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statuscvo [17]
3 years ago
7

Marcs is growing three bean plants as part of a science experiment. Plant A 1/3 inch tall. Plant B is 3/4 inch tall. Plant C is

5/6 inch tall. Order the plants from shortest to tallest.
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0
Shortest to tallest: Plant A, Plant B, Plant C.

Given:
Plant A 1/3 inch tall
Plant B 3/4 inch tall
Plant C 5/6 inch tall

Order from shortest to tallest.

First we need to get the least common multiple of the three fractions.

Multiple of 3: 3, 6, 9, 12
Multiple of 4: 4, 8, 12, 16
Multiple of 6: 6, 12, 18

Their least common multiple is 12. We need to multiply each fraction by the number that will give the product of 12 to the denominator.

Plant A: 1/3 * 4/4 =   4/12
Plant B: 3/4 * 3/3 =   9/12
Plant C: 5/6 * 2/2 = 10/12

Since the denominator is common, we will use the numerator as basis in ordering the plants from shortest to tallest. 

4 is less than 9 and 9 is less than 10.

so, Plant A is the shortest, Plant B is the medium height, and Plant C is the tallest.
NemiM [27]3 years ago
4 0
1/3 , 3/4, 5/6

1÷3= <span>0.333333

3</span>÷4= 0.75

5÷6= 0.8333333333333333

Hope I This Helps :D
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In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

X\approx 17

Therefore, the value of ∠X is 17 degrees.

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2 years ago
On Earth, objects weigh 6 times what
Colt1911 [192]

Answer:

16 pounds.

Step-by-step explanation:

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16*6=96. (Original Weight)

96/6=16. (Weight after being on the moon.)

4 0
3 years ago
F(x) = 4x^2 - 10.3 + 2 2<br> Find f(-7
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Step-by-step explanation:

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2 years ago
Is the following relation a function? (4,2), (1,1), (0,0), (1, -1), (4, -2). Give the domain and range.
arsen [322]
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4 0
3 years ago
Solve the system of equations 2x+4y+3z=6 5x+8y+6z=4
MaRussiya [10]

Answer:Solution :

{x,y,z} = {-8,52/7,-18/7}  

 

System of Linear Equations entered :

  [1]    2x + 4y + 3z = 6

  [2]    5x + 8y + 6z = 4

  [3]    4x + 5y + 2z = 0

Solve by Substitution :

// Solve equation [3] for the variable  z  

 

 [3]    2z = -4x - 5y  

 [3]    z = -2x - 5y/2  

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

  [1]    2x + 4y + 3•(-2x-5y/2) = 6

  [1]    -4x - 7y/2 = 6

  [1]    -8x - 7y = 12

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

  [2]    5x + 8y + 6•(-2x-5y/2) = 4

  [2]    -7x - 7y = 4

// Solve equation [2] for the variable  y  

 

 [2]    7y = -7x - 4

 [2]    y = -x - 4/7

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

  [1]    -8x - 7•(-x -4/7) = 12

  [1]    -x = 8

// Solve equation [1] for the variable  x  

  [1]    x = - 8  

// By now we know this much :

   x = -8

   y = -x-4/7

   z = -2x-5y/2

// Use the  x  value to solve for  y  

   y = -(-8)-4/7 = 52/7  

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

 z = -2(-8)-(5/2)(52/7) = -18/7  

Solution :

{x,y,z} = {-8,52/7,-18/7}  

Step-by-step explanation:

4 0
3 years ago
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