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3 years ago

5/2c-3=3/7c+4 and please explain

1 answer:

5 0

5/2c - 3 = 3/7c + 4...subtract 3/7c from both sides
5/2c - 3/7c - 3 = 4.....add 3 to both sides
5/2c - 3/7c = 4 + 3....common denominator of 7 and 2 is 14
35/14c - 6/14c = 7...simplify
29/14c = 7....multiply both sides by 14/29, eliminating the 29/14 on left
c = 7 * 14/29
c = 98/29 = 3 11/29

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three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. determine the capacity of the greatest vessel

SpyIntel [72]

A vessel of 7,560 liters

Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, 7560, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920

The Least Common Multiple for the 3 number is;

= 7560

Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.

Learn More:

For more on Least Common Multiple check out;

brainly.com/question/11978021

#LearnWithBrainly

5 0

3 years ago

Um negociante comprou 8 barricas de vinho todas com a mesma capacidade tendo pago R$7,00 o litro é vendido a R$9,00 ele ganhou a

Law Incorporation [45]

Answer:

each barrel has a capacity of 78,75 liters

Step-by-step explanation:

since the sold 8 barrels and assuming that each have the same capacity and are sold to the same price, the total amount he earned is

total earnings = number of barrels * number of liters/ barrel * earnings/liter

R$1,260,00 = 8 barrels * number of liters/ barrel * ( R$9,00- $7,00) /liter

number of liters/ barrel = R$1,260,00/(8 barrels*R$2,00 /liter ) = 78,75 liters/barrel

therefore each barrel has a capacity of 78,75 liters

5 0

3 years ago

Find the area under the curve y = 13/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000

zvonat [6]

Answer:

t = 10

$A = 32496.75$

t = 100

$A = 324999996.8$

t = 1000

$A=3.25\times 10^{12}$

Step-by-step explanation:

The area under the curve is calculated by using the following definite integral:

$A = \int\limits^t_ {1} \,{13\cdot x^{3}} dx$

$A = 13 \int\limits^t_1 {x^{3}} \, dx$

$A = \frac{13}{4}\cdot (t^{4}-1)$

Evaluated areas are presented below:

t = 10

$A = 32496.75$

t = 100

$A = 324999996.8$

t = 1000

$A=3.25\times 10^{12}$

8 0

3 years ago

Help would be appreciated.

Ket [755]

Frequency=(speed of sound)/(wavelength)
that means
wavelength =(speed of sound )/(frequency)
speed of sound=344 m/s

4.
frequency=587. 33 Hz
thus
wavelength=344/587.33
=0.586 m

5.
frequency=493.88 nHz
thus
wavelength=344/493.88
=0.69653 m

6. Frequency= 698.46 Hz
wavelength= 344/698.46
wavelength=0.4925 m

9. Frequency =783.99 Hz
wavelength=344/783.99
wavelength=0.439 m

5 0

3 years ago

What is 62.5 percent in two equevelent forms

Eddi Din [679]

62.5% - percent
.625 - decimal
5/8 - faction

8 0

3 years ago

Read 2 more answers