Identify the GCF of 12a^4b^3 + 8a^3b^2. 4a^3b^2 2a^3b 4a^2b 8a^3b^2

A farmer owns a total of 14 acres of land. The land is separated into 5 5/6 equally sized sections. How many acres are in each s

Julli [10]

Check for me, as I may be incorrect:

So we know a farmer owns 14 acres of land, and it's split into 5 5/6 equally sized sections, so we can divide 14 by 5 5/6 to get our answer:

14 ÷ 5 5/6 = 2 2/5.

There are 2 2/5 or 2.4 acres of land in each section.

7 0

3 years ago

Read 2 more answers

2x + 3y = 6 Solve for y

expeople1 [14]

Answer:

y=allsolutions

Step-by-step explanation:

7 0

3 years ago

Can you find the volume and tell me how you came up with the answer? :) thanks

umka21 [38]

Hello,

The volume of a cylinder is $\pi*R^{2}*h$ .

We have : h = 17 cm but we don't have the radius.

Therefore let's find it.
You have a rectangle triangle and one of its length is the radius of the cylinder base.

So let's apply the Pythagorean theorem.

For us : AB = 17 cm, AC = 15

AB² = AC² + BC²
17² = 15² + BC²
BC² = 17² - 15²
BC² = 289 - 225
BC² = 64
BC = √64
BC = 8 cm

Therefore the radius measures 8 cm and now we have everything to calculate the cylinder's volume.

$\pi*R^{2}*h$
$= \pi *8^2*17$ $= 3418 cm^3$ Hope it helps !

7 0

3 years ago

{3x+2y=-5 {4x-3y= -18

NemiM [27]

$\left\{\begin{array}{ccc}3x+2y=-5&|\cdot3\\4x-3y=-18&|\cdot2\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}9x+6y=-15\\8x-6y=-36\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad17x=-51\qquad|:17\\.\qquad x=-3\\\\\text{put the value of x to the first equation}\\\\3(-3)+2y=-5\\-9+2y=-5\qquad\text{add 9 to both sides}\\2y=4\qquad\text{divide both sides by 2}\\y=2\\\\Answer:\ \boxed{x=-3\ and\ y=2}$

3 0

3 years ago

The sum of 5 consecutive even numbers is 180 what is the first number in the sequence

Anit [1.1K]

First, a even number in general could be written as 2k for any k ( k is any integer number).

Let x_1, x_2, x_3, x_4, x_5 the 5 consecutive even numbers, then,

x_1 + x_2 + x_3 + x_4 + x_5 = 180. But for the first commentary, any of the x_i's are even numbers, so, are of the form 2k_i, but, they are consecutive, think about the sequence: 2,4,6,8,10, we could written as 2(1) + 2 (2) + 2(3) + 2(4) + 2(5), the numbers between (), are the k's and are consecutive, and we could write consecutive numbers as x, x+1, x+1 +1 = x+2, (x+2)+1, etc.

So, for the previous commentary, we rewrite

x_1 + x_2 + x_3 + x_4 + x_5 = 180

as

2k + 2(k+1) + 2(k+2) + 2(k+3) + 2(k+4) = 180

is equivalent to (factorizing 2)

2 [k + k+1 + k+2 +k+3 +k+4 ] = 180

(divide both sides by 2)

[k + k+1 + k+2 +k+3 +k+4 ] = 90

(simplifyng the expression)

5k+10 = 90

(substracting 10 in both sides)

5k = 80

(divide both sides by 5)

k = 16

then, the first number is x_1 = 2k = 2(16) = 32

Now, we can check, the corresponding sequence was

32 + 34 +36 +38 +40 = 180.

6 0

3 years ago