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romanna [79]
3 years ago
12

Two fractions have the same denominator,8. The sum of the two fractions is ½. If one of the fractions is added to 5 times the ot

her, the result is 2. Find the two fractions​
Mathematics
1 answer:
Alborosie3 years ago
8 0

Answer:

3/8 and 1/8

Step-by-step explanation:

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Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuánt
Nataly [62]

Answer:

The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

  • The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;

                                      \frac{x}{y} =\frac{2}{1}  

                                      x=2y  -------------- [equation 1]

  • The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;

                                       \frac{x+4}{y+4}=\frac{8}{6}

                               6({x+4})=8}(y+4)

                               6x+24=8y+32

                               6(2y)+24=8y+32

                               12y-8y=32-24

                                    4y=8

                                     y=\frac{8}{4} = 2 years

Putting the value of y in equation 1 we get;

                                     x = 2y

                                      x = 2 \times 2 = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

3 0
3 years ago
What is 12 1/3-10 11/12
Brut [27]

Answer:

1 5/12

Step-by-step explanation:

12 1/3 - 10 11/12

We need to get a common denominator of 12

12 1/3 * 4/4 - 10 11/12

12 4/12 - 10 11/12

We need to borrow from the 12 (the whole number)  because the 2nd fraction is bigger than the first

12 becomes 11 and the 1 becomes 12/12

11+ (12/12 + 4/12) - 10 11/12

11 16/12 - 10 11/12

Subtract the whole numbers

11-10 =1

Subtract the fractions

16/12 - 11 /12  = 5 /12


We are left with 1 5/12

5 0
3 years ago
2 × (2,230 + 829) Which of the following is true about the expression above? A. The given expression is 2 more than (2,230 + 829
goblinko [34]

Answer:

B - the expression given is 2 timex as large at (2,230 + 829)

Step-by-step explanation:

Multiply 2 by each set of numbers then add.

2X 2230 = 4460

2x829 = 1658

Add them together

4460+1658 = 6118

3 0
3 years ago
(URGENT) need this for today!​
Zigmanuir [339]

Answer:

right triangel

Step-by-step explanation:

the sides just add up to that i thinl

6 0
3 years ago
A cylinder with a height of 4 m has a volume of approximately
tigry1 [53]

Answer:

18m

Step-by-step explanation:

113.04m/3.14 = 36m/4m = 9m*2 = 18m

7 0
3 years ago
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