Marina can bicycle 19. 5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run?.

Answers

Answer 1

Speed is the rate at which a body changes its position. The speed by which Marina runs is 4 miles/ hr.

What is Speed?

Speed is the rate at which a body changes its position. It is given by the formula,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

Marina can bicycle 19. 5 miles at the same time it takes her to run 6 miles.

Marina bikes 9 miles per hour faster than she runs.

Let the speed of the Marina running be s, and the time is taken to run 6 miles be t.

Time is taken by Marina to cover a distance of 6 miles by running,

[tex]\rm t = \dfrac{6\ miles}{s}[/tex]

Since the speed of Marina's bicycle is 9 miles per hour faster than she runs. Time is taken by Marina to cover a distance of 19. 5 miles by bicycle,

[tex]\rm t = \dfrac{19.5\ miles}{s+9}[/tex]

We know that Marina can bicycle 19. 5 miles at the same time it takes her to run 6 miles. therefore,

[tex]\rm t = \dfrac{6\ miles}{s}= \dfrac{19.5\ miles}{s+9}[/tex]

[tex]\dfrac{6}{s}= \dfrac{19.5}{s+9}[/tex]

Solving the given equation we will get,

[tex]\rm s = 4\ miles/hr[/tex]

Hence, the speed by which Marina runs is 4 miles/ hr.

Learn more about Speed:

https://brainly.com/question/15100898


Related Questions

If f(x)= x^2-25 and g(x)=x-5, what is the domain of (f/g)(x)?

Answers

Answer:

B) all real values of x except x=5

Step-by-step explanation:

If [tex]f(x)=x^2-25[/tex] and [tex]g(x)=x-5[/tex], then [tex]\bigr(\frac{f}{g}\bigr)(x)=\frac{f(x)}{g(x)}=\frac{x^2-25}{x-5}=\frac{(x-5)(x+5)}{(x-5)}[/tex].

Given that [tex]x-5[/tex] exists in both the numerator and denominator, this creates a hole on the graph of the function where [tex]x=5[/tex] since [tex]5-5=0[/tex]all real values of x except x=5 is correct.

Review the attached graph for more information

What is the surface area of this triangular prism rounded to the nearest tenth?

Answers

The surface area of the triangular prism, rounded to the nearest tenth is: 85.7 cm²

What is the Surface Area of a Triangular Prism?

Surface area (SA) = bh + (s1 + s2 + s3)H

Given:

s1 = 6.8 cm

s2 = 5.1 cm

s3 = 8.5 cm

H = 2.5 cm

b = 6.8 cm

h = 5.1 cm

Plug in the values

Surface area of the triangular prism = 6.8 × 5.1 + (6.8 + 5.1 + 8.5)2.5

Surface area of the triangular prism = 85.7 cm²

Learn more about the surface area of a triangular prism on:

https://brainly.com/question/16147227

The cost of 3 scarves is $80.25. What is the unit price?

Answers

Answer:

$26.75 per scarf

Step-by-step explanation:

3 scarves = $80.25 (quite expensive)

1 scarf = $80.25/3

1 scarf = $26.75

Answer:

$8.75 because 26.25 divided by 3 equals 8.75.

Step-by-step explanation:

Math asap!! Will give brainliest

Answers

Step-by-step explanation:

line QS = RS

line KJ = half of line KC

Two fair 6 sided number cubes are rolled. What is the probability of rolling a sum of 11?

Question 3 options:

1/6

1/36

1/18

11/36

Answers

Draw a sample space diagram showing the sum of rolling two dice. It should be 6 rows by 6 columns therefore there are 36 different outcomes possible.
There are two ways to make a sum of 11: 5,6 or 6,5. This means that the probability is 2/36 which equals 1/18.

How do I do this? Please help!

Answers

I already answered this question, if you look back in your questions you should find this answered along with another one. I'll do it again just in case you don't find it.

Answer:

{y,x} = {-4,-2}

Expanation:

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 2x

// Plug this in for variable  y  in equation [2]

  [2]    -2•(2x) - 8x = 24

  [2]     - 12x = 24

// Solve equation [2] for the variable  x

  [2]    12x = - 24

  [2]    x = - 2

// By now we know this much :

   y = 2x

   x = -2

// Use the  x  value to solve for  y

   y = 2(-2) = -4

Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and cows he saw. Let
X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?

