Step by Step If 35% of a number is 40, what is the number?

Identify the GCF of 9a^4b^4-27a^3b^3+18a^3b^2

hoa [83]

Hello,

To solve, factour out the expression: 9a^4b^4-27a^3b^3+18a^3b^2.

Once factoured out you get the GCF 9a^(3)b^(2)

Faith xoxo

3 0

3 years ago

Cari owns a horse farm and a horse trailer than can transport up to 8000 pounds of livestock and tack. She travels with 5 horses

tatuchka [14]

In order to find out the answer for this, let us try to analyze the question. Since it is given that 6240 pounds is the total weight of her 5 horses and t represents the weight of each tack per horse, the inequality that could be used to determine the weight of tack Cari can allow for each horse would be this: 6240+5t≤8000
6240+5t indicates the total weight, and that this weight does not exceed 8000. Hope this answer helps.

7 0

3 years ago

The volume of a cylinder is 156 x cm3. What is the volume of a cone with the same base and height as the cylinder?

Flura [38]

Answer: SECOND OPTION (52 cm³)

Step-by-step explanation:

The formula for calculate the volume of a cone is:

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

Where r is the radius and h is the height.

The formula for calculate the volume of a cylinder is:

$V{cy}=r^{2}h\pi$

Where r is the radius and h is the height.

As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cylinder and you know that the cone has the same base and height as the cylinder, you have to divide the volume of the cylinder by 3 to obtain the volume of the cone.

Therefore, the result is:

$V{co}=\frac{156cm^3}{3}=52cm^3$