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SIZIF [17.4K]
3 years ago
8

Which is the length of x? 1 7/9 2 1/2 1 1/4 1 3/5

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

option D.  x = 1 3/5

Step-by-step explanation:

ratio and proportion

<u> 4 </u> = <u> x </u>

5     2

X multiply:

5x = 4(2)

5x = 8

x = 8 / 5

x = 1 3/5

jeka57 [31]3 years ago
4 0

Answer:

x = 1 3/5

Step-by-step explanation:

x = 1 3/5

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\bf \begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{antifreeze}&\stackrel{\textit{gallons of }}{antifreeze}\\ \cline{2-4}&\\ \textit{1st brand}&x&0.65&0.65x\\ \textit{2nd brand}&y&0.90&0.9y\\ \cline{2-4}&\\ mixture&40&0.8&32 \end{array}~\hfill \to \begin{cases} x+y&=40\\ \boxed{x}=40-y\\ \cline{1-2} 0.65x+0.9y&=32 \end{cases} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{substituting in the 2nd equation}}{0.65\left( \boxed{40-y} \right)+0.9y=32}\implies 26-0.65y+0.9y=32 \\\\\\ 26+0.25y=32\implies 0.25y=6\implies y=\cfrac{6}{0.25}\implies \blacktriangleright y=24 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=40-y\implies }x=40-24\implies \blacktriangleright x=16 \blacktriangleleft

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3 years ago
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Represent the following sentence as an algebraic expression, where "a number" is the letter x.
elixir [45]

Answer:

x + 8

Step-by-step explanation:

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If (x, y) is a solution to the system of equations, what is the value of x? 2x + 1/ 2 y = 2 1/ 2 x + 2y = 6
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Answer:

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Step-by-step explanation:

The two equations ...

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  x = (2·2 -1/2·6)/(2·2 -1/2·1/2) = (4-3)/(4-1/4) = 1/(15/4)

  x = 4/15

_____

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  • dx +ey = f

is ...

  • ∆ = ae-db
  • x = (ce -fb)/∆
  • y = (fa-dc)/∆
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