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Oksi-84 [34.3K]
2 years ago
9

Genie is making cookies and brownies. Each cookie uses 8 grams of flour and each brownie uses 12 grams of flour. She wants to ma

ke more than 125 cookies and brownies altogether. If Genie has a total of 2,000 grams of flour, which system of inequalities models correctly the number of cookies, c, and brownies, b, she can make? ) C+b> 125 A) 8c + 12b s 2000 c+b2 125 8c + 12b s 2000 B) c+b< 125 C) 8c + 12b s 2000 c+bs 125 D) 8c + 12b s 2000
Mathematics
1 answer:
Nikolay [14]2 years ago
8 0

The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Let c represent the number of cookies and let b represent the number of brownies.

Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:

c + b ≥ 125   (1)

Also, Genie has a total of 2,000 grams of flour, hence:

8c + 12b ≤ 2000  (2)

Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Find out more at: brainly.com/question/15137133?referrer=searchResults

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Answer:

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vova2212 [387]

Given:

second term = 18

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The nth term of a geometric sequence is:

\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}

Hence, we have:

\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

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Step-by-step explanation:

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2 years ago
What are the solutions of the equation (x - 6) (x - 8) =8
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x=4  x=10

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(x - 6) (x - 8) =8

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x^2 -14x +48-8 = 8-8

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3 years ago
Your school wants to take out an ad in the paper congratulating the basketball team on a successful​ season, as shown to the rig
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Answer:

x_1 =-14.43 in, x_2 = 2.426in

Since the measurement can't be negative the correct answer for this case would be x =2.426 in

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

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And we know that the initial area is a half of the entire area in red A_i = \frac{A_f}{2}, so then:

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