Harvey the wonder Hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate find his average speed in kilometers per hour

Answers

Answer 1

let's firstly convert the mixed fractio to improper fraction.

[tex]\stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{ccll} Km s&Hour\\ \cline{1-2} \frac{19}{6}&\frac{1}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{19}{6}~~}{x}~~ = ~~\cfrac{~~ \frac{1}{4}~~}{1}\implies \cfrac{~~ \frac{19}{6}~~}{\frac{x}{1}}=\cfrac{1}{4}\implies \cfrac{19}{6}\cdot \cfrac{1}{x}=\cfrac{1}{4} \\\\\\ \cfrac{19}{6x}=\cfrac{1}{4}\implies 76=6x\implies \cfrac{76}{6}=x\implies \cfrac{38}{3}=x\implies 12\frac{2}{3}=x[/tex]


Related Questions

What is the domain of the function on the graph? 5 01 4. 3 O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to -2 all real numbers greater than or equal to -3 2 1 + 5 4 3 2 1 1 2 3 4 5 X -21 -3+ -4 J​

Answers

Option (4) all real numbers greater than or equal to -3

Step-by-step explanation:

Domain: Domain of function is defined by the x-values (Input values) on the graph.

Range: Range of a function is defined by the y-values (output values) on the graph.

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3). Option (4) will be the answer.

The domain of the function are all real numbers greater than or equal to -3.

What is function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given is a graph, we need to find domain of the function on the graph,

Domain is the set of all possible inputs or x-values, for which the given function is defined.

The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.

So, domain of the function are all real numbers greater than or equal to –3.

Hence, the domain of the function are all real numbers greater than or equal to -3.

Learn more about function, click;

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Bob is selling raffle tickets. For every 3 tickets, he charges $27 complete the table below showing the number of tickets and the amount Bob charges. (Number of tickets 3 ? 6 ? 9) (charge ($) 27 36 ? 72 ?)​

Answers

3-27 4-36 6-54 8-72 9-81
Those are the number and their corresponding charges. Hope that helps!

If I gallon = 4 quarts, how many gallons are equal to 108 quarts? Explain Your Answer.​

Answers

Answer:

27

Step-by-step explanation:

108 ÷ 4 = 27

proportion

if 1/x = 4/108

4x = 108

x = 108/4

x = 27

helpppp!! i’m willing to give all my points and brainliest, especially w explanation!

Answers

here are the basic rules for a right triangle:
One angle is always 90° or right angle.

The side opposite angle 90° is the hypotenuse.

The hypotenuse is always the longest side.

The sum of the other two interior angles is equal to 90°.

The other two sides adjacent to the right angle are called base and perpendicular.


a quick way to find angle 1, is just to look at the figure. there seems to be bisecting angles, so angle FCE and angle 1 are congruent. (meaning angle 1 is also 34 degrees)

hope this helps! lmk.

Anthony is 3 years older than his brother. write an equation you can use to find their ages. do not solve

Answers

equation: 3+x=

anthony= 3 years older

x= age of his brother

You must add 3 more years to the brother's age.

(a)
Y is
inversely proportional to the square of x.
The Given that y = 10 for a particular value of X,
find the value of y
when this value of x
is halved.

Answers

Answer:

y = 40

Step-by-step explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40

Esther is building a tower of cubes. The ratio of red to yellow cubes is 3:1 The tower has 6 yellow cubes. How many red cubes are there? please help me​

Answers

Answer:

18

Step-by-step explanation:

We can rewrite the question into mathematical forms, such as:

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

solve for x:

[tex]\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x[/tex]

The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?

Answers

Answer:

2 hours 15 minutes

Step-by-step explanation:

7+2 =9

00+15 =15

Answer:

2 hours and 15 minutes

Step-by-step explanation:

2 hours and 15 minutes

7pm - 8pm = 1 hour

8pm - 9:15 = 1 hour 15 minutes

1 hour + 1 hour +15 minutes = 2 hours 15 minutes

Translate this phrase into an algebraic expression.
7 increased by twice Gail's height
Use the variable g to represent Gail's height.

