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stellarik [79]
3 years ago
14

May painted 4 out of 8 equal part of a poster board blue. Jared painted 2 out of 4 equal parts of a same-size poster board re. W

rite fractions to show wich part of the poster board each person painted.
Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

\text{Part of poster board painted by May}=\frac{1}{2}

\text{Part of poster board painted by Jared}=\frac{1}{2}

Step-by-step explanation:

We have been given that painted 4 out of 8 equal part of a poster board blue.

Let us represent this information in a fraction, where numerator is 4 and denominator is 8 as:

\text{Part of poster board painted by May}=\frac{4}{8}

\text{Part of poster board painted by May}=\frac{1}{2}

We are also told that Jared painted 2 out of 4 equal parts of a same-size poster board.

\text{Part of poster board painted by Jared}=\frac{2}{4}

\text{Part of poster board painted by Jared}=\frac{1}{2}

Since both poster boards are of same size, so May and Jared painted same amount of the board.

Therefore, May and Jared each painted \frac{1}{2} of the poster board.

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Answer:

(\frac{-7}{3}, \frac{4}{3})

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

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and we need to find the solution (the point at which the 2 lines intersect)  

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

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combine like terms

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divide both sides by -18

x=\frac{-7}{3}

now we need to find y

remember: y=5x+13

substitute \frac{-7}{3} as x in y=5x+13

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add

y=\frac{4}{3}

So the answer is x=\frac{-7}{3}, y=\frac{4}{3}. As a point, it's (\frac{-7}{3}, \frac{4}{3})

Hope this helps! :)

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