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3 years ago

Combine the like terms to create an equivalent expression: \large{-k-(-8k)}−k−(−8k)minus, k, minus, (, minus, 8, k, )

Mathematics

1 answer:

PIT_PIT [208]3 years ago

3 0

Answer:

Step-by-step explanation:

The given expression is

$-k-(-8k)$

We need to find the simplified form of the given expression.

Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.

The given expression can be rewritten as

$-k+8k$

On combining like terms we get

$(-1+8)k$

$7k$

Therefore, the equivalent expression of the given expression is 7k.

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2 years ago

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Katyanochek1 [597]

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3 years ago

You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will

lianna [129]

Answer:

At least 98 is needed in the 5th game

Step-by-step explanation:

The missing parameters are:

$Game\ 1 = 95$

$Game\ 2 = 91$

$Game\ 3 = 77$

$Game\ 4 =89$

$Mean = 90$ at least

Required

The score in game 5 to make you advance

Mean is calculated as:

$Mean = \frac{\sum x}{n}$

So, we have:

$Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}$

$Mean = \frac{352 + Game\ 5}{5}$

The mean must be at least 90.

So, we have:

$\frac{352 + Game\ 5}{5} \ge 90$

Multiply both sides by 5

$5 * \frac{352 + Game\ 5}{5} \ge 90 * 5$

$352 + Game\ 5 \ge 450$

Make Game 5 the subject

$Game\ 5 \ge450 - 352$

$Game\ 5 \ge 98$

<em>At least 98 is needed in the 5th game</em>

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2 years ago