Answers

Answers:

Total equation:  x+y = 80Legs equation:  2x+4y = 248How many ducks? 36How many cows? 44

====================================================

Further explanation:

x = number of ducksy = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

2x = number of legs from all the ducks only4y = number of legs from all the cows only2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

please can someone explain to me how this is done the answer is 85 but how to figure it out I am giving away 10 points the question is one the image and the answer is 85 but just explain how it is done

Answers

Answer:

Step-by-step explanation:

A = [tex]\frac{hb}{2}[/tex]

h = 10 cm , b = 17 cm

A = 10 × 17 ÷ 2 = 85 cm²


9. Which set of ratios below is NOT equivalent
to 3:4?
the
bu
A. 6 to 9,
q
12
B.) 9 to 12, 20
15

Answers

Answer:

A

Step-by-step explanation: {reduction}

{[tex]\frac{2X3}{3X3}=\frac{2}{3}[/tex]} {[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}

A. 6 to 9 7'5 [tex]\frac{6}{9}=\frac{2}{3} , \frac{9}{12}=\frac{3}{4}[/tex]

{[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}

B. 9 to 12 7'5 [tex]\frac{9}{12}=\frac{3}{4} , \frac{15}{20}=\frac{3X5}{4X5}=\frac{3}{4}[/tex]

C. [tex]\frac{15}{20}=\frac{3}{4} ,[/tex] 24 = 32 = 3 × 8: 4 ×8 = 3 = 4

D. [tex]\frac{30}{40}=\frac{3X10}{4X10}=\frac{3}{4} , 18:24=3X6=4X6=3:4[/tex]

choose A

WHAT IS THE VOLUME OF THE PRISM????

Answers

Answer:

78 3/4

Step-by-step explanation:

Convert all the mixed numbers to fraction : 4 1/2 = 9/2 ; 3 1/2 = 7/2

V = 9/2 x 5 x 7/2 = 315 / 4 = 78 3/4

Hope it helps


!!!HURRY PLS!!!
My BraIns nOt wOrkIng-

Answers

Answer:

x=5

Step-by-step explanation:

x+3=2x-2

1. take the square root's out

2. subtract -3 from both sides of the equation.

x+3-3=2x-2-3

3. subtract.

x=2x-5

4. subtract 2x from both sides of the equation.

x=-2x=2x-5-2x

5. solve

x=5

Finding the measure of each angle indicated

Answers

Answer:

50

Step-by-step explanation:

Because if the tringles are equal they'll be the same amount (110) 50+60= 110

Which value of x makes the equation 0.1x – 2.5 = 1.0 true?
a. 10
b. 15
c. 20
d. 35

Answers

Answer:

d) 35

Step-by-step explanation:

0,1 *35 - 2,5 = 1,0

An angle bisector of a triangle divides the opposite side of the triangle into segments2 cm and 5cm long. The second side of the triangle is 7.5 cm long. Find all possible lengths for the third side of the triangle.

Answers

Answer:

3 cm or 18.75 cm

Step-by-step explanation:

Let the third side is x.

According to Triangle-angle-bisector theorem, we have the possible ratios:

x/7.5 = 2/5

or

x / 7.5 = 5/2

Solve for x in each case:

1)

x = 7.5*2/5 = 3 cm

2)

x = 7.5*5/2 = 18.75 cm

True
Consider the equation q = 4 +0.8p.
=
What value of p would make the equation to
12?

Answers

Answer:

p=10

Step-by-step explanation:

q = 4 +0.8p

Let q = 12

12  = 4 +0.8p

Subtract 4 from each side

12-4 = 4+.8p -4

8 = .8p

Divide each side by .8

8/.8 = .8p/.8

10 =p

what is 4.09 less than 5.6 ??

Answers

Answer: -1.51, or it could be 4.09 < 5.6 (Im sorry if I get it wrong I just wanted to help)

Step-by-step explanation:

The value of the subtraction is 1.51.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given numbers are 4.09 and 5.6. The value of 4.09 less than 5.6 will be calculated as:-

Subtraction = 5.6 - 4.09

Subtraction = 1.51

Therefore, the value of the subtraction is 1.51.

To know more about an expression follow

https://brainly.com/question/25421984

#SPJ2

The product of 20 any y (Pls i need help in this)

Answers

Answer:

Step-by-step explanation:

20y

Meaning 20xy

Y=1

So 20 is 20

im having trouble solving this. y=5(x-3)​

Answers

Hi there!!

  If you need  X to be solved then the answer is X=Y over 5+3 and if your looking for the answer for Y then the answer is Y=5x−15

                                                 

When you are solving for X you will need to use the distributive property so you can multiply 5 by X-3.

Y=5x-15. Once you've done that then you need to swap sides so all of the variables are on the same side as each other  (they need to be on the left side) 5x-15=Y.

Then you need to add 15 to both of the sides to make it look like this     ->5x=Y+15

When that's done you then need to divide both sides by 5 so it then looks like this when done.

5x over 5= Y+15 over 5

When you divide this by 5, it then undoes the multiplication by 5.

X= Y+15 over 5

Finally, you need to divide Y+15 by 5

X=Y over 5 plus 3

                                 

When solving for Y, all you will need to do is use the distributive property to multiply 5 by X-3.

