AP CAl AB!!!!!HELP!!!!!!!!

ohaa [14]

Find the Greatest Common Factor (GCF)
of 48 and 3

GCF = 3

We can reduce the fraction by dividing
the numerator and denominator by 3

48 ÷ 33 ÷ 3=161

Dividing 16 by 1 we get

=16

7 0

3 years ago

Read 2 more answers

Factor the expression using GCF 8 - 22

N76 [4]

2 is the greatest common factor. Neither 4 nor 8 divides into 8-22 without a remainder.

Thus, 8 - 22 = 2(4 -11) (answer)

7 0

3 years ago

How do you solve: 18(18)=x(x+15)

ehidna [41]

Hello!

$18(18)=x(x+15)$

The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property: $a(b + c) = ab + ac$ . Let's do that.

$18(18)=x(x+15)$
$324= x^{2} +15x$

Now, you can subtract 324 from each side to set the equation equal to 0.

$324= x^{2} +15x$
$324-324= x^{2} +15x-324$
$0= x^{2} +15x-324$

This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...

27 - 12 = 15
27 * -12 = -324

The factored polynomial is: (x + 27)(x - 12).

To find its solutions, set the factors equal to 0 and solve for x.

x + 27 = 0
x = -27

x - 12 = 0
x = 12

Answer:
The solution of $18(18)=x(x+15)$ is -27 and 12.

7 0

4 years ago

kali runs 10 laps around a track each day. Each lap around the track is 400 meters. How many will it take kali to run a total of

Flauer [41]

Answer:

3 days

Step-by-step explanation:

Kali runs 10 laps around a track each day, and each lap is 400 meters. So, the first step would be:

10 • 400 = 4,000

That means Kali runs 4,000 meters each day.

Now, there are 1,000 meters in 1 kilometer. This means he runs 4 kilometers each day, and we're trying to get to 12 kilometers.

The final step is to divide. 12/4 = 3

So, it would take 3 days for him to run a total of 12 kilometers.

6 0

2 years ago

A cup manufacturing company makes small and large snow cone cups with the dimensions shown in the diagram. Which statement

hoa [83]

C) The volume of the large cone is 3 times the volume of the small cone.

Step-by-step explanation:

Step 1:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius of the large cone is 1.5 inches and the height is 4 inches.

The volume of the larger cone $= \frac{\pi r^{2} h}{3} = \frac{(3.1415)(1.5^{2} )(4)}{3} = \frac{28.2735}{3} = 9.4245.$

So the volume of the larger cone is 9.4245 cubic inches.

Step 2:

Now, we determine the volume of the small cone.

The radius of the small cone is 1 inch and the height is 3 inches.

The volume of the small cone $= \frac{\pi r^{2} h}{3} = \frac{(3.1415)(1^{2} )(3)}{3} = \frac{9.4245}{3} = 3.1415.$

So the volume of the smaller cone is 3.1415 cubic inches.

Step 3:

Now we divide the values on the volume of the large cone by the volume of the small cone.

The volume of the large cone by the volume of the small cone $= \frac{9.4245}{3.1415} = 3.$

So the volume of the large cone is 3 times the volume of the small cone which is option C.

8 0

4 years ago