Given that the table shows the total miles Uyen has run this week.
The image of the table is attached below.
The total distance from the table is 
The total distance this week is 1.5 times the distance that she ran last week.
We need to determine the number of miles that Uyen run last week.
<u>The number of miles Uyen run last week:</u>
Let x denote the number of miles that Uyen run last week.
Let us write the equation from the given data.
Thus, we have;

Dividing both sides by 1.5, we have;

Hence, the value of x is 14.8 miles.
Thus, Uyen ran 14.8 miles last week.
Step-by-step explanation:
a)
dy/dx = 4x √(1 − y²)
Separate the variables:
dy / √(1 − y²) = 4x dx
Integrate:
sin⁻¹ y = 2x² + C
Solve for y:
y = sin(2x² + C)
b)
Plug in initial value.
4 = sin(0 + C)
Sine cannot be greater than 1, so there is no solution.
Answer:
260x = 170
x=170/260 * 100% = 65.4 %
Step-by-step explanation:
Answer:
6x-18
Step-by-step explanation:
(2x-6)+4(x-3)
you distribute the 4 by multiplying it with the variables within the parenthesis.
(2x-6)+(4x-3)
you can loose the parenthesis and group common factors together.
2x+4x-6-3
add
<u>6x-18</u>
The answer would be 92 by 92. Rectangular area only refers to the shape of the area. Squares are special types of rectangles.
368/4 equals 92.
I divided by 4 because a rectangle has four sides.