24/4=6
so 6 pieces on each side, since a rectangle is a square
The dog with the weight of 110lbs is the outlier in the equation--since the other dogs only range from 20 to 35 lbs.
Answer:
Matha - Jim = 200 feet.
Step-by-step explanation:
<em><u>Jim's distance</u></em>
J = sqrt(w^2 + L^2)
J = sqrt(300^2 + 400^2)
J = sqrt(900 + 1600)
J = sqrt(2500)
J = 500
<em><u>Martha's distance</u></em>
M = 300 + 400
M = 700 Feet
Answer
M - J = 700 - 500 = 200
Jim walks 200 feet less than Martha.
Answer: 2/3ft or C
Step-by-step explanation: Solve for b in the area of a triangle equation, A=1/2bh. Multiply 1/2 by 2 on both sides to cancel it: A(2)=bh. Divide both sides by h:
=b
A = 2/5
h = 6/5
b = ?
Next, we can plug the numbers into this equation:
=b
Multiply 2 and 2/5: 4/5 / 6/5
Take the reciprocal of 6/5: 4/5 x 5/6 = 
÷
= 
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9