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Vanyuwa [196]
3 years ago
9

How do you get y by itself in the equation 2x - 3y = 0

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0
2x-3y=0\\
3y=2x\\
y=\dfrac{2}{3}x

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A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?
never [62]

The <em><u>correct answer</u></em> is:

46.6 days

Explanation:

The general form for exponential growth is

A=p(1+r)^t, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time.  We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

A=p(1+0.015)^t

We also know we want the total amount, A, to be twice that of the initial amount, p:

2p = p(1+0.015)^t&#10;\\&#10;2p=p(1.015)^t

Divide both sides by p:

\frac{2p}{p}=\frac{p(1.015)^t}{p}&#10;\\&#10;\\ 2=1.015^t

Using logarithms to solve this,

\log_{1.015}(2)=t&#10;\\&#10;\\46.6=t

8 0
3 years ago
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What is 15.09 ÷ 0.01 = _______<br><br> This is a 5th grade question
Paladinen [302]

Answer:

1509

Step-by-step explanation:

3 0
3 years ago
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Order of operations (19-8)×(10-5)+8
Natali [406]
PEMDAS
(9)(5) + 8
45 + 8
53
5 0
3 years ago
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Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph
Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

y=-\frac{7}{4}x+4

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

y_1=mx+b

And the second one, that is perpedicular to the one above:

y_2=nx+c

The slope of the second one is the negative inverse of the first one:

n=-\frac{1}{m}

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

y-y_1=m(x-x_1)

replace with the coordinates of the point and the slope and calculate:

\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}

Subtract 7 to both sides of the equation to write it in slope-intercept form:

\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}

Now you can graph both lines

8 0
1 year ago
Find the GCF of each pair of monomials. <br> 1). 20, 45x
Helga [31]
 20 and 45x

We look for a number that can go into both numbers.

5 into 20 is 4 and 5 into 45x is 9x.

5:      20       45x

         4           9x

So no other number can go into 4 and 9x again.

So the GCF of 20 and 45x is 5.     

Hope this explains it.
8 0
3 years ago
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