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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 mean of 5 scores is 75, four of the numbers are 60, 70, 80, &amp; 85. What is the 5th score?
Ainat [17]

Answer:

80

Step-by-step explanation:

Your 4 given numbers equal 295. 5x75 is 375. So take 375-295 and you get 80, your 5th number.

8 0
3 years ago
Sharon wants to buy a shirt that costs $50. the sales tax is 5%. how much is the sales tax? what is her total cost for the shirt
maria [59]
5% of $50 = 5/100 x 50 = $2.50
Total = 50 + 2.50 = $52.50

The saes tax is $2.50; her total cost of the shirt is $52.50
6 0
3 years ago
Read 2 more answers
Can someone pls help need it ASAP and can you pls explain in full detail how to do it
GenaCL600 [577]

Answer:

x= 1 , y=4

Step-by-step explanation:

x-y= -3 => Equation 1

x+5y= 21 => Equation 2

<u>Substitut</u><u>ion</u><u> </u><u>Method</u><u>:</u>

<u>Substitu</u><u>te</u><u> </u><u>Equation</u><u> </u><u>1</u>=>

x=y-3 <= Equation 3

Put x=y-3 in Equation 2:

x+5y=21

( y-3)+5y=21

y-3+5y=21

6y-3=21

6y=21+3

6y=24

y=24÷6

y=4

Put y=4 in Equation 1:

x-y= -3

x-4=-3

x=4-3

x=1

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Given the figure what is the value of x show your work
grandymaker [24]

51 + 3x+5 = 107

Simplify the left side:

3x + 56 = 107

Subtract 56 from both sides:

3x = 51

Divide both sides by 3:

x = 51 / 3

x = 17

Angle F and the outside angle of 107, need to equal 180 degrees.

F - 180 - 107 = 73 degrees.

5 0
3 years ago
Theresa is 14 years younger than her brother Jonathan. Together, their total age in years is 35. A) How many years old is Theres
ikadub [295]

A) The age of Theresa is 10 years 6 months old

B) Jonathan age is 24 years and 6 months old

<u>Solution:</u>

Given, Theresa is 14 years younger than her brother Jonathan.  

Let the age of Theresa be "n" years

Then the age of Jonathan will be "n + 14" years

Together, their total age in years is 35

<em><u>A) Finding age of Theresa:</u></em>

Jonathan age + Theresa age = 35  

n + 14 + n = 35  

2n + 14 = 35  

2n = 35 - 14  

2n = 21  

n = 10.5

So, age of Theresa is 10 years 6 months  

<em><u>B) Finding age of Jonathan</u></em>

Now, we know that n = 10.5  

Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years

So, Jonathan is 24 years and 6 months old

4 0
3 years ago
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