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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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Estimate the product of 67 an 73 round each number to the neares tenes
vampirchik [111]

Answer:

4900

Step-by-step explanation:

73*67

70*70

7*7(10^2)

49(100)

4900

6 0
3 years ago
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Which expression is equivalent to the given expression?<br> (-4ab)3
vampirchik [111]

Answer:

-64a³b³

Step-by-step explanation:

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6 0
3 years ago
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
Ipatiy [6.2K]

Answer:

y=4x-1

Step-by-step explanation:

Slope-intercept form is written in y=mx+b

  *m=slope

  *b=y-intercept

From what I see,

the line hits the points (0,-1) and (1,3)

Slope is the rise (change in the y-coordinate) of the line divided by the run (change in the x-coordinate).

4÷1=4

Slope=4

y=4x+b now

The y-intercept is the value of y when the line meets the y-axis

It seems to meet at (0,-1)

So we end up with...

y=4x-1 as our equation

8 0
3 years ago
Find the surface area of a rectangular prism that is 16 inches long, 12 inches wide, and 5 inches high. A) 960 in.2. B) 689 in.2
Hoochie [10]
It would be 960 because 16X12X5= 960
6 0
3 years ago
Un agricultor tiene un terreno cuadrado dedicado al cultivo de hortalizas. Para ampliarlo, quiere comprar el terreno adyacente,
Agata [3.3K]

Answer: 20 meters.

Step-by-step explanation:

The formula for calculate the area of a square is:

A=s^2

Where "s" is the side length of the square:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

Based on the information provided, you know the sum of the areas of the square land and the adjacent land is 600 m². This is:

A_1+A_2=600\\\\s^2+lw=600

Knowing that the width of the adjacent land is 10 meters:

s^2+10l=600

Since  the lenght of the adjacent land and the side lenght of his actual land are equal:

l=s

You can substitute this into s^2+10l=600:

s^2+10s=600\\\\s^2+10s-600=0

Applying the Quadratic formula, you get:

s=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\s=\frac{-10\±\sqrt{(10)^2-4(1)(-600)} }{2(1)}\\\\s_1=20\\\\s_2=-30

Since the side lenght cannot be negative, you can determine that this is:

s=20\ m

7 0
3 years ago
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