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3 years ago

Will mark as Brainliest.

Mathematics

2 answers:

rusak2 [61]3 years ago

8 0

5/7 I the most likely

in all/favroitable ammount

Inga [223]3 years ago

7 0

5/7 would be defective because 5 out of 7 of them dont work.

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The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is

liraira [26]

we know that

The LCD is the LCM (least common multiple) of all the denominators.

we have

$1/3, 3/4, 5/32, 8/9$

$3=3^{1} \\ 4=2^{2} \\ 32=2^{5} \\ 9=3^{2}$

$LCM=2^{5} *3^{2} \\ LCM=32*9\\ LCM=288$

The LCM of $3, 4, 32, 9$ is $288$ ,

which is the multiple of the highest power of prime factors from all of the given numbers

therefore

the answer is

$288$

8 0

3 years ago

Read 2 more answers

Find the slope of the line through the pair of points (-4,12) , (-4,11)

Hoochie [10]

Answer:

Pretty sure its undefined

Step-by-step explanation:

5 0

3 years ago

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is 140 and the length is 10 more than four times the width. find the dimensions

aalyn [17]

Answer:

Width = 12

Length = 58

Step-by-step explanation:

Width = x

Length = 4x + 10

Perimeter = 140

2 * ( length + width ) = 140

2 * (4x +10 + x) = 140

5x + 10 = 140/2 = 70

5x = 70- 10

5x = 60

x = 60/5 = 12

Width = 12

Length = 4 * 12 + 10 = 48 +10 = 58

7 0

3 years ago

Read 2 more answers

Among all pairs of numbers whose difference is 6, find a pair whose product is as small as possible. What is the minimum produc

mixas84 [53]

Answer:

pairs of numbers is 3,-3

Step-by-step explanation:

The computation is shown below:

Let us assume a and b are the pairs of the numbers whose difference is 6

i.e.

a - b = 6

a = 6 + b

f = ab

f = (6 + b)b is minimum

Now

d ÷ db (6+ b)b = 0

(6+ b) + b = 0

2b = -6

b = -3

Now

a = 6 + b

= 3

So pairs of numbers is 3,-3

6 0

3 years ago