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lilavasa [31]
3 years ago
15

There are 96 new houses being built in a neighborhood. Last month,1 over 4 of them were sold. This month, 1 over 3 of the remain

ing houses were sold. How many houses are left to be sold?
Mathematics
1 answer:
Elis [28]3 years ago
8 0
1/4 of 96 were sold... replace "of" with ×

1/4 × 96 = 96/4 = 24

So the first month 24 houses were sold so that leaves...

96 - 24 = 72 houses.

1/3 of 72 were sold the next month

1/3 × 72 = 72/3 = 24

24 houses were sold the second month so there are...

72 - 24 = 48 houses left
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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

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alexgriva [62]
The answer would be the first one
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3 years ago
What is the definition of the cosine ratio of an acute angle of a triangle?
Liula [17]

Answer:

I think the answer is the last one

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The square root of 83 can be platted on the number line below
wel
The answer is some number between 9 and 10.
Explanation:
√83
is an irrational number. You won't be able to simplify it any further either, since it doesn't have any perfect square factors.
However, you will be able to tell between which two numbers it lies in.
9^2 is 81 and 10^2 is 100
. Therefore, you can say that a certain number between 9 and 10 is 83 when squared.
If you're looking for an exact answer, then it will be 9.11043357914... (I got that using a calculator).
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Name the digits of pi. At least 50
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