Answers

Answer:

7+2g

Step-by-step explanation:

7 increased by means 7 +

twice Gali's height =2g

everything now becomes 7+2g

Solve for x
12
(x + 2)/
B
O 14
O 10
12
06

Answers

Answer:

opposite sides of ||gram are equal and parallel therefore

12=x+2

12-2=x

10=x

pls mark as brainliest

Determine the volume of a rectangular prism if
length = 5 inches
width = 4 inches
height = 4 inches

Answers

Answer:

80 inches cubed

Step-by-step explanation:

V=bh

b= 5 x4 h=4

5 x 4 x 4 = 80

If n'(x) = 2sin(2x) and n(0) = 0 what is the absolute maximum of n(x) on (0,2-}?

Answers

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3.

How to find the absolute maximum of a differentiable function

A function is differentiable in a given interval if and only if its derivative exists for every value of the interval. To determine the absolute maximum of n(x), we need to integrate the given function, apply first derivative and second derivative test and finally evaluate n(x).

First, we integrate n'(x) in terms of x:

n(x) = 2 ∫ sin 2x dx = 2 · (- 0.5 · cos 2x) + C = - cos 2x + C

- cos 0 + C = 0

C = 1

Then, n(x) = 1 - 2 · cos 2x.

Now we proceed to apply first and second derivative tests:

First derivative test

2 · sin 2x = 0

sin 2x = 0

2 · x = sin⁻¹ 0

2 · x = π ∨ 2π

x = 0.5π ∨ π

Second derivative test

n''(x) = 4 · cos 2x

n''(π) = 4 · cos 2π

n''(π) = 4

There is an absolute minimum for x = π. [tex]\blacksquare[/tex]

n''(0.5π) = 4 · cos π

n''(0.5π) = - 4

There is an absolute maximum for x = 0.5π. [tex]\blacksquare[/tex]

Finally, we evaluate n(x) for x = 0.5π to determine the absolute maximum:

n(0.5π) = 1 - 2 · cos π

n(0.5π) = 3

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3. [tex]\blacksquare[/tex]

Remark

The statement of the question is poorly formatted and reports several mistakes, correct form is introduced below:

If n'(x) = 2 · sin 2x and n(0) = 0. What is the absolute maximum of n(x) on (0, 2π]?

To learn more on derivative tests, we kindly invite to check this verified question: https://brainly.com/question/6097697

For which intervals is the function increasing?
Select each correct answer.

(2, ∞)

(1, 2)

(−∞, 0)

(0, 1)

Answers

Answer:

That would be (2, infinite)

Step-by-step explanation:

hope this helps

help its for calculus

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

its 1/sqrt{5}+2

peaches cost 1.79 per pound what equation is used to find c the total cost for p pounds of peaches

Answers

Answer:

[tex]\huge{\boxed{\bf\:1.79 * p}[/tex]

Step-by-step explanation:

Given,

Cost of 1 pound of peaches = 1.79

If pounds of peaches = p, then,

Cost of p pounds of peaches

= Cost of 1 pound × p pounds of peaches (p)

= 1.79 × p

[tex]\rule{150pt}{2pt}[/tex]

If m2=n , then the square root of

Answers

Answer:

m = ± [tex]\sqrt{n}[/tex]

Step-by-step explanation:

m² = n ( take square root of both sides )

m = ± [tex]\sqrt{n}[/tex]

(HELP!!!)

Identify the variable expression that is “not” a polynomial.

A. x+2

B. XA+7

C. 24

D. y + x

Answers

Identify the variable expression that is “not” a polynomial.

Try looking for the one that breaks the rules of it being a polynomial.

This graph plots the number of wins last year and this year for a sample of professional football teams.

