MATHEMATICS HIGH SCHOOL

A micrometer is one-millionth of a meter (0.000001): ten thousand times shorter than a centimeter (0.01). How many micrometer one is one edge of a centimeter cube?

Answers

Answer 1

Answer:

Answer:

$1cm^3=0.000000000001mm^3$

Step-by-step explanation:

Given : 0.000001 mm = 0.01 cm

To find : How many $mm^3$ is in $1 cm^3$

Solution :

Step 1 : Given 0.000001 mm = 0.01 cm

Step 2: Cubing both side $(0.000001mm)^3 = (0.01cm)^3$

Step 3: Solve $(10^(-6))^3mm^3=(10^(-2))^3cm^3$

$\Rightarrow((10^(-6))^3)/((10^(-2))^3)mm^3=1cm^3$

$\Rightarrow(10^(-18))/(10^(-6))mm^3=1cm^3$

$\Rightarrow 10^(-18+6)mm^3=1cm^3$

$\Rightarrow 10^(-12)mm^3=1cm^3$

$\Rightarrow 0.000000000001mm^3=1cm^3$

Therefore, $1cm^3=0.000000000001mm^3$

Answer 2

Answer: If a cube has an edge of one centimeter and one centimeter is ten thousand times longer than a micrometer, then the edge has ten thousand micrometers.

I hope that's what you meant :)

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Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had:____________ a) a profit of $10
b) a profit of $8
c) a loss of $8
d) a loss of $10
e) neither a profit nor a loss

Answers

Answer:

The correct option is c) a loss of $8.

Step-by-step explanation:

Consider the provided information.

If the selling price of two item is same and one item sold at a profit of x % and other at a loss of x % in that case total sale result loss:

To calculate the loss use the formula: $Loss\ \%=((x)/(10))^2\ \%$

It is given that he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, where the selling price is $96 each.

That means the total sale result will be a loss.

Now use the above formula by substitute x=20.

$Loss\ \%=((20)/(10))^2\ \%\n\nLoss\ \%=4\ \%$

It is given that the sales price is $96 of each that means total sales price is:

$96+$96=$192

Let the cost price of the shares were x.

According to question: x-4% of x = 192

$x-(4)/(100)* x = 192\n\nx-0.04x = 192\n\n0.96x = 192\nx = 200$

Hence, the cost price of the shares was 200.

Loss = Cost price -Sales price

Loss = $200 - $192

Loss = $8

Hence, the correct option is c) a loss of $8.

I have three questions, 1: certain members of the Italian Parliament make 180,000 euros a year. If 1 euro equals 1.36 U.S. dollars, how much do the members of parliament make in dollars per day? 2. London Heathrow airport sees on average 191,200 passengers a day. How many passengers is this per minute? 3. A factory worker in Cambodia makes 320,000 Cambodian Riels per month if 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. dollars per year?

Answers

Ok. It took me a bit of working out but here you go:

1. $322.90 - rounded to the 2nd decimal place.
2. 79667 - rounded to whole number.
3. $2400

Hope this helps! If you want to know how to figure them out just contact me by leaving a comment.

Jimmy2003

3(2y-4) - 2 ) = 0.4 (1+y)

Answers

6y-12-2=0.4+0.4y
6y-10-0.4=0.4-0.4+0.4y
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Which of the following ratios are equivalent to 6:8?36/40
9:12
12 to 16
15/20
24:36
16 to 24

Answers

Answer:

9:12

12 to 16

15/20

Hope this helps

i think 9 12 is correct hope it helps

Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee?

Answers

We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
z = ? Monthly administration fee is notated with z, and that is the this problem's question.
Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
----------------------------
(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
-------------------------------------------------
(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 40
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 40/400
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 1/10
------------------------------------------------
if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.

Answer:

Step-by-step explanation:

correct on ed (:

What is the slope of the graph of 12x + 3y = –17?A.-4

B.negative one-fourth

C.one-fourth

D.4

Answers

To get the slope you need to solve for y:
12x+3y=-17
Subtract 12x from both sides:
3y=-12x-17
Divide everything by 3:
y=-4x-17/3
The slope is -4.

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