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Ksju [112]
4 years ago
9

hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. let x represent the number of pairs of so

cks purchased, and let y represent the number of blouses purchased. which equation model the purchases she made with $43.92?
Mathematics
2 answers:
blsea [12.9K]4 years ago
6 0
In this item, we let x be the number of pairs of socks and y be the number of blouses that were purchased by Hanna. The total amount that is spent for the socks and blouses are 2.99x and 12.99y, respectively. The equation that would best describe the given scenario is,
                              2.99x + 12.99y = 43.92
AlexFokin [52]4 years ago
3 0

D) 2.99x + 12.99y = 43.92.

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Answer:

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Find the value of x that will allow you to prove that CD below is parallel to EF if the measure of 21 is
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23

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Write an equation of the line that passes through a pair of points:<br> (-5, - 2), (4, 5)
attashe74 [19]

Answer (<u>assuming it can be written in slope-intercept form)</u>:

y = \frac{7}{9} x+\frac{17}{9}

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(5)-(-2)}{(4)-(-5)} \\m  = \frac{5+2}{4+5} \\m = \frac{7}{9}

So, the slope is \frac{7}{9}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line. Substitute m, x_1, and y_1 for real values.

Since m represents the slope, substitute \frac{7}{9} for it. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (y = mx + b format) and find the following answer:

y-(5) = \frac{7}{9} (x-(4))\\y-5 = \frac{7}{9} (x-4)\\y -5=\frac{7}{9} x-\frac{28}{9}\\y = \frac{7}{9}  x-\frac{28}{9} +\frac{45}{9}\\y = \frac{7}{9} x+\frac{17}{9}

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