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2 years ago

P = X/N (solve for X)

Mathematics

2 answers:

sergey [27]2 years ago

8 0

Answer:

Step-by-step explanation:

Multiply N on both sides

X = P*N

Ann [662]2 years ago

3 0

Answer:

$X=PN$

Step-by-step explanation:

$P=\frac{X}{N}$

Manipulate the literal equation using inverse operations;

$P=\frac{X}{N}\\*N\\\\PN=X$

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It takes 10 pounds of potatoes to make 15 servings of mashed potatoes. At this rate:

UkoKoshka [18]

Answer:

1. 15 1/2

Step-by-step explanation:

6 0

1 year ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0

2 years ago

What is 70 X 12 1/2?

gulaghasi [49]

Answer:

70 x 12 1/2 = 875.

Step-by-step explanation:

Step 1.) When you multiply fractions, you put whole numbers over one.

Step 2.) Then, you change whole numbers with fractions, to improper fractions.

Step 1.)

70/1 x 12 1/2

Step 2.)

70/1 x 25 / 2.

And then we solve!

70 x 25 = 1750

1 x 2 = 2.

1750 divided by 2 = 875.

Hope this helps!!

*This is the Right Way of doing these problems*

4 0

2 years ago

Read 2 more answers

How can we determine a slope?

zimovet [89]

slope formula: y2-y1/x2-x1

6 0

3 years ago

5x -4y = -23<br><br> -5x + 9y =8

amid [387]

Answer:

this is the answer ( x,y ) = ( -7,-3 )

8 0

2 years ago