Answer:
$19.55
Step-by-step explanation:
17*0.15=2.55
17+2.55=19.55
1/112 or 0.008929 hope that helps
Hello!
The problem has asked that we write a
point-slope
equation of the line in the image above.
Point-Slope Form uses the following formula:
y –
![y_{1}](https://tex.z-dn.net/?f=%20y_%7B1%7D%20)
= m(x –
![x_{1}](https://tex.z-dn.net/?f=%20x_%7B1%7D%20)
)
In this case, M represents the
slope while
![X_{1}](https://tex.z-dn.net/?f=%20X_%7B1%7D%20)
and
![Y_{1}](https://tex.z-dn.net/?f=%20Y_%7B1%7D%20)
represent the
corresponding X and Y values of any given point on the line.
We are given that the slope of the line is -
![\frac{5}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B7%7D%20)
. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that
![X_{1}](https://tex.z-dn.net/?f=X_%7B1%7D%20)
is equal to
6 and
![Y_{1}](https://tex.z-dn.net/?f=Y_%7B1%7D%20)
is equal to
2. Now insert all known values into the point-slope formula above:
y – 2 = -
![\frac{5}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B7%7D%20)
(x – 6)
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that
the answer is C.
I hope this helps!
Answer:
.
Step-by-step explanation:
If two equations
and
has infinitely many solutions, then
The given equations are
It is given that the above system of equations has infinitely many solutions. So,
Now,
and
and
and
So, a=1.5 and b=2.
Now,
Therefore,
.
Answer:
a.) Probability = 1/5
b.) 10 soda
Step-by-step explanation:
Probability is a game of chance.
The initial chance = 1/12
If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5
Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,
Probability > 1/2
You would have to buy (12 - 2) soda. Which is equal to 10.