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Alex73 [517]
3 years ago
15

Hue is arranging chairs. She can form 2 rows of a given length with 2 chairs left over, or 6 rows of that same length if she get

s 14 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Mathematics
1 answer:
Nady [450]3 years ago
8 0
There are 7 chairs in each row length.
Step-by-step explanation:
Let number of chairs in 1 row be 'x'.
Let total number of chairs be 'y'.
Given:
Hue can form 6 rows of a given length with 3 chairs left over.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.
Framing in equation form we get.

Also Given:
Hue can form 8 rows of that same length if she gets 11 more chairs.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.
Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.
So according to law of transitivity we get;

Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.

Hence there are 7 chairs in each row length.
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substituting x into either expression, yields

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David makes 17 dollars in an hour and works 25 hours a week.linda makes 25 dollars a hour abd works 7 hours each week. How much
Soloha48 [4]

Step-by-step explanation:

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and

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so it would make the equation 17(25)+25(7)

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Solving systems of equations<br><br> X-2y=0<br> Y=2x-3
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Klio2033 [76]

Answer:

a) a_n=2(a_{n-1}), where a_1=5.

b)  a_n=5(2)^{n-1}

Step-by-step explanation:

The given sequence is


5,10,20,40....


The first term of the sequence is

a_1=5


The second term is a_2=10


The common ratio for this sequence can be determined using any two consecutive terms in the sequence.

Using the first two terms, the common ratio is

r=\frac{a_2}{a_1}


\Rightarrow r=\frac{10}{5}=2


a) The recursive rule is given by,


a_n=r(a_{n-1})


a_n=2(a_{n-1}), where a_1=5.


b) The explicit rule is given by a_n=a_1r^{n-1}


\Rightarrow a_n=5(2)^{n-1}





3 0
3 years ago
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