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torisob [31]
3 years ago
15

Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get

700. What is the number?
Mathematics
1 answer:
Dima020 [189]3 years ago
6 0
The answer to your question would be 6.25 and the equation you need to solve is: (0.8x+2)/0.01=700. 

                         Hope this helps!
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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate
Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}

Volume of cone =

V = \dfrac{1}{3}\pi r^2 h

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})

Putting values, we get,

\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0
3 years ago
A sweater is originally $25 and is on sale for $19. What is the percent off of the sweater?
True [87]

Answer:

24%

Step-by-step explanation:

5 0
3 years ago
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Choose the system of inequalities that best matches the graph below.<br><br> Will Mark Brainlest
Ira Lisetskai [31]

it is c.

Step-by-step explanation:

your y is -4 and you are rising 4times and running 1.

5 0
3 years ago
Highest Common Factor of 27 and 36.
QveST [7]

Answer:

9

Step-by-step explanation:

listing the factors

27 : 1, 3, 9, 27

36 : 1, 2, 3, 4, 9, 12, 18, 36

the common factors are 1, 3, 9

the highest common factor is 9

8 0
1 year ago
Read 2 more answers
Can anyone help please?
eduard

Answer:

2x+y=5.

Step-by-step explanation:

slope(m)=-2

passed through point (0,5)=(x1,y1)

then

the equation is

(y-y1)=m(x-x1)

or (y-5)=-2(x-0)

or (y-5)=-2x

or 2x+y=5 is the equation.

4 0
3 years ago
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