Answer:
See below,please.
Step-by-step explanation:
Volume of water = meter reading (11) - meter reading (8)
=
![= 4598 - 4559 = 39 {m}^{3}](https://tex.z-dn.net/?f=%20%3D%204598%20-%204559%20%3D%2039%20%7Bm%7D%5E%7B3%7D%20)
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
x = total amount of students in 8th Grade.
we know only one-thrid of the class went, so (1/3)x or x/3 went.
we also know 5 coaches went too, and that the total amount of that is 41.
![\bf \stackrel{\textit{one third of all students}}{\cfrac{1}{3}x}+\stackrel{\textit{coaches}}{5}=\stackrel{\textit{total}}{41}\implies \cfrac{x}{3}+5=41\implies \cfrac{x}{3}=41-5 \\\\\\ \cfrac{x}{3}=36\implies x=3(36)\implies x=108](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bone%20third%20of%20all%20students%7D%7D%7B%5Ccfrac%7B1%7D%7B3%7Dx%7D%2B%5Cstackrel%7B%5Ctextit%7Bcoaches%7D%7D%7B5%7D%3D%5Cstackrel%7B%5Ctextit%7Btotal%7D%7D%7B41%7D%5Cimplies%20%5Ccfrac%7Bx%7D%7B3%7D%2B5%3D41%5Cimplies%20%5Ccfrac%7Bx%7D%7B3%7D%3D41-5%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7Bx%7D%7B3%7D%3D36%5Cimplies%20x%3D3%2836%29%5Cimplies%20x%3D108)
now, to verify, well, what do you get for (108/3) + 5?
Answer:
2kg
Step-by-step explanation:
Let the sum of the other 2 bricks be R. Given that the heaviest brick weighs 2/3 times as much as the other 2 bricks in total, then the weight of the heaviest brick H in terms of the weight of the other 2 will be
H = 2/3 * R
= 2R/3
Given that the 3 bricks weigh 5kg in total then,
2R/3 + R = 5
Multiply through the equation by 3
2R + 3R = 15
5R = 15
Divide both sides by 5
R = 15/5
= 3
The weight of the heaviest brick is 2R/3. Since R = 3, the heaviest block weighs
= 2 * 3/3
= 2kg
Answer:
D. (bottom right)
Step-by-step explanation:
If there is a line where y = x, that means that y and x can both equal 1, 2, 3, -1, -2, -3, etc. They are just always the same. This line, then, would pass through (just for example) (-4, -4) and (4, 4). If you reflect the pink figure across that line, you will get the blue figure. Hope this helps!