179 and 180
consecutive numbers have a difference of 1 between them
let the 2 numbers be n and n + 1, then
n + n + 1 = 359
2n + 1 = 359 ( subtract 1 from both sides )
2n = 358 ( divide both sides by 2 )
n = 179 and n + 1 = 179 + 1 = 180
the 2 pages are 179 and 180
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
Hope this helps!
Have a nice day :)
since triangles are similar
=》 21/9 = x/3
=》 x = 21×3/9 =7
To find the sales tax you’d need to find 9% of 87. You find this by using this template, x%/100%=y/z, x being the sales tax, y being 9% in cash, and z being the 87 dollars. You multiply the x value by the z value, (9 X 87=783) and then divide that product by 100%. This gives you the sales tax of 7.83, and when you add that to 87 you get $94.83. Subtract that from the 5 20 dollar bills ($100) and you are left with $5.27 change.
