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Ede4ka [16]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0
   x = 36.2  .
______________________________________________

Explanation:
________________________________________________
2x - 1 + 3x = 180 ;

Combine the "like terms" on the left-hand side of the equation:
________________________________________________
   +2x  + 3x = + 5x ;
_____________________________________
 And rewrite:
_____________________________________
   5x - 1 = 180 ;
_____________________________________
  Add "1" to each side of the equation:
_____________________________________
   5x - 1 + 1 = 180 + 1 ;
_____________________________________
     5x = 181 ;  
_____________________________________
  Divide EACH SIDE of the equation by "5" ;
_____________________________________
     5x / 5 = 181 / 5 ;
_____________________________________
   to get:
_____________________________________
  x = 36.2  .
_____________________________________
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What is 31,084.5 expanded notation
Svet_ta [14]

Answer:

30000+1000+80+4+0.5

Step-by-step explanation:

Expanded notation can be defined as to rewrite the numbers to show their place values

For example in the given question 3 is at the tenth thousand place, 1 is at the thousand'th place,8 at tenth and 4 at unit place so the solution for the question is given below:

30000+1000+80+4+0.5

3×10000+1×1000+8×10+4×1+(5×1÷10)

3 0
2 years ago
75 points. Will give certified if work is shown and the answer is correct.
Svetach [21]
Volume of the first dwarf planet (r₁ = 832 mi):

V_1=\dfrac{4}{3}\cdot\pi\cdot r_1^3=\dfrac{4}{3}\cdot\pi\cdot 832^3=\dfrac{2303721472}{3}\pi\approx7.679\cdot10^8\pi\,\text{mi}^3

Volume of the second dwarf planet (r₂ = 829 mi):

V_2=\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\cdot\pi\cdot 829^3=\dfrac{2278891156}{3}\pi\approx7.5963\cdot10^8\pi\,\text{mi}^3

So difference between the volumes is:

V_1-V_2\approx7.679\cdot10^8\pi-7.5963\cdot10^8\pi=0.0827\cdot10^8\pi=\boxed{8270000\pi\,\text{mi}^3}

or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):

V_1-V_2=\dfrac{4}{3}\cdot\pi\cdot r_1^3-\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\pi(r_1^3-r_2^3)=\dfrac{4}{3}\pi(832^3-829^3)=\\\\\\=\dfrac{4}{3}\pi(832-829)(832^2+832\cdot829+829^2)=\\\\\\=\dfrac{4}{3}\pi\cdot3(692224+689728+687241)=4\pi\cdot2069193=\boxed{8276772\pi\,\text{mi}^3}
3 0
2 years ago
Solve the system of equations using elimination 2x+y=3 and 3x-y=12
Eddi Din [679]
2x + y = 3
3x - y = 12
Add both equations
5x = 15, x = 3
2(3) + y = 3
6 + y = 3, y = -3
Solution: x = 3, y = -3... or (3,-3)
3 0
3 years ago
Can someone plz help me with this one problem plzzzzz!!!
Svet_ta [14]
Answer


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step-by-step






4 0
3 years ago
7/9 Z - 6/9 + 6 -5 / 9 Z - 9 simplify​
stepladder [879]

Answer:=2/9z+−11/3. the reason why this would answer is because you would have to combine like terms

8 0
3 years ago
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