To find the common denominator first find a number that goes into all the denominators;
the LCM of 5, 3, 8 = 120
so your new fractions with the same denominator are;
24/120, 80/120, 75/120
Answer:
In this equation x is equal to h + 1
Step-by-step explanation:
To solve this, follow the order of operations for solving equations.
(6x-4h) = 10 + 4(1.5 + 0.5x) ----> Distribute the 4
(6x - 4h) = 10 - 6 + 2x ----> Simplify
6x - 4h = 4 + 2x ----> Subtract 4 from both sides
6x - 4h - 4 = 2x ----->Subtract 6x from both sides
-4h - 4 = -4x ----> Divide by -4
h + 1 = x
Answer:
(y+2) = (1/3)(x-1)
Answer in point-slope form, you can rearrange this into the form which you need.
Step-by-step explanation:
recall that the general point-slope form of a linear equation looks like :
(y - y₁) = m(x - x₁)
where m is the slope and (x₁,y₁) is any point on the line
here we are given m = 1/3 and (x₁,y₁)=(1,-2)
simply substitute this info into the general equation above
(y - y₁) = m(x - x₁)
(y - (-2) ) = (1/3)(x - 1)
(y+2) = (1/3)(x-1) Answer in point-slope form, you can rearrange this into the form which you need.
Answer:
7 days
Step-by-step explanation:
At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.
"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.
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We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)
Let x be a random variable representing the mean number of flaws per square yard inspected
P(x > 1.8) = P(z > (1.8 - 1.7)/0.8) = P(z > 0.125) = P(z < 0.125) = 0.5497
