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Amiraneli [1.4K]
3 years ago
9

A tea shop brewed 8 7/8 pitchers of chamomile tea, of which it sold 2 3/5 pitchers. How many pitchers remained unsold?

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
7 0

Answer:

6 11/40

Step-by-step explanation:

First you have to convert the fractions into improper fractions, where 8 7/8 would turn into 71/8 and 2 3/5 would turn into 13/5. Then you have to find a common denominator which would be 40, so you get 355/40 and 104/40. Then to find the remaining amount, you have to subtract 104/40 from the 355/40, so 355/40 - 104/40, which equals 251/40. This turns into 6 11/40, which can't be simplified any further. Hope this helps :)

Hitman42 [59]3 years ago
4 0

Answer:6 11/40

Step-by-step explanation: You can change your units to decimals or to fractions of equal value.  Decimals are easier for this so 8 7/8= 8.875 and 2 3/5 =2.6.  Then subtract: 8.875-2.6= 6.275   You can now convert back to a fraction by simplifying the .275 into 11 by dividing by 25 and 1000 into 40 by dividing by 25.  6+11/40= 6 11/40 tea left

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Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

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3 × d = -1

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To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

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1.67 percent

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