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goldenfox [79]
3 years ago
12

I have a bag containing red, green, blue, and white marbles and the ratio $\text{red}:\text{green}:\text{blue}:\text{white}$ is

$2:2:5:7$. I have 304 marbles. How many blue marbles do I have?
Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer:

95

Step-by-step explanation:

Let 2x be how many red/green marbles there are,

let 5x be how many blue marbles there are, and

let 7x be how many white marbles there are.

2x + 2x + 5x + 7x = 304

16x = 304

x = 19

As 5x is defined as how many blue marbles there are, we could just plug x for 19:

5*19 = 95

I hope this helped, and if it did please consider giving me brainliest :)

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Question 2 of 5
AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is f(n)=f(n-1)+d, f(1)=a,n\geq 2 and the explicit formula is f(n)=a+(n-1)d, where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is f(n)=rf(n-1), f(1)=a,n\geq 2 and the explicit formula is f(n)=ar^{n-1}, where a is the first term and r is the common ratio.

The first recursive formula is:

f(1)=5

f(n)=f(n-1)+5 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(5)

f(n)=5+5(n-1)

Therefore, the correct option is A, i.e., f(n)=5+5(n-1).

The second recursive formula is:

f(1)=5

f(n)=3f(n-1) for n\geq 2.

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

f(n)=5(3)^{n-1}

Therefore, the correct option is F, i.e., f(n)=5(3)^{n-1}.

The third recursive formula is:

f(1)=5

f(n)=f(n-1)+3 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(3)

f(n)=5+3(n-1)

Therefore, the correct option is D, i.e., f(n)=5+3(n-1).

6 0
3 years ago
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Answer:

You have three

-4,0, and 2 or the answer choice A

Step-by-step explanation:

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Let's say the first truck weighs x tons

Then, the weight of 2nd truck = x+2 tons

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The weight of 4th truck = (x + 4) + 2 = x+6 tons

Total weight of 4 trucks:

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which can be solved easily to give x = 5

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a_sh-v [17]

Answer:

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Step-by-step explanation:

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