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3 years ago

Find the ratio of cans of fruit to the total number of food items collected.

Mathematics

1 answer:

Butoxors [25]3 years ago

3 0

First add all the items together:

6 + 4 + 7 + 4 = 21

then we compare 6 and 21 and look for common factors, 6 and 21 have the common factor 3 so we divide them both by 3 to get 2 and 7. since 2 and 7 have no common factors our answer is

2:7

This means for every 2 cans of fruit there are 7 total items and vice versa.

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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11

Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

$\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}$

$\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}$

$\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}$

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

1 1

1 2 1

1 3 3 1

1 4 6 4 1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

$\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}$

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

$\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}$

$\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}$

$\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}$

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0

2 years ago

A rectangular Persian carpet has a perimeter of 192 inches. The length of the carpet is 18 inches more than the width. What are

murzikaleks [220]

I think it's 156 by 36

4 0

3 years ago

Read 2 more answers

In a race between 18 people, how many ways can the top 5 finishers be arranged?

snow_lady [41]

Answer:

Step-by-step explanation:

This is permutation, since order matters. The formula for us is

₁₈P₅ = $\frac{18!}{(18-5)!}$ which simplifies to

₁₈P₅ = $\frac{18*17*16*15*14*13!}{13!}$

The factorial of 13 cancels out on the top and bottom leaving you with

₁₈P₅ = 18 × 17 × 16 × 15 × 14

which comes to 1,028,160 ways

Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say

18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.

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3 years ago

PLEASE HELP ME ITS URGENT ❗❗❗❗❗❗❗❗❗❗❗

vitfil [10]

Answer: W is your answer :)

Step-by-step explanation:

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3 years ago

6 1/2 minus 5 3/4 in math

Nata [24]

Answer:

0.75, or 3/4

Step-by-step explanation:

Hope this helps! :D

7 0

2 years ago

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