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Ksju [112]
1 year ago
6

22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwitho

ut any food left over.A)What is the greatestnumber of plates Lenin can prepare?B)How many pieces of chicken and rolls will there be in eachplate?
Mathematics
1 answer:
Nitella [24]1 year ago
7 0

Answer: The greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Step-by-step explanation:

Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.

To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4

The number of pieces of chicken in each plate = \dfrac{12}{4}=3

The number of pieces of rolls in each plate = \dfrac{16}{4}=4

So,  the greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

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On a test, leo is asked to completely factor the polynomial 3x3 – 3x 5x2 – 5. he uses double grouping to get (x2 – 1)(3x 5). has
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(x – 1)(x + 1)(3x + 5).

8 0
2 years ago
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A newly drilled water well produces 50,000 quarts of water per week. With no new water feeding the well, the production drops by
Sveta_85 [38]

Answer:

Total amount of water = 5,200,000

Step-by-step explanation:

Given:

water produced = 50,000 quarts of water per week

Production drop = 5% = 0.05 per year

Number of week in year = 52 week

Find:

Total amount of water

Computation:

Sum = a / r

a = 50,000 x 52

a = 2,600,000

Sum = a / [1-r]

Sum = 2,600,000 / 5%

Sum = 2,600,000 / 0.05

Total amount of water = 5,200,000

5 0
1 year ago
Lois says any addition equation where the addends are all the same can be written as a multiplication equation. Is Lois correct
USPshnik [31]
Lois is correct. This is because multiplication is repeated addition. It means that when your addends are just the same number but added several times, the sum is just equivalent to the product of that number times the number of times it was added. For example, 4+4+4 = 4×3 = 12.
6 0
2 years ago
evan has a job selling magazine and newspaper subscriptions. he earns $23 for each magazine subscription and $54 for each newspa
SashulF [63]
First we write the variables already defined:
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 n = the number of newspaper subscriptions sold
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5 0
2 years ago
How much heat is produced when 100 mL of 0.250 M HCl (density, 1.00 g/mL) and 200 mL of 0.150 M NaOH (density, 1.00 g/mL) are mi
alexira [117]

Answer:

1.45 kilo joules of heat is produced when 100 mL of 0.250 M HCl and 200 mL of 0.150 M NaOH.

1.15°C is the temperature increase.

Step-by-step explanation:

HCl+NaOH\rightarrow NaCl+H_2O ,ΔH°=-58 kJ/mol

Molarity=\frac{Moles}{Volume (L)}

Molarity of HCl = 0.250 M

Volume of HCl = 100 ml = 0.1 L

Moles of HCl = n

n=0.250\times 0.1 L=0.0250 mol

Molarity of NaOH= 0.150 M

Volume of NaOH= 200 ml = 0.2 L

Moles of NaOH= n'

n'=0.150\times 0.2 L=0.030 mol

According to reaction, 1 mol of HCl reacts with 1 mol of NaOH. Then 0.0250 mole of HCl will reacts with 0.0250 mol of NaOH.

\frac{1}{1}\times 0.0250 mol=0.0250 mol of NaOH

As we can see that moles of NaOH are in excess.Hence, excessive agent.

The enthalpy of the reaction = ΔH°=-58 kJ/mol

Energy released when 0.0250 moles of HCl reacted with 0.0250 moles of NaOH:

Q=\Delta H^o\times 0.0250 mol=-58 kJ/mol\times 0.0250 mol=-1.45 kJ

(Negative sign indicates that heat is liberated.)

Mass of the HCL solution = m

Volume of HCl ,v= 100 ml

Density of HCl solution = d = 1.00 g/mL

m=d\times v=1.00 g/mL\times 100 mL=100 g

Mass of NaOH solution = m'

Volume of NaOH ,v' = 200 ml

Density of NaOH solution = d' = 1.00 g/mL

m'=d'\times v'=1.00 g/mL\times 200 mL=200 g

Mass of the solution after mixing,M = m + m' = 100  g + 200 g = 300 g

Heat absorbed by the final solution formed after mixing = Q'

Heat absorbed by the final solution formed after mixing = Heat released during reaction

Q' = -Q = -(-1.45 kJ)= 1.45 kJ=1450 J  (1kJ = 1000 J)

Q' = mcΔT

generally, m = mass of the substance

c  = specific heat of the substance

ΔT = Change in temperature

Specific heat capacity of the product formed after mixing = c = 4.19 J/g°C

Mass of the resulting  mix = 300 g

ΔT = ?

1450 J=300g\times 4.19 J/g^oC\times \Delta T

\Delta T=\frac{1450 J}{300g\times 4.19 J/g^oC}

\Delta T=1.15^oC

1.15°C is the temperature increase.

8 0
1 year ago
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