Step One
Deduct 32 from both sides.
F - 32 = \frac{9}{5}(k - 273.15)
Step Two
Multiply each side by \frac{5}{9}.
\frac{5}{9}(F - 32) = \frac{5}{9} \times \frac{9}{5}(k - 273.15)
\frac{5}{9}(F - 32) = k - 273.15
Step Three
Add 273.15 to both sides.
\frac{5}{9}(F - 32) + 273.15 = k
Problem B
F = 180
Solve for k
k = \frac{5}{9}(F - 32) + 273.15
k = \frac{5}{9}(180 - 32) + 273.15
k = \frac{5}{9} \times 148 + 273.15
k = 82.2222 + 273.15
k = 355.3722
k = 355.4 <<< Answer
Answer:
The illustration provided shows the graph
Step-by-step explanation:
Let
x ------> number of times Emma cuts the grass
y ------> hours Emma spends babysitting
it is known that
------> represents the inequality of the scenario
The solution is the shaded region above the solid line where both x and y are positive
The equation for the solid line is represented as 
The slope of the line is negative 
The y-intercept is at the point
(the y-value when x is zero)
The x-intercept is at
(the x-value when y equals zero)
therefore
The illustration provided shows the graph
Response:
The probability that a student has a pet, given they do not have any siblings is:
Option: D ( 60%)
Step-by-step breakdown:
Let A represent the situation where a student lacks a sibling.
Let B signify the occurrence that a student has a pet.
Consequently, A∩B refers to the event in which a student is without siblings but possesses a pet.
Let P denote the chance of an event happening.
We need to determine:
P(B|A)
From our knowledge:

From the data provided:
P(A)=0.25
and P(A∩B)=0.15
Thus,

which expressed as a percentage is:

Therefore, the probability is:
60%
I genuinely don’t grasp this response; it seems quite challenging.