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3 years ago

Sam has 3x + 4 dollars saved. Tessa has saved 7x + 16 dollars. Together they

Mathematics

2 answers:

Shalnov [3]3 years ago

8 0

Step-by-step explanation:

3x + 4 + 7x + 16 = 110

10x = 90

x = 9

therefore, Sam = $31 and Tessa = $79

Topic: Algebraic Equations

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Artemon [7]3 years ago

6 0

Answer:

Sam: 31

Tessa: 79

Step-by-step explanation:

3x+4+7x+16=110

10x+20=110

10x=110-20

10x=90

x=9

Money Sam saved

=3(9)+4

=27+4

=31

Money Tessa saved

=7(9)+16

=63+16

=79

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3 years ago

Are these correct? Please help with #12

BartSMP [9]

All of them seem pretty correct.
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Remove unnecessary parentheses
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3 years ago

In which quadrant does point W(-3,-9) lie

Marat540 [252]

Answer:

<h2>D. Quadrant III</h2>

Step-by-step explanation:

Quadrant in coordinate geometry is divided into four parts which is called Quadrants.

Quadrants I (x, y)

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6 0

3 years ago

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando

Lisa [10]

Answer:

$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

Step-by-step explanation:

$m=\frac{S_{xy}}{S_{xx}}$

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833$

And the slope would be:

$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

5 0

3 years ago