Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that
<em>x</em> + <em>y</em> = 16
For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then
0.1<em> x</em> + 1 <em>y</em> = 2.24
Solve for <em>y</em> in both equations:
<em>y</em> = 16 - <em>x</em>
<em>y</em> = 2.24 - 0.1 <em>x</em>
Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.
16 - <em>x</em> = 2.24 - 0.1 <em>x</em>
13.76 = 0.9 <em>x</em>
<em>x</em> = 13.76/0.9 ≈ 15.29
<em>y</em> = 16 - 15.29 ≈ 0.71
So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.
Answer:
Step-by-step explanation:
Answer:
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Step-by-step explanation:
1.) 7 x109= Population of the world is around 7 billion written out as 7,000,000,000
2.) 1.08 x109= Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour
3.) 2.4 x105= Distance from the Earth to the moon is 240 thousand miles or 240,000 miles
4.) 9.3 x107= Distance from the Earth to the sun is 93 million miles or 93,000,000 miles
5.) 3.99 x1013= Distance from the sun to the nearest star (Proxima Centauri) is 39,900,000,000,000 km
6.) 9.4605284 ×1015= Distance light travels in a year is less than 9.5 trillion kilometers, or exactly 9,460,528,400,000,000 km
7.) 1.4 x108= Amount of water surface area on the Earth is 140 million square miles or 140,000,000 square miles
8.) 1.0 x1014= Approximate number of cells in the human body is 100 trillion or 100,000,000,000,000
9.) 1.332 x10-3= Density of oxygen is 1332 millionths g per cc or .001332 g per cc
10.) 2.4 x10-3= Diameter of a grain of sand is 24 ten-thousandths inch or .0024 inch
7.53 x10-10= Mass of a dust particle is 0.000000000753 kg
11.) 9.1093822×10-31= Mass of an electron is 0.00000000000000000000000000000091093822 kg
12.) 4.0 x10-7= Length of the shortest wavelength of visible light (violet) is 0.0000004 meter
