45c/100=9.25=37/4
c=20 5/9 (185/9)
Answer: B. 2/3; 1
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b
.
Slope:
(2)
/(3)
y-intercept:
(
0
, 1
)
Step-by-step explanation:
Find the slope and y-intercept of the equation. y = (2)/(3)x + 1
Find the Slope and y-intercept
Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is 
Variable y: We have exponents 3, 3 and 1. So the GCF is
Variable z: We have exponents 1, 1 and 1. So the GCF is 
The greatest common factor is:

Answer:

Step-by-step explanation:
The given expression is

Factor the first two and the last two.


Apply difference of two squares to the leftmost factor.

The estimate for the total population size is 1600.
Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:
150/300 = 800/x
Cross multiply:
150*x = 300*800
150x = 240000
Divide both sides by 150:
150x/150 = 240000/150
x = 1600