Answer:
1 7/9 ounces
Step-by-step explanation:
The final solution will be 9 parts water and 1 part hydrogen peroxide (so that hydrogen peroxide makes up 1 of 10 parts of the solution).
Then each "part" is (16 ounces)/9 = 1 7/9 ounces.
1 7/9 ounces of hydrogen peroxide must be added to 16 ounces of water to make a 10% solution.
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<em>Check</em>
The total amount of solution is 16 +1 7/9 = 17 7/9 ounces = 160/9 ounces. The amount that is hydrogen peroxide is 16/9 ounces, so the fraction that is hydrogen peroxide is ...
(16/9) / (160/9) = 16/160 = 1/10 = 10%
An Ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. Energy enters the system through photosynthesis and is incorporated into plant tissue. By feeding on plants and on one another, animals play an important role in the movement of matter and energy through the system. They also influence the quantity of plant and microbial biomass present. By breaking down dead organic matter, decomposers release carbon back to the atmosphere and facilitate nutrient cycling by converting nutrients stored in dead biomass back to a form that can be readily used by plants and other microbes.
Answer:
- The first car costs $40 and the price difference is $5
Step-by-step explanation:
<u>Given:</u>
- There are 17 cars with the price as an AP sequence.
- The total of 17 is $1360
<u>The total of last 3 is $345, it means the total of the first 14 is:</u>
<u>Use the sum of the first n terms formula, consider the first term is a and common difference is d:</u>
<u>Find it at n = 14 and n = 17:</u>
- S₁₄ = (2a + 13d)*14/2 = 1015 ⇒ 2a + 13d = 1015/7 ⇒ 2a + 13d = 145
- S₁₆ = (2a + 16d)*17/2 = 1360 ⇒ 2a + 16d = 2*1360/17 ⇒ 2a + 16d = 160
<u>Subtract the equations and solve for d:</u>
- 16d - 13d = 160 - 145
- 3d = 15
- d = 5
<u>Find the value of a:</u>
- 2a + 13*5 = 145
- 2a + 65 = 145
- 2a = 80
- a = 40
Since this number ends with a .59, this means that we should round 156.59 to 157.00. But because we never use .00 unless we are dealing with money, it's just better to say 157 instead of 157.00.
Hope this helps!