Solve for z:
5 (z + 6) - 2 = 9 z
5 (z + 6) = 5 z + 30:
5 z + 30 - 2 = 9 z
Add like terms. 30 - 2 = 28:
5 z + 28 = 9 z
Subtract 9 z from both sides:
(5 z - 9 z) + 28 = 9 z - 9 z
5 z - 9 z = -4 z:
-4 z + 28 = 9 z - 9 z
9 z - 9 z = 0:
28 - 4 z = 0
Subtract 28 from both sides:
(28 - 28) - 4 z = -28
28 - 28 = 0:
-4 z = -28
Divide both sides of -4 z = -28 by -4:
(-4 z)/(-4) = (-28)/(-4)
(-4)/(-4) = 1:
z = (-28)/(-4)
The gcd of 28 and -4 is 4, so (-28)/(-4) = (-(4×7))/(4 (-1)) = 4/4×(-7)/(-1) = (-7)/(-1):
z = (-7)/(-1)
(-7)/(-1) = (-1)/(-1)×7 = 7:
Answer: z = 7
Answer:
Taybrownies1359Step-by-step explanation:
np
I saw the figure of the fishpond. It composed of a rectangle and a circle. The circle is cut into two and each half is attached to the width of the rectangle making an oblong shaped fishpond.
Length of the rectangle: 2.5 inch
Width of the rectangle and diameter of the circle: 1 inch
1/2 inch equals 15 feet.
2.5 inches = 75 feet
1 inch = 30 feet
Area of a rectangle = 75 ft * 30 ft = 2,250 ft²
Area of a circle = 3.14 * (15ft)² = 3.14 * 225ft² = 706.50 ft²
Total Area = 2,250 ft² + 706.50 ft² = 2,956.50 ft²
Answer:
c = 420t . . . . c is calories burned; t is hours riding at 15 mph
Step-by-step explanation:
There is not enough information given to write a function rule relating all the variables to calories burned. If we assume that calories are burned at the constant rate of 420 calories per hour, then total calories will be that rate multiplied by hours:
c = 420·t
where c is total calories burned by the 154-lb person, and t is hours riding at 15 mph.
___
In general, rates are related to quantities by ...
quantity = rate · time . . . . . where the rate is (quantity)/(time period)
