MATHEMATICS MIDDLE SCHOOL

Rationalize the denominator of square root of negative 49 over open parentheses 7 minus 2 i close parentheses minus open parentheses 4 plus 9 i.

Answers

Answer 1

Answer:

sqrt(-49) / [ (7-2i) - (4+9i) ]

= 7i / (3 - 11i)

= 7i (3+11i) / [ (3 - 11i) (3 + 11i) ]

= (21 i - 77) / (9 + 121) = choice (d), (-77 + 21i) / 130

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Help plz thx I'm new here

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3. 20-(5x2). The answer is 10. [20-(5x2) -> 20-10=10]
4. B (Parenthesis are needed) and C (Start with simplifying the bottom).
5. 6x(9-3). The answer is 36. [6x(9-3) -> 6x6=36]
6. 10 divided by the difference of 6 and 4.
7. B
8. (5+7)x3 -> 12x3=36

A rectangular sheet of paper had a width of 841 millimetres.Its area was 1 square metre.
What was its length to the nearest millimetre?

Answers

1 meter = 1000 millimeters

Area = length * width
A = lw

1000 = l * 841
1.19 = l

Length = 1.19 millimeters

1. two thirds of the track team ran las after practice .One fourth of the team worked out in the weight room. What fraction more of the team ran laps than worked out in the weight room.2.Eustence used 1/2 of his allowance to buy CDs. He put 1/3 le his allowance un savings.What fraction le his allowance did he use for CDs and savings.

3. lagan sold 7/8 pound of chocolate for the school fundraiser.Nathan sold 6/7 pound. How much more did lagan sello than nathan

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1.two thirds of the track team ran laps-2/3 of the track team ran laps

Find the product of this expression.
(a - 12)(a + 12) =

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Answer:

Combine like terms, a2−144

Step-by-step explanation:

You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red marbles.

Answers

Answer:

$0.76$

Step-by-step explanation:

Probability = Number of favorable outcomes / Number of possible outcomes

There are $16$ favorable outcomes ( the $8+8=16$ marables that are either blue or red).

There are $21$ possible outcomes (the $8+5+8=21$ total marables).

P (draw a blue or red marable) $= (16)/(21)$ ≈ $0.76$

Fran is going to transfer her credit card balance over to a new card. She has an existing balance of $752.69. Her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt. The new card has an opening fee of $50, which is also added to her balance. She will also have to make an immediate minimum payment, which is 3.35% of her total balance. How much will her balance be after she makes this payment, assuming that she pays the minimum amount? Round all dollar values to the nearest cent.