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wlad13 [49]
3 years ago
15

During a field trip to a local soda

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer:

the answer is 18 min

Step-by-step explanation:

if you times 1.5 times 12 you get 18

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Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9
erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable  z  

 

 [3]    5z = -2x - 2y + 9

 [3]    z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable  z  in equation [1]

  [1]    5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

  [1]    7x/5 + 27y/5 = -56/5

  [1]    7x + 27y = -56

__________________________________________________________

// Plug this in for variable  z  in equation [2]

  [2]    4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

  [2]    8x/5 + 33y/5 = -4/5

  [2]    8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable  y  

 

 [2]    33y = -8x - 4

 [2]    y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable  y  in equation [1]

  [1]    7x + 27•(-8x/33-4/33) = -56

  [1]    5x/11 = -580/11

  [1]    5x = -580

__________________________________________________________

// Solve equation [1] for the variable  x  

  [1]    5x = - 580  

  [1]    x = - 116

__________________________________________________________

// By now we know this much :

   x = -116

   y = -8x/33-4/33

   z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the  x  value to solve for  y  

   y = -(8/33)(-116)-4/33 = 28

__________________________________________________________  

// Use the  x  and  y  values to solve for  z  

 z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped  _____________________│    

│~Derelis ____________________________ │

╨___________________________________╨                  

4 0
3 years ago
What is 12 5​ as a mixed number in simplest form?<br> 25
san4es73 [151]

Answer:

5−4+4=16+4

Step-by-step explanation:

8 0
2 years ago
Given the line a and b are parallel angles 1 and5 are congruent because they are
kakasveta [241]

Answer:

Step-by-step explanation:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles.

figure51

Vertical angles are always congruent, which means that they are equal.

Adjacent angles are angles that come out of the same vertex. Adjacent angles share a common ray and do not overlap.

figure52

The size of the angle xzy in the picture above is the sum of the angles A and B.

Two angles are said to be complementary when the sum of the two angles is 90°.

figure53

Two angles are said to be supplementary when the sum of the two angles is 180°.

figure54

If we have two parallel lines and have a third line that crosses them as in the ficture below - the crossing line is called a transversal

When a transversal intersects with two parallel lines eight angles are produced.

figure55

The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles.

Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

Example

figure56

The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65°?

6 and 8 are vertical angles and are thus congruent which means angle 8 is also 65°.

6 and 2 are corresponding angles and are thus congruent which means angle 2 is 65°.

6 and 4 are alternate exterior angles and thus congruent which means angle 4 is 65°.

4 0
3 years ago
A carpenter has a wooden that measures 1/4 meter long. He must cut the board into 6 pieces of equal length. How long in meters s
DanielleElmas [232]

Answer:

1/26 meter

Step-by-step explanation:

You would start by dividing 1/4 by 6. You'd have to multiply 1/4 by the reciprocal of 6 (the reciprocal of 6 would be 1/6). Then you get (1/4) * (1/6), which is equal to 1/24.

8 0
3 years ago
Five times the sum of 173 and 32
Sladkaya [172]
173+32=205 , so 205 times 5 would equal 1,025 . so the answer would be 1,025 .
4 0
3 years ago
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