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Mademuasel [1]
3 years ago
9

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which

Mathematics
2 answers:
Aloiza [94]3 years ago
6 0

Answer:

\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

5cm*\frac{10mm}{1cm}

Second:

5cm*\frac{1cm}{10mm}

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.

First answer choice is right.

kifflom [539]3 years ago
4 0

Answer:

Its A

Step-by-step explanation:

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AlladinOne [14]
Inconsistent system of equation consists of equations whose graphs do not intersect (they are parallel lines) and there is no solution.
Dependent system of equations consists of equations that are same (their graph is the same) but written in different form.
Let us analyze the equations:
5x+<span>10y+15z=60 (1)
</span>2x+4y+6z=60 (2)
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We can divide the first one by 5 </span><span>to obtain the same left side as in equation (3), and to see if they are dependent:
x+2y+3z=12
</span>which is not the same as <span>x+2y+3z=60.
</span>They are not dependent (they are independent).<span>

We can divide the second one by 2 to obtain the same left side as in equation (3), and to see if they are dependent:
</span><span>x+2y+3z=30 (2) divided by 2
which is not the same as </span><span>x+2y+3z=60. They are not dependent (they are independent).

The graphs of the three functions are parallel so, they are inconsistent.
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4 0
4 years ago
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Figure A is a scale image of Figure B. What is the value of x?
Scilla [17]

Answer:

x = 5.4

Step-by-step explanation:

Multiply 7.2 by 3/4 to find the equivalent ratio.

6 0
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Compare the line passing through the points (–2, –9) and (4, 6) to the line given by the equation y = 25x – 4.
elena-s [515]

Answer:

D. They have the same y-intercep

Step-by-step explanation:

Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .

(–2, –9) and (4, 6)

Gradient= (6--9)/(4--2)

Gradient= (6+9)/(4+2)

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Choosing (–2, –9)

The equation of the line

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Choosing (4, 6)

The equation of line

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4 0
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What is the fully factored form of the expression 45x²y2 + 18x3
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Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

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GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).

4 0
3 years ago
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