All categories

2 years ago

What is the greatest common factor 18, 42 and 24,30 and 24,36

Mathematics

2 answers:

Ivahew [28]2 years ago

8 0

1) 6
2) 6
3) 6

All are 6

3241004551 [841]2 years ago

6 0

18 & 42: 6
24, 30: 6
24, 36: 6

Write out the factors of each number then compare the highest numbers.
ex: 1, 2, 3, 6, 9, 18 for 18
1, 2, 3, 6, 7 and so on for 42

You might be interested in

Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ

BaLLatris [955]

Answer:

$V = 11.2 cm^3$

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

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

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

$C = 2\pi r$

We have C to be 5.8cm

By substituting this value;

$5.8 = 2\pi r$

Divide through by $2\pi$

$\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}$

$r = \frac{5.8}{2\pi}$

$r = \frac{2.9}{\pi}$

Now, we can calculate the volume of the cone

By substituting $r = \frac{2.9}{\pi}$ and h = 12.5 cm;

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

$V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5$

$V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5$

$V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5$

Take $\pi$ as 3.14

$V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5$

$V = 11.15976$

$V = 11.2 cm^3$ ---- Approximated

Hence, the volume of the cone is; $V = 11.2 cm^3$

4 0

2 years ago

O find the minimum value of the quadratic expression −4x2+8x−25,

fredd [130]

Answer:

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

Step-by-step explanation:

we have

$-4x^{2}+8x-25$

This is a vertical parabola open downward

The vertex is a maximum

Find the vertex

step 1

Factor the leading coefficient -4

$-4(x^{2}-2x)-25$

step 2

Complete the square

$-4(x^{2}-2x+1-1)-25$

step 3

$-4(x^{2}-2x+1)-25+4$

$-4(x^{2}-2x+1)-21$

step 4

Rewrite as perfect squares

$-4(x-1)^{2}-21$

the vertex is the point (1,-21)

The maximum value of the quadratic equation is (1,-21)

therefore

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

5 0

2 years ago

Mitch is making birdhouses to sell. He needs to make at least $678. Each birdhouse costs $28 to make. He is selling them for $40

d1i1m1o1n [39]

Exact=56.5 rounded would be 57 because you can't make half a birdhouse.

4 0

2 years ago

Read 2 more answers

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils

LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0

2 years ago

The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they

Korvikt [17]

Answer:

Sort a list of the students into a random order, then ask the first 353535 students on the list.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers