MATHEMATICS HIGH SCHOOL

Simplify the following expression:7x − 4y + 5z − 2x − 10y + z

5x − 14y + 6z
9x − 14y + 6z
5x − 6y + 6z
9x − 6y + 6z

Answers

Answer 1
Answer: If you would like to simplify 7x − 4y + 5z − 2x − 10y + z, you can do this using the following steps:

7x − 4y + 5z − 2x − 10y + z = 7x - 2x - 4y - 10y + 5z + z = 5x - 14y + 6z

The correct result would be 5x - 14y + 6z.

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Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18. How much did he deposit into his account?

A.
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B.
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C.
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D.
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Answers

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Bob has 3 children, the product of their age is 72, his youngest child called justice, what are their ages

Answers

I have encountered this question before. Since only the product of the ages is given, there are a lot of possible combinations.

3 kids, has a youngest child - means that the 3 kids have different ages.

I performed a prime factorization on 72.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

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Ratios equivalent to 15:6?

Answers

Answer:

5:2

Step-by-step explanation:

divide then both my 3 to get 5 for 15 and 2 for 6

Solve for x and express your answer as a logarithm.2(10^(3x) ) = 24


Simplify your answer as much as possible.


Use the following notations where necessary:

• For fractions, use the / symbol to separate numerator and denominator, like this: 42/53

• For logs with a base of 10, such as log107, just write the log without the base and place the value in parentheses, like this: log(7)

• For logs with a base other than 10, write the base after an underscore then place the value in parentheses. For example, to write log27, write it like this: log_2(7)

Answers

2\cdot10^(3x)=24\ \ \ \ |divide\ both\ sides\ by\ 2\n\n10^(3x)=12\iff\log(10^(3x))=\log(12)\n\n3x\log(10)=\log(12)\n\n3x=\log(12)\ \ \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{x=(\log(12))/(3)}\to(\log(12))/(3)=(1)/(3)\log(12)=\log\left(12^(1)/(3)\right)=\boxed{\log\sqrt[3]{12}}

Use:\n\log_ab^c=c\log_ab\n\log_aa=1\na^(1)/(n)=\sqrt[n]{a}\n-------------------\n\nAnswer:\boxed{x=(\log(12))/(3)\ other\ form\ x=\log(\sqrt[3]{12})}

In any triangle, there can be at most 1 obtuse angle. At most, how many obtuse angles can there be in an equilateral triangle?

Answers

Zero. An equilateral triangle has only 60 degree angles

A businessman has 10 employees. His salary is equal to 6 times the average of employees salaries. If the 11 of them receive a total of $64,000 in one year, what was the business mans salary that year ??  a) $4000, b) $6000, c) $24,000, d) $ 40,000, e) $44,000

Answers

business man's salary = x
employee's salary = y

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Answer: (c) $24,000
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