select from the options below the nets which will fold up into a cube.

Answers

! works for certain.
4 should as well.
5 should be OK
3 does not
2 does not

Carl ran 27 miles last week. This is 3 times farther than Anna ran. Which equation can be used to find how many miles Anna ran?

Answers

27×3=81 pope this helps!!!!!!: )
The answer is 27 ÷ 3 = 9

Hope this helps

~Jordan ~

Tennis balls are sold in tubes that hold 3 tennis balls each. A store stacks 2 rows of tennis ball tubes on its shelf. Each row has 7 tubes in it. How many tennis balls are there in all?

Answers

There are 42 tennis balls in all

There are a total of 42 tennis balls on the shelf.

To determine the total number of tennis balls on the shelf, we first need to find out how many tennis ball tubes are there. Each row has 7 tubes and there are 2 rows:

Number of tubes per row = 7

Number of rows = 2

Total number of tubes = 7 tubes/row × 2 rows = 14 tubes

Since each tube contains 3 tennis balls, we multiply the total number of tubes by the number of tennis balls per tube:

Number of tennis balls per tube = 3

Total number of tennis balls = 14 tubes × 3 tennis balls/tube = 42 tennis balls

Therefore, the store has a total of 42 tennis balls on the shelf.

PLEASE HELP WILL GIVE 30 POINTS
Add or subtract. Show your work for each problem
a. (x^2-4x+5)+(7x^2+2x-3) b. (7x^2+4x-6)-(2x^2-3x+1)

Answers

To solve this problem you must apply the proccedure shown below:

a) You must sum terms with same exponents, therefore, you have that the sum of these two polynomials is:

[tex] (x^{2}-4x+5)+(7x^{2}+2x-3) [/tex]

[tex] 8x^{2} -2x+2 [/tex]

b) First, you must mulitply the signs of the second polynomial by the negative sign, and them, you apply an algebraic sum. Therefore, the result is:

[tex] (7x^{2}+4x-6-2x^{2}+3x-1) \\ 5x^{2} +7x-7 [/tex]

The answers are: a)[tex] 8x^{2} -2x+2 [/tex]; b) [tex] 5x^{2} +7x-7 [/tex]

a)

x² - 4x + 5 + 7x² + 2x - 3

8x² - 2x + 2


b)

7x² + 4x - 6 - (2x² - 3x + 1)

7x² + 4x - 6 - 2x² + 3x - 1

5x² + 7x - 7

find f when 27f=81 f=

Answers

Divide both sides by 27
81/27 = 3
So f= 3

Tickets are priced as follows:
Adult Tickets -£12
Child Tickets -£6
Cheryl rings the booking office to buy 6 adult tickets and 3 child tickets
She is told that a 10% booking fee will be added to the ticket price
2% will then be added if she is paying by credit card

Work out the total charge that Cheryl will have to pay if she uses her credit card to pay for the tickets

Answers

Answer:

down there

Step-by-step explanation:

£72 + £18 = £90

90 x 12%= £9 + £1.80

£90 + £10.80 = £100.98

The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? a.Likely b.Certain c.Unlikely d.Impossible

Answers

A is your answer! 7/8 is very likely, but not certain. There is a 12.5 % chance that it can occur. I hope I helped! 

Answer:

A

Step-by-step explanation:

A is the correct answer because, 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.

If the sles tax price je 162 and had a markdown of 1/4 what is the original price

Answers

current sales tax=162
fraction of markdown=1/4
amount markdown=1/4×162=40.5
Original amount=markdown+current amount
=162+40.5
=202.5

Connie is a nurse and works a 12 hour shift if she worked 4 hours what fraction of her shift does she still have to work

Answers

I THINK its 2/3 

{{{{{{SETH}}}}}}
If Connie has a 12 hour shift, and shes already worked 4 hours, that means she has about 8 hours left, or 2/3's or her shift left.

