We want to know... how many cells are there in a cubic centimeter?
That is.....how many 200 cubic micrometers are there in a cubic centimeter?
We want to know...what is \(\frac{1\,\text{ cubic centimeter}}{200\,\text{ cubic micrometers}}\) ?
First let's convert 200 cubic micrometers into cubic centimeters.
1 meter = 1 · 102 centimeters = 1 · 106 micrometers
1 · 102 cm | = | 1 · 106 µm | Divide both sides by 106 . | |
1 · 102 / 106 cm | = | 1 µm | ||
1 · 10-4 cm | = | 1 µm | Cube both sides. | |
(1 · 10-4 cm)3 | = | (1 µm)3 | ||
1 · 10-12 cm3 | = | 1 µm3 | Multiply both sides by 200 . | |
200 · 10-12 cm3 | = | 200 µm3 | ||
2 · 10-10 cm3 | = | 200 µm3 |
So.....
\(\frac{1\,\text{ cubic centimeter}}{200\,\text{ cubic micrometers}}\,=\,\frac{1\,\text{ cubic centimeter}}{2 \cdot 10^{-10}\,\text{ cubic centimeters}}\,=\,\frac{1}{2\cdot10^{-10}}\,=\,5\cdot10^9\)
.Well... I'm not too great at calculations in my head, but here's one way.
The question is... how many times does 0.04 go into 3.2 ?
4 | goes into | 32 | 8 | times, | so... |
0.4 | goes into | 32 | 80 | times, |
|
0.04 | goes into | 32 | 800 | times, | and |
0.04 | goes into | 3.2 | 80 | times. |
|
-6x - 2y = -18
The x-intercept is the x value when y = 0 ........so plug in 0 for y and solve for x .
-6x - 2(0) = - 18
-6x = -18
x = 3 The x-intercept is 3 . Here's a graph that shows this.
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x + 4y = 15
The y-intercept is the y value when x = 0 ........so plug in 0 for x and solve for y .
0 + 4y = 15
4y = 15
y = 15/4 = 3.75 The y-intercept is 3.75 . Here's a graph that shows this.