MATHEMATICS HIGH SCHOOL

1/5 times 3/4 times 5/7 in simplest form

Answers

Answer 1
Answer:

The equivalent value of the fraction is A = 3/28

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p = 1/5

Let the second fraction be q = 3/4

Let the third fraction be r = 5/7

Now , A = pqr

On simplifying the equation , we get

where A = ( 1/5 ) ( 3/4 ) ( 5/7 )

A = ( 1 x 3 x 5 ) / ( 5 x 4 x 7 )

A = 15/140

On further simplification , we get

A = 3/28

So , the left hand side of the equation is equated to the right hand side by the value of 3/28

Therefore , the value of A = 3/28

Hence , the fraction is A = 3/28

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Answer 2
Answer:

the answer is going to be 3/28 :  )

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Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)
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What's the value of X

Answers

(x+1)^2 -(x-1)^2 = 32 \n \nx^2+2x+1 -(x^2-2x+1)=32\n \nx^2+2x+1-x^2+2x-1=32\n \n 4x =32\ \ / :4 \n \nx=(32)/(4)\n \nx=8
All the busy-work is on the left side.

1). Take care of the (x+1)² . . .

(x + 1)² = x² + 2x + 1

2).  Take care of the (x-1)² . . .

(x - 1)² = x² - 2x + 1

The problem says that (the first expression) minus (the second expression) is 32 .

(x² + 2x + 1) - (x² - 2x + 1) = 32

Can you handle this ?
Only one more touchy point to take care of . . . removing the second parentheses.
Since there's a negative sign before it, that changes the sign of everything inside:

(x² + 2x + 1) PLUS (- x² + 2x - 1) = 32

Now you can just erase all the parentheses:

x² + 2x + 1   -  x² + 2x - 1 = 32

Now I'm just going to write the things on the left side in a different order,
without changing anything:

x² - x²     + 2x + 2x        + 1 - 1 = 32

Isn't that neat ? ! ?
What you have now is:

4x = 32

Divide each side by 4 :

x = 8


Just watch how slick that works:

(x + 1)² - (x - 1)² = ?

(x + 1) = 9      (x - 1) = 7

(9)² - (7)² = 81 - 49 = . . . . . . . . 32 !

спасибо
Удачи

Find the height of the pole if the shadow of a boy 6 ft. tall is 3 ft. and the shadow of the pole is 2 1/3 yards.

Answers

The height of the pole in yards would be 4 2/3yds, and it's height in feet would be 14ft.

hope this helped :)

Which set of values could be the side lengths of a 30-60-90 triangle? A. {4, 4 square root of 3, 8} B. {4, 4 square root of 2, 8 square root of 2} C. {4, 4 square root of 2, 8} D. {4, 4 square root of 3, 8 square root of 3}

Answers

Your answer is A.

When you have a 30-60-90 triangle, your sides will always have a set pattern. 

The side across from the 30 angle will be equal to n (in this case n = 4).

The side across from the 60 angle will always be equal to n√(3) (in this case, 4√(3)).

The side across from the 90 angle will always be 2n (in this case, 8).

You could go into trig or pythagorean theorem to prove this, but it's much simpler to remember it because it's a special triangle. 

So, you're answer is A.

Answer:

Your answer is going to be letter A

Step-by-step explanation:

Apex

Let f(x)=-4x+7 and g(x)=10x-6. Find f(g(x))

Answers

\bf \begin{cases}f(x)=-4x+7\ng(x)=10x-6\end{cases}\qquad \qquad f(~~g(x)~~)=-4[g(x)]+7\n\n\nf(~~g(x)~~)=-4[10x-6]+7\implies f(~~g(x)~~)=-40x+24+7\n\n\nf(~~g(x)~~)=-40x+31

Write an equation of the line with a slope of 2/3
an
and y-intercept of -8.

Answers