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Ksenya-84 [330]
3 years ago
6

Colin ties 5 groups of balloons to the fence. There are 3 orange balloons

Mathematics
2 answers:
maxonik [38]3 years ago
4 0

Answer:

ok? what is the question?

tia_tia [17]3 years ago
4 0

Answer:

<h2>45 balloons.</h2>

Step-by-step explanation:

The complete question is:

<em>Colin ties 5 groups of balloons to the fence. There are 3 orange balloons, 2 blue balloons, and 4 green balloons in each group. How many balloons does Colin use?</em>

We know that in each group we have:

  • 3 orange.
  • 2 blue.
  • 4 green.

So, we have 9 balloons per group and 5 groups. We have to multiply 9 by 5 groups, we have 45 balloons in total.

Therefore, there are 45 balloons in total.

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Step-by-step explanation:

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\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

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14       49

---- = ------

2          x

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From the graph attached,

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S"(3, -4) → S'(-3, 4)

T"(1, -1) → T'(-1, 1)

7 0
3 years ago
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