The molar mass of an element or compound is equal to the atomic mass of the element or compound except that is measured in grams. For example, an atom of helium has a mass of 4 amu. Therefore one mole of helium would have a mass of 4 grams.
Phosphorous has an atomic mass of 31 amu...

A 200 kilogram chocolate with 13% fat content would have 200 * .13 = 26 kilograms of fat
let x = mass of chocolate with 10% fat content
let y = mass of chocolate with 40% fat content
x + y = 200
.1x + .4y = 26
Multiply the second equation...

Let x = quantity of 10% fat-content chocolate in kilograms
Let y = quantity of 60% fat-content chocolate in kilograms
The two must add up to 100 kilograms of chocolate.
The fat content of the two must add up to 55 kilograms
x + y = 100
.10x +...

This is the same truth value as p V s because the negation of a negation always means the original statement much like -(-8) is the same as 8.

let x = calories burned by running per hour
let x - 230 = calories burned by riding a bike per hour
Joe's two hour run plus warm up = 2x + 150
Tommy's 4 hour bike ride = 4(x - 230)
2x + 150 = 4x - 920
-2x ...

9x4 - 28x2 + 3 = 0
Since the c value is positive, the sign of both factors must be the same. Since there is a minus sign in front of the b value, both factors must have a minus sign.
(9x2 - 1)(x2 - 3) = 0
9x2 - 1 = 0
(3x+1)(3x-1)...

Since water slows down the boat going upstream & speeds up the boat going downstream by the same speed of 3 mph, the average speed of the boat relative to the water would be the same as the average speed of the boat without the water current. That would (72 miles + 72 miles)/18 hours which...

Sodium Phosphate: Na3PO4
Zinc Nitrate: Zn(No3)2
Barium Bromate: Ba(BrO3)2
Iron (II) perchlorate: Fe(ClO4)2
cobalt (II) hydrogen carbonate: Co(HCO3)2 -----------this should be called cobalt bicarbonate
Chromium (III)...

Hydroiodic acid: HI
Chloric Acid: HClO3
Nitrous Acid: HNO2
H2CO3: Carbonic acid
HClO4: Perchloric acid
CH3COOH: acetic acid

F = Five dollar bills
T = Ten dollar bills
F = 3T
5F + 10T = 675
5(3T) + 10T = 675
15T + 10T = 675
25T = 675
T = 27
F = 3* 27 = 81
There are 27 ten dollar bills

M stands for moles/liter.
1) The atomic mass of sucrose is 342 daltons. This means the mass of one mole of sucrose is 342 grams. To make a 2 molar solution of sucrose, you must have 2 moles of sucrose in 1 liter of solution. 2 moles of sucrose would have a mass of 684 grams...

500 gallons that have 3% particulate contamination would have:
500 * 3% = 15 gallons of contaminants
For that oil to have only 1% contamination, there would have to be a volume to all of the oil 100 times that of the contaminants. That would be:
15...

If the two planes are traveling in opposite directions, then they are traveling on a straight line with respect to each other. Therefore, their distance apart will be equal to their composite speed times the time aka:
distance = (total speed) * (time)
2250 km = (470...

The equation of a circle at the origin is x2 + y2 = r2 where r represents the radius of the circle. In the case of a circle with radius 1 centered at the origin, the equation would be:
x2 + y2 = 1
Points in the first quadrant that satisfy this equation...

From what I can surmise from the tracking stations and the weather balloon, we have a triangulation going on. A triangle has formed between the two tracking stations & the weather balloon with angles of 38º, 14º, and lastly 128º. To find the distance between the weather balloon & the western...

To solve this, we must first find the two points in which the function intersect. Then we must use the volume integral to find the volume of the solid generated.
x2 + 1 = -2x + 3
x2 + 2x +1 = 3
(x+1)2 = 3
x +...

s = 120t - 16t2
How long denotes time. Therefore, we must find t when s=216.
216 = 120t - 16t2
-120t -120t +16t2
+16t2
16t2 - 120t + 216 = 0
Divide by 8
2t2 -...

x = money invested at 6%
x-300 = money invested at 8%
Since Trent't total annual interest income is $116, this would be represent by the percentage of each amount invested.
.06x + .08(x-300) = 116
.06x + .08x -24 = 116
...

First....you must take all the expressions under every radical & rewrite them as expressions being raised to fractional exponents. Then you integrate each individual expression within the function via the power rule of integration.
∫xn = xn+1/(n+1) + C

P =present size of prostate cancer
P0 = original size of prostate cancer
t = time
P = P0*2t/4
2 = 0.7*2t/4
2t/4 = 2/0.7 = 2.858
t/4 * log 2 = log 2.858
t/4 = 1.5145
t = 6.06 years
The...