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SSSSS [86.1K]
3 years ago
12

Use a proportion to solve. If 300 vitamins cost $5.75, what should 500 vitamins cost?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
4 0

Answer:

300 vitamins = $5.75

500 vitamins = $x

Cross multiplying

300 vitamins x $x = $5.75 x 500 vitamins

300x = 2875

Dividing both sides by 300 to make x stand alone

x = 2875/300

x = $9.583

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Find the length of the third side. If necessary, round to the nearest tenth
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\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

\longrightarrow{\blue{}} {x}^{2} + 64 = 289

\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}

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