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3 years ago

Explain how you would convert a measurement given in ounces in pints

Mathematics

1 answer:

Tom [10]3 years ago

6 0

Answer:

It is known that 1 pint equals 16 ounces

Step-by-step explanation:

It is known that 1 pint equals 16 ounces. Then we use this data to transform a number of ounces into pints.

Suppose we have x ounces. We want to know how many pints are these x ounces. Then we perform the following operation

$x\ ounces*\frac{1\ pint}{16\ ounces}=z\ pints$

Where z pints is the amount equivalent to x ounces

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Measure height of apartment building

Gre4nikov [31]

Answer:

Building height is measured from finished grade located within 2 feet of the foundation wall to the highest point on the building or structure. ... The building height is the vertical distance between finished grade and the highest point on the building, provided that the measured elevation does not include fill or berms.

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3 years ago

(6x-5y+4)dy+(y-2x-1)dx=0

Len [333]

(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

(6x - 5y + 4) dy = (2x - y + 1) dx

dy/dx = (2x - y + 1) / (6x - 5y + 4)

Let X = x - a and Y = y - b. We want to find constants a and b such that

dY/dX = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)

Then we solve for a and b in the system,

2a - b + 1 = 0

6a - 5b + 4 = 0

==> a = -1/4 and b = 1/2

With these constants, the equation reduces to

dY/dX = (2X - Y) / (6X - 5Y)

Now substitute Y = VX and dY/dX = X dV/dX + V :

X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

X dV/dX + V = (2 - V) / (6 - 5V)

X dV/dX = (2 - V) / (6 - 5V) - V

X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)

X dV/dX = (4V - 4) / (6 - 5V)

- (5V - 6) / (4V - 4) dV = 1/X dX

Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

-5V + ln|V - 1| = 4 ln|X| + C

Get this back in terms of Y :

-5Y/X + ln|Y/X - 1| = 4 ln|X| + C

Now get the solution in terms of y and x :

-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C

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3 years ago

The table represents a linear function.

LuckyWell [14K]

Answer:

the slopes is the change in y on change in x

hence the slopes is -6

3 0

3 years ago

10x - 10y = 1 x = y - 3 solve the system of equations by substitution. a. (-29/20, 31/20) b. (1/2, 2/5) c. no solution d. coinci

Gekata [30.6K]

First you'd substitute x= y-3 in the first equation.

10(y-3) -10y= 1

10y - 30 -10y= 1

The y's cancel each other out, so you're left with -30= 1. That means there's no solution :)

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3 years ago

What is the missing reason for the 3rd step in the proof below?

Firlakuza [10]

Answer: B

Step-by-step explanation:

Because m<7 and m<6 share a vertex and doesn’t share any common sides and they are across from each other which means they are vertical and vertical angles are congruent

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3 years ago