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STatiana [176]
3 years ago
10

the denominator of a fraction is 3 less than the numerator. If 5 is added to the numerator and denominator, the result is 5/6. F

ind the sum of the numerator and denominator of the original fraction.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:

y=x-3
(x+5) / (y+5)=5/6

we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20

y=x-3=-20-3=-23

Teh sum of the numerator an denominator=-20+(-23)=-43

Answer:    -43



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The equation below describes a proportional relationship between x and y. What is the constant of? proportionality? y equals thr
lilavasa [31]

Answer:

The given equation is

          y =\frac{3}{7} x

→ \frac{y}{x} = \frac{3}{7}

reciprocating both sides, we get

→ \frac{x}{y}  =  \frac{7}{3} ............(1)  

→ Here x and y are Directly proportional to each other.

which means ,

→ x =  k y , where k is constant of proportionality.

Or , \frac{x}{y} = k  ............................(2)

Equating (1) and (2),

k = \frac {7}{3}  




5 0
3 years ago
I need help Please!!!! Please give answer ASAP!!! thxs :)
zvonat [6]

The Length of the Given Sign = 90 inches

The Side of the Triangle can be found by Pythagorean Theorem

⇒ (Side of the Triangle)² = 40² + 30²

⇒ (Side of the Triangle)² = 1600 + 900

⇒ (Side of the Triangle)² = 2500

⇒ (Side of the Triangle) = 50

⇒ Perimeter of the Given Sign = (4 × Side of Triangle) + (2 × Length)

⇒ Perimeter of the Given Sign = (4 × 50) + (2 × 90)

⇒ Perimeter of the Given Sign = (200 + 180) = 380 in

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3 years ago
A one-celled organism measures 32 millimeters in length in a photograph. If the photo has been enlarged by a factor of 100, what
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The answer is 0.32 millimeters - move the decimal point over the amount of zeroes.
Hope this helped! Rate brainliest if you want. :)
Have a nice day!

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3 years ago
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Sindrei [870]

Answer: The triangle is a obtuse triangle. Because two angles are less than 90 and 110 is a obtuse angle.

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3/41 40/97 1/6 in least to greatest?
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Step-by-step explanation:

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