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2 years ago

Lauren was given a gift card for a coffee shop. Each morning, Lauren uses the

Mathematics

1 answer:

AnnZ [28]2 years ago

5 0

The amount of money left on the gift card, A in term of the number of cups, a Lauren has bought is represented by the equation; A = 10 - 2a.

<h3>What is the equation representing the amount of money Lauren has left after buying a number of coffee cups?</h3>

It follows from the task content that the total amount of money Lauren has initially is; $10.

Hence, since each cup of coffee costs $2.

It follows that the amount of money Lauren has left each time, A is related to the number of coffee cups bought by the equation;

A = 10 -2a. where a ranges be between 0 and 5.

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Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

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3 years ago

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Goshia [24]

Answer:

DECREASE

Step-by-step explanation:

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I dont get this. I need help

djverab [1.8K]

The model suggests the equation 3x-4 = 6-2x and the solution is x = 2.

What is equation?

In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =

Main body:

According to question,

there are 3 bars for x and 2 bars for -x so it shows

The equation becomes :

3x - 4 = 6-2x

5x = 10

x =2

Hence the solution to this equation is 2.

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Answer:

Step-by-step explanation:

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