<u>ANSWER: </u>
A sculpture of a giant cube contains 1000 cubes within it .Along side of each edge of a giant cube there are 10 small cubes.
<u>SOLUTION</u>:
Given that a giant cube has 1000 cubes in it.
Let , length of the giant cube be L
Length of each small cube be v
Then, volume of giant cube = 
Volume of small cube = 
According to the given problem, Volume of giant cube must be equal to 1000 small cubes volume.
Apply cube root on both sides
![\sqrt[3]{L^{3}}=\sqrt[3]{1000 \times v^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BL%5E%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B1000%20%5Ctimes%20v%5E%7B3%7D%7D)
![\sqrt[3]{L^{3}}=\sqrt[3]{(10 v)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BL%5E%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B%2810%20v%29%5E%7B3%7D%7D)
![\sqrt[3]{L^{3}} = \sqrt[3]{(10 v)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BL%5E%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B%2810%20v%29%5E%7B3%7D%7D)
From above equation we can say that along side of each edge of a giant cube there are 10 small cubes.
Answer:
(-29)/30
Step-by-step explanation:
Simplify the following:
-(2 + 4/5) + (1 + 5/6)
Put 2 + 4/5 over the common denominator 5. 2 + 4/5 = (5×2)/5 + 4/5:
-(5×2)/5 + 4/5 + 1 + 5/6
5×2 = 10:
-(10/5 + 4/5) + 1 + 5/6
10/5 + 4/5 = (10 + 4)/5:
-(10 + 4)/5 + 1 + 5/6
10 + 4 = 14:
-14/5 + 1 + 5/6
Put (-14)/5 + 1 + 5/6 over the common denominator 30. (-14)/5 + 1 + 5/6 = (6 (-14))/30 + 30/30 + (5×5)/30:
(6 (-14))/30 + 30/30 + (5×5)/30
6 (-14) = -84:
(-84)/30 + 30/30 + (5×5)/30
5×5 = 25:
(-84)/30 + 30/30 + 25/30
-84/30 + 30/30 + 25/30 = (-84 + 30 + 25)/30:
(-84 + 30 + 25)/30
| 3 | 0
+ | 2 | 5
| 5 | 5:
(55 - 84)/30
55 - 84 = -(84 - 55):
(-(84 - 55))/30
| 7 | 14
| 8 | 4
- | 5 | 5
| 2 | 9:
Answer: (-29)/30
Answer:
All real numbers are solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(2x+3)=−4(x+1)−2
Step 1: Simplify both sides of the equation.
−2(2x+3)=−4(x+1)−2
(−2)(2x)+(−2)(3)=(−4)(x)+(−4)(1)+−2(Distribute)
−4x+−6=−4x+−4+−2
−4x−6=(−4x)+(−4+−2)(Combine Like Terms)
−4x−6=−4x+−6
−4x−6=−4x−6
Step 2: Add 4x to both sides.
−4x−6+4x=−4x−6+4x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
Answer:
All real numbers are solutions.
Answer:
0.87
Step-by-step explanation:
0.8/4=0.2
0.7-0.81=-0.11
3*-0.11=-0.33
1.2+-0.33=0.87
Yes because you can multiply 3/4 by 9/9 and you’ll get 27/36 :)
