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lana [24]
3 years ago
9

Alan has c pounds of candy. He gives his friend Matt 2/3 of the candy he has. Matt receives 4/9 pounds of candy. Write and solve

the equation to determine how many pounds of candy Alan has.
Mathematics
1 answer:
larisa86 [58]3 years ago
6 0
Alan has c pounds candy.
<span>He gives his friend Matt 2/3 of the candy he has.
So alan gets 2c/3 pounds

2c/3 = 4/9
⇒ c = 4/9 × 3/2 = 2/3 pound

Now alan has = 2/3 - 4/9 = 6-4 / 9 = 2/9 pound candy
</span>
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Zigmanuir [339]

Answer:

the sum of the squares of the two smaller sides is equal to the square of the third and longer side.

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2 years ago
Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage
padilas [110]

The total weight of cabbage is 14 1/4

<h3 /><h3>What is Equation?</h3>

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Given:

Yasmin purchased 6 heads of cabbage that each weighed 2 and  3/8 pounds.

So,

2 and 3/8 = 19/8

1 cabbage = 19/8 pounds

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1 * x = 6 * 19/8

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x = 14 1/4

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

        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}

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5 0
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Step-by-step explanation:

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2 years ago
Find the sum of the following series. Round to the nearest hundredth if necessary,
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Answer:

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