Based on the line of best fit, which is the BEST prediction for wins this year for a team that won 4 games last year?


2

4

5

7

Answers

Answer:

5 won 4 games last year . This is the best prediction based on the lime fit

What does 48906478×78955680 equal to

Answers

Answer:

3861444226895040

Step-by-step explanation:

You do not want to know.

Will give 30 points to who answers!

Answers

Step-by-step in this answer is square root is 3
sqrt5/3sqrt15 multiply by sqrt15/sqrt15
sqrt(5x15)/(3x15)=sqrt75/45
sqrt75=sqrt25 x sqrt3= 5sqrt3
5sqrt3/45
=sqrt3/9

What do we do to both sides of this equation to solve?

5x=20

Question 3 options:

Add 5 to both sides


Subtract 5 from both sides


Multiply both sides by 5


Divide both sides by 5

Answers

Hello there! :)

Answer:

Divide both sides by 5

Step-by-step explanation:

we are given an equation 5x=20.

First, Add 20 to both sides

[tex]\boxed{x=\frac{20}{5} }[/tex]

Then, Divide both sides by 5.

[tex]\boxed{x=4}[/tex]

Divide 20 by 5 to get 4.

And there you go Our answer is Divide by sides by 5.

-Hope this helps

-Have an awesome weekend :)

[tex]-Yuri-[/tex]

work out the next term of this quadratic sequence
6 9 15 24 _

Answers

Answer:

36

Step-by-step explanation:

Every next term is added by a multiple of 3

6 + 3 = 9

9 + ( 3 × 2 ) = 15

15 + ( 3 × 3 ) = 24

24 + ( 3 × 4 ) = 36

Answer:

36.

Step-by-step explanation:

The differenes in the terms are 3, 6, 9  so the next difference is 12.

24 + 12 = 36.

p.7 Central Angles and Inscribed Angles
#4 What is the measure, in degrees, of arc JKI ?
4) JKI
80°
K
mJKI =
degrees


Helppp me

Answers

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

How can you determine which part of the triangle is the base and which is the height?

Answers

The base of a triangle can be any side as long as the height is perpendicular to the base because the height and base will always be perpendicular

Solve for x as well as rounding to nearest tenth please<3

Answers

Answer:

33.6

Step-by-step explanation:

Hyp = 24

theta = x

Adj = 20

we have h and a so you CAH

costheta = (20/24)

theta = cos^-1(20/24)

Solve the inequality below: (Remember to use x < or >or< or > ) and then choose the solution set on the number line below.-4x-5<-25 Part A SOlve the inequality

Answers

Answer:

{x : x > 5}

Step-by-step explanation:

-4x - 5 < -25

-4x < -20

When dividing/multiplying both sides with a negative number, change the inequality symbol to the opposite direction. e.g. < to > or > to <.

x > -20/-4

x > 5

Hence, the solution set is {x : x > 5}.

y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points

Answers

Answer:

I think you are incorrect

Step-by-step explanation:

this was the answer i got 121

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Carter says that 0.08 is equivalent to 8/10. Describe and correct Carter's error

Answers

Answer:

Step-by-step explanation:

If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8.  Carter misplaced his decimal point.

Please tell me how to solve this. if two people answer and one is the most specific, I will mark Brainliest.

Answers

Answer:

3.

Step-by-step explanation:

You use a "centroid." There is a ratio. As provided, MW is 9. The ratio is 1:2, and CW is smaller. The answer is 3.

"The centroid is also known as the geometric center of the object. The centroid of a triangle is the point of intersection of all the three medians of a triangle. The medians are divided into a 2:1 ratio by the centroid." -cuemath .com > geometry > centroid-of-a-triangle

How many cubes with side lengths of 1/2 cm does it take to fill the prism?

Answers

Check the picture below.

so, let's get the volume of the prism.

then let's get the volume of the smaller cube.

then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.

[tex]\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes[/tex]

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