Answer:
1 1/15
Step-by-step explanation:
(I think)
And I am not a very good explainer
(sorry)
![▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪](https://tex.z-dn.net/?f=%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%20%20%7B%5Chuge%5Cmathfrak%7BAnswer%7D%7D%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA)
Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft
Therefore it's Area is equal to : -
Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~
that is ~
It's time to find the volume of cube that is ~
So, let's plug the value of side length (1/2 ft)
Volume is equal to ~
Hence, the required 1/8 or 0.125 ft³
I hope it helped ~
![\mathrm{✌TeeNForeveR✌}](https://tex.z-dn.net/?f=%5Cmathrm%7B%E2%9C%8CTeeNForeveR%E2%9C%8C%7D)
Answer:
→<u> </u><u>First</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>1</u>
→<u> </u><u>Second</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>2</u>
→<u> </u><u>Third</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>5</u>
Step-by-step explanation:
• let numbers be x, y and z
![{ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bz%20%3D%208y%20-%209%20-%20%20-%20%20-%20%28eqn%20%5C%3A%201%29%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B10x%20%3D%208y%20-%207%20-%20%20-%20%20-%20%28eqn%20%5C%3A%202%29%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bx%20%2B%20y%20%2B%20z%20%3D%208%20-%20%20-%20%20-%20%28eqn%20%5C%3A%203%29%7D%7D)
• from eqn 2, make x the subject:
![{ \tt{x = \frac{8y - 7}{10} }} \\](https://tex.z-dn.net/?f=%20%7B%20%5Ctt%7Bx%20%3D%20%20%5Cfrac%7B8y%20-%207%7D%7B10%7D%20%7D%7D%20%5C%5C%20)
• substitute all variables in eqn 3:
![{ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%20%5Cfrac%7B8y%20-%207%7D%7B10%7D%20%20%2B%20y%20%2B%208y%20-%209%20%3D%208%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B8y%20-%207%20%2B%2010y%20%2B%2080y%20-%2090%20%3D%2080%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B98y%20%3D%20177%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7B%20%5C%3A%20y%20%3D%201.8%7D%7D%7D)
• find z
![{ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bz%20%3D%208y%20-%209%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bz%20%3D%208%281.8%29%20-%209%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bz%20%3D%2014.4%20-%209%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7B%20%5C%3A%20z%20%3D%205.4%20%5C%3A%20%7D%7D%7D)
• find x:
![{ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bx%20%3D%20%20%5Cfrac%7B8%281.8%29%20-%207%7D%7B10%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bx%20%3D%20%20%5Cfrac%7B7.4%7D%7B10%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7B%20%5C%3A%20x%20%3D%200.74%20%5C%3A%20%7D%7D%7D)
Rounding to nearest value:
![{ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Crm%7Bx%20%3D%201%7D%7D%7D%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Crm%7By%20%3D2%20%7D%7D%7D%20%5C%5C%20%7B%20%5Cboxed%7B%20%20%5Crm%7Bz%20%3D%205%7D%7D%7D)