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4 years ago

How would I solve; A bakery has 456 dozen cookies. How many individual cookies are there ?

Mathematics

2 answers:

Over [174]4 years ago

6 0

Hi :")

Answer:

5472

Step-by-step explanation:

a dozen = 12 identical bodies

456 dozen cookies there are

12 x 456 = 5472

Good Luck ;)

#Turkey

andreev551 [17]4 years ago

3 0

Hi!

dozen = 12 individual cookies

So, 456 dozen = 456 * 12 = 5472 individual cookies.

Hope this helps!

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

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Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

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3 years ago

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2 years ago

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Therefore,
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4 years ago

a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye flour for a bread recipe. how many cups of white flour does the b

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3 years ago

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In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you w

aivan3 [116]

Answer: packages of buns: 100

packages of patties: 67

jars of pickles: 133

(100,67,133)

Step-by-step explanation: packages of buns: B

packages of patties: P

jars of pickles: J

B:P:J = 3:2:4

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Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.

Bx + Px + Jx = 300

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So,

3.300/9 = 100

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So: packages of buns: 100

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4 years ago