I REALLY HOPE THIS HELPED YOU OUT AND THAT I DIDN'T WASTE YOUR TIME WITH A WRONG ANSWER . BUT IF THIS WAS CORRECT THEN YOU ARE VERY WELCOME

I need helppppp plssssssssss

Answers

Answer:

  (x, y) = (9, 17)

Step-by-step explanation:

Any two pairs of equations can be used to form a system of equations that will give appropriate values of x and y. Let's set the upper and lower left expressions equal to the middle one.

  2x +3y -20 = 4x +5y -72 . . . . upper left = middle

  52 = 2x +2y . . . . . . . . add 72-2x-3y

  x + y = 26 . . . . . . . . . . divide by 2

and ...

  5x -2y +38 = 4x +5y -72 . . . . lower left = middle

  110 = -x +7y . . . . . . . . . . . . . add 72-5x+2y

Now we have two equations in two unknowns that will give us the common values of x and y. Adding these equations eliminates x and gives the value of y:

  (x +y) +(-x +7y) = (26) +(110)

  8y = 136 . . . . . . . . simplify

  y = 17 . . . . . . . . . divide by 8

  x = 26 -y = 26 -17 = 9

The values of x and y that make all of these expressions equal are ...

  (x, y) = (9, 17)

The value they are equal to is ...

  2x +3y -20 = 2(9) +3(17) -20 = 18 +51 -20 = 49

__

Check

  upper right = 9 -4(17) +108 = 9 -68 +108 = 49

  lower right = 3(9) -17 +39 = 27 -17 +39 = 49

y=28(0.25)^x WHAT IS THE FREAKING PERCENT? Thank you! <3?

Answers

Answer:

75%

Step-by-step explanation:

the Nth term of a geometric sequence is given by this equation, solve it and show ALL of your steps. 4 through 7

Answers

Answer:

I dont know the answers but here is an example( look at screenshots)

Step-by-step explanation:

what is -5/2dividedby5/7

Answers

[tex]\frac{ - 5}{2} \: by \: \frac{5}{7} [/tex]

[tex] - 3.5[/tex]

Answer : [tex] - 3.5[/tex]

A random sample of 24 corporate-owned stores finds an average number of customers of 313 with a standard deviation of 34.9. What is the upper bound of a 95% confidence interval for the average number of customers in corporate-owned stores

Answers

Answer:

95% is 1700 customers

Step-by-step explanation:

JK i actually dont know but thnks for the points BTW

Solve the equation below pls show your work no links pls.
[tex](9^{2} )^{-1/3}[/tex]

Answers

Given :-

[tex](9^{2} )^{-1/3}[/tex]

To Find :-

To solve the expression .

Solution :-

Given expression to us is ,

[tex](9^{2} )^{-1/3}[/tex]

We know that ,

[tex] 9 = 3^2[/tex]

So our expression becomes ,

[tex]\{ (3^2)^2\}^{\frac{-1}{3}}[/tex]

And , [tex] (a^m)^n =a^{mn}[/tex] . Using this ,

[tex] (3^4)^{\frac{-1}{3}}[/tex]

Again using the same law ,

[tex] 3^{\frac{-4}{3}}[/tex]

We know that , [tex] a^{-m}=\frac{1}{a^m}[/tex] . Therefore ,

[tex] (3^{-4})^{\frac{1}{3}}[/tex]

[tex]\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}[/tex]

[tex]\\ \dfrac{1}{\sqrt[3]{3^4}}[/tex]

Simplify ,

[tex] \dfrac{1}{3\sqrt[3]{3}}[/tex]

This is the simplified expression.

I hope this helps.

please help!! Tysm <33

Answers

Answer:

[tex] \frac{p}{3} = 5[/tex]

p = 15

[tex] \frac{15}{3} = 5[/tex]

HELP MY GRADE 9 PLS AND THANK YOU

Answers

Answer:

64x²y²

Step-by-step explanation:

Use the great smart calculator

hope it helpz uuuuuuu

The points F(4,
-2), G(9,
-6), H (8, -1), and I (5, 2) form a quadrilateral. Find
the desired slopes and lengths, then fill in the words that BEST identifies the type of
quadrilateral.

(PICTURE BELOW)

Answers

slope of GH

and

lenght of FG

Choose the correct product of (7x − 6)2. 49x2 84x 36 49x2 − 36 49x2 36 49x2 − 84x 36.

Answers

Answer:

the answer for this question is 49x²-84x+36

hope it helps

Answer:49x²-84x+36

Step-by-step explanation:

Amy is trying to determine how many different outfits she can make. She has 4 bottoms 7 tops, 2 belts, and 5 pairs of shoes. Assuming she wears one of each item, how many different outfits can
she make?

