A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70km, how far did he travel by train?​

Step-by-step explanation:

I assume you mean how do you divide a fraction by a whole number

In order to divide a fraction by a whole number we must use the KFC rule or the "Keep, flip, change" rule

The "Keep" means we keep the first fraction the same.

Next, we "flip" the second fraction (or in this case number; however it can be made into a fraction by putting it over 1). So now we have 4/10 divided by 1/2

Then we "change" the symbol so instead of dividing the fraction, we change the divide to a multiply.

Lastly, you just multiply the fractions as you usually would and you should end up with 4/20 which simplifies to 1/5 if my maths is correct.

Hope this helps.

Answer:

you can use KCF for this answer as well

Step-by-step explanation:

2 as a fraction would be 2/1

you need 4/10 divided by 2/1

applying KCF, you change it to be 4/10 multiplied by 1/2

solve to get 4/20 or simplified 1/5

hope this helped :)

well, first off, when it comes to volumes by rotation, we'd want to graph them, Check the picture below.  Our rotation over the axis will give us a "washer", so we'll be using the washer method.

now, our axis of rotation is the y-axis or namely x = 0, x = 0 is a vertical line, meaning we have to put the functions in y-terms, that is in f(y) form

[tex]y = x^2\implies \pm\sqrt{y}=x\implies \boxed{\pm\sqrt{y}=f(y)} \\\\\\ y = 4x\implies \cfrac{y}{4}=x\implies \boxed{\cfrac{y}{4}=g(y)}[/tex]

if we look at the picture, the parabola is the farthest from the axis of rotation and the line is the closest, or namely R² and r² respectively.

the way I get the area for R² and r², is by using the same I do with "area under the curve", so if I say call the axis of rotation h(y), the way I get the area is

R => f(y) - h(y)

r => g(y) - h(y)

so let's proceed.

[tex]\textit{area under the curve}\\ \begin{array}{llll} \sqrt{y}- 0\implies &\sqrt{y}\\ \frac{y}{4}-0\implies &\frac{y}{4} \end{array}\qquad \qquad \begin{array}{llll} \stackrel{R^2}{(\sqrt{y})^2}-\stackrel{r^2}{\left( \frac{y}{4} \right)^2}\\[-0.5em] \hrulefill\\ y\qquad -\qquad \frac{y^2}{16} \end{array}[/tex]

now, we want to get the area enclosed by both, and thus we'd need their points of intersection, setting both to [tex]\sqrt{y}=\cfrac{y}{4}[/tex]  which in short gives us the bounds of 0 and 16.

[tex]\pi \displaystyle\int_{0}^{16}\left( y - \cfrac{y^2}{16} \right)dy\implies \pi \int_{0}^{16}y\cdot dy-\pi \int_{0}^{16}\cfrac{y^2}{16}\cdot dy\\\\\\\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^{16}-\pi \cdot \left. \cfrac{y^3}{48} \right]_{0}^{16}\implies 128\pi -\cfrac{256\pi }{3}\implies \boxed{\cfrac{128\pi }{3}}[/tex]

Answer:

root 490

Step-by-step explanation:

Answer:

35/5

Step-by-step explanation:

7/1 divded by 3/5. flip 3/5 to its reciprocal so it becomes 5/3, then times 7/1 by 5/3

Answer:  1170 miles

Work Shown:

(18 miles)/(1 gallon) = (x miles)/(65 gallons)

18/1 = x/65

x/65 = 18

x = 65*18

x = 1170

Answer: 1170 miles

1 gallon of gas --> 18 miles

65 gallon of gas --> 18 * 65 (which is 1170 miles)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x value of M is 1 - (-3) = 4 units to the right of A

B will be another 4 units to the right of M or x = 1 + 4 = 5

y value of M is -4 - (-6) = 2 units above A

B will be another 2 units above M or y = -4 + 2 = -2

B = (5, -2)

Answer:

7½ cups of sugar

Step-by-step explanation:

2 cups of flour needs 3 cups of sugar

1 cups of flour needs 3/2=1.5 cups of sugar

1×5 cups of flour needs 1.5×5=7.5 cups of sugar=7½ cups of sugar ANS

Answer:

Negative

Step-by-step explanation:

The slope of the line is negative because when looking at the graph, you can see that the line starts in the 2nd quadrant and ends in the 4th.

