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ikadub [295]
2 years ago
14

Convert 11.42424242 to a rational expression in the form a/b, where b=0

Mathematics
1 answer:
lutik1710 [3]2 years ago
5 0
I think you mean b is not equal to 0.

We have that 11.424242... = 11 + 0.424242...
Now let x = 0.424242...
Then 100x = 42.424242...
Now 99x = 100x - x = 42 so 99x = 42 and therefore x = 42/99

Now we can simplify 42/99 to 14/33

Now combining this we get 11.424242... = 11 + 14/33
= 363/33 + 14/33 = 377/33

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3 years ago
Complete the equivalent equation for -7x-60 =x^2 +10x
alex41 [277]

Answer:

(x+12)(x+5)

Step-by-step explanation:

Formula use: a²+bx+c

  • Make one side equal to zero:

Original:

-7x-60 =x² +10x

New:

x² + 17x + 60

  • Multiply A with C

New:

(1)x x 60 = 60

  • Find factors of 60 that when added, equal to 17.

New:

10 × 6, 60 × 1, 20 × 3, <u>5 × 12</u>, 4 × 15

5 times 12 equal 60, but when added equal to 17.

  • Replace the 17 with 5 and 12

New:

x² + 5x + 12x + 60

  • Break them off into two equations

New:

x² + 5x  l  12x + 60

  • Divide each equation into it's simpilest form. Make sure the numbers in the ( ) are the same.

New:

x(x + 5)  l  +12(x+5)

  • Answer: (x+12)(x+5)

6 0
3 years ago
Find the area of each figure
Anon25 [30]
Area of trapezoid = a + b/2 * h
a = 20, b = 9, h = 21/-16
20+9/2 * (21-16) = 29/2 * 5 = 72.5
The area of the trapezoid = 72.5 in^2

Area of the rectangle = l * w
l = 16, w = 20
16 * 20 = 320
The area of the rectangle: 320 in^2
7 0
3 years ago
Can someone please solve for x
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Answer:

x = -11

Step-by-step explanation:

2x + 23 + 9 = x + 21

Combine common factors

2x + 32 = x + 21

Subtract x from both sides

x + 32 = 21

Subtract 32 from both sides

x = -11

5 0
2 years ago
Is the following a linear equation ?
NNADVOKAT [17]
I think the answer is B but I am not sure
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3 years ago
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