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KATRIN_1 [288]
3 years ago
13

The number 0.4 can be written as 4/10 so it is a rational number.

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

yes because 4/10 is .4 so it is the rational number


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HELP ME QUICK PLEASEEEE solve for x: 2/x-2+7/x^2-4=5/x
Anna35 [415]

 

\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0


\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}




3 0
3 years ago
If x and y satisfy both 9x+2y=8 and 7x+2y=4, then y=?
Alex

Answer:

The value of y is -5

Step-by-step explanation:

we have

9x+2y=8 ------> equation A

7x+2y=4 ------> equation B

we know that

If x and y satisfy both equations, then (x,y) is the solution of the system of equations

Using a graphing tool

Remember that

The solution of the systems of equations is the intersection point both graphs

The intersection point is (2,-5)

therefore

The solution of the system of equations is the point (2,-5)

The value of y is -5

7 0
2 years ago
Class A has 25 pupils and class B has 28 pupils. Both classes sit the same maths test. The mean score for class A is 69. The mea
il63 [147K]

Answer:

13

Step-by-step explanation:

Mean would mean average, which in this case is \frac{x+y}{2}

so your equation would look like \frac{69+x}{2}=41

Next multiply both sides by to clear the fraction 2*(\frac{69+x}{2})

to get 69+x=89

Subtract 69 from both sides 69+x=82\\-69   -69

you get x = 13

6 0
2 years ago
Bianca uses 1/3 of clay to make 4 bowls. She uses the same amount of clay for each bowl. How much clay does Bianca use for each
kkurt [141]

Answer:

1/12clay each bowl

Step-by-step explanation:

Since we know she used 1/3, simply divide 1/3 by 4 to get your answer.

1/3 / 4/1

1/3 * 1/4

1/12

8 0
2 years ago
What is the radius of a circumference 56.5
Bas_tet [7]
8.992254284692088 is the radius I believe
7 0
3 years ago
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