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nordsb [41]
3 years ago
7

In 2 mins., a conveyor belt moves 300 lbs. Of recycle aluminum from delivery truck to a storage area. A smaller belt moves the s

ame quantity of cans the same distance in 18 mins. If both belts are used, find how long it takes to move the cans to the storage area
Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0

Answer:

1.8 minutes or 108 seconds

Step-by-step explanation:

The question tells us that the larger belt moves 300 lbs in 2 mins. And this is equal to 150 lb per minute

The question also tells us that a smaller belt moves the same quantity of 300 lbs in 18 mins. And this is equal to an average of 16.667 lb per min.

Both belts will move at a rate of 166.667 lb per min.

So it will take them 300 / 166.667 = 1.8 min or 108 s.

Therefore, the answer is 1.8 min

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Write an equation of the line shown. Then use the equation to find the value of x when y = 150​
Ymorist [56]

Answer:

y = 10x + 30

x = 12

Step-by-step explanation:

The slope-intercept form formula, y = mx + b, can be used to write an equation for the line.

Where,

m = slope = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.

Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).

m = \frac{y_2 - y_1}{x_2 - x_1}

Let,

(0, 30) = (x_1, y_1)

(3, 60) = (x_2, y_2)

m = \frac{60 - 30}{3 - 0}

m = \frac{30}{3}

m = 10

y-intercept of the line, b = 30

Equation for the line would be:

y = 10x + 30

Using the equation, find x when y = 150.

Simply substitute the value for y in the equation to find x.

150 = 10x + 30

Subtract 30 from both sides

150 - 30 = 10x + 30 - 30

120 = 10x

Divide both sides by 10

\frac{120}{10} = \frac{10x}{10}

12 = x

x = 12

3 0
3 years ago
write an equation that can be used to find the area A of a rectangular rug whose sides are 5 feet long and x feet long
yaroslaw [1]
Formula for finding the area of a rectangle: A = L * W

We know one of the lengths is 5 feet.

So, A = 5x is the answer.
4 0
3 years ago
Read 2 more answers
alls arrive at a call center at an average rate of 100/min. Depending on the availability of a service representative, calls may
NISA [10]

Answer:

the number of callers on average are in the system at any given time is 440

Step-by-step explanation:

Given that

The calls that arrive in a call center have an average rate of 100 per min

But it we involve the waiting time so the call needed 4.4 minutes

We need to to find no of callers are in the system at any given time

SO,

= 100 per min × 4.4

= 440

hence, the number of callers on average are in the system at any given time is 440

The same would be considered

5 0
3 years ago
Multiply 60 x 0.75. Please help me.
Rasek [7]

The answer to 60 x 0.75 is 45

5 0
3 years ago
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What is an equation of the line that passes through the points (-6, -2) and (-3,2)​
Fantom [35]
Y=1 1/3x + 6

Slope = y2-y1/x2-x1
2- -2 = 4
-3 - -6 = 3
4/3 = 1 1/3
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