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Bumek [7]
2 years ago
10

A peanut company ships its product in a carton that weighs 20 oz when empty. Twenty bays ul

Mathematics
1 answer:
Otrada [13]2 years ago
8 0

The compound inequality statement for the weight of cartons that would be inspected is 630 > X > 690

Weight of empty carton = 20 oz

Acceptable range of weight per bag of peanut :

  • Lower limit = 30.5 oz
  • Upper limit = 33.5 oz

Number of peanut bags per carton = 20 bags

Therefore,

The lower limit for weight of carton after being filled will be :

  • Weight of empty carton + (20 × weight per bag)
  • 20 + (20 × 30.5) = 630 oz

The Upper limit for weight of carton after being filled will be :

  • Weight of empty carton + (20 × weight per bag)
  • 20 + (20 × 33.5) = 690 oz

Therefore, the compound inequality for the cartons that will be inspected is : 630 > X > 690

Learn more :brainly.com/question/15748955

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blondinia [14]

Answer:

57

Step-by-step explanation:

exterior angles add up to 360 so'

9x+1+5x+12+10x-37

24x-24=360

24x=384

x=16

10(16)-37

160-37

123

180-123

= 57

4 0
3 years ago
2(x-3)=2x-6 is an example of which property
Jlenok [28]

2(x-3)=2x-6 This is distributive property.

2(x-3)= 2x - 2*3 = 2x-6

7 0
3 years ago
What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,
emmainna [20.7K]

9514 1404 393

Answer:

  C.  (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

  (9, 15)

Then the translation up by 3 will give you the image coordinates ...

  (x, y) ⇒ (x, y+3)

  (9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0
3 years ago
How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

The tank hold 125 liters

=  125,000 cm^3, so:

Number of cans that could be filled = 125000/ 108 π

= 368.4.

4 0
3 years ago
Read 2 more answers
Prove that the value of the expression: 731^2−631^2 is divisible by 100
Ivanshal [37]

Answer:

Step-by-step explanation:

731² - 631² is the difference of squares.

731² - 631² = (731+631)(731-631) = 1362×100

therefore, 731² - 631² is divisible by 100

7 0
3 years ago
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