Answers

Answer:

Amy puede hacer 4 conjuntos.

Step-by-step explanation:

La solución sería

Se sabe que un conjunto de vestir se compone de camisa o blusa, pantalones, zapatos y cinturones, aunque este ultimo es opcional.

Lo que haremos es esto, empezamos a coger una pieza de cada prenda para armar un conjunto.

Primer conjunto:

1 blusa, 1 pantalón, 1 cinturón, y 1 par de zapatos.

Y esto quedaría así: 3 pantalones, 6 blusas, 1 cinturón y 4 pares de zapatos.

Segundo conjunto:

1 blusa, 1 pantalón, 1 cinturón y 1 par de zapatos.

Esto quedaría así: 2 pantalones, 5 blusas, 0 cinturones, 3 pares de zapatos. Sabemos que el cinturón es opcional, así que podemos continuar.

Tercer conjunto:

1 blusa, 1 pantalón y un par de zapatos.

Esto quedaría así: 1 pantalón, 4 blusas, 0 cinturones y 3 pares de zapatos.

Cuarto conjunto:

1 blusa, 1 pantalón y un par de zapatos.

Esto quedaría así: 0 pantalones, 3 blusas, 0 cinturones y 2 pares de zapatos. Como en un conjunto el pantalón es prioridad, al no tener más pantalones los conjuntos quedarían hasta aquí.

¡Recuerda!

No es lo mismo organizar tu ropa en conjuntos, a que hagas variaciones con ella.

What is the volume of this sphere? Use 3. 14 for pi and round to the nearest hundredth when necessary. 50. 24 m³ 267. 95 m³ 1607. 68 m³ 2143. 57 m³.

Answers

Volume of a figure is the measurement of space occupied by the figure. The volume of the specified sphere is given by Option B: 267. 95 m³

What is the volume of sphere?

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

For the given sphere, its diameter is 8 units, thus, its radius is half of its diameter and thus, of 4 units.

Thus, volume of specified sphere is obtained as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3\\\\V = \dfrac{4}{3} \pi (4)^3 =\dfrac{256}{3} \times 3.14 \approx 267.95 \: m^3[/tex]

Thus,

Volume of a figure is the measurement of space occupied by the figure. The volume of the specified sphere is given by Option B: 267. 95 m³

Learn more about volume of sphere here:

https://brainly.com/question/381274

Other Questions
Solve the equation 7x=3^2-1 Match the following terms with their English translationLa mujerEl hombreEl jovenLa jovenEl azcarLa cucharaEl cuchilloLa servilleta Find the distance between the points (3, -7) and (-4, -7) Brainliest if correct Which of the following is important to take into consideration when organizing day-to-day priorities? A. Thinking about what these things mean in your life B. Remembering the small things C. Recognizing whether it is too large of a task to handle D. Determining if you're doing it for yourself or someone else Please select the best answer from the choices provided. A B C D. Use given triangle to fill in the blank. In 2020, summer camp registration was $15more than it was in 2021. In 2020, registrationwas $285. By what percentage did the summercamp registration decrease in 2021? PLEASE HELP ME!! I ALREADY DID THE FIRST ONE BUT IM SO CONFUSED ABOUT THE OTHERS!!! 2. What lead to the increase in population in the New Mexico territory from 1850 to 1900 Help please I am lost Using the net below, find the surface areaof the rectangular prism.6 in.2 in.6 in.6 in.in.2 in.6 in.12 in.Surface Area[?] in.Enter A cheese puff contains 15 g of carbohydrate. If carbohydrates have a caloric value of 4 kcal/g, how many kcal are obtained from the carbohydrate in the cheese puff?Will Mark Brainliest Help Plss!! PLEASE HELP FAST ASAPOn Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.A total of people visited the natural history museum Friday night.A: 36B: 133C: 750D:1500 A copper wire has a diameter of 1.947 mm. What magnitude current flows when the drift velocity is 1.79 mm/s in which type of political system would you expect a person to live in grinding poverty for years These two triangles are congruent.bB6 cm104912 cm9 cmA47'R292912 cmPa)What is the size of angle Q? write an html on the topic of music..Hey mate , If you have any question in maths , you can ask .. Sixty-five percent of global greenhouse gas emissions are made up of carbon dioxide, while only sixteen percent are made up of methane gas. Which of the following best explains why scientists are increasingly concerned about the effect of methane gas emissions on global climate if they are a relatively small percent of greenhouse gases released?. Look at the shaded shapes drawn on a square grid.ABSteven says:The area of rectangle A is double the area of square B.Is he correct?Explain your answer: Select True or False to correctly classify each inequality.Inequality True False66 True 66False 6632.94.54.5 True 4.54.5False 4.54.5HELP ASAP