A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answers

Answer 1

Answer:

48240

Step-by-step explanation:

Part one

1 mile per hour = 1.60 kilometers per hour

30 miles per hour = ?

Step 1: Set up a fraction.

The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.

Step 2: Solve

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

Cross multiply

1.60 × 30 = 48

1 × k = 1

Therefore, the rate is 48 kilometers per hour.

Part 2

This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.

Step 1: Multiply the result to 5.

48 × 5 = 240

Therefore, the cyclist will travel 240 kilometers in 5 hours.

Answer 2
240km

Step-by-step explanation:

First, to make everything more clear, rewrite it like this-

1 mile = 1.6km

So we have to multiply 30 (miles) by 1.6 (km)

30 x 1.6 + 48

So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.

We have to multiply 48 by 5 which equals 240

So the answer is 240km


Related Questions

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog. If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 30 inches long and 18 inches wide? Explain and show your work.

a) Find the length of the side of each case


b) Is the length of the table enough for the 3 cases? Explain


c) Is the width of the table enough for the 3 cases? Explain

Answers

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

z-16z=15 what is z please

Answers

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 (1 - 3x) = 2 (- 4x +7)

Answers

Answer: x = -11

Step-by-step explanation:

Expand the expression (distributive property): 3 - 9x = -8x + 14

// subtract 14 from both sides = -11

// add 9x on both sides = x

Simplify: x = -11

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

1) Rearrange Terms

[tex]3(-3x+1)=2(-4x+7)[/tex]

2) Distribute

[tex]-9x+3=2(-4x+7)[/tex]

3) Distribute

[tex]-9x+3=-8x+14[/tex]

4) Subtract 3 from both sides of the equation

[tex]-9x+3-3=-8x+14-3[/tex]

5) Simplify

A. Subtract the numbers

[tex]-9x=-8x+14-3[/tex]

B. Subtract the numbers

[tex]-9x=-8x+11[/tex]

6) Add 8x to both sides of the equation

[tex]-9x+8x=-8x+11+8x[/tex]

7) Simplify

A. Combine like terms

[tex]-x=-8x+11+8x[/tex]

B. Combine like terms

[tex]-x=11[/tex]

8) Divide both sides of the equation by the same term

[tex]\frac{-x}{-1} =\frac{11}{-1}[/tex]

9) Simplify

A. Cancel terms that are in both the numerator and denominator

[tex]x=\frac{11}{-1}[/tex]

B. Divide the numbers

[tex]x=-11[/tex]

Which of the ordered pairs is a solution to
4x - y = 8?
a. (0, -8).
b. (0,8).
c. (8,0).
(-3.0

Answers

Answer:

a(0,-8)

Step-by-step explanation:

4x0=0

0--8= 8

You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation.
(i have the solution, but i don't really understand the question, it feel like i need some explanation or something.....i don't know. Cause it ask me "what is p" on next question so i don't really understand what should i do on this question.....please help...)

Answers

Answer:

p = 18

Step-by-step explanation:

4(p-7) = 44

The operations in order are to distribute first, 4p - 28 = 44

Isolate the variable, 4p = 72

and divide for the answer, p = 18

P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.

which square has more white space one big circle or small many circle explain

Answers

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

If Rosa walks 3 miles in 40 minutes, then Rosa will walk how far in 70 minutes if she walks at the same
speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
miles.

Answers

Answer:

5.25 miles.

Step-by-step explanation:

1) Rosa spends 10 minutes in 3/4=0.75 miles, then

2) Rosa can spend 70 in 0.75*7=5.25 miles.

Answer:

5.3 miles

Step-by-step explanation:

3miles/40min =x miles/70min

cross multiply the fractions

3*70 = 40*x

210=40x

divide by 40 on both sides

210/40 = 5.25

Multiply. What is the product?

[−2 3/11⋅(−4)]⋅(1 13/20)⋅(−10)

Answers

Answer:

- 5198/11

Step-by-step explanation:

[tex]500+500+500[/tex]

Answers

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: uoᴉʇnlos ɹnoʎ sᴉ ǝɹǝɥ

[tex]500 + 500 + 500[/tex]

[tex]1500[/tex]

Ally's science class was looking at bacteria through a microscope. Ally's teacher said some bacteria can be as small as 0.00365 cm long. What is the length of the bacteria written in scientific notation?

Answers

The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

To have a negative exponent value, move decimal to the right

To have a positive exponent value, move the decimal point to the left.

