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3 years ago

Jayne uses long division to convert a rational number ab to a decimal. Which of the following statements cannot be true?

Mathematics

1 answer:

solmaris [256]3 years ago

8 0

The decimal form of ab eventually repeats.

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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

The net of a prism is shown below.

Sliva [168]

Answer:

nothing is there

Step-by-step explanation:

7 0

3 years ago

Which mathematical expression means seven more than the product of three and x

vladimir2022 [97]

Answer:

More than means addition and product means multiplication. Therefore, seven more than the product of three and x would mean multiplying 3 and x together then adding 7 to that. Or, 3x + 7.

Step-by-step explanation:

7 0

3 years ago

2(y+1) for y =2 (will pick brainliest if right)<br> A:6 <br> B:5 <br> C:7<br> D:8

Katen [24]

Answer:

A. 6

Step-by-step explanation:

pretty sure its right

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3 years ago

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Taxes on 100 dlls??

dezoksy [38]

The sales tax is 6.25% from $100

8 0

3 years ago