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Novosadov [1.4K]
3 years ago
11

A positive integer is 47 more than 9 times another. Their product is 1860. Find the two integers.

Mathematics
1 answer:
svlad2 [7]3 years ago
8 0
X = 47 + 9y
xy = 1860

y(47 + 9y) = 1860
47y + 9y² = 1860
9y² + 47y - 1860 = 0

> using a quadratic equation solver on a calculator but you can also use the quadratic equation = [-b+/- √(b²-4ac)]/(2a)
> only integer solution is x = 12

12y = 1860
y = 155

integers are 12 and 155


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yan [13]

115 = l \times 2.5 \times 5.75

\huge \mathrm{Answer࿐}

given :

\longmapsto volume = 115 yd³

Dimensions are :

  • 2\frac{1}{2} yd

  • 5\frac{3}{4} yd

  • L

We know,

\large \boxed{ \mathrm{volume = l \times b \times h}}

  • 115 =  2\frac{1}{2}  \times  5\frac{3}{4}  \times l

  • l \times  \dfrac{5}{2}  \times  \dfrac{23}{4}  = 115

  • l  \times  \dfrac{115}{8} = 115

  • l = 115 \times  \dfrac{8}{115}

  • l = 8 \: yd

Therefore Length of the prism is 8 yards.

_____________________________

\mathrm{ \#TeeNForeveR}

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