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3 years ago

8/9 Divided by 6/9 = ? A. 17/54 B. 16/27 C. 4/3 D. 24/5

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

4/3

Step-by-step explanation:

$\frac{8}{9} \div \frac{6}{9} \\ \\ \implies \: \frac{8}{9} \times \frac{9}{6} \\ \\ \implies \: \frac{8}{1} \times \frac{1}{6} \\ \\ \implies \: {\boxed {\purple{\frac{4}{3} }}}$

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Which Is A Correct First Step For Solving This Equation? -5(4x-7)+8=3x

nordsb [41]

I'm not sure if this is a multiple choice question, so I will just solve the equation.

-5 (4x - 7) + 8 = 3x

-5 (4x + (-7)) + 8 = 3x

1. Distributive Property of Multiplication

(-5)(4x) + (-5)(-7) + 8 = 3x

2. Simplify

-20x + (-35) + 8 = 3x

3. Simplify again

-20x - 27 = 3x

4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side

-20x - 27 + 27 = 3x + 27

-20x - 3x = 3x + 27 - 3x

5. Simplify

-23x = 27

6. Divide

-23x / -23 = 27 / -23

7. Simplify

Answer:

Hope this helps!

5 0

3 years ago

Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a

Mashutka [201]

Answer:

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

Step-by-step explanation:

Given

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Required

Make the denominator equal

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Factorize the denominator

$\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}$

$\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}$

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

$\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}$

$\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}$

$\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}$

<em>The expression now have the same denominator</em>

7 0

3 years ago

write as an expression: a number that is equal to five less than b please show the working out if you can, thanks! >3

Minchanka [31]

"<span>a number that is equal to five less than b"

</span>n-a number

n = b - 5

3 0

3 years ago

Solve by Elimination/Addition<br><br> {−6x−2y=−1618x+6y=48

tia_tia [17]

Answer:

201.5x-y=-6

Step-by-step explanation:

−6x−2y=−1618x+6y=48

Collect like terms

-6x+1618x-2y-6y=-48

1612x-8y=-48

Divide through by 8

1612x/8-8y/8=-48/8

201.5x-y=-6

6 0

3 years ago

How to write a quadratic function given the roots and y intercept?

earnstyle [38]

You need to be clearer on what the "roots" are, I haven't learned that term ever, but I think I know what you mean...

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3 years ago