Answer:
t = (p^2/mn) - 1/n
Step-by-step explanation:
Here, we want to make t the subject of the formula
we start by equating both sides so as to remove the root
we have this as;
m(t + n)/t = p^2
m(t + n) = tp^2
mt + mn = tp^2
mn = tp^2 - mt
mn = t(p^2-m)
t = (p^2 - m)/mn
t = p^2/mn - 1/n
Answer:
C = ¼(4B – 7A)
Step-by-step explanation:
⁴/₇(B – C) = A Multiply each side by 7
4(B - C) = 7A Remove parentheses
4B – 4C = 7A Subtract 4B from each side
-4C = 7A – 4B Multiply each side by -1
4C = -7A + 4B Divide each side by 4
C = ¼(4B – 7A)
Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.
0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons
Answer:
Step-by-step explanation:
force=mass × acceleration
20=5×a
a=20/5=4 m/s²
Answer:
True for all x
Step-by-step explanation:
