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3 years ago

-3.1x+7 -7.4x =1.5 x-6 (x-3/2)

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Answer:

x = -113/61, or x = -1.852

Step-by-step explanation:

To solve this equation, remove the decimal fractions by multiplying all terms by 10; the result is:

-31x + 70 - 74x = 15x - 6x + 9.

Then -104x + 70 = 9x + 9, or

-113x = -61.

Finally, x = -113/61, or x = -1.852

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three bags of sweets weigh 27/4 kg. two of them have the same weight and the third bag is heavier than each of the bags of equal

Nana76 [90]

I'm here buddy,

so, let's take the value of the two bags with equal weight as x.

= x + x + (x + $\frac{6}{5}$ ) = $\frac{27}{4}$

= 3x + $\frac{6}{5}$ = $\frac{27}{4}$

= 3x = $\frac{27}{4}$ - $\frac{6}{5}$

( let's take the LCM of 4 and 5 = 20

= 3x = $\frac{135}{20}$ - $\frac{24}{20}$

= 3x = $\frac{111}{20}$

= x = $\frac{111}{20}$ ÷ $\frac{3}{1}$ = $\frac{111}{20}$ × $\frac{1}{3}$ = $\frac{37}{20}$

So, the weight of the equal bags are $\frac{37}{20}$ and the weight of the third bag ( heavy one ) is $\frac{37}{20}$ + $\frac{6}{5}$ = $\frac{37}{20}$ + $\frac{24}{20}$ = $\frac{61}{20}$

1st bag = $\frac{37}{20}$ kg

2nd bag = $\frac{37}{20}$ kg

3rd bag = $\frac{61}{20}$ kg

Hope it helps...

7 0

3 years ago

Find the price-demand equation for a particular brand television when the demand is 20 TVs per week at $150 per TV, given that t

Alina [70]

Answer:

~ $150=50e^{-0.01()20}$

~ $p(100)=\$127.7$

Step-by-step explanation:

From the question we are told that:

Price of 20TVs per week $P_{20}=\$150$

Marginal price-demand function $p'(x)=-0.5e-0.01x$

Generally the The Marginal price function is mathematically given by

$p'(x)=-0.5e^{-0.01x}$

$p(x)=\int-0.5e^{-0.01x}$

$p(x)=50e^{-0.001x}+C$

Therefore the equation when the demand is 20 TVs per week at $150 per TV

$150=50e^{-0.01()20}$

Giving

$p(x)=50e^{-0.01x}+150-50e^{-0.01(20)}$

Therefore the Price when the demand is 100 TVs per week

$p(100)=50e^{-0.01(100)}+150-50e^{-0.01(20)}$

$p(100)=\$127.7$

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3 years ago

15 POINTS<br> 1.) name two planes that intersect in WX in the figure to the right

SOVA2 [1]

The correct answer is C

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3 years ago

HELP needed urgently cause this is a huge grade for my school

Annette [7]

Answer:

1.72 2.128 3.8 4.15

Step-by-step explanation:

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3 years ago

You have 500 sheets of notebook paper. After 1 week, you have 72% of the sheets left. You use the same number of sheets each wee

slega [8]

Since you used 28% of your paper

28% = .28

500 x .28 = 140 sheets used

0,500) (1,360)

m = 360-500/1-0

m = -140

Answer:

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3 years ago