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4 years ago

Apply the distributive property to create an equivalent expression. 4(x-2+y)= Help ASAP

Mathematics

2 answers:

tankabanditka [31]4 years ago

7 0

Answer:

4x-8+4y

Step-by-step explanation:

When you distribute the 4, it becomes 4x-8+4y, and this statement is equivalent to 4(x-2+y)

Rina8888 [55]4 years ago

6 0

4(x - 2 + y)

= 4x - 8 + 8y

= 4x + 8y - 8

Happy to help!

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You and your friend drive toward each other. The equation 50h = 190 – 45h represents the number h of hours until you and your fr

Evgesh-ka [11]

Answer:

C. 2 hours

Step-by-step explanation:

50h= 190-45h

50h + 45h = 190

95h = 190.

190÷95= 2h

8 0

3 years ago

Evaluate. 8d - 4 / 3 + c. when d = 5 and c = 6.

Lady bird [3.3K]

replace the values for the letters than follow order of operations:

8(5) - 4/3 + 6 =

40-1 1/3 +6

38.67+6 = 44 2/3

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4 years ago

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,

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

6 0

3 years ago

If 12 men are needed to run 4 machines. How many men are needed to run 20

Harrizon [31]

Answer:

Step-by-step explanation:

If 12 men are needed to run 4 machines. How many men are needed to run 20

we can solve with an equation

12 : 4 = x : 20

x = 12 * 20 : 4

x = 240 : 4

x = 60

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

check

12 : 4 = 60 : 20

3 = 3

the answer is good

5 0

2 years ago

Line segment AB is divided by point C in the ratio of 3:2. Point A is at (-4, -3) and point C is at (0.2, 1.2). Find the coordin

RideAnS [48]

Answer: okay i found it. it should be on the picture.

Step-by-step explanation:

4 0

3 years ago