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Phoenix [80]
3 years ago
14

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points ea

ch in vocabulary words question worth five points each how much of each type of question are there
Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

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Step-by-step explanation:

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2 years ago
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ryzh [129]

Answers:

i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\

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Explanation:

By definition, i = \sqrt{-1}

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Then multiply both sides by i to get i^3 = -i

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Once we reach i^4, we start the process over again.

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This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

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That remainder 1 is the exponent of the simplified term

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Similarly,

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