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

Read more:

https://brainly.com/question/10401258

(0.027/64000)⅓
guys pls I need help​

Answers

Answer:

7.5×10^-3

Step-by-step explanation:

[tex] \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } [/tex]

due to the law of indices :

[tex] = 4.21875 \times 10 ^{ - 7} [/tex]

don't forget

(0.027/64000)⅓

so :

[tex] ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } [/tex]

i.e third root of the answer above

[tex] = 7.5 \times {10}^{ - 3} [/tex]

expand and simplify 5(3x+2) -2(4x-1)

Answers

Step-by-step explanation:

5(3x+2)-2(4x-1)

15x+10-8x+2

7x+12

Solution

5(3x+2) -2(4x-1)
Expand the bracket first

(5*3x)+(5*2) (-2*4x)x(-2*-1)
15x+10-8x+2
Then you collect like terms
15x-8x+10+2
= 7x+11

please help! due tmr

Answers

Answer:

One solution

Step-by-step explanation:

3x+x+2=8x-4x+2

Combine like terms.

4x+2=4x+2

Solve for x

4x+(-4x)+2=4x+(-4x)+2

2=2

This equation has one solution because 2 only equals 2 and will not equal any other number.


Find the effective rate for a payday loan which charges $53.29 for a two week loan of $430.

Answers

Sorry for the wait.....

Hope this helps and Happy Halloween!!!!

The effective rate for a payday loan is 3.21%.

What is Interest rate?

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given:

Amount Financial = 430

Financial Charge= 53.29

Term of loan= 14 days

So, the effective rate will be

= (53.29/430 ) x 365

= 45.2345

and, =45.2345/14

= 3.21

Hence, the effective rate is 3.21%.

Learn more about interest here:

https://brainly.com/question/13324776

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Please Help, This is confusing. What is the equation of the line that passes through the point (2,-6) and has a slope of -1?

Answers

Answer:

ok ok it is y+6=-1(x-2)

Step-by-step explanation:

brainliest?

Answer:

Firstly, you can use the slope and the first point to find a second point:

2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.

Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):

y - 11 = 5(x - 3)

Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.

Hope this helps!

2 root 5 x 5 root 5 sgsvbhmdhmcbjkd jklcdvncbcbxcvzbvk

Answers

Answer:

ummm?

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

I have no idea what u just asked

calcular el valor de la fuerza desconocida en cada gráfico, si el sistema esta en equilibrio (les pongo coronita :c ayuda porfaaa)​

Answers

Answer:

7. F=24N

8. P=16N

Step-by-step explanation:

the sum of all forces will equals 0

Hello! I need help with this question

Answers

Each min is =0.75$
So 5$ can talk 5$/0.75$ =6.6667 min
First option

Write the slope-intercept form of the equation of the line perpendicular to the
graph of 2x-y=6 that passes through the point (-4,1).

Answers

Answer:

12x=4y........................................

Anyone know how to solve this? Pease show how you got the answer:)

Suppose you used one quarter of a sheet of paper for each ad and four full sheets for the title banner in Problem 2. How many ads could you make?

- 56 ads
-48 ads
-64 ads
-12 ads

Answers

- 56 ads jajjajahahahahajha

What does the number shown below equal to?
-15x = 390

Answers

Answer:

x =-26

Step-by-step explanation:

-15x = 390

Divide each side by -15

-15x/-15 = 390/-15

x =-26

Answer:

X = -26

Step-by-step explanation:

Divide both sides by -15.

390/-15 = -26

X is equal to -26.

What is the solution to the system of linear equations? Show your work using either substitution or elimination.

Need help rlly soon! Also please show work!

Answers

Answer:

x = 11 ; y =13

Step-by-step explanation:

3x - 2 y = 7    -------------(I)

        y = x + 2  -----------(II)

Substitute y = x + 2 in equation (I)

3x - 2(x + 2) = 7

3x - 2*x + 2*(-2) = 7

3x - 2x - 4 = 7

      x - 4 = 7

           x = 7 + 4

x = 11

Plugin x = 11 in equation(II)

y = 11 + 2

y = 13

Translate the sentence into an equation.
Eight more than the quotient of a number and 2 is 6.
Use the variable b for the unknown number.

Answers

Step-by-step explanation:

8 + b/2 = 6

8 more than the quotient of is 6

a number and 2

Please help it’s due today

Answers

Answer:

the answer is the 3rd one.

Step-by-step explanation:

Two farms begin the year with $1,500 of extra saving in case they lose money at the year’s end.

Answers

And???? What are we computing, you just gave me a fact.

Alicia has 7 paintings she wants to hang side by side on her wall.
2. If Alicia only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
3. In how many ways can Alicia arrange 4 out of the 7 paintings? Show your work.

Answers

The question is an illustration of permutation and combinations.

