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wel
3 years ago
14

Given that

rac{4x-y}{3y} = \frac{1}{2}" alt="\frac{4x-y}{3y} = \frac{1}{2}" align="absmiddle" class="latex-formula"> , find the value of \frac{x}{y}
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

\frac{x}{y} = \frac{5}{8}

Step-by-step explanation:

Given

\frac{4x-y}{3y} = \frac{1}{2} ( cross- multiply )

2(4x - y) = 3y ← distribute left side

8x - 2y = 3y ( add 2y to both sides )

8x = 5y ( divide both sides by 8 )

x = \frac{5}{8} y ( divide both sides by y )

\frac{x}{y} = \frac{5}{8}

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50. Error Analysis for each of the past four years, Paulo has grown 2 in. every year, He is now 16 years old and is 5 ft 10 in.
mojhsa [17]

Answer:

I'd say that it's a good start, but he is assuming that his rate of growth will remain the same.

Since there are relatively few people 6'10" tall, it's likely that his extrapolation is too high.

Maybe if he could study the growth rates and heights at various ages of people who did achieve 6'10" height, he would have a sounder basis for his theory.

5 0
3 years ago
WILL GIVE 100 POINTS
padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the the first term
  • d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ a_{n}=18+(n-1)3

- Simplify the right hand side

∴ a_{n}=18+3n-3

- Add like terms

∴ a_{n}=15+3n

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

∵ There are 120 seat in a row

- Substitute a_{n} by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0
3 years ago
Find the area of the triangle defined by the given system?
just olya [345]
Look at my pfp it tells you the answer
6 0
2 years ago
2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.812.732.513.093.28 3.512.861.203.133.2
Dmitry_Shevchenko [17]

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

6 0
3 years ago
Sonia gets $ 6.50 pocket money on Saturday. On Monday she spends $ 2.71. On Tuesday she is given $ 3.20 for a special chore at h
dedylja [7]

Answer:

5.45

Step-by-step explanation:

5 0
3 years ago
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