X = 2
A square has 4 sides. To get the perimeter of a square, you could multiply the length of one side by 4.
One side of the larger triangle is x inches plus an additional 8 inches, which can be written as (x+8)
To get the perimeter of the larger square, multiply the expression (x+8) by 4. The question states the larger square’s perimeter is 40 inches.
You end up with this equation: 4(x + 8) = 40
To solve first distribution 4 into (x + 8).
4x + 32 = 40 | subtract 32 from both sides
4x = 8 | divide each side by 4
x = 2 inches
So the side length of the original square is 2 inches. To check your work, go back and plug x = 2 into the original equation. 8 in + 2 in = 10 inches, and 10 inches x 4 = 40 inches, so x = 2 is the solution
Then the original price was $42
Because it is half off we multiply 21 by 2 and get 42.
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true; hence making it have no solution.
Answer:
36
Step-by-step explanation:
Sean purchased a printer and laptop
He sold both for 1,500
He sold the laptop at 1,350
Therefore the cost of the printer can be calculated as follows
1500-1350
= 150
24/100×150
= 0.24×150
= 36
Henve the cost of the printer is £36
Answer: ![P=0.975^t](https://tex.z-dn.net/?f=P%3D0.975%5Et)
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. ![P=\frac{A(1-0.02)^t}{A}=\frac{(0.975)^t}{1}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BA%281-0.02%29%5Et%7D%7BA%7D%3D%5Cfrac%7B%280.975%29%5Et%7D%7B1%7D)
Hence, the ratio of remaining since the nuclear accident is ![P=0.975^t](https://tex.z-dn.net/?f=P%3D0.975%5Et)