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prisoha [69]
2 years ago
10

Is 5x - 7 + 3x and 3x = 7 + 5x equivalent

Mathematics
1 answer:
GrogVix [38]2 years ago
8 0

Answer:No

Step-by-step explanation:

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap
11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

\dfrac{dV}{dt}=20$ ft^3/min

\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}

\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}

Therefore: \dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0
3 years ago
Which expression is equivalent to 2(x + 7) - 2(9x - 0.4)?
Black_prince [1.1K]

Answer:

-16x+14.8

Step-by-step explanation:

2(x+7)-2(9x-0.4)

2x+14-18x+0.8

-2x+14-18x+0.8

14-16x+0.8

14+0.8-16x

14.8+-16x

8 0
3 years ago
Which integers are closest to 41
Jobisdone [24]

Answer:

the answer is 40

Step-by-step explanation:

because when you estimate 1 it will give you zero for example from 1234=0 56789 =1 so 1=to zero so the answer is 40

7 0
3 years ago
If Sarah is planning a trip to an amusement park, and 410 people are going, how many buses are needed to transport everyone if 4
ladessa [460]

Answer: <u>11.</u>

Step-by-step explanation: All you'd have to do in order to achieve this answer is by dividing 410 by 40 which gives you the answer of 10.25. In order to fit everyone they'll need a rounded number of buses; equalling 11.

3 0
3 years ago
Read 2 more answers
The school gym can hold 650 people. A permanent bleacher in the gymn holds 136 people. The event organizers are setting up 25 ro
igomit [66]
650 -136=514
514 divided by 25 = 20.56
So it would be 21
This will give you a little extra chairs but they have to be equal in each row
3 0
3 years ago
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