<span>The flag's dimensions are 40 inches by 55 inches.
Reasoning<span>:
The perimeter equals the sum of all sides. Being rectangular, opposite sides have equal lengths. Thus, the equation is
y + 11/8 y + y + 11/8 y = 190.
Simplifying, we get
2y + 22/8 y = 190.
Expressing 22/8 as a mixed fraction results in
2y + 2 3/4 y = 190.
Combining terms: 4 3/4 y = 190.
Divide both sides by 4 3/4:
y = 190 ÷ 4 3/4.
Converting 4 3/4 to an improper fraction: y = 190 ÷ 19/4.
Dividing by a fraction means multiplying by its reciprocal:
y = 190 × 4/19 = 760/19 = 40.
Since y = 40, calculate 11/8 y = 11/8 × 40 = 440/8 = 55.</span></span>
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Based on the details provided:
Employees with less than 3 years receive an increase of $0.50 hourly
Employees with at least 3 years but under 6 years receive $1.00 increase hourly
Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly
Employees with at least 9 years but below 12 years receive $2.00 increase hourly
This information can be expressed as a piecewise function:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The conditions are outlined in the piecewise function above with x indicating the number of years employed.
The missing value associated with 
is 
Explanation:
The provided equation for the table is 
This table consists of 2 columns and 5 rows.
<pconsequently it="" states="">
x y
-2 10
-1 ---
0 2
1 -2
2 -6
To find the value for y when
The value of y can be ascertained by substituting into the equation
<pthus we="" determine="">
<pmultiplying the="" term="" within="" brackets="" yields="">
<psumming the="" terms="" we="" find="">
<pso the="">value of y when
is 6.Hence, the value for is
</pso></psumming></pmultiplying></pthus></pconsequently>
We apply the slope formula by substituting the given points.
Here, x2 equals 5 and x1 equals -2; y2 equals -3 and y1 equals 6.
Thus, the line's slope is -9 divided by 7.
Define x as the distance in miles. This scenario can be expressed with the inequality 0.5x + 3 < 10, where x corresponds to the miles traveled. To solve this, begin by subtracting 3 from each side, followed by dividing everything by 0.5. The outcome indicates x < 14, meaning Carl can cover less than 14 miles, though he is 15 miles away from his destination; therefore, he will opt for a bus instead.
