Answer:
![\large \boxed{\text{8 m}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Ctext%7B8%20m%7D%7D)
Step-by-step explanation:
Let side of triangle = x
And side of rectangle = y
Perimeter of triangle = 3x
Perimeter of rectangle = 4y
We have two conditions:
![\begin{array}{lrcl}(1) & y & = & x + 10\\(2) &4y & = & 3\times 3x\\& 4y & = & 9x\\& 4(x + 10) & = & 9x\\& 4x + 40 & = & 9x\\& 40 & = & 5x\\& x& = &\mathbf{8}\\\end{array}\\\text{Each side of the triangle is $\large \boxed{\textbf{8 m}}$ long.}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcl%7D%281%29%20%26%20y%20%26%20%3D%20%26%20x%20%2B%2010%5C%5C%282%29%20%264y%20%26%20%3D%20%26%203%5Ctimes%203x%5C%5C%26%204y%20%26%20%3D%20%26%209x%5C%5C%26%204%28x%20%2B%2010%29%20%26%20%3D%20%26%209x%5C%5C%26%204x%20%2B%2040%20%26%20%3D%20%26%209x%5C%5C%26%2040%20%26%20%3D%20%26%205x%5C%5C%26%20x%26%20%3D%20%26%5Cmathbf%7B8%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BEach%20side%20of%20the%20triangle%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B8%20m%7D%7D%24%20long.%7D)
Answer:
D, I don't know, and 1 + 3
Step-by-step explanation:
D I'm not 100% sure on, 2 I have no clue, and the third is just swapping the signs because you are flipping over the axis. I hope I could help you!
Answer:
$2.04Step-by-step explanation:x= grapes X + 5.28 =7.32.
Using systems of equations, we need to eliminate one variable to make it into a 1 variable equation either using elimination or substitution.
Equation 1: 4x - 5y = 18
Equation 2: 5x+y = 58
For equation 2, there is only one y which makes it easy to substitute. So subtract 5x from both sides of the equation to get
y = -5x+58
Then we know what y is in terms of x, so plug it into equation 1.
4x - 5(-5x+58) = 18
It is now an equation with only 1 variable, which we can solve.
Distribute the -5 to (-5x+58)
4x+25x-290 = 18
Combine like terms
29x-290 = 18
Add 290 to both sides
29x = 308
Divide both sides by 29 to isolate the x
x = 308/29 wow what an ugly number, but its alright
Plug in x to equation 2 to find what y is
5(308/29)+y = 58
1540/29+y = 58
Subtract 1540/29 from both sides
y = 142/29
The y value is 142/29
Answer: C) twelve over fifty one
Step-by-step explanation:
Formula for probability =![\dfrac{\text{Favorable outcomes}}{\text{Total ouctomes}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20ouctomes%7D%7D)
We know that , a standard deck has 52 cards.
Number of hearts = 13
If a heart was drawn on the first draw and not replaced, then the number of hearts left = 13-1=12 (favorable outcomes)
The total number of cards left = 52-1=51 (total outcomes)
Therefore, the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced would be :-
![\dfrac{\text{Number of hearts left}}{\text{Total cards left}}\\\\=\dfrac{12}{51}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BNumber%20of%20hearts%20left%7D%7D%7B%5Ctext%7BTotal%20cards%20left%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B12%7D%7B51%7D)
Hence, the correct answer is option C) twelve over fifty one