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ludmilkaskok [199]
3 years ago
6

A light bulb manufacturing machine produces 72 light bulbs per minute. How much time would it take to make 5400 light bulbs?

Mathematics
1 answer:
snow_tiger [21]3 years ago
3 0
(5400 bulbs)/(72 bulbs/min) = 75 min

It would take 75 minutes for the machine to make 5400 light bulbs.
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5 0
3 years ago
Cynthia Besch wants to buy a rug for a room
77julia77 [94]

The length and width of the rug is 20 and 11 feet respectively

The given parameters;

dimension of the room = 19 ft by 28 ft

maximum area of rug she can afford = 220 ft²

For a uniform stripe of floor around the rug, then suppose the uniform excess length of the floor to removed from each dimension = y

(28-2x)(19-2x)=220

532-94x+4x^2=220

4x^2-94x+312=0

x=39/2,4

For x=39/2, dimensions are negative.

The uniform dimension of the floor to be covered by the maximum area of rug she can afford = (28 - 4×2) and (19 -2×4 ) = 20 and 11

Thus, the dimensions of the rug should be 20 feet and 11 feet

  • The area of a rectangle is length times breadth.
  • Area is the total squares cm occupied by a closed figure.

To learn more about area of a rectangle visit:

brainly.com/question/20693059

#SPJ9

6 0
1 year ago
Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
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