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3 years ago

Circle The Fraction That Is Not In Simplest Form. Explain

Mathematics

2 answers:

olga55 [171]3 years ago

8 0

9/21 = 3/7

divide by 3

tatiyna3 years ago

3 0

The first one

9/21 can be divided and simplified to 3/7 because both 9 and 21 are divisible by 3. The other choices do not have any common factors to be divided by.

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Between 11 P.M. and 8:54 A.M., the water level in a swimming pool decreased by 11/20. Assuming that the water level decreased a

lisabon 2012 [21]

1 each hour 20-11=9 there is 9 hours between 11pm and 8:54am so 1 per each hour hope that it helped ;)

6 0

2 years ago

Can every even number be written as a sum of two primes?

astraxan [27]

The Goldbach Conjecture is a yet unproven conjecture stating that every even integer greater than two is thesum of two prime numbers. The conjecture has been tested up to 400,000,000,000,000. Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics.

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2 years ago

a radio signal travels at 3.00 * 10^8 per second. how many seconds will it take for a radio signal to travel from a satellite to

Ainat [17]

Time = distance/speed, so

3.54x10^7 / 3x10^8 = 1.18x10^-1

or, 0.118 seconds

5 0

3 years ago

Evaluate the following

IRINA_888 [86]

(a) $[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

Answer:

$[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5*2.5 }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5}{1} ]^{2}$

*canceling 2.5 in numerator and denominator*

$= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925$

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) $[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3} ] ^{2}$

Answer:

$[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\$

*using $[x^{a}]^b = x^{ab}$ *

$= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}$

*Again, using $[x^{a}]^b = x^{ab}$ *

$= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} } \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1$

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0

3 years ago

What is x in 1/150/1/200x2=x

choli [55]

Answer:

6.66666667E-5

hope this helped a bit!

5 0

2 years ago