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3 years ago

How do you solve 1/3 of 3/4 of a fraction

Mathematics

1 answer:

Trava [24]3 years ago

5 0

1 1/12

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/3, 3/4) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(13×44)+(34×33)=?

Complete the multiplication and the equation becomes

4/12+9/12=?

The two fractions now have like denominators so you can add the numerators.

Then:

4+9/12=13/12

This fraction cannot be reduced.

The fraction

13/12

is the same as

13÷12

Convert to a mixed number using

long division for 13 ÷ 12 = 1R1, so

1312=1 1/12

Therefore:

13+34=1 11/2

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Step-by-step explanation:

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The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

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We can easily see that the expression is actually a perfect square trinomial.

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3 years ago

3x+5y=-3 x-5y=-5 show your work

frez [133]

We are given the equations 3x+5y=-3 and x-5y=-5.

Both equations have a 5y term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.

3x + 5y = -3
+x - 5y = -5
---------------
4x + 0y = -8

The y terms cancel out since one is positive and one is negative. Now we can solve for x.

4x = -8

$\frac{4x}{(4)} = \frac{-8}{(4)}$

x = -2

Now plug -2 in for x in one of the original equations to find y.

(-2) - 5y = -5

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y = 3/5

Our answer as an ordered pair is (2, 3/5)

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2 years ago

What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?

Brut [27]

Answer:

p is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

m:n = 3:4

thus,

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (26/7 , y = 47/7 )

P ( x = 3.71, y = 6.71)

Thus, coordinates of point p is (3.71, 6.71) which is at 3/4 of the distance from A to B for A(2,5) and B(6,9)/

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2 years ago

The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it

ICE Princess25 [194]

Answer: a = 4

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The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

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a(x-3)(x+2)=0

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x = 3

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x = -2

So, base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, distance will be:

b = 3 - (-2)

b = 5

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5a = 10.2

a = 4

The constant a of the function y = a(x-3)(x+2) is 4.

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2 years ago