Mr. Wilk is a high school math teacher whose salaryis $33,660 for this school year, which has 180 days.In Mr. Wilk’s school district, substitute teachers are paid $85 per day. If Mr. Walker takes a day off without payand a substitute teacher is paid to teach his classes. How much less does the school district pay in salary by payinga substitute teacher instead of Mr. Wilk for this particukar day?

Answers

Answer 1
Answer: Mr. Wilk's salary for 180 days = $33,660
Mr. Wilk's salary for 1 day = $?
By unitary method:
             Days                            Salary
               180                           $33,660
                1                                  ?
By cross-multiplication:
1*33660/180
33660/180 = $187
Mr. Wilk's salary per day = $187
Substitute teacher's salary per day = $85
Difference in salary  = 187-85
                              =  $102
The school district pays $102 less to the substitute teacher.

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Answers

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Factor this expression completely. 8r6 + 27s12

Answers

The factor of the expression 8r⁶ + 27s¹² can be (2r²+3s⁴)(4r⁴-6r²s⁴+9s⁸) after using the identity a³+b³ = (a+b)(a²-ab+b²).

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

= 8r⁶ + 27s¹²

The above expression can be written as:

8r⁶ + 27s¹² = (2r²)³+(3s⁴)³

After applying the identity:

a³+b³ = (a+b)(a²-ab+b²)

= (2r²+3s⁴)(4r⁴-6r²s⁴+9s⁸)

Thus, the factor of the expression 8r⁶ + 27s¹² can be (2r²+3s⁴)(4r⁴-6r²s⁴+9s⁸) after using the identity a³+b³ = (a+b)(a²-ab+b²).

Learn more about the expression here:

brainly.com/question/14083225

#SPJ5

Answer:

a^3+b^3=(a+b)(a²-ab+b²)

8r^6+27s^12=(2r²)^3+(3s^4)^3=(2r²+3s^4)(4r^4-6r²*s^4+9s^8)

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Answers

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Answers

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Answers

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One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 215, find the numbers.

Answers

Answer:

23, 69 and 123

Step-by-step explanation:

let the first number be x then the second number is 3x ( 3 times the first) and the third number is x + 100 ( 100 more than the first number)

The sum of the three numbers is

x + 3x + x + 100 = 215

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The 3 numbers are

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