Answer:
580
Step-by-step explanation:
Let's translate this word for word.
87 is 15% of what number
87 = 15% times x
87=.15 times x
Divide both sides by .15
Cancel out the common factor of .15 on the right; that is .15/.15=1.
580 is the number
Answer:
Step-by-step explanation:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Total = 36oz
Amount of 18% solution = x
Amount of 9% solution = 36 - x
Using the fact that (amount of solution) * (percent HCl) = amount HCl we can set up an expression for the amount HCl in a mixture of 18% and 9% solutions with a total volume of 36oz.
Amount of HCl = x*0.18 + (36 - x)*0.09
If we divide this by the amount of solution we get percent HCl, and we have a target of 10% HCl. Now we have an equation to solve,
[x*0.18 + (36 - x)*0.09]/36 = 0.1
x*0.09 + 3.24 = 3.6
.09x = 0.36
x = 4
Therefore,
4 ounces of 18% HCl solution and 32 ounces of 9% HCl solution
Check:
[(4*.18) + (.09*32)]/36 = 0.1?
0.1 = 0.1 Yes.
There's 40 dogs and each gets 5 minutes. 40 times 5 is 200. The morning so will be 200 minutes or 3 hours and 20 minutes
Member Price = 30 + 3x
Non-member Price = 6x
x = the tickets they buy.
We want 30 + 3x = 6x
So, first we subtract 3x from each side and are left with:
30 = 3x
Then, divide each side by 3.
10 = x
So, the cost of 10 tickets is the same more non-members and members.
We can also check it:
Member Price: 30 + 3(10)
30 + 30 = 60
Non-member Price: 6(10)
60