Answer:
you can simplify rations just like you simplify fractions. Whenever you are able to evenly divide both parts of the ratio with out changing the equation's answer, you are able to.
for example
if it were 3:6, you can simplify this by dividing these both by 3, leaving you with 1:2.
Answer:
8.25 Gallons
Step-by-step explanation:
2.75 gallons * 3 minutes = 8.25 gallons
Answer:
There will be 916 ants alive after 4 months.
Step-by-step explanation:
Step 1
Let's change the percentage to a decimal by dividing by a 100.
6.5% / 100 = .065
Step 2
So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.
1200 * .065 = 78
This means that after the first month, 1200 - 78 = 1122 ants will be alive.
Step 3
Now for the second month: 1122 * .065 = 72.93 (rounded to 73)
1122 - 73 = 1049 ants will be alive
Step 4
For the third month 1049 * .065 = 68.185 (rounded to 68)
1049 - 68 = 981 ants will be alive
Step 5
For the fourth month 981 * .065 = 63.765 (rounded to 64)
981 - 64 = 916 ants will be alive
Hope this helps!
Answer:
The inverse of x² +1 is:
Step-by-step explanation:
Given
y = x² + 1, x>0
We know that A function g is the inverse of a function f if for y = f(x), x = g(y)
y = x² +1
Replace x with y
x = y² + 1
solve for y
y² = x - 1
Taking square root
Thus, the inverse of x² +1 is:
0.67x + 0.3=2.4
We simplify the equation to the form, which is simple to understand
0.67x + 0.3=2.4
We move all terms containing x to the left and all other terms to the right.
+ 0.67x=+2.4-0.3
We simplify left and right side of the equation.
+ 0.67x=+2.1
We divide both sides of the equation by 0.67 to get x.
x=3.13432835821
