To solve any equation, we have to get the variables and the constants (numbers) on opposite sides of the equals sign.
First, we have to combine the like terms on the left side of the equation, resulting in
7a - 9 = 30
Then, because we want the constants on the right side of the equation, we have to +9 to cancel out the -9 on the left side.
7a=39
Next, the a has a coefficient of 7, which it is multiplied by. To undo multiplication, you have to divide. Therefore, we should divide both sides by 7.
a= 5 4/7 or 5.57142857143
In improper fraction form, a = 39/7, as this fraction cannot be simplified any farther.
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
We know that
[volume of the prism]=L*W*H
L=x²*y in
W=x in
H=y² in
[volume of the prism]=(x²*y)*(x)*(y²)-----> x³*y³ in³
the answer is
x³*y³ in³
Answer:
a) The maximum amount of water the aquarium can hold is 1728 in³.
b) The cover has to be 624 in² big.
Step-by-step explanation:
a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:
V=L×W×H=18 in × 8 in × 12 in= 1728 in³
b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:
One of them is given by the multiplication of the width and the height:
A₁= W×H= 8 in × 12 in=96 in²
The other area is given by the multiplication of the length and the height:
A₂= L×H= 18 in × 12 in= 216 in²
As the fish aquarium is rectangular the area of the walls is given by:
=2×96 in²+2×216 in²=624 in²
Answer:
484,000
Step-by-step explanation:
The hundreds place is less than 5 so you round down.
