What is the answer to 10/12 1/2?

timama [110]

Answer: The solution is $3\frac{1}{3}$

Step-by-step explanation:

since we have given that

$\frac{2}{3}\div \frac{1}{5}$

we need to solve it using area models:

As we know that "In fractions, division is changed into multiplication by reciprocating the next term to make it possible to solve":

So, It turns into model of area "Area of rectangle "

$Area=Length\times Breadth\\\\Area=\frac{2}{3}\times \frac{5}{1}\\\\Area=\frac{10}{3}=3\frac{1}{3}$

Now, verifying by using numerical operations only.

$\frac{\frac{2}{3}}{\frac{1}{5}}\\\\=\frac{2\times 5}{3\times 1}\\\\=\frac{10}{3}\\\\=3\frac{1}{3}$

Hence, verified.

7 0

4 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

Bumek [7]

Given:

Line segment AB has one endpoint at A(0,0).

(5, 3) is 1/3 of the way from A to B.

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Suppose point P(5, 3) is 1/3 of the way from A to B.

$\dfrac{AP}{AB}=\dfrac{1}{3}$

$\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}=\dfrac{1}{3-1}=\dfrac{1}{2}$

It means, point P(5, 3) divides the segment AB in 1:2.

Section formula:

If a point divides a line segment in m:n, then

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Point P(5, 3) divides the segment AB in 1:2. Using section formula, we get

$P=\left(\dfrac{1(a)+2(0)}{1+2},\dfrac{1(b)+2(0)}{1+2}\right)$

$(5, 3)=\left(\dfrac{a}{3},\dfrac{b}{3}\right)$

On comparing both sides, we get

$\dfrac{a}{3}=5$

$a=15$

$\dfrac{b}{3}=3$

$b=9$

Therefore, the coordinates of point B are (15,9).

8 0

3 years ago

EXPLAIN YOUR WORK PLZ

trasher [3.6K]

Answer:

D

Step-by-step explanation:

It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D

4 0

3 years ago

In a class of 24 people, the ratio of women to men is 3 to 1. How many women are in the class?

ryzh [129]

Answer:

There are 18 women in the class

Step-by-step explanation:

First of all this is a ratio topic and to solve it one needs to know that ratios are fractions so to solve it we will find first the sum of the fractions which is 3+1 and =4. Fully recognising through the question that the fractions or relation of the women to the men in the classroom is in a 3:1 ratio, we should multiply the fraction with the total number of people in the class which bring forth the result as 18!

4 0

3 years ago

What affect does h = -2 have on the parent function y=1/x Graph moves 2 units up Vertical stretch by a factor of |-2| Graph move

Marat540 [252]

Y = 1/(x - -2)
y = 1/(x + 2)
I moves the graph 2 units to the left

3 0

4 years ago