What is the equation in point-slope form of the line passing through (2,2) and (4,8)

Answers

we have that
points A (2,2) and B (4,8)

we know 
the equation in point-slope form of the line is
y-y1=m*(x-x1)

step 1
find the slope m
m=(y2-y1)/(x2-x1)=(8-2)/(4-2)=6/2=3

with the point A (2,2) and m=3
y-2=3*(x-2)------------> this is the equation in point-slope form of the line

What is the product?
6(x – 1)^2
6(x^2 – 1)
(x + 1)(6x – 1)
(x – 1)(6x – 1)

Answers

(x^2 - 1) = (x+1)(x+1)

so
answer is (x + 1)(6x – 1)

if a + 8 = 11 what is the value of 8a

Answers

a + 8 = 11
isolate the a, subtract 8 from both sides
a + 8 (-8) = 11 (-8)
subtract
a = 11 - 8
answer for "a"
a = 3

8a
plug in 3 for a, and multiply
8(3) = 24

24 is your answer

hope this helps

Is this right. If so what’s the correct answer

Answers

FLVS huh? I think your answer would be 225.

Brainliest please?

The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.

The area of this triangle, A, is equal to the perimeter of this triangle.

Create a system of equations to model this situation. Determine if there are any solutions, and, if possible, whether or not they are viable.

How many total possible solutions are there to this system?

Of any possible solutions, how many are viable solutions for this situation?

Answers

The equation to represent the area of the triangle would be:
y = 1/2(x²) - (7/2)x

The equation to represent the perimeter of the triangle would be:
y = 3x - 6

The solutions to the system would be (12, 30) or (1, -3).  The only viable solution is (12, 30).

Explanation
The area of a triangle is found using the formula
A = 1/2bh

For our triangle, b = x and h = x-7, so we have:
A = 1/2(x)(x-7)
A = 1/2(x²-7x)
A = 1/2(x²) - (7/2)x

We will replace A with y, so we have:
y = 1/2(x²) - (7/2)x

The perimeter of a triangle is found by adding together all sides, so we have:
P = (x-7) + x + (x+1)

Combining like terms we get:
P = 3x - 6

We will replace P with y, so we have:
y = 3x - 6

Since both equations have y isolated on one side, it will be easy to use substitution to solve the system:

3x - 6 = 1/2(x²) - (7/2)x

It's easier to work with whole numbers, so we will multiply everything by 2:
6x - 12 = x² - 7x

We want all of the variables on one side, so we will subtract 6x:
6x - 12 - 6x = x² - 7x - 6x
-12 = x² - 13x

When solving quadratics, we want the equation equal to 0, so we will add 12:
-12+12 = x² - 13x + 12
0 = x² - 13x + 12

This is easy to factor, as there are factors of 12 that sum to -13; -12(-1) = 12 and -12+-1 = -13:
0 = (x-12)(x-1)

Using the zero product property, we know that either x-12=0 or x-1=0; therefore x=12 or x=1.

Putting these back into our equation for perimeter (the simplest one) we have:
y = 3(12)-6 = 36-6 = 30; (12, 30);
y = 3(1) - 6 = 3 - 6 = -3; (1, -3)

We cannot have a negative perimeter, so the only viable solution is (12, 30).

Answer:

two possible and one viable

Step-by-step explanation:

hope this helps!

45 brainliest pts.


Plz answer...

Answers

I believe this is the answer

Answer:

3360

Step-by-step explanation:

45 plus 50 plus 55 plus 60 equals 3360 !

how many square feet of outdoor carpet will we need for this hole

Answers

Answer: 36 sq


Step-by-step explanation: you add 24 to 12 and get 36



Answer:

[tex]36\text{ inch}^2[/tex]

Step-by-step explanation:

We have been given an image of outdoor carpet needed for a hole. We are asked to find the area of outdoor carpet needed for this hole.

We can see that there are two pieces needed to cover the given hole.

One pieces equal 24 square inches and another pieces equal 12 square inches.

[tex]\text{Area of carpet needed to cover the hole}=24\text{ inch}^2+12\text{ inch}^2[/tex]

[tex]\text{Area of carpet needed to cover the hole}=36\text{ inch}^2[/tex]

Therefore, [tex]36\text{ inch}^2[/tex] of carpet is needed to cover the given hole.

How many times can 3 go into 9

Answers

Hi there!
The answer is 3, because 3 can go 3 times into 9. 

Explanation:
Have a look at the following three balls (or circles, whatever you can see in it).
ООО 

Now have a look at the following nine balls:
ООО ООО ООО 

As you can see, the three balls which you've seen first, fit three times into the row of nine balls. Therefore, the answer is 3.
The answer is 3 all you have to do is count by 3’s until you get to 9
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