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Brilliant_brown [7]
3 years ago
13

Write a multiplication equation and a division equation that can be used to answer how many 3/4's are in 2

Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Given:

Two numbers \dfrac{3}{4} and 2.

To find:

How many \dfrac{3}{4}'s are in 2.

Solution:

Let x be number of \dfrac{3}{4}'s in 2.

\dfrac{3}{4}\times x=2

Divide both sides by \dfrac{3}{4}.

x=\dfrac{2}{\dfrac{3}{4}}

x=2\times \dfrac{4}{3}

x=\dfrac{8}{3}

Therefore, required multiplication equation is \dfrac{3}{4}\times x=2 and the required division equation is x=\dfrac{2}{\dfrac{3}{4}}.

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Step-by-step explanation:

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4b - 5 + (-a-3) i = 7 * 8i
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Answer:

Simplifying

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Reorder the terms:

4b + -5 + (-3 + -1a) * i = 7 + -8i

Reorder the terms for easier multiplication:

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Solving

-5 + -1ai + 4b + -3i = 7 + -8i

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1ai + 4b + 5 + -3i = 7 + 5 + -8i

Reorder the terms:

-5 + 5 + -1ai + 4b + -3i = 7 + 5 + -8i

Combine like terms: -5 + 5 = 0

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Add '-4b' to each side of the equation.

-1ai + 4b + -4b + -3i = 12 + -4b + -8i

Combine like terms: 4b + -4b = 0

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-1ai + -3i = 12 + -4b + -8i

Add '3i' to each side of the equation.

-1ai + -3i + 3i = 12 + -4b + -8i + 3i

Combine like terms: -3i + 3i = 0

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Combine like terms: -8i + 3i = -5i

-1ai = 12 + -4b + -5i

Divide each side by '-1i'.

a = -12i-1 + 4bi-1 + 5

Simplifying

a = -12i-1 + 4bi-1 + 5

Reorder the terms:

a = 5 + 4bi-1 + -12i-1

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