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Angelina_Jolie [31]
3 years ago
13

4 people share a gallon of tea they each get 1/8 of the gallon how much do each of them get?

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer:

2/8

Step-by-step explanation:

2/8 x 4 is 8. That means each person gets 2/8 of the gallon.

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let's use engineering notation for the sake of brevity.

1 trillion is 1,000,000,000,000, or just 1E12, twelve zeros.

1 million is then 1E6, six zeros.

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\bf \begin{array}{ccll} gallons&months\\ \cline{1-2} 3E12&5\\ x&1 \end{array}\implies \cfrac{3E12}{x}=\cfrac{5}{1}\implies 3E12=5x \\\\\\ \cfrac{3E12}{5}=x\implies 6E11=x\implies 600000000000=x

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\bf \begin{array}{ccll} gallons&households\\ \cline{1-2} 6E11&2E8\\ x&1 \end{array}\implies \cfrac{6E11}{x}=\cfrac{2E8}{1}\implies 6E11=2E8x \\\\\\ \cfrac{6E11}{2E8}=x\implies \cfrac{600000000000}{200000000}=x\implies 3000=x

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Answer:

<h3>A'(-2,0) , B'(0.5,6) and C'(3,0)</h3>

Step-by-step explanation:

The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1).

The given translation of vertices,

<h3> (x, y) → (x + 3, y − 1)</h3>

This translation shows shift x-coordinate 3 unit right and y-coordinate 1 unit down.

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A(-5,1)\rightarrow A'(-5+3,1-1)

New vertices A'(-2,0)

  • Now vertices B(-2.5,7)

B(-2.5,7)\rightarrow B'(-2.5+3,7-1)

New vertices B'(0.5,6)

  • Now vertices C(0,1)

C(0,1)\rightarrow C'(0+3,1-1)

New vertices C'(3,0)

Hence, the new coordinate of the vertices are A'(-2,0) , B'(0.5,6) and C'(3,0)

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Step-by-step explanation:

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