Alright, lets get started.
Jim was thinking of a number.
Suppose the number Jim was thinking, is x.
Jim adds 20 to it means number will be = 
And Jim doubles it, means 
Jim gets 99.2 and as per us, he gets 
So, making them equal


Subtracting 40 in both sides



It means the original number is 29.6. : Answer
Hope it will help :)
To find the total cost of Mikayla's purchase, we add together the costs of the skirts and tops. The costs of the skirts can be found be multiplying the quantity bought by the cost per skirt. Same goes for the tops.
5x + 3(9)
Simplified:
5x + 27
Answer:
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
Step-by-step explanation:
We have been given the equation y=ab^(x-h) +k and we have to state that how the value of k affect the graph.
We know that if we add/subtract some constant in the function value then the translation of the parent graph occurs in the vertical direction.
In other words, the parent graph either get shifted upward or downward depends on the value of the constant.
Therefore, we have
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
Answer:
x = 9.7
Step-by-step explanation:
Reference angle (θ) = 68°
Opposite = 24
Adjacent = x
Apply, the trigonometric function, TOA which is:

Plug in the values

Multiply both sides by x

Divide both sides by tan 68

x = 9.69662942
x = 9.7 (nearest tenth)