Given:
The expression is 
.
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,
Now,
There are more ways to apply the parenthesis, but we do not get 19.
And many more possibilities.
Therefore, the expression after inserting the parentheses is 
.
Answer:
(24x + 24) units
Step-by-step explanation:
A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:
Perimeter = 2(length + width)
Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:
Perimeter = 2(2x + 11 + 10x + 1)
Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)
Perimeter = (24x + 24) units
Answer:
4/5 is NOT equivalent to 45%
Step-by-step explanation:
4/5 = 80%
The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.
Step-by-step explanation:
Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.
Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)
Period between the values =Final year - initial year = 2008 - 1980 = 28 years.
Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.
Rate of change per year = Difference in values in that period/ no of years.
= -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)
So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.
Answer:
Step-by-step explanation:
It is given that the distance of the nearest exit door is no more than the 200 feet. so this can be represented using an inequality.
since it is no more than 200 means the maximum it can be is 200 feet .
Now we are representing the distance using the variable d and we have established that the maximum value of d can be 200 so it can represented
by this inequality
