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Alborosie
2 years ago
4

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to

-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
Mathematics
1 answer:
Helga [31]2 years ago
6 0

Answer:

8 servings

Step-by-step explanation:

<h3>Given:</h3>
  • Rice-to-spice ratio = 15:1
  • Amount of spice = 40 grams
  • Rice required for one serving =  75 grams
<h3>To find:</h3>
  • Number of servings
<h3>Solution:</h3>

<u>Spice required for one serving, using the rice-to-spice ratio to calculate:</u>

  • 75 grams/15 = 5 grams

<u>David can make servings according to amount of spice he has:</u>

  • 40 grams / 5 grams = 8

<u>Answer:</u> David will be able to make 8 servings

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<span>0.002 1/10 of what
=> 1/10a = 0.002
=> Now, let’s multiply both sides with 10 to find the answer since we’re looking for the 1/10 of what number.
=> 10 x 1/10 a = 10 x 0.002
=>  a = 0.02

Thus, 0.002 is the 1/10 of 0.02 number.
let’s check if we have a correct answer.
To check just do the other way around, Divide our answer by 10.
=> 0.02 / 10
=> 0.002
Therefore, our answer is correct

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So we expect a general solution of the form

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\begin{cases}c_1+c_2=0\\-c_1+2c_2+2c_3+2c_4=1\\c_1+4c_2+8c_3+16c_4=1\\-c_1+8c_2+24c_3+72c_4=2\end{cases}\implies c_1=-\dfrac8{27},c_2=\dfrac8{27},c_3=\dfrac7{72},c_4=-\dfrac1{24}

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h_n=-\dfrac8{27}(-1)^n+\left(\dfrac8{27}+\dfrac{7n}{72}-\dfrac{n^2}{24}\right)2^n

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\displaystyle\sum_{n\ge4}h_nx^n=5\sum_{n\ge4}h_{n-1}x^n-6\sum_{n\ge4}h_{n-2}x^n-4\sum_{n\ge4}h_{n-3}x^n+8\sum_{n\ge4}h_{n-4}x^n
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G(x)-x-x^2-2x^3=5x(G(x)-x-x^2)-6x^2(G(x)-x)-4x^3G(x)+8x^4G(x)
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ICE Princess25 [194]

Answer: There are 20 girls who preferred insta.

Step-by-step explanation:

Since we have given that

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