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Tamiku [17]
3 years ago
9

A store decreases the price of a sofa by 16% this month only, to $5200. What was the price before the

Mathematics
1 answer:
zheka24 [161]3 years ago
3 0

9514 1404 393

Answer:

  $6190.48

Step-by-step explanation:

The price is now 1 -16% = 84% of the original price (p).

 $5200 = 0.84p

  p = $5200/0.84 = $6190.48

The price before the discount was $6190.48.

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850

Step-by-step explanation:

400+550+850=1800. 1800/3= 600

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Evaluate the following
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(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}*

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= \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.

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200 = 16(6t - 13)<br><br> t = ? <br> Help!
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Step 1. Divide both side by 16

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Step 2. Dimplify 200/16 to 25/2

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Step 3. Add 13 to both sides

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Step 6. Simplify 51/2/6 to 51/2 * 6

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Step 8. Simplify 51/12 to 17/4

17/4 = t

Step 9. Switch sides

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