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Andrei [34K]
3 years ago
5

Trinh is catering a wedding that 112 people will attend she is making two cakes a chocolate cake and a carrot cake 5/8 of the gu

ests Will be served chocolate cake and the rest will receive carrot cake how many guest will get carrot cake
Mathematics
2 answers:
maks197457 [2]3 years ago
7 0

Answer:

42 guests will get carrot cake.

Step-by-step explanation:

Total number of guests in wedding = 112

Fraction of guests to be served with chocolate cake = \frac{5}{8}

Fraction of guests to be served with carrot cake = 1-\frac{5}{8}=\frac{3}{8}

Number of guest to be served with carrot cake:

\frac{3}{8}\times 112=42

Number of guest to be served with chocolate cake: 112 - 42 = 70

erica [24]3 years ago
6 0
70 people will be served carrot cake.
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What's the best Approximation? :3
musickatia [10]
Area of shaded region = Area of larger circle - Area of smaller circle.

We know, Area of a Circle = πr²
So, A = πr₁² - πr₂²
A = π (r₁² - r₂²)
A = π(10.2² - 5.4²)
A = 3.14 (104.04 - 29.16)
A = 3.14 (74.88)
A = 235.12

In short, Your Answer would be 235.12 cm²

Hope this helps!
3 0
3 years ago
PLEASE HELP!!!
Aliun [14]

Answer:

a. 8.75 M NaOH

b. 0.425 M CuCl₂ or 0.43 M CuCl₂

c. 0.067 M CaCO₃ or 0.07 M CaCO₃

Step-by-step explanation:

Molality is computed using the formula:

M = \dfrac{Moles\:of\:solute}{Liters\:of\:solution}

So first thing you need to do is determine how many moles of solute there are and divide it by the solution in liters.

Converting mass to moles, you need to get the mass of each solute per mole. You can use the periodic table to get the atomic mass (which is the grams per mole of each atom) of each of the elements involved. Then add them up and you will have how many grams per mole of each compound.

1. 35.0g of NaOH in 100ml H₂O

Element         number of atoms            atomic mass           TOTAL

Na                              1                   x             22.99g/mol  =    22.99g/mol

O                                1                   x             16.00g/mol   =    16.00g/mol

H                                1                   x                1.01g/mol   =<u>       1.01g/mol</u>

                                                                                                 40.00g/mol

This means that the molecular mass of NaOH is 40.00 g/mol

Then we use this to convert 35.0g of NaOH to moles:

35.0g \:of\:NaOH \times \dfrac{1\:mole\:of\:NaOH}{40.00g\:of\:NaOH} = \dfrac{35.0\:moles\:of\:NaOH}{40.00}=0.875\:moles\:of\:NaOH

Now that you have the number of moles we divide it by the solution in liters. Before we can do that you have to conver 100ml to L.

100ml\times\dfrac{1L}{1000ml} = 0.1 L

Then we divide it:

\dfrac{0.875\:moles\:of\:NaOH}{0.1L of solution} = 8.75M\: NaOH

2. 20.0g CuCl₂ in 350ml H₂O

Element         number of atoms            atomic mass           TOTAL

Cu                              1                   x             63.55g/mol  =    63.55g/mol

Cl                               2                   x             34.45g/mol   =   <u>70.90g/mol</u>

                                                                                                134.45g/mol

20.g\:of\:CuCl_2\times\dfrac{1\:mole\:of\:CuCl_2}{134.45\:g\:of\:CuCl_2}=0.1488\:moles\:of\:CuCl_2

350ml = 0.350L

\dfrac{0.1488\:moles\:of\:CuCl_2}{0.350L\:of\:solution}=0.425M\:CuCl_2

3. 3.35g CaCO₃ in 500ml

Element         number of atoms            atomic mass           TOTAL

Ca                              1                   x             40.08g/mol  =    40.08g/mol

C                                1                   x              12.01g/mol   =    12.01g/mol

O                                3                  x              16.00g/mol   =<u>   48.00g/mol</u>

                                                                                                100.09g/mol

3.35g\:of\:CaCO_3\times\dfrac{1\:mole\:of\:CaCO_3}{100.09\:g\:of\:CaCO_3}=0.0335\:moles\:of\:CaCO_3

500ml = 0.5L

\dfrac{0.0335\:moles\:of\:CaCO_3}{0.5L}=0.067M\:CaCo_3

4 0
3 years ago
Lou made $24 mowing lawns. David made twice as much as Lou mowing lawns, and then David made another $16 from washing windows. W
mixer [17]

Answer:

64

Step-by-step explanation:

24 times 2 is 48 then add 16 it is 64


4 0
3 years ago
Samuel has a collection of toy cars. His favorites are the 27
BlackZzzverrR [31]
Hey! If 27 cars make up 60%, divide that by 6 to get 10% of the answer which is 4.5. Multiply 4.5 by 10 to get 100% which is 45 cars for 100%.


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4 0
3 years ago
How do I simplify the n^-6*n^3 topic "Negative and Zero Exponents"
Alchen [17]
Since you’re multiplying n^-6 and n^3, you can add the exponents: -6+3 = -3

n^-6 * n^3 = n^-3

If you need to finish without having a negative exponent in your answer, then remember a negative exponent means that factor is on the wrong side of the fraction.

n^-3 = n^-3 / 1 = 1/n^3

when the factor moves to the other side of the fraction, the side of the exponent changes.
7 0
3 years ago
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