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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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Angle FEG is similar to triangle IHJ. Find the value of X.
Oliga [24]

Answer:

x = 14.8

Step-by-step explanation:

As these triangles are similar, every side and angle corresponds and this is key to calculating this equation.

First, look at the side that is labeled x + 8 and find the corresponding side on the other triangle. Write this out as a fraction as shown below. Now find two corresponding sides that are both marked (the base lines) and write them out as a fraction as well (note that which ever triangle you are solving for, it's numbers will go on the top of the fraction)

\frac{x + 8}{36} = \frac{38}{60}

We want to get the x by its self and at the moment it is divided by 36. To remove the 36, we need to multiply both sides of the equation by 36

36 x \frac{x + 8}{36} = \frac{38}{60} x 36

This cancels out both the 36s on the left leaving us with

x + 8 = \frac{38}{60} x 36

all that needs to happen now is to remove the +8 so we are just left with x. to do this, just subtract 8 from both sides and we are left with

x = \frac{38}{60} x 36 - 8

calculate 38 ÷ 60 x 36 - 8 = 14.8

∴ x = 14.8

I hope this was helpful and not too long :-)

5 0
3 years ago
2.) What is the value of V78 to the nearest tenth?
DENIUS [597]

Answer:

80.

Step-by-step explanation:

When multiplying if the tenth place is " 7" then we look " next door" which is the ones and 8 is great then 5 so we count to from 8 to see when the next number ending in 0 would be in this case its 80. ( if the number is 4 or less count backwards to a number ending with 0  which in that case would have been 70 ) but the answer is 80.

4 0
3 years ago
Stacy reasons that since dilations change lengths they also change angles by the same factor. Is she correct? If not, explain wh
guapka [62]

Answer:

Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.  

Step-by-step explanation:

just took the quiz :)

7 0
3 years ago
PLEASE HELP (easy)
Tju [1.3M]
SInce you are wanting to find the distance between the game store and furniture store, you will want to add 16.7 km and 18 km so that you will have the total distance between the two stores.


(Train station) 25.4 km (Game store) 16.7 km (Radio Tower) 18km (Furniture store)

34.7 km is your final answer.
6 0
3 years ago
Need help will give brainliest
SpyIntel [72]

Answer:

See below

Step-by-step explanation:

Volume of cylinder ( the pool) = pi r^2 h

                     V = pi (12^2)(4.5) =         NOTE: <u>RADIUS</u> not DIAMETER

                             2035.75  ft^3  

2035.75  ft^3  *  7.48   gal / ft^3   =   15 227.42 gals

15 227.42  gal   *   $.02 / gal =  $ 304.55 to fill

5 0
2 years ago
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