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denis-greek [22]
3 years ago
12

Which simplified fraction is equal to 0.53?

Mathematics
1 answer:
Inga [223]3 years ago
6 0

Answer:

53/100?

Step-by-step explanation:

I mean you can't really simplify it any more. There's no LCD, GCD. Can't divide it evenly.

To solve it I just looked at the number of places, (3 which mean 100.)

Then I looked at the numbers, (53.)

So you just turn that into a fraction...

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What is the value of 6x2 when x = 1.5?<br><br> Round to the tenths place<br><br> pls help
Ivahew [28]

Answer:

13.5

Step-by-step explanation:

6 x^2

Let x= 1.5

6 ( 1.5) ^2

6 *2.25

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5 0
2 years ago
Item 11
marysya [2.9K]

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

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Answer:

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Step-by-step explanation:

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The correct answer above would be C.

8 0
3 years ago
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snow_tiger [21]

Answer:

x = 1.5

Step-by-step explanation:

First, calculate 6-9, which is -3.

Then we add 9 on both sides so that on the left, we only have 4x, and on the right, we have 6.

Then divide by 4 on both sides to get x = 1.5

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