[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]

Answer:

hello

Step-by-step explanation:

say hell-o

Answer:

127/100 = 1.27

1.4

1 whole and 1/3 = 1.5

Step-by-step explanation:

Hope this helps

May I get Braineist pls

Answer:

It's A bar graph but I got to see the question to be for sure but its a bar graph and it helps you  measure rates of things from numbers , months , years etc .

Step-by-step explanation:

Answer:

It is congruent to the angle F, as they are similar triangles.

Answer:

Step-by-step explanation:

You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.

You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3

You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.

If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

[tex]y=ab^x[/tex]

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]

[tex]25=ab^3[/tex]............................(1)

Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]

[tex]10=ab^8[/tex].............................(2)

Divide equation (2) by equation (1)

[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]

Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: https://brainly.com/question/12940982

[tex]\huge \bf༆ Answer ༄[/tex]

For converting radians to degree, we multiply the value in radian by [tex] \dfrac{180}{π}[/tex]

That is ~

Answer:

Step-by-step explanation:

general equation for a circle at the origin is

x² + y² = r²

if the circle center is (x₀, y₀), the formula is

(x - x₀)² + (y - y₀)² = r²

(x - 8)² + (y - 10)² = 36

From the given diagram, the following statements are true:

AB = BC

3y = 5y - 22

3y - 5y = -22

-2y = -22

y = 11

Similarly, m<DBE = 50 degrees

m<BED = 90 - m<DBE

m<BED = 90 - 50

m<BED = 40 degrees

Since BE = BC = 3y

BE = BC = 3(11) = 33

Also, 7x  - 2 = 40

7x = 40 + 2

7x = 42

x = 6

Get the measure of m<BEA

m<BEA = 7x - 2

m<BEA = 7(6) - 2

m<BEA = 40 degrees

Learn more on angles here: https://brainly.com/question/16281260

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

slope:change in x\change in y

Answer:

In "The Lottery Ticket", Chekhov develops the theme that the love of money can destroy one's satisfaction.

he must buy 24 jackets to get atheist 260 dollars

Step-by-step explanation:

(x-8)²+(y--8)²=(2)²

x²-16x+64+y²+16y+64=4

x²+y²-16x+16y+124=0

Answer:

13cm

Step-by-step explanation:

substitute values we have into the formula:

1664 = 16 x w x 8

rearrange:

1664/16×8 = w

which equals 13

Answer:

13

Step-by-step explanation: just took the test :)

Any whole number can be written as a fraction. All we do is place the number over 1.

For example, the whole number 7 is the same as the fraction 7/1.

If we wanted to multiply the whole number 7 with the fraction 2/3 then...

[tex]7 * \frac{2}{3}\\\\\frac{7}{1} * \frac{2}{3}\\\\\frac{7*2}{1*3}\\\\\frac{14}{3}\\\\[/tex]

In the jump from the second step to the third step, we multiply straight across. The numerators multiply together. The denominators multiply together. The fraction 14/3 cannot be reduced because 14 and 3 don't have any factors in common other than 1.

Answer:

Step-by-step explanation:

The supplement of 102 = 180 - 102 = 78

It is the interior angle of the given exterior angle.

It is also the enclosed angle of the isosceles triangle

Each of the other two angles = y

180 = 2*y + 78              Subtract 78 from both sides

180 - 78 = 2y                Combine

102 = 2y                       Divide by 2

102 / 2 = y    

51 = y

The smaller triangle on your right has  2 equal sides that are marked.

The angle you just found = <2 and the vertically opposite angle of the 51

So <2 = 51

Answer: 72

Step-by-step explanation:

0.11*a = 12

0.66*a = ?

Hint: We don't need to find a to answer this question! Just find the relationship with these equations.

0.66*a = 6*(0.11*a) = 6*12 = 72