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3 years ago

How can you isolate the variable in this equation? x + 6 = 13

Mathematics

1 answer:

just olya [345]3 years ago

5 0

Answer:

By subtracting 6 from both sides of the equal sign

Step-by-step explanation:

x + 6 = 13

We solve for x, by getting it alone on the left side.

so:

x + 6 - 6 = 13 - 6

x = 7

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300 x .10 = 30
300 + 30 = 330
The final coat of the GoPro is 330!

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3 years ago

Students can buy up to 10 books at the book fair the cost of the books as shown in the graph what is the range of the graph

bogdanovich [222]

The answer is 8 okay

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3 years 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:

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

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

Hence, the amount of oil was decreasing at 69300 barrels, yearly

7 0

2 years ago

What would the answer be for number 6??

slava [35]

Answer:

Top Table because it has a sequence going on

8 0

2 years ago

Read 2 more answers

(8.218+9.93)+(17.782+0.07)

Licemer1 [7]

First, using the order of operations(PEMDAS), you would solve what is inside the parenthesis.
(8.218 + 9.93) + (17.782 + 0.07)
(18.148) + (17.852)
18.148 + 17.852

Now, all you would have to do is add the two sums.
18.148 + 17.852 = 36

The answer would be 36.

I hope this helps!

5 0

2 years ago