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3 years ago

15

A dodgeball tournament has teams of up to 12 each. If 580 people signed up, what is the fewest number of teams the tournament ca

n create so that everyone who signed up plays?

1 answer:

lianna [129]3 years ago

8 0

The least amount of teams that can be created is either 48 or 49 teams.

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The volume of the triangular prism is 54 cubic units.What is the value of x?

nadezda [96]

Answer:

x=3

Step-by-step explanation:

the volume of the prism with triangular base is 54 unit³

The base is a triangle with, base i.e 4 units and height i.e x units

Also, height of the prism = 3x

So, volume of the prism is,

And

,

$Area_{Triangle}=\dfrac{1}{2}\times base\times Height_{Triangle}=\dfrac{1}{2}\times 4\times x=2x\ unit^2$

Then,

$V_{Prism}=2x\times 3x=6x^2$

As the volume is given as 54 unit³, hence

6x²=54

x²=9

x=3

6 0

4 years ago

Write the Expression in standard form by expanding and combining like terms 4(8m-7n) +6(3n-4m)

Elina [12.6K]

Standard for is x × 10 ^I
where,
I = indice
10 > x < 0
you cannot write this is standard form with putting in what they stand for. However you can simplify it -

4(8m-7n) +6(3n-4m)
32m - 28n + 18n - 24m
8m - 10n

but hey I am from England do what we call standard form might be different

3 0

3 years ago

The general term for the sequence 3/4,6/5,9/6,12/7,15/8

Ronch [10]

Answer:

B . $\frac{3 n}{n+3}$

Step-by-step explanation:

<u>Arithmetic sequence</u>:-

Step1:

Given sequence is $\frac{3}{4} ,\frac{6}{5} ,\frac{9}{6} ,\frac{12}{7} ,\frac{15}{8}$

Above sequence taking numerator terms

3,6,9,12,15 are in arithmetic progression

First term a= 3 and difference d = 3

now n t h term of given sequence is

$t_{n} =a+(n-1)d$

now substitute a =3 and d=3

$t_{n} = 3+(n-1)3 = 3+3 n-3=3n$

Step2:-

Above sequence taking denominator

4,5,6,7,8...

here a=4 and d=1

$t_{n} =a+(n-1)d$

$t_{n} =4+(n-1)1$

$t_{n}=3+n$

Final answer is the general term of given sequence is

$t_{n} = \frac{3n}{3+n}$

3 0

4 years ago

F(x) = 4x^3 + 7x^2-2x-1<br><br> G(x) = 4x-2<br><br> Find (f-g)(x)

Dmitriy789 [7]

(F-g)(x)=4x^3+7x^2-6x+1

4 0

3 years ago

The following table shows a proportional relationship. Find the constant of

mash [69]

Answer:

k=1/4

Step-by-step explanation:

k=y/x

2/8 is 1/4

3/12 is 1/4

4/16 is 1/4

5/20 is 1/4

3 0

3 years ago