Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3 + 2x)(2 +2x) = 8
The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
Answer:
x = √226
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
In that case, plug in <em>a </em>and <em>b</em>,
15² + 1² = c²
c = √(15² + 1²)
c = 15.0333
This is NOT a Pythagorean triple.
Answer:
Kira sent 19 text messages, Goran sent 14 text messages and Joe sent 57 text messages.
Step-by-step explanation:
Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.
We know know that they sent a total of 90 text messages then:
Goran sent 5 fewer messages than Kira. This is:
And Joe sent 3 times as many messages as Kira. Then:
The steps to solve this are:
- Substitute the second equation and the third equatio into the first equation and then solve for "k":
- Substitute this value into the second equation to find "g":
- Substitute the value of "k" into the third equation to find "j":
Answer: $2,393.42
Step-by-step explanation:
I suppose that the salary is yearly.
So in one year, 365 days, the net pay would be $62,400.
Now, "by-weekly" refers to two weeks or 14 days.
If she gets paid $62,400 in 365 days.
Then in 14 she gets paid.
N = (14/365)*$62,400 = $2,393.42
Answer:
£162.35.
Step-by-step explanation:
Total of letters + packages = 300.
Number of packages = 300 * 16 / ( 16+59)
= 300 * 16/75
= 64
So number of letters = 300 - 64 = 236.
No. of first class letters = 236 * 1/4 = 59.
No. of 2nd class letters = 236 - 59 = 177.
Total cost
= 64*1.2 + 0.52*59 + 0.31*177
= 162.35.
