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2 years ago

Simplify: (4 /5 + 6/ 25 ) X (8/ 9 + −8 /7 )

Mathematics

1 answer:

Westkost [7]2 years ago

6 0

Answer: -416/1575

Step-by-step explanation:

$\frac{4}{5}=\frac{20}{25} \implies \frac{4}{5}+\frac{6}{25}=\frac{26}{25}\\$

$\frac{8}{9}=\frac{56}{63}\\\\-\frac{8}{7}=-\frac{72}{63}\\\\\implies \frac{8}{9}-\frac{8}{7}=-\frac{16}{63}$

$\frac{26}{25} \times -\frac{16}{63}=-\frac{416}{1575}$

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12 hours

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3 years ago

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Reva is playing a bean-bag toss game. For each bag that misses the board, the player scores -8 points. Reva misses the board 4 t

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Answer:

The answer is -32.

Step-by-step explanation:

Since there is no detailed information given about the game or the total tosses in the question, i will assume that the game is concluded when each player has had 4 tosses.

Considering the information that Reva missed the board 4 times out of her total 4 tosses in the game and each miss results in -8 points, her total score for those 4 tosses should be -8x4 = -32.

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3 years ago

Find the value of the variable y, for which:

schepotkina [342]

The value of the variable y is $y=6$

Explanation:

The given equation is $\frac{6}{y-4}-\frac{y}{y+2}=\left(\frac{6}{y-4}\right)\left(\frac{y}{y+2}\right)$

Taking LCM on LHS of the equation, we get,

$\frac{6(y+2)-y(y-4)}{(y-4)(y+2)}=\left(\frac{6}{y-4}\right)\left(\frac{y}{y+2}\right)$

Simplifying the term on RHS of the equation, we get,

$\frac{6(y+2)-y(y-4)}{(y-4)(y+2)}=\frac{6 y}{(y-4)(y+2)}$

Since, both the sides of the equation have the same denominator, we can cancel them.

Thus, we have,

$6(y+2)-y(y-4)=6 y$

Multiplying the terms within the bracket, we get,

$6y+12-y^2-4y=6 y$

Adding the like terms, we have,

$2y+12-y^2=6 y$

Subtracting both sides by $6 y$ , we have,

$-4y+12-y^2=0$

Factoring the equation, we get,

$(y+2)(y-6)=0$

$y=-2, y=6$

The values of the variable y are $y=-2, y=6$

At the point $y=-2$ , the equation $\frac{6}{y-4}-\frac{y}{y+2}=\left(\frac{6}{y-4}\right)\left(\frac{y}{y+2}\right)$ becomes undefined.

Thus, the value of the variable y is $y=6$

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4 years ago

Write 5 x 10^6 in standard notation.

34kurt

<h2>Answer: </h2><h2>5000000</h2><h2>~</h2><h3>Since the exponent of the scientific notation is positive, move the decimal point 6 places to the right, and you'll get the answer, </h3><h3>5000000</h3><h2>~</h2>

<em>Thank you for taking the time to read this!</em>

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3 years ago

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3 years ago

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Simplify: (4 /5 + 6/ 25 ) X (8/ 9 + −8 /7 )​

Simplify: (4 /5 + 6/ 25 ) X (8/ 9 + −8 /7 )