Which problem shows how many groups of 9 are in 45?

Margaret [11]

Answer:

Step-by-step explanation:

Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is

$A_n=a_1(r)^{n-1$ where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then

a1 = 2 and r = 3. Therefore, the explicit formula is

$A_n=2(3)^{n-1$ and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.

6 0

3 years ago

Write the inequality. A number n is negative.

hoa [83]

Answer:

n < 0

Step-by-step explanation:

A negative number is one that is less than zero.

n < 0

5 0

3 years ago

The total surface area of a cube is 96cm2, find its volume.

Setler [38]

Answer:

$\huge\boxed{V=64cm^3}$

Step-by-step explanation:

The formula of a surface area of a cube:

$SA=6a^2$

The formula of a volume of a cube:

$V=a^3$

We have

$SA=96cm^2$

Calculate the edge length (<em>a</em>).

$6a^2=96$ <em>divide both sides by 6</em>

$a^2=16\to a=\sqrt{16}\\\\a=4(cm)$

Calculate the volume of a cube:

$V=4^3=64(cm^3)$

6 0

3 years ago

If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750

maksim [4K]

Answer:

$\boxed {\boxed {\sf 250 \ people}}$

Step-by-step explanation:

Let's set up a proportion using the following setup.

$\frac {buses}{people}=\frac {buses}{people}$

We know 30 buses can carry 1,500 people.

$\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}$

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.

$\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}$

$\frac {30 }{1500 }=\frac {5 }{x }$

Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

$30*x=1500*5\\30x=7500$

Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.

$30x/30=7500\\x=250$

5 buses can carry 250 people.

7 0

3 years ago

your quidditch league has 5 teams. you will play a tournament next week in which every team will play every other team once. eac

Airida [17]

The fewest number of days over which the tournament can take place is 5 days.

<h3>How to calculate the number of days?</h3>

As each team plays with other team Once and we have total 5 teams so number of matches will be (4+3+2+1)

Counted as team 1 plays with all other teams = 4 matches

Team 2 plays with team 3,4,5 =3 matches

Team 3 play with team 4,5=2 match

And the last match is between team 4 and team5

Total match = 10 and can be played two matches per day:

Number of days = 10/2

= 5 days.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

8 0

1 year ago