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3 years ago

Generate Equivalent Expressions 5x + 7 + 2x

Mathematics

1 answer:

densk [106]3 years ago

4 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given

The expression is given by

5x + 7 + 2x

To determine

Generate Equivalent Expressions

Let us simplify the expression

5x + 7 + 2x

Group like terms

5x + 7 + 2x = 5x + 2x + 7

Add similar elemnents: 5x+2x=7x

= 7x + 7

Thus, the equivalent Expression of 5x + 7 + 2x is: 7x + 7

The Associative property of addition defines that the sum of three or more numbers does not change regardless of the order of the numbers.

Some other Equivalent Expressions using the Associative property of addition:

5x + 7 + 2x = 5x + 2x + 7

5x + 7 + 2x = 7 + 5x + 2x

5x + 7 + 2x = 7 + 2x + 5x

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Help me: 8x13+7x13+6x13=

MAXImum [283]

8•13=104
7•13=91
6•13=78

104+91+78=273

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3 years ago

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The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

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3 years ago

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Marrrta [24]

Answer:

Y= 0. There is two that says that so I don't know if it's A or C

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2 years ago

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elixir [45]

The answer is 6 :), I hope this helps <33!3&9/&

5 0

4 years ago

Read 2 more answers

8 is the difference of d and 3.75

maria [59]

Answer:

11.75

Step-by-step explanation:

From the question above 8 is the difference of d and 3.75

We are required to find the value of d

d-3.75= 8

d= 8 + 3.75

d= 11.75

Hence the value of d is 11.75

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3 years ago