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Mkey [24]
3 years ago
6

Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as ser

vice charges. Company B charges $28 per mattress and an additional $15 as service charges. Part A: Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. (4 points) Part B: Which company would charge less for cleaning 4 mattresses? 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 7 mattresses?
Mathematics
1 answer:
Musya8 [376]3 years ago
5 0
I think it's :
Part A ; $30 * (x) + $13
$28 * (x) + $15
Part B ; so $30 * 4 + $13 = $133 vs.
$28 * 4 + $15 = $111 so that would mean company B Would charge the least amount.
Part C ; the difference between company a and company B prices is $22.
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Set up and solve the following using dimensional analysis.
Softa [21]
1).  Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).

      (See explanation at the bottom)

         =      (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

         =      (5400 x 1 x 1 / 12 x 5280)  (inch - foot - mile / inch - foot) 

         =          0.0852  mile  


2).  Multiply (16 week) by (7 day/week) then by (24 hour/day)
       then by (60 minute/hour) then by (60 sec/minute).

3).  Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
       and then by (1000 mm/meter)

4).  Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
      then by (1 mile/1609.3 meter).

5).  Look up how many grams in a pound  ('P')
       Look up how many mL in a gallon       ('G')

      Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)

6).  Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).


Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch).  Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out.  When you're done, if you did it correctly, the last unit you end up with will be the one you want.      
4 0
3 years ago
You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.75. Wi
Dafna1 [17]

Answer:

0.2915

Step-by-step explanation:

Let W represent water and D represent Dying probability

W = water

D = die

 

->If with water, it will die with probability 0.4

P(W & D) = 0.82 x 0.4 = 0.328

->Without water the plant will die with probability 0.75

P(W ' & D) = 0.18 x 0.75 = 0.135

Taking sum of the above values with water and without water.

P(D) = P(W & D) +  P(W ' & D) = 0.4643

P(W ' | D) = P(W ' & D) / P(D)

= 0.135 /0.463

= 0.2915 ≈ 29.15%

Thus, the probability the neighbor forgot to water is 0.2915

4 0
3 years ago
D. (30 * 4) + (8 * 2)
RideAnS [48]
30•4=120, 8•2=16. 120+16=136
7 0
3 years ago
Read 2 more answers
The LCM of 4 and 7 is _____.​
alukav5142 [94]

Answer:

21

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do I do these problems?
Novosadov [1.4K]
A midsegment is half as long as the one it's parallel to.

2. x = 16/2 = 8

3. y+4 = 6
  y = 2

4. z/2 = 15/2
  z = 15

5. (5/2)x + 4 = (6x +4)/2
  2 = x/2
  x = 4 . . . . . . matches selection b.
7 0
3 years ago
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