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sergij07 [2.7K]
2 years ago
13

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator

Mathematics
1 answer:
WARRIOR [948]2 years ago
3 0

Answer: 5n = 3d and 3n + 6 = 2d + 4

Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.  

We are to select the system of equations that could be used to solve the problem.  

Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:

n/d = 3/5

5n = 3d

<h3>and</h3>

(n+2)/(d+2) = 2/3

3(n+2) = 2(d+2)

3n + 6 = 2d + 4

Thus, the required system of equations is,

5n = 3d and 3n + 6 = 2d + 4

Brainliest pweaseee if the answer is clear and correct! <3 ~~~

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The answer is C, 488 cm2

Step-by-step explanation:

5 0
3 years ago
Find the quotient simplify your answers a+3 over a divided by 8 over a
mihalych1998 [28]
ANSWER

\frac{a + 3}{8}



EXPLANATION

We want to simplify

\frac{a + 3}{a}  \div  \frac{8}{a}


We multiply the first fraction by the reciprocal of the second fraction to obtain,



\frac{a + 3}{a}   \times  \frac{a}{8}


We cancel the common factors to get,


\frac{a + 3}{1}   \times  \frac{1}{8}

This gives us,

\frac{a + 3}{8}
4 0
2 years ago
Allen opens a retirement savings account with an initial deposit of $5,000. He makes annual contributions to the account, and at
Lera25 [3.4K]

Answer:

He gained 3,650 dollars over 5 years of saving his retirement money

Step-by-step explanation:

Just subtract 5,00 from 8,000 and u get 3,000 so then just add 650 to the 3,000 and thats your answer 3,650!!

3 0
3 years ago
What is the solution set of {x | x &lt; -5} ∩ {x | x &gt; 5}?
777dan777 [17]
This symbol "∩" means intersection of both sets or what do both sets contain that are the same..

First set contains all numbers less than -5 and the other set contains all numbers greater than 5 so the sets don't overlap at all.

The solution set is empty ∅
7 0
3 years ago
A kite is flying 12 ft off the ground. Its line is pulled taut and casts an 8 -ft shadow. Find the length of the line. If necess
LenKa [72]
Answer

14.4 ft~

Step-by-step explanation

A kite is flying 12 feet off the ground, therefore the height is 12 (assuming the line is tied to the ground if a person is holding the line then the height would be less)

Assuming the sun is positioned in such a way that the shadow represents a horizontal distance. Horizontal distance of shadow = 8

Use Pythagoras Theorem

Where a^2 + b^2 = c^2

8^2 + 12^2 = 208

Square root 208 = 14.4~

~ Hoodini, here to help :)
6 0
2 years ago
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