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Vladimir79 [104]
3 years ago
13

A cereal packaging machine can fill 15 oz boxes at a rate of 3 boxes every 2 minutes. Production has scheduled 600 lbs to be pro

cessed during each 8-hour shift. Approximately how many minutes of down time will the machine have during each shift?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

53.33 minutes

Step-by-step explanation:

1 lb = 16 oz

600 x 16 = 9600

600 lbs = 9600 oz every 8 hours needed

15 x 3 = 45 oz every 2 minutes produced

45 / 2 = 22.5 oz every 1 minute procuded

8 x 60 = 480 minutes in 8 hours

9600 = 22.5x   =  9600 / 22.5 = 426.67 minutes until complete

480 - 426.67 = 53.33 minutes of downtime

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marin [14]
The answers are congruent and intersecting
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3 years ago
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Find the side lengths ! help pls
sergeinik [125]

(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

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3 years ago
Inequality / Linear Systems Help - 30 points!
Sholpan [36]

They did not include the constraint for y ≤x+3 on the graph.

See attached picture with added constraint.

Using the 4 points that are given as the solution on the graph, replace t he x and Y in the original equation to solve and see which is the greater value.

Point (0,3) P = -0 +3(3) = 0+9 = 9

Point (1,4) P = -1 + 3(4) = -1 +12 = 11

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5 0
3 years ago
Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50
lina2011 [118]

Answer:

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Step-by-step explanation:

The given function that models the water level is

f(x)=3,500-225x

where x represents time in hours.

The function represents a straight line that has slope m=-225

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put x=0 into the function.

f(0)=3,500-225(0)


f(0)=3,500, hence the initial level is 3,500.


To determine the level of water in the pool after 14 hours, we put x=14 into the equation to get;

f(14)=3,500-225(14)

f(14)=3,500-3150


f(14)=350


To determine the water level after 4 hours we put x=4

f(4)=3,500-225(4)

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