9514 1404 393
Answer:
Step-by-step explanation:
If we let x represent one of the numbers, then you want ...
x(58 -x) = 201.25
x² -58x +201.25 = 0 . . . . . put in standard form
(x² -58x +29²) +201.25 -29² = 0 . . . . complete the square
(x -29)² -639.75 = 0
x -29 = ±√639.75 . . . . . add 639.75 and take the square root
x = 29 ±√639.75 . . . . . . add 29
The two numbers of interest are ...
29 +√639.75 ≈ 54.2933
29 -√639.75 ≈ 3.7067
Answer:
£160,000
Step-by-step explanation:
Alice bought the house in 2008 for £x.
In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)
In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)
In 2019, it sold for £182,400.
0.95(1.2x) = 182,400
1.14x = 182,400
x = 182,400/1.14
x = 160,000
Answer: £160,000
* Explanation of 1.2 and 0.95.
A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.
Example of percent increase:
A book used to cost £10. The price went up by 12%. What is the new price?
100% + 12% = 112% = 1.12
1.12 * £10 = £11.20
Example of percent decrease:
A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?
100% - 35% = 65% = 0.65
0.65 * £60 = £39
Answer:
9/40
Step-by-step explanation:
3/5 * 3/8
Multiply the numerators
3*3 = 9
Multiply the denominators
5*8 = 40
9/40
The fraction does not simplify
216 inches (12×18) is ur answer
162 m^2
you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)
and s^2=162
