You have a gross income of $117,151 and are filing your tax return singly. You claim one exemption and can take a deduction of $
2 answers:
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Answer:
The number of stores in California 42
The number of stores in Nevada 18
Step-by-step explanation:
Given as :
The total sandwich shop in California and Nevada = 60
The percentage of shop in California = 70%
So, The percentage of shop in Nevada = 100% - 70% = 30%
Let The number of stores in California = c
And The number of stores in Nevada = n
Now, According to question
The number of stores in California = 70% of the total number of shops
I.e c = × total number of shops
Or, c = × 60
∴ c =
or, c =
or, c = 42
So, The number of stores in California = c =42
Again
The number of stores in Nevada = 30% of the total number of shops
I.e n = × total number of shops
Or, n = × 60
∴ n =
or, n =
or, n = 18
So, The number of stores in Nevada = n = 18
Hence The number of stores in California 42
And The number of stores in Nevada 18 Answer
Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
