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qwelly [4]
3 years ago
5

Please help me out! the question is

Mathematics
1 answer:
kupik [55]3 years ago
5 0
They had the same quotient because both of those equations are equal
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Luke has $21 more than rachel and $48 more than daniel. altogether they have $168. how much does luke have?
Anettt [7]

this can be solve by 3 variable equation

let x be the money of luke

y money of rachel

z money of daniel

first equation

x = y + 21

second equation

x = z + 48

third equation

x + y + z = 168

solving simultaneously

x =79

y = 58

z = 31

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7 0
3 years ago
Which expression is a way to represent the ratio of a to b?<br>obia<br>ob to a​
mash [69]

Answer:23

Step-by-step explanation:

4 0
3 years ago
Can someone solve the equation |x+8| = x+8<br> Thank you!
lisov135 [29]
Infinite i think. because the two equations are the same. 
5 0
3 years ago
Read 2 more answers
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses wer
Stella [2.4K]

Answer:

The number of houses built in Town B is 56.

Step-by-step explanation:

We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.

Also, 70 houses were built in Town A during 210.

Let the number of houses built in Town B be 'x'.

So, according to the question;

Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B

70 = x + (25\% \times x)

70 = x(1+0.25)

x=\frac{70}{1.25}

x = 56

Hence, the number of houses built in Town B is 56.

8 0
3 years ago
Simplify (4x^2+2)÷(2x^2-9x-5)​
frosja888 [35]

Answer:

4.1     Pull out like factors :

   4x2 + 2  =   2 • (2x2 + 1) 

Polynomial Roots Calculator :

 4.2    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

 The factor(s) are:

of the Leading Coefficient :  1,2

 of the Trailing Constant :  1

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      3.00        -1     2      -0.50      1.50        1     1      1.00      3.00        1     2      0.50      1.50   

Polynomial Roots Calculator found no rational roots

Trying to factor by splitting the middle term

 4.3     Factoring  2x2 - 9x - 5 

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10 

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10   +   1   =   -9   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1 

                     2x2 - 10x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                    2x • (x-5)

              Add up the last 2 terms, pulling out common factors :

                     1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                    (2x+1)  •  (x-5)

             Which is the desired factorization

Final result :

2 • (2x2 + 1) —————————————————— (x - 5) • (2x + 1)

5 0
2 years ago
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