If Aneesha travels at a rate of
50 miles............................1h
and 1mile=5280ft, therefore 50 miles = 264000 ft
and 1 h =3600 seconds we can say that Aneesha travels
264,000 ft in 3600 seconds or
264,000/3600= 73.33 ft/s
Morris travels 3 ft per second less than her
so 73.33-3=70.33 ft/s for Morris
Let
the length and
the width. By the ratio of the sides:
Now, we'll find the perimeter p. We'll use the formula below:
The area of a rectangle is
. Then:
Let x = amount of 45% antifreezeLet y = amount of 70% antifreeze EQUATION 1: x + y = 150 (total of 150 gallons mixed) EQUATION 2: .45x + .75y = .55(x + y) Simplify and solve the system of equations Multiply second equation by 100 on both sides to remove the decimals 45x + 75y = 55(x + y) Combine like terms 45x + 75y = 55x + 55y 45x - 55x + 75y - 55y = 0 -10x + 20y = 0 Now we have the following system of equations: x + y = 150 -10x + 20y = 0 Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x 10x + 10y = 1500 -10x + 20y = 0 ------------------------------ 30y = 1500 Solve for y 30y = 1500 y = 50 Since the total mixed gallons is 150, x = 150 - 50 = 100 So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze
Let’s first cut/separate this figure into two shapes: rectangle and a triangle
The area of the rectangle: 9 • 2 = 18
The area of the triangle: 1/2 • 8 • 4 = 16
The total area: 18 + 16 = 34
He needs 34 m square of grass
Answer:
6 inches
Step-by-step explanation:
The volume of a box can be calculated with the simple formula 
, where l represents length, w represents width, and h represents height. You know that 
, so dividing both sides by 13 and 6 yields h=6 inches. Hope this helps!
