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3 years ago

11

a certain stock starts the day at $27 3/8 per share. if it drops $2 1/2 during the day what is it’s closing value

1 answer:

Tasya [4]3 years ago

8 0

let's firstly convert the mixed fractions to improper fractions and then simply get their difference, our denominators will be 8 and 2, so our LCD will be 8.

$\bf \stackrel{mixed}{27\frac{3}{8}}\implies \cfrac{27\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{219}{8}}~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{219}{8}-\cfrac{5}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)219~~-~~(4)5}{8}}\implies \cfrac{219-20}{8}\implies \cfrac{199}{8}\implies 24\frac{7}{8}$

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2 years ago

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3 years ago

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Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

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Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

'm' = $\frac{y_2-y_1}{x_2-x_1}$

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m = $\frac{10-5}{4-8}$

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Equation of line will be,

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Since, point (8, 5) lies on this line,

5 = $-\frac{5}{4}(8)+b$

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Therefore equation of the function will be,

G = $-\frac{5}{4}t+15$

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2 years ago