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2 years ago

How do you convert 1.42 g/cm^2 to mg/mm^2 Step by Step?

1 answer:

3 0

In the problem stated,we are asked to convert 1.42 g/cm^2 to mg/mm^2 . From the units given, 1 gram is equal to 1000 milligrams and 1 centimeter is equal to 10 millimeters. We square the second conversion to take consideration of the squaring of cm. in this case, the conversion is 1.42 g/cm2 * (1000 mg/1g)*(1 cm / 10 mm)^2 equal to 14.2 g/mm2

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What number should be added to 7/12 to get 4/15?

DENIUS [597]

Answer:

Step-by-step explanation:

Let the number = x.

We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

$\frac{7}{12} + x = \frac{4}{15}$

Subtract 7/12 from both sides.

$x = \frac{4}{15} - \frac{7}{12}$

We need to make the denominators of the fractions the same.

$\frac{4}{15} = \frac{16}{60}$

$\frac{7}{12} = \frac{35}{60}$

So,

$x = \frac{16}{60} - \frac{35}{60} = - \frac{19}{60}$

6 0

2 years ago

18. Manufacturers often package products in a way that uses the least amount of material One measure of the efficiency of a pack

Lemur [1.5K]

Answer:

a. $E=\frac{2h+2r}{rh}$

E of first can = $E=\frac{2h+2r}{rh}$

E of second can = $E=\frac{h+2r}{rh}$

c. Yes

Step-by-step explanation:

The efficiency ratio is:

E = Surface Area / Volume

We can write:

$E=\frac{S}{V}$

Where

S is surface area of cylinder

V is volume of cylinder

The formulas are:

S = $2\pi rh+2\pi r^2$

V = $\pi r ^2 h$

So, the <u>efficiency ratio (E) </u>is:

$E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The first can has radius "r" and height "h", so the efficiency ratio is:

$E=\frac{S}{V}\\E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:

$E=\frac{S}{V}\\E=\frac{2\pi (2r)h+2\pi (2r)^2}{\pi (2r)^2 h}\\E=\frac{4\pi rh +8\pi r^2}{4\pi r^2h}\\E=\frac{4\pi r(h+2r)}{4\pi r(rh)}\\E=\frac{h+2r}{rh}$

We now need to say if the company made a good decision or not.

If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.

The first can has "2h"

The second can has "h"

The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.

We need smaller ratio.

So, 2nd can has indeed smaller ratio, so the company made a good decision.

6 0

2 years ago

A home builder wants 5 5 acres of land split into 13 13 equal sections. Three of these expressions give the number of acres of l

stepladder [879]

Answer:

Check Explanation

Step-by-step explanation:

The options to be examined for the wrong one isn't presented, and it wasn't obtainable online, So, I'll exhaustively cover all the common possible answers!

5 acres of land. Acres is a unit of measurement that is most pecuilar to land. It is basically expressing the area of the land.

So, if 5 acres of land is to be divided into 13 sections with equal areas.

Each of the 13 land areas will have an area of (5/13) = 0.385 acre

1 acre = 4046.856 m²

5 acres = 20,234.28 m²

Each of the 13 land areas will have an area of (20234.28/13) = 1556.5 m²

1 acre = 43560 ft²

5 acres = 5 × 43560 = 217,800 ft²

Each of the 13 land areas will have an area of (217800/13) = 16,753.85 ft²

1 acre = 0.00156 square miles

5 acres = 5 × 0.00156 = 0.0078 square miles

Each of the 13 land areas will have an area of (0.0078/13) = 0.0006 square miles.

So, basically, whatever units one converts the area to, just divide the value by 13 and one obtains the area of each of the 13 portions of land that makes up the 5 acres.

Hope this Helps!!!

4 0

2 years ago

Read 2 more answers

Li Na made 144 fliers for her new business. Five of her friends are helping her distribute the fliers. If they divide the fliers

AleksAgata [21]

The Answer Is 24 fliers each

6 0

2 years ago

A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of

Brilliant_brown [7]

Answer:

35 pounds of $8.00 tea and 15 pounds of $6.00 tea

Step-by-step explanation:

Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,

8x + 6(50 -x) = 50 * 7.4

simplify,

8x + 300 - 6x = 370

2x + 300 = 370

and solve.

2x = 70

x = 35

This means there is 35 pounds of the $8 kind.

We can subtract that from 50 to find,

50 - 35 = 15,

15 pounds is the amount of the $6 kind.

3 0

1 year ago

Read 2 more answers