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stepladder [879]
3 years ago
13

A car servicing station is running a special offer. The breakdown of the cost for different services is given below.

Mathematics
2 answers:
Ivahew [28]3 years ago
7 0

Answer: The total cost of the meme worship fee and the tire pressure check for 12 months.

Step-by-step explanation:

Let n be the number of cars .

Given: The breakdown of the cost for different services is given below.

Membership Fee: $50 (one-time cost)  → constant

Air Freshener Cost: $4 per car per month

⇒ Air Freshener Cost for 12 months per car =4\times12\times n=48n

Washing Cost: $10 per car per month  

⇒ Washing Cost for 12 months=10\times12\times n=120n

Tire Replacement Cost: $400 per car

⇒ Tire Replacement Cost for n car=400n

Tire Pressure Check Cost: $15 per month

⇒ Tire Pressure Check Cost for 12 months=15\times12=\$180 → constant

Now, the total cost for 12 months of this service for n cars is given by the expression.

50+48n+120n+400n+180\\=48n+400n+120n+50+180\\=568n+230

Here the sum of constants =180+50=230 represents the the total cost of the meme worship fee and the tire pressure check for 12 months.

ohaa [14]3 years ago
3 0

Answer:

C. It is the total cost of the membership fee and the tire pressure check for 12 months.

Step-by-step explanation:

The constant represents the sum of costs that are <em>not</em> "per car." Those are only "membership fee" ($50) and "tire pressure check" ($15/mo × 12 mo = $180).

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Triangle XYZ is shown on the coordinate grid.
dmitriy555 [2]

Answer:

XY measures √26units.

XYZ is an isosceles triangle.

XYZ is a right triangle.

Step-by-step explanation:

The given triangle has vertices X(-1,5),Y(4,4),(-2,0)


We now apply the distance formula to find the length of all sides to obtain;

|XY|=\sqrt{(4--1)^2+(4-5)^2}


|XY|=\sqrt{(4+1)^2+(4-5)^2}


|XY|=\sqrt{5^2+(-1)^2}


|XY|=\sqrt{25+1}


|XY|=\sqrt{26}


The length of YZ is


|YZ|=\sqrt{(4--2)^2+(4-0)^2}


|YZ|=\sqrt{(4+2)^2+(4-0)^2}


|YZ|=\sqrt{6^2+(4)^2}


|YZ|=\sqrt{36+16}


|YZ|=\sqrt{52}


The length of ZX is


|ZX|=\sqrt{(-2--1)^2+(0-5)^2}


|ZX|=\sqrt{(-2+1)^2+(0-5)^2}


|ZX|=\sqrt{(-1)^2+(-5)^2}


|ZX|=\sqrt{1+25}


|ZX|=\sqrt{26}


Since

|XY|=\sqrt{26}=|ZX|


The triangle is isosceles.


Slope of XZ

\frac{5-0}{-1--2}=\frac{5}{1} =5


Slope of XY

=\frac{4-5}{4--1}=-\frac{1}{5}


Since

\frac{-1}{5}\times 5=-1


The triangle is a right angle triangle.






3 0
3 years ago
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xxMikexx [17]

Answer:

4/3 =a

Step-by-step explanation:

10 − 3(2a − 1) = 3a + 1

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10 -6a +3 = 3a+1

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13 -6a = 3a+1

Add 6a to each side

13-6a+6a = 3a+6a +1

13 = 9a+1

Subtract 1 from each side

13-1 = 9a+1-1

12 = 9a

Divide by 9

12/9 = 9a/9

4/3 =a

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Answer:

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What is the volume of a cone with a radius of 2 and a height of 19?
olga55 [171]

Answer:

79.59 units ³

Step-by-step explanation:

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