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trapecia [35]
3 years ago
5

Eight friends share 4 bunches of grapes equally. What fraction of a bunch of grapes does each friend get?

Mathematics
2 answers:
vekshin13 years ago
8 0
You just divide 4 by 8, which equals 1/2
romanna [79]3 years ago
6 0
So 4/8 in simplest form 1/2/ of a bunch of grapes.
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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
3 years ago
Simplify the expression.
spayn [35]

Answer:

C. \huge\frac{1}{3x {y}^{2}  {z}^{4}}

Step-by-step explanation:

(9 {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} }  \\   \\  = ( {3}^{2}  {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} }  \\  \\  =  \frac{1}{( {3}^{2}  {x}^{2}  {y}^{4}  {z}^{8} )^{ \frac{1}{2} }}  \\  \\  =  \frac{1}{(3x {y}^{2}  {z}^{4})^{2 \times  \frac{1}{2} }  }  \\  \\  =  \frac{1}{3x {y}^{2}  {z}^{4}} \\  \\  \red{ \bold{ \therefore \: (9 {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} } =  \frac{1}{3x {y}^{2}  {z}^{4}} }}\\

7 0
3 years ago
Which list correctly orders A, B, and C from least to greatest when A=-8, B = |-61, and C = 11|?
Katena32 [7]
The correct border is b a c.
8 0
2 years ago
Pls help me! 19 and 20.
Murljashka [212]

Answer:

See below ↓

Step-by-step explanation:

19.

  • \frac{x-1}{2} - \frac{x-3}{5} - \frac{x-7}{10} + \frac{x-2}{5}
  • \frac{5(x-1)-2(x-3)-(x-7)+2(x-2)}{10}
  • \frac{5x-5-2x+6-x+7+2x-4}{10}
  • \frac{4x+4}{10}
  • \frac{2x+2}{5}

20.

  • \frac{2x+3}{2x} + \frac{x+3}{4x} - \frac{18x+6}{8x^{2} }
  • \frac{4x(2x+3)+2x(x+3)-(18x+6)}{8x^{2} }
  • \frac{8x^{2} +12x+2x^{2} +6x-18x-6}{8x^{2} }
  • \frac{10x^{2}-6}{8x^{2} }
  • \frac{5x^{2}-3}{4x^{2} }
4 0
2 years ago
The Powerball lottery is played twice each week in 28 states, the Virgin Islands, and the District of Columbia. To play Powerbal
Alecsey [184]

Answer:

There are 3478761 ways to select the first 5 numbers

Step-by-step explanation:

As understood from the statement of this problem we assume that it does not matter the order in which the first 5 white balls are selected.

In this case it is a combination.

So, what we want to know is how many ways you can choose 5 white balls out of 55.

Then we use the formula of combinations:

C(n, x) = \frac{n!}{x! (n-x)!}

Where you have n elements and choose x from them.

Then we look for:

C(55, 5) = \frac{55!}{5!(55-5)!}\\\\C(55, 5) = \frac{55!}{5!(50)!}\\\\C(55, 5) = 3478761

6 0
3 years ago
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