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earnstyle [38]
2 years ago
8

lance lived in portugal and brazil for a total of 14 months to learn portuguese. He learned an average of 130 new words per mont

h when he lived in portugal, and an average of 150 new words per month when he lived in brazil. In total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil
Mathematics
1 answer:
ser-zykov [4K]2 years ago
7 0

Answer:

130x+150y=1920

Step-by-step explanation:

130x is 130 words per month in portugal and 150y is 150 words per month in brazil. in total, he learned 1920 new words

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Describe how you regroup when you find the sum of 64+43
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Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s
faltersainse [42]
<h2>Answer</h2>

She will be scoring above 85 after her 7 assessment.

<h2>Explanation</h2>

We can model this situation using a line equation.

We know that on her first assessment, Rita scored 58 points, so our first point is (1, 58)

We also know that on her second assessment, Rita scored 63 points, so our second point is (2, 63)

To find the rate, which is the slope of our line, we are using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

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(x_{1},y_{1}) are the coordinates of the first point

(x_{2},y_{2}) are the coordinates of the second point

From our points we can infer that x_{1}=1, y_{1}=58, x_{2}=2, y_{2}=63. Let's replace the values in our slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{63-58}{2-1}

m=\frac{5}{1}

m=5

Now we know that Rita's score is increasing 5 points every assessment.

To complete the equation of our line, we are using the point slope formula:

y-y_{1}=m(x-x_{1})

y-58=5(x-1)

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Finally, we just need to replace y with 85 in our line equation and solve for x to find after which assessment she will score above 85:

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x=\frac{32}{5}

x=6.4

Since we can't have 0.4 assessment, she will be scoring above 85 after her 7 assessment.  


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