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balu736 [363]
3 years ago
8

Two children want to share 1 cake so they each get the same amount. How much cake will each child get? Four children want to sha

re 1 cake. How much cake will each child get? Eight children want to share 1 cake. How much will each child get?
Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

1/2

1/4

1/8

Step-by-step explanation:

We can use fractions to convey an amount that is less than 1 (the whole).

In a fraction, the denominator (on bottom) represents the total amount of parts there are of something. The numerator (on top) represents how many parts of the whole we are looking at in a specific instance.

For the two children, sharing a cake, the cake is split into two parts, so the denominator is 2. The numerator is 1 because each child gets 1 piece.

\frac{1}{2}

For the four children, there are four available parts and each child gets 1 part.

\frac{1}{4}

For the eight children, there are eight available parts and each child gets 1 part.

\frac{1}{8}

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Step-by-step explanation:

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which ordered pair is a solution to the system of linear equations 1/2 x - 3/4 y = 11/60 and 2/5 x + 1/6 y = 3/10?
bekas [8.4K]

Value of x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}

Solution set is  (\frac{2}{3},\frac{1}{5})

Step-by-step explanation:

We need to solve the following system of equations:

\frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}\,\,\,eq(1)\\\frac{2}{5}x+\frac{1}{6}y=\frac{3}{10}\,\,\,eq(2)

We can solve this using Substitution.

Isolate x in \frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}

\frac{1}{2}x=\frac{11}{60}+\frac{3}{4}y\\ x=\frac{11}{30}+\frac{3}{2}y

Putting value of x in equation(2)

\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)+\frac{1}{6}y=\frac{3}{10}\\Solving:\\Taking\,\,LCM\,\,of\,\,5,6,10 \,\,we\,\,get: 30\\Multiply\,\,by\,\,LCM\\\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)\times30+\frac{1}{6}y\times30=\frac{3}{10}\times30\\Simplifying:\\12(\frac{11}{30}+\frac{3}{2}y)+5y=9\\\frac{22}{5}+18y+5y=9\\23y=9-\frac{22}{5}\\23y=\frac{45-22}{5}\\23y=\frac{23}{5}\\y=\frac{\frac{23}{5} }{23}\\y=\frac{1}{5}

Putting value of y=1/5 in x=\frac{11}{30}+\frac{3}{2}y

x=\frac{11}{30}+\frac{3}{2}\times\frac{1}{5} \\x=\frac{11}{30}+\frac{3}{10}\\x=\frac{11+3*3}{30}\\x=\frac{11+9}{30} \\x=\frac{20}{30}\\x=\frac{2}{3}

So, value of x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}

Solution set is  (\frac{2}{3},\frac{1}{5})

Keywords: System of linear Equations

Learn more about System of linear Equations at:

  • brainly.com/question/9045597
  • brainly.com/question/13168205
  • brainly.com/question/2115716

#learnwithBrainly

5 0
4 years ago
Hey guys AGAIN! <br> PLS HELP ME WITH THIS <br> IK ITS PROBBLY EASY BUT YEAH
RoseWind [281]

Answer:

a. 10 buns or 10/12

b. 8 buns or 8/12

Step-by-step explanation:

You need to make the denominator into 12 since thats how much is in a dozen

5/6 of a dozen is also 10/12 (multiplied numerator and denominator by 2)

2/3 of a dozen is also 8/12 (multiplied numerator and denominator by 4)

7 0
3 years ago
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