All categories

3 years ago

What are the LCM of 24 and 30?

Mathematics

2 answers:

Alla [95]3 years ago

8 0

The LCM of 24 and 30 is 120.

bogdanovich [222]3 years ago

3 0

Answer:

120

Step-by-step explanation:

You might be interested in

A typical sugar cube has an edge length of 1.00 cm. Imagine you have a cubical box that contains a mole of sugar cubes, perfectl

alisha [4.7K]

Answer:

844368.7 m

Step-by-step explanation:

We are given that a typical sugar cube has an edge length of 1.00 cm.

We have to find the edge length of the box in meters.

Edge length of sugar cube=1 cm = $10^{-2}m$ ( $1 cm=\frac{1}{100}m$ )

Volume of a sugar cube= $side\times side\time side=(10^{-2})^3=10^{-6}m^3$

1 mole of sugar= $6.02\times 10^{23}units$

Volume of 1 unit= $10^{-6} m^3$

Volume of $6.02\times 10^{23}$ units= $6.02\times10^{23}\times 10^{-6}=6.02\times 10^{17} m^3$

Volume of box=1 mole of sugar= $6.02\times 10^{17} m^3$

Edge length of box= $\sqrt[3]{6.02\times 10^{17}}=844368.7 m$

6 0

2 years ago

Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than

Art [367]

Answer:

0.13093

Step-by-step explanation:

Give. That :

Population mean = 40% = 0.4

Sample size (n) = 64

Probability that more than 30 have computer at home

Mean = np = 64 * 0.4 = 25.6

Standard deviation = sqrt(n*p*(1-p)) = 3.919

P(x > 30)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (30 - 25.6) / 3.919 = 1.1227353

p(Z < 1.122) = 0.13093 ( Z probability calculator)

6 0

2 years ago

Solve the equation by clearing the decimals: 0.8x -0.3 = 0.7x + 0.2

Mashutka [201]

Answer:

x = 5

Step-by-step explanation:

0.8x - 0.3 - 0.7x = 0.2

0.8x - 0.7x = 0.2 + 0.3

0.1x = 0.2 + 0.3

0.1x = 0.5

5 0

2 years ago

Easy variable question pls help

svet-max [94.6K]

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

$\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})$

2. Simplify

$\frac{32}{5(2z-1)} = \frac{8}{3z+1}$

3. Cross multiply

$32(3z+1) = 5(2z-1) * 8$

4. Simplify again (distributive property)

$32(3z+1) = 40(2z-1)$

5. Distributive property

$32(3z+1) -> 96z+32$

$40(2z-1) -> 80z-40$

$96z+32=80z-40$

6. Subtract 32 from both sides

$96z+32-32 = 80z-40-32$

7. Simplify

$96z = 80z-72$

8. Subtract 80 from both sides

$96z-80z=80z-72-80z$

9. Simplify

$16z=-72$

10. Divide both sides by 16

$\frac{16z}{16}=\frac{-72}{16}$

11. Simplify

$z=-\frac{9}{2} -> also = -4\frac{1}{2}$

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

7 0

2 years ago

Distributive Property

algol13

1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)
X = 4
2. 6 • 45 = 270
a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270
b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210
c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270
A. 270, C. 270
3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n
B. 11m + 4n
4. 2y^3 - 4y^2 + y + y^3, exponents tell you what are like terms
C. 2y^3 and y^3
5. 4x^3 - 3x^2 + x + 3x^3, combine like terms, then put in descending order
D. 7x^3 - 3x^2 + x

4 0

2 years ago