Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 ​ km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate.

Answers

Answer 1

Answer:

[tex]2\frac{8}{15}[/tex]

Step-by-step explanation:

The calculation of average speed in kilometres per hour is shown below:-

As we know that

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

So, the average speed is

[tex]= 3\frac{1}{6} \div 1\frac{1}{4}[/tex]

Now we will convert into a mixed number i.e

[tex]3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}[/tex]

Now the cross cancel common factor is 2

So,

[tex]= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}[/tex]

hence, the average speed is [tex]2\frac{8}{15}[/tex] in kilometers per hour

Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour


Related Questions

What is the value of 12 (8 + 9)?

Answers

Answer:

204

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Parenthesis

12(17)

Step 2: Multiply

204

Answer: 204

Step-by-step explanation: Following your order of operations, you should simplify what's inside the parenthses first. So (8 + 9) simplifies to 17.

Bring down your 12 and you have 12(17) which equals 204.

please help :) Kiran explores the growth of a plant in natural light, then repeats the experiment with the same plant type but different colored filters. A. asking a question B. performing an investigation C. collecting data D.providing explanations E. communication results

Answers

Answer:

Its c

Step-by-step explanation:

I answered this same question Heh. Its c because you have to collect the data in order to record the growth of each plant.

help me pwease!!!!!!!!!​

Answers

Domain is   [tex]0 \le x \le 12[/tex]

Range is [tex]0 \le y \le 900[/tex]

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

Explanation:

The smallest x can be is x = 0. The largest x can be is x = 12. This is shown as the left-most and right-most values of the graph. We could have x be anything between 0 and 12, including both endpoints, so we say the domain is [tex]0 \le x \le 12[/tex]. Recall the domain is the set of all allowed x inputs of a function.

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

The range is the set of all possible y outputs. The smallest y output possible is y = 0, and the largest is y = 900. The range is therefore [tex]0 \le y \le 900[/tex] meaning y is between 0 and 900, including both endpoints.

Both domain and range endpoints happen to be at the x and y intercepts. This won't always be the case.

Given that point A is the midpoint of line segment ED, where E( -1,9) and A(4,5), what is the location of point D?

Answers

Answer:

  D(9, 1)

Step-by-step explanation:

A being the midpoint means its coordinates satisfy ...

  A = (E + D)/2

Solving for D, we find ...

  D = 2A -E

  = 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)

  D = (9, 1)

The square of 1 3/4 is

Answers

Answer:

169/16

Step-by-step explanation:

13/4

what is a square at first

a square is the result of multiplying a number by itself

so the square of 13 will be 169

and the square of 4 will be 16

so easy...bingo

Answer: 49/16 or 3 1/16

Explanation:

1 3/4 = 7/4

(7/4)^2 = 7^2/4^2 = 49/16

49/16 = 3 1/16

Write each polynomial in standard form. identify the leading coefficient.

Answers

26. 5x^2+3x-2
The leading coefficient is 5.

28. -5c^2-3c+4
The leading coefficient is -5.

30. t^5+2t+11t-3
The leading coefficient is 1.

Ques 1 : Simplify the following 2*2 42128 33+23 16+3 416 89 * 73 315- 216

Answers

Answer:4,42128,56,19,416,6497,99

Step-by-step explanation:

Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces. How many ounces did he buy in all?

Answers

Answer:

Alan buys 12.05 ounces of sour patch kids candy in all.

Step-by-step explanation:

We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.

And we have to find the total ounces he buys in all.

As we know that for finding the total quantity or amount, we will use addition for calculating it.

Firstly, Alan buys = 5.3 ounces of sour patch kids candy

Additional ounces of sour patch kids candy Alan buys = 6.75

So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75

                                                                                                   = 12.05 ounces

Hence, he buys 12.05 ounces in all.

Solve the equation (show work if possible)

Answers

Answer:

-10 is right answer

Step-by-step explanation:

see in attached picture

hope it helped you:)

Answer:

[tex] \frac{r}{2} + 2 = - 3[/tex]

[tex] = ) \frac{r + 4}{2} = - 3[/tex]

[tex] = )r + 4 = - 6[/tex]

[tex] = )r \: = - 6 - 4[/tex]

[tex] = )r \: = - 10[/tex]

Estimate the median number of texts sent per day by this group of middle school students.

Answers

Answer:

33 i think

Step-by-step explanation:

Answer:

49.5 texts

Step-by-step explanation:

The total number of students is

11+21+33+23+12 = 100

The middle is 50

150 is in the middle group

The median will be between 40 -59

The best estimate for the median is to add the 40+59 and divide by 2

(40+59)/2 = 99/2 = 49.5 texts

What do the expression (3³) and (3⁴) have in common?​

Answers

Answer:

Both terms have the same base.

Step-by-step explanation:

While they share the same base, 3, their powers differ (one to the cube, and the other to the quartic).

━━━━━━━☆☆━━━━━━━

▹ Answer

Both of them have the same base.

▹ Step-by-Step Explanation

The exponential quantity differs, but 3³ and 3⁴ both have the same base number of 3.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

please help asap! Which of the following statements is not true?(1 point) Every real number is also a complex number. For a complex number written in the form a+bi, the value of a is called the real part of the complex number. A complex number is a number that can be written in the form a+bi where a and b are real numbers. In order for a+bi to be a complex number, b must be nonzero.

Answers

Answer:

last statement is false

Step-by-step explanation:

g) 145
Let's convert each of the following binary numbers into decimal number
a) 11, b) 101, c) 110 d) 1010
e) 1100
f) 10010,
g) 11111, h) 111010, i) 111001, 1 1100101
5. Let's convert each of the following decimal numbers into binary numbers.
a) 7
b) 18
c) 25
d) 72
e) 99
f) 124
h) 216 i) 308
i) 417
6. Let's convert each of the following quinary numbers into decimal numbers.
a) 13.
b) 24, c) 32
e) 203,
f) 340,
g) 1203, h) 2113 i) 1234, i) 4444
7. Let's convert each of the following decimal numbers into quinary numbers.
a) 9
b) 13
c) 27
e) 126
f) 212
h) 670 i) 1126 1 4025
d) 120,
d) 55
g) 512​

Answers

Answer:

To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.

So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.

now you can calculate the answers yourself!

To convert decimal into binary, you can use the following approach:

Write down the answer from right to left

A. if your number is odd, write down a 1, if it is even, write a 0

B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)

C. repeat step A until your number is 0.

example:

18 -> write down 0

18/2 = 9 -> write down 1

9/2 = 4 -> write down 0

4/2 = 2 -> write down 0

2/2 = 1 -> write down 1

1/2 = 0 finished

The result is 10010.

Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot? x (RootIndex 3 StartRoot 6 x EndRoot) 6 (RootIndex 3 StartRoot x squared EndRoot) 4 (RootIndex 3 StartRoot 6 x squared EndRoot) x (RootIndex 3 StartRoot 6 EndRoot)

Answers

Answer:

4 (RootIndex 3 StartRoot 6 x squared EndRoot)  = 4[tex]\sqrt[3]{6x^2}[/tex]

Step-by-step explanation:

Added radical forms to the question for better visibility.

Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot = [tex]\sqrt[3]{6x^2}[/tex] ?

x (RootIndex 3 StartRoot 6 x EndRoot) =  x[tex]\sqrt[3]{6x}[/tex] 6 (RootIndex 3 StartRoot x squared EndRoot)  = 6[tex]\sqrt[3]{x^2}[/tex] 4 (RootIndex 3 StartRoot 6 x squared EndRoot)  = 4[tex]\sqrt[3]{6x^2}[/tex] x (RootIndex 3 StartRoot 6 EndRoot) = x[tex]\sqrt[3]{6}[/tex]SolutionLike radicals are radicals that have the same root number and expression under the root.

1)  x[tex]\sqrt[3]{6x}[/tex] = [tex]\sqrt[3]{6x^4}[/tex]

No, incorrect

2) 6[tex]\sqrt[3]{x^2}[/tex] = [tex]\sqrt[3]{6^3x}[/tex]

No, incorrect

3) 4[tex]\sqrt[3]{6x^2}[/tex]

Yes, correct

4) x[tex]\sqrt[3]{6}[/tex] = [tex]\sqrt[3]{6x^3}[/tex]

No, incorrect

Compared with the given radical, we can see from the given choices only 3rd choice is like radical with [tex]\sqrt[3]{6x^2}[/tex]

Answer:

c

Step-by-step explanation:

i just did it

Please explain step-by-step.

What is 40% of 60?

Answers

40 x 60 / 100  and you get 24.

each 20% is 12

help me its my math....​

Answers

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since one alternate interior angle measures 60 degrees,

the other alternate interior angle must also measure 60 degrees.

Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?

