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ella [17]
3 years ago
14

Subtract the sum of (+3) and (6-0) from (-60). The result is

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:-69

Step-by-step explanation:

The sum of +3 & (6-0)=9

-60-(+9)=-69

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Can there be more than,less than,or exactly one cup of water in a kitchen sink?
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A kitchen sink can hold approximately nine gallons of water.

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Regina owns a book store. She sold 87, 94, 91, and 84 books on the first 4 days of this week. Regina wants to have a mean of 90
andre [41]

Answer:

If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.

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2 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
jenyasd209 [6]

Answer:

x= -1/3

y= -3 1/3

Step-by-step explanation:

Make both of them into y=Mx+b form

y=-x-3

y=(-x-7)/2

Substitute the x-3 in the first equation for the y in the second one.

x-3=(-x-7)/2

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3x=-1

x=-1/3

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7 0
2 years ago
The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
Zepler [3.9K]

The volume of the hopper bin is the amount of feed in it

  • The volume of the hopper bin is 35974 cubic feet
  • The carnival tent can be filled to 85% of its volume and not exceed the weight limit

<h3>The volume of the hopper bin</h3>

The given parameters are:

  • Height of cylinder, H = 20 ft
  • Diameter of cylinder, D = 36 feet
  • Angle, θ = 52°

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

<h3>The weight limit of the hopper bin</h3>

The given parameters are:

  • Maximum weight = 500000 pounds
  • Feed weight = 22 pounds per cubic feet

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

Read more about volumes at:

brainly.com/question/3989169

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