allie is making 8 dozen chocolate chip muffins and the recipe she is using calls for 16 ounce of chocolate chips for 3 dozen how many ounces does she need for her new amount

Answers

Answer 1

Answer: First off start with a ratio by which the recipe is smaller than the required amount. $(8)/(3) =2.67$
Then multiply 16 ounces by that ratio and voila.

The answer is: she has to buy 43 ounces

Answer 2

Answer: 8 divided by 3 is 2.67. that times 16 is 42.67 , so a little less than 43 oz will be needed.

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Factor by grouping. Step by step appreciated

Answers

Answer:

(x^2+8) ( y+4)

Step-by-step explanation:

x^2y + 8y+ 4x^2 +32

Splitting into two groups

x^2y + 8y+ 4x^2 +32

Factor y out of the first group and 4 out of the second group

y( x^2+8) + 4(x^2+8)

Factor out (x^2+8)

(x^2+8) ( y+4)

Answer:

(x^2+4)(y+3)

Step-by-step explanation:

x^2y+4y+3x^2+12

factor by grouping

=x^2y+4y + 3x^2+12

left. right

take common in left y and in right 3

=y(x^2+4) + 3(x^2+4)

now common term is (x^2+4)

=(x^2+4) (y+3) answer

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

Answers

When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.

Answer:Sample Response: When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.

Step-by-step explanation:

a bookstore had 64 copies of a magazine. yesterday it sold 5/8 of them. how many copies were sold yesterday?write your answer in simplest form.