Answers

Answer: (-5,0)

Step-by-step explanation:

-4x + 5y = 20   the x intercept is when y is zero so input zero into the equation and solve for x.

-4x + 5(0) = 20

-4x = 20

x = -5  

how does the value of the 9 in 857.9 differ from the value of 9 in 798.21

Answers

Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.

Question 2 (10 points)
(01.03 MC)
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly?

Answers

Answer:

4hrs 33mins

Step-by-step explanation:Speed = 11m/min

Total distance=500miles*6=3000miles

Total time= 3000miles/11m/min=273minutes = 4hrs 33mins

4 hrs and 33 minutes

Which of the following is equivalent to 2x2 + 9x + 9?
(x - 3)(2x - 3)
(x + 3)(2x + 3)
(x - 9)(2x - 1)
(x + 9)(2x + 1)

Answers

Answer:

(x+3)(2x+3)

Step-by-step explanation:

Factor:

2x^2+9x+9

=(2x+3)(x+3)

Answer:

(x + 3)(2x + 3)

Step-by-step explanation:

Sum = 9

Product = 2*9 = 18

Factors = 6 ,3

2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3

                    = 2x ( x + 3) + 3( x + 3)

                      = (x +3)(2x + 3)                

convert 2.16161616 to a rational number in the form of a/b

Answers

Answer:

[tex]\frac{214}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.

let x = 2.1616.... → (1)) ← multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2)

99x = 214 ( divide both sides by 99 )

x = [tex]\frac{214}{99}[/tex]

30 x + 7 (3 - 4 x) =

Answers

Answer:

I'm a bit rusty. But try 58x +21

Hope I helped you.

Hi pls help if you’re good at trigonometrytysm

Answers

Answer:

a = 80

b = 310

c = 96

Step-by-step explanation:

1)

20 + a + a = 180

2a + 20 = 180

2a = 160

a = 80

2)

180 - 65 - 65 + b = 360

b + 50 = 360

b = 310

3)

52 + c + 32 = 180

c + 84 = 180

c = 96

The answer should be
A= 80
B= 310
C=96
hope I’m right:)) sorry if wrong :((

What is the power
property of exponents?

Answers

Product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

Help help help help help

Answers

lets say for the first transformation x=1 and y=2

the transformation results in quadrant 2 (originating in quadrant 1) telling us it was a 90° counter-clockwise turn

for the second transformation we can let x=3 and y=4

transformation 2 results in quadrant 3 (originating in quadrant 1) telling us it was a 180° counter-clockwise turn

HOPE THIS HELPS!!!! :)

<333333333

Kristen has an area of 70 square feel for a flower garden she plants 5 varieties of flowers equally in her garden which ratio shows the square feel per flower type

Answers

Answer:

Each flower type area ratio = 14 ft²

Step-by-step explanation:

Given:

Total area = 70 ft²

Total equal varieties = 5

Find:

Each flower type area ratio

Computation:

There is 5 equal part of land

So,

Ratio = 1:1:1:1:1

Assume each part cover = x

So

Total area = 5x

5x  = 70 ft²

x = 14 ft²

Each flower type area ratio = 14 ft²

Anyone know the answer to this, will mark as brainlist

Answers

Answer:

15

Step-by-step explanation:

adding 15 black beads gives you 16 black beads and 4 white beads

16/4 =4/1 or 4:1

The answer is 15 because adding on 15 black beads will give 16 black beads and 4 white beads

16/4= 4:1

Hope this helps

how do i solve (−7z 4 )(7z)

Answers

Answer:

-49z^5

Step-by-step explanation:

(−7z^ 4 )(7z)

Multiply the numbers together

-7*7 = -49

Add the exponents

z^4 * z = z^4  * z^1 = z^(4+1) = z^5

Put back together

-49z^5


A cubic polynomial can have atmost
---zeros

Answers

Answer:

              3

Step-by-step explanation:

Any polynomial can only have as many zeros as is the highest exponent at x.

A cubic polynomial it's:  ax³+bx²+cx+d. The highest exponent at x is 3 so it is the largest number of its zeros.

Kyle lives in a state that has 6% sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables

Answers

Answer:

t = 0.06c

Step-by-step explanation:

Given the following :

Percentage sales tax on items = 6%

Cost of item = c

Amount of sales tax on item = t

Amount of sales tax is the product of the sales tax percentage and the cost of item purchased

Hence, Amount of sales tax;

t = 6% × cost of item (c)

t = 0.06 × c

t = 0.06c

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