All categories

3 years ago

Divide 5 in a ratio of 1:2:3

1 answer:

4 0

In plain and short, we simply divide 5 by (1+2+3) and then distribute the pieces likewise

$\bf 5\qquad 1:2:3\qquad \cfrac{5}{1+2+3}\implies \cfrac{5}{6}
\\\\\\
\stackrel{\textit{ratio of 1}}{1\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 2}}{2\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 3}}{3\left( \frac{5}{6} \right)}\qquad \implies \qquad \frac{5}{6}~:~\frac{5}{3}~:~\frac{5}{2}$

add the ratios up, and you'll get 5.

You might be interested in

A rental company charges $15 plus $4 per hour to rent a bicycle. if margie does not want to spend more than $27 for her rental,

Romashka-Z-Leto [24]

19 per hour
27 dollars max

1 hour and 42 minutes she can rent it.

7 0

3 years ago

Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t

sladkih [1.3K]

Answer:

$A_L=1.75$

Step-by-step explanation:

We are given:

$f(x)=x^2$

$interval = [a,b] = [0,2]$

Since $n = 4$ ⇒ $\Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}$

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

$A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75$

Note:

If it will be asked to find right endpoint too,

$A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75$

The average of left and right endpoint Riemann sums will give approximate result of the area under $f(x)=x^2$ and it can be compared with the result of integral of the same function in the interval given.

So, $(A_R+A_L)/2 = (1.75+3.75)/2=2.25$

$\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67$

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

3 0

3 years ago

Simplify: −2[−3(x − 2y) + 4y]. <br> thanks!

Neporo4naja [7]

Answer:

6x − 20y

Step-by-step explanation:

−2[−3(x − 2y) + 4y] =

= −2[−3x + 6y + 4y]

= −2[−3x + 10y]

= 6x − 20y

5 0

3 years ago

Read 2 more answers

What's the circumference of a

Vlada [557]

Answer: C = 97.34 inches

Step-by-step explanation:

C = πd

= 3.14(31)

= 97.34

5 0

2 years ago

If two parallel planes are cut by a third plane, the lines of intersection are parallel

-BARSIC- [3]

Answer:

True

Step-by-step explanation:

7 0

3 years ago