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3 years ago

14

How much do you need to subtract from 31/6 to make 5

1 answer:

matrenka [14]3 years ago

6 0

Answer:

1/6

3/10

1 7/8

1 6/7

1 5/9

should be anyway

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The monthly dues for a premium membership is $15 more than the cost of a standard membership. The premium membership cost $40 pe

77julia77 [94]

40.00 for premium - 15.00 more than standard
40-15=35.00 for standard

4 0

3 years ago

Using the distributive property rewrite 2x + 16 as a product of two factors

tresset_1 [31]

2(x + 8)
Factor out the 2

5 0

3 years ago

I need some help and can you please show your work? Thank you have a good day

SVEN [57.7K]

$1.75

If 4 lemons altogether cost $7, you want to divide the price by 4 to find the price for one single lemon.

7/4 = $1.75

Now if you buy 4 lemons that cost $1.75, your total will add up to $7

3 0

3 years ago

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi

storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

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

Differentiate the equation with respect to time t, such that

$\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)$

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)$

To differentiate the product,

Let r² = u, so that

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)$

Then, using product rule

$\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]$

Since $u = r^{2}$

Then, $\frac{du}{dr} = 2r$

Using the Chain's rule

$\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}$

∴ $\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]$

Then,

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

Now,

From the question

$\frac{dr}{dt} = 7 m/min$

$\frac{dV}{dt} = 236 m^{3}/min$

At the instant when $r = 99 m$

and $V = 180 m^{3}$

We will determine the value of h, using

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

$180 = \frac{1}{3}\pi (99)^{2}h$

$180 \times 3 = 9801\pi h$

$h =\frac{540}{9801\pi }$

$h =\frac{20}{363\pi }$

Now, Putting the parameters into the equation

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

$236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]$

$236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]$

$708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}$

$708 = 30790.75 \frac{dh}{dt} + 76.36$

$708 - 76.36 = 30790.75\frac{dh}{dt}$

$631.64 = 30790.75\frac{dh}{dt}$

$\frac{dh}{dt}= \frac{631.64}{30790.75}$

$\frac{dh}{dt} = 0.021 m/min$

Hence, the rate of change of the height is 0.021 meters per minute.

3 0

3 years ago

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

Lady bird [3.3K]

Answer:

Step-by-step explanation:

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

find the value of x

x + 2x + x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 : 4

x = 43

find angles

2x = 43 * 2

2x = 86°

-------

x = 43°

--------

x + 8 = 43 + 8

x = 51°

-----------------------

check

86 + 43 + 51 = 180°

the answer is good

6 0

2 years ago