The number of ways she can choose 4 out of the 7 paintings is 35The number of ways she can arrange 4 out of the 7 paintings is 840

The given parameters are:

[tex]\mathbf{n = 7}[/tex]

[tex]\mathbf{r = 4}[/tex]

(a) Choose 4 of 7 paintings

Choosing 4 of 7 paintings implies combination.

So, we have:

[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]

[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]

Expand

[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]

[tex]\mathbf{^7C_4 = 35}[/tex]

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

(b) Arrange 4 of 7 paintings

Arranging 4 of 7 paintings implies permutation.

So, we have:

[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]

[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]

Expand

[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]

[tex]\mathbf{^7P_4 = 840}[/tex]

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

https://brainly.com/question/15301090

Determine the inverse of the function f (x) = 3(x − 4)^2 + 5.

Answers

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

What is the inverse of a function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].

According to the given equation.

We have a function.

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

The above function can be written as

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

Write the above function for x.

[tex]\implies y -5 = 3(x-4)^{2}[/tex]

[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]

[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]

Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].

We get

[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]

Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

Find out more information about the inverse of the function here:

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A line passes through point N ( -2, 0). Its slope is -3. What is the linear equation for this line?

Answers

Answer:

y = -3x - 6

Step-by-step explanation:

a locker contains 3 pairs of tennis shoes, 1 pair of jogging shoes, and 2 pairs of leather shoes. without looking , what's the probability of pulling out the pair of jogging shoes and then one pair of tennis shoes. (assume that you don't put the first pair of jogging shoes back in the locker.) write your answer as a fraction

Answers

Answer:

1/3 chance

Step-by-step explanation:

hoped this helped you!

Giving brainliest to the person who answers correctly.
What type of angles are these?

Answers

Answer: I believe those would be opposite angles (aka vertically opposite angles).

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$200 is divided in the ratio 6: 4, What is the smaller part? lim(x1)(1-x)/(x^2-1) Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty Evaluate -8x+5-2x-4+5x Once upon a time there was kingdom near a lake then one day the lake dried up so they went to the king and said in hasnt rained in such a long time and our field are barren said the farmers Theres no fish so are we supposed to make a living said the fishermen and the women asked to saved the citizens from the disaster As their children needed water then the king told his 4 generals to look for water and the generals went in all directions looking for water And the 3 generals quit but the general that went north didnt quit because he didnt want to let his village down and the found mountain ranges before finding a cold village then as he sat on a rock an old lady from the villages sat on a rock then he told the lady that hes from a kingdom that didnt rain for as year and he asked her where he can find Water then the lady tells him to follow her to a cave And the ladys country is also suffering a drought an that these icicles Have water then the general breaks a huge piece And took it home and it melt into a small piece of lump by the time he got back And everyone was amazed because they havent seen ice before and believed it was a seed so they dug a hole to plant it and by the time they put the ice on the ground it vanished So they dug deeper and deeper into the earth looking for the ice all night long By the time dawn break the king saw the farmers fast asleep and was curious on what they did And was amazed to see ground water believing the seed sprouted And called everyone to see water in the hole thats basically the story on how the first well was created 1.0286 as a fraction what effort is made in nepal for the conservation of wildlife? The coming together of two terrestrial plates can change ecosystems byA) decreasing the gene pool as different species of animals and plants to interbreedB) introducing new species between previously-separated land masses, altering existing food chainsC) creating new habitats for land animals that fill niches at lower altitudes and warmer temperaturesD) increasing the area of the shoreline, providing more habitats for marine life that need greater sunlight Evaluate the expression 6^2-(84^2+7 what is one third of 16 create 3 food chain with these fish,seaweed,eagle,lion,mango,monkey,banana, parrot,snake,cow,crocodile 5.) Dynasti works in a department store selling clothes. She makes a guaranteed salary of$1250 per week and is paid a commission of 15% of her sales. Write an equation to model thesituationHow much money will Dynasti make if she sells $4,000 worth of clothing? 1. What part of Mother Teresa's life touched you? Why?2. What are your realizations after reading or watching the video about her life?3. How can you apply them in your day-to-day living? Whats the greatest common factor of (280, 168) What occurs along a convergent plate boundary?earthquakes and volcanoesvolcanoes and ridgeshot spots and ridgesearthquakes and hot spotsOi please hurry Compare and contrast positive and negative spaces of an artwork. What is one thing that makes them different from each other? Methane (CH4) is a gas that is found in small quantities in Earths atmosphere. Which type of bonds does methane have, and why does one carbon atom bond with four hydrogen atoms? In three to five sentences, explain your answer in terms of valence electrons and electronegativity. almorzar ducharse peinarse ver la televisin desayunar dormirse despertarse estudiar en la biblioteca James is confident enough to speak in front of hundreds of people (confidence) How much will it cost for him to buy 3 dozen using the rate $12.00 for 20 cookies?