Number of sodas sold = 130
Number of hot dogs sold = 65
Step-by-step explanation:
Given,
Combined number of sodas and hot dogs sold = 195
Let,
x represent the number of sodas sold
y represent the number of hot dogs sold
According to given statement;
x+y=195 Eqn 1
x = 2y Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 3

Putting y=65 in Eqn 2

Number of sodas sold = 130
Number of hot dogs sold = 65
Keywords: linear equation, substitution method
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Since both equations are equal to y you can just make them equal to each other, like this 3x + 7 = x - 9. From there isolate the varible x on one side so that the solution will be on the other side of the equation. I'll do the steps too for you.
3x + 7 = x - 9
2x + 7 = -9
2x = -16
x = -8
Hope this helps :)
Answer:
The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Step-by-step explanation:
The prices are given to be : 59, 60, 65, 99, 175
Standard deviation = $49
Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.
But, we add a new price in the given data that is $450

Hence, Standard deviation is calculated to be 139.5
Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Let the amount deposited (principal) be x, then the amount after the required time = 2x.
A = P(1 + r/n)^nt: where A is the future value = 2x, P is the principal = x, r is the rate = 0.75%, n is the number of accumulation in a year = 12, t is the number of years.
2x = x(1 + 0.0075/12)^12t
2 = (1 + 0.000625)^12t
log 2 = 12t log (1.000625)
log 2 / log (1.000625) = 12t
1109.38 = 12t
t = 92 years