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3 years ago

Round 0.564 to the nearest tenth and the nearest hundredth.

Mathematics

1 answer:

aalyn [17]3 years ago

4 0

Answer:

0.564 to the nearest 10th is 0.6 and to the nearest 100th is 0.56

Step-by-step explanation:

ty :P

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X/x-2 + x-1/x+1= -1<br> Can someone walk me through the steps of this problem? Much appreciated. :)

stealth61 [152]

Answer:

x = 0 or x = 1

Step-by-step explanation:

Given equation:

$\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1$

Multiply the two denominators to get the same denominator:

Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.

Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.

$\implies \dfrac{x(x+1)}{(x-2)(x+1)}+\dfrac{(x-2)(x-1)}{(x-2)(x+1)}=-1$

Add the numerators and keep the denominator so that there is now one fraction:

$\implies \dfrac{x(x+1)+(x-2)(x-1)}{(x-2)(x+1)}=-1$

Simplify the numerator by expanding the brackets:

$\implies \dfrac{x^2+x+x^2-3x+2}{(x-2)(x+1)}=-1$

$\implies \dfrac{2x^2-2x+2}{(x-2)(x+1)}=-1$

Simplify the denominator by expanding the brackets:

$\implies \dfrac{2x^2-2x+2}{x^2-x-2}=-1$

Multiply both sides by the denominator of the left side:

$\implies 2x^2-2x+2=-1(x^2-x-2)$

Simplify and move everything to the left side:

$\implies 2x^2-2x+2=-x^2+x+2$

$\implies 3x^2-3x=0$

Factor:

$\implies 3x(x-1)=0$

Therefore:

$\implies 3x=0 \implies x=0$

$\implies x-1=0 \implies x=1$

Therefore, x = 0 or x = 1

8 0

2 years ago

Read 2 more answers

The diagram below shows the radius of the circular opening of a drinking cup.

ss7ja [257]

Answer:

25 cm

Step-by-step explanation:

$C=2\pi r$ where r is the radius of the circle

Plug in the given radius (4 cm)

$C=2\pi (4)\\C=8\pi\\C=25$

Therefore, the circumference of the opening is approximately 25 cm.

I hope this helps!

3 0

3 years ago

12overx+7=13over X what's the answer

photoshop1234 [79]

12/x + 7 =13/x, where x is not 0;
<=> 12 + 7x = 13 <=> 7x = 1 <=> x = 1/7;

6 0

3 years ago

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find the sum of the geometric series -3,15,-75,375 when there are 9 terms and select the correct answer below

Oduvanchick [21]

The sum to nterms:

Sn=a(r^n - 1) / (r-1)

r=15/-3=-5
a=-3

Sn=-3(-5⁹ - 1) / (-5-1)=-976563

Answer; -976563

4 0

4 years ago

Which is the correct comparison?

Anastaziya [24]

Answer:

260 minutes > 4.25 hours

Step-by-step explanation:

1h=60 min.

0.25 h=¼h=¼*60min=15min.

4.25h=4h+0.25h=60*4+15min=240+15=255min

260>255

4 0

3 years ago

Read 2 more answers