Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)
rearrange so
10x-y=-150
20x-y=-115
multiply the top by -1, so that if we add the two lines together, the y will cancel out
-10x+y=150
20x-y=-115
add the two lines together
10x=35
x=3.5
so the time is 3 and a half weeks
then we can sub in x to find y
20x-y=-115
20(3.5)-y=-115
70-y=-115
-y=-185
y=185
so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)
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%
So putting in eqn ;
75x+350 = 100x + 200
25x= 150
x = 6 hrs
A) so the answer is 6 hours !
I can't get the another one , please explain what the question says !! I can not read it properly !!
Answer:
0.0256 or 16/625 or 2.56%
Step-by-step explanation:
The problem states that each light bulb operates independently of the other, so the probability doesn't change for each light bulb based on how many other light bulbs are working.
The probability of each light bulb working is 0.6 out of 1. However, we want the probability of it being broken.
1 - 0.6 = 0.4
This is the probability of one light bulb being broken. But there are 4 lightbulbs.
We can multiply 0.4 by itself 4 times, as the probability stacks.
0.4 * 0.4 * 0.4 * 0.4 = 0.0256 (<em>Also achieved by raising 0.4 to the power of 4)</em>
<em>To get the percentage, multiply it by 100. 2.56%</em>
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0.4 is equal to 40% or 40/100. If you simply, that fraction is equal to 2/5
2/5 * 2/5 * 2/5 * 2/5 = 16/625 (<em>Also achieved by raising 2/5 to the power of 4)</em>