Answer:
Step-by-step explanation:
Given that in the weekly ad 5 pound bag of organic apples will cost 13.95 dollars
To find unit rate
Unit rate can be found in two ways either cost of 1 apple or no of apples for 1 dollars
I part:
5 apples = 13.95 dollars
1 apple = 13.95/5 (since direct variation)
Unit rate for one apple= 2.79 dollars
Part II:
13.95 dollars = 1 apple
1 dollar = 1/13.95 = 0.071
=0.07
But normally since apples are countable as 1,2 ... we use the first type of rate only unit rate per apple
The balance B at the end of time t is given by
B = P +Prt
8250 = 6000 +6000*r*12.5 . . . . substitute the given information
2250 = 6000*r*12.5 . . . . . . . . . . .subtract 6000
2250/(6000*12.5) = r . . . . . . . . . .divide by the coefficient of r
r = .03 = 3%
Clint earned 3% annual simple interest on his savings.
The probability that jim will win = P(A) = 1/9
<h3>What is probability?</h3>
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
<h3>According to the given information :</h3>
The odds in favor of jim beating a friend at golf are = 1:8
Let A be the event that Jim beating a friend golf.
So,
according to ratio, it becomes
P(A)/P(A') = 1/8
P(A) = 1x
P(A') = 8x
we know that :
P(A) + P(A') = 1
x + 8x = 1
9x = 1
x = 1/9
so that
P(A) = 1/9
P(A') = 8/9
the probability that jim will win = P(A) = 1/9
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Answer:
4x +y = 3
Step-by-step explanation:
Perpendicular lines have slopes that are the negative reciprocals of one another. When the equation of the line is written in standard form like this, the equation of the perpendicular line can be written by swapping the x- and y-coefficients and negating one of them. Doing this much would give you ...
4x +y = (constant)
Note that we have chosen to make the equation read 4x+y, not -4x-y. The reason is that "standard form" requires the leading coefficient to be positive.
Now, you just need to make sure the constant is appropriate for the point you want the line to go through. So, it needs to be ...
4(2) +(-5) = constant = 3
The line of interest has equation ...
4x + y = 3