1) isolate y
4x + 5y = 60
-4x -4x
_____________
5y = -4x + 60
2) make y so that is is alone with no numbers beside it
5y = -4x + 60
__________
5
y = -4/5x + 60
3) the slope is ALWAYS the number to the left of x, even if it's a fraction. It's it a decimal, convert to a fraction. The last number (in this case is 60) is where the slope crosses the y-axis on the coordinate plane.
The slope is -4/5x + 60
Answer:
25% probability that all three residents will choose the same plumbe
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Each resident randomly chooses one of the two plumbers.
This means that 
Three residents:
This means that 
What is the probability that all three residents will choose the same plumb
This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So
25% probability that all three residents will choose the same plumbe
Answer:
a) y = .70x + 20
-To find this, use the rate as x since it will change based on the number of miles. Since 20 is a flat fee, it can be added at the end as a constant.
b) This graph forms a straight line.
-This is because the answer in a is a linear equation.
c) The slope is .70 and the y-intercept is 20.
-For this one, the y-intercept is always the constant at the end of the equation and the slope is the coefficient of x.
Answer:
4 batches
Step-by-step explanation:
Total syrup made by Tamita = 18.5 ounces
Amount of ounces per batch = 4 ounces
If 1 batch = 4 ounces
x batches = 18.5 ounces
Cross multiply
4 * x = 18.5
x = 18.5/4
x = 4.625
Hence she can only make 4 batches of syrup
Answer:
D. 1,248 cubic units
Step-by-step explanation:
the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units
