MATHEMATICS HIGH SCHOOL

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (4 points) Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points) (10 points)

Answers

Answer 1
Answer:

Answer:

Part A:

Let 'x' be the number of windows cleaned.

Let 'y' be the total cost of cleaning 'x' windows.

Company A charges $6 per window and an additional $12 as service charges. So equation becomes y=6x+12

Company B charges $5 per window and an additional $15 as service charges. So equation becomes y=5x+15

Part B :

Cost for cleaning 8 windows.

Company A = y=6(8)+12 =$60

Company B = y=5(8)+15 =$55

Company B charges less for 8 windows.

Part C:

Cost for cleaning 6 windows.

Company A = y=6(6)+12 =$48

Company B = y=5(6)+15 =$45

Money saved by using company B is 48-45=3 dollars.
Answer 2
Answer: Part A Answer: Company A: (Wx6)+12 Company B: (Wx5)+15The varible used was W because windows start with a W i chose this as the variable because it is for the certain NUMBER of windows.Part B:Company A: 8x6=48+12=$70 for 8 windows and service charges.Company B:8x5=40+15=$55 for 8 windows and service charges.Company B would charge less for 8 windows.Part C:My work for Company A: 6x6=36+12=$48 for 6 windows and service chargesMy work for Company B: 6x5=30+15=$45 for 6 windows + service charges$48-$45=$3Answer for Part C: $3 would be saved by using the services of Company B instead if Company A to clean 6 windows.

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What is the value of x log3 x=4

Answers

Answer:

x=81

Step-by-step explanation:

Rewrite log_3 (x)=4 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then log_b(x)=y is equivalent to b^y=x.

Rewrite the equation as x=3^4

Raise 3 to the power of 4 

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Write 63.63% as a fraction

Answers

Answer:

6363/10000

Step-by-step explanation:

The side lengths of a triangle are 40, 50, and 80. What are the angle measures in the triangle?a) 30°, 60°, and 90°
b) 60°, 60°, and 60°
c) 45°, 45°, and 90°
d) None of these.

Answers

i think the answer is a

How do you write the standard number 0.00009 in scientific notation?9 × 10-5
9 × 10-4
90 × 10-4
9 × 10-6

Answers

0.\underbrace{00009}\n~~~~~~~5\n\n\n0.00009 =\boxed{\bf{ 9 * 10^(-5)}}

Your answer is A.

Could someone help me with these.

Answers

#4-5, all you're doing is plugging in whatever they give you. Ex: 2(-3+2) to the 2nd power. Go to y= in the calculator and see how the graphing looks. #1-2, you can cheat a lil (lol) using your calculator, but you have to know which one's which like where the axis of symmetry, vertex, etc is.

What is the product? assume x>0 (√3x + √5) (√15x +2√30

Answers

The first step for solving this expression is to multiply the parenthesis.
√(45) x^(2) + 2√(90) x + √(75)x + 2√(150)
Simplify the first radical.
3√(5) x^(2) + 2√(90) x + √(75)x + 2√(150)
Simplify the second radical.
3√(5) x^(2) + 2X3√(10) x + √(75)x + 2√(150)
Simplify the third radical.
3√(5) x^(2) + 2X3√(10) x + 5√(3)x + 2√(150)
Simplify the final radical.
3√(5) x^(2) + 2X3√(10) x + 5√(3)x + 10√(6)
Lastly,, calculate the product of 2 × 3√(10)x to get your final answer.
3√(5) x^(2) + 6√(10) x + 5√(3)x + 10√(6)
Let me know if you have any further questions.
:)

Answer: B: 3x√5+6√10x+5√3x+10√6x

Step-by-step explanation:
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