Jambalaya is a Cajun dish made from chicken, sausage, and rice. Simone is making a large pot of jambalaya for a party. Chicken costs $6 per pound, sausage costs $3 per pound, and rice costs $1 per pound. She spends $42 on 13.5 pounds of food. She buys twice as much rice as sausage. How much chicken, sausage, and rice will she use in her dish?Can someone please show me how to make this into 3 algebraic equations. I should be good from there. I would really appreciate it.

Answers

Answer 1

Answer: $x- amount\ of\ chicken-\ cost\ 6\$\ per\ pound\n y-amount\ of sausage\ - cost\ 3\$\ per\ pound\n z-amount\ of rice-\ cost\ 1\$\ per\ pound \n\n x+y+z=13,5\ and\n 6*x+3*y+1z=42 \ and\n z=2y\n\n First\ substitude\ z=2y\ to \ both\ equations:\n \left \{ {{x+y+2y=13,5} \atop {6x+3y+2y=42}} \right. \n\n \left \{ {{x+3y=13,5} \atop {6x+5y=42}} \right. |First\ equation\ multiply\ by\ -6\n\n \left \{ {{-6x-18y=-81 } \atop {6x+5y=42}} \right.|Adding\ equations\n \+\ -\ -\ -\ -\ -\ -\- \n -13y=-39|:-13$ $y=3\n x+3y=13,5\n x+3*3=13,5\n x=13,5-9=4,5\n x=4,5\n z=2y\n z=2*3=6\n She\ will \ use \ 4,5\ pounds\ of\ chicken, \ 3\ pounds\ of\ sausage\n and\ 6\ pounds\ of \ rice$

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How to work out 100 divided by 150 without a calculator?

Answers

100 / 150
I always simplify fractions by dividing the top and bottom of the fraction by the same numbers. Choose simple numbers you can do in your head, like 2.
I know 100/2 = 50 and 150/2 = 75
so now I have the fraction 50/75
then simplify it even more. Try dividing both top and bottom by 5s.
50/5=10 and 75/5=15
so now I have the fraction 10/15
now keep dividing by 5s.
10/5=2 and 15/5=3
so 100/150 simplifies to 2/3, or in decimal form 0.6666666666 repeating

If you have a new deck of shuffled cards, what is the probability you will choose an ace? (52 cards, no jokers) A) 1 13 B) 1 2 C) 1 4 D) 1 6

Answers

Answer:

B 1/2

Step-by-step explanation:

I looked it up.

But I think it'd be C because there would be 4 aces in the deck, and C has 1/4

Answer: 1/13 is the correct answer.

Step-by-step explanation: You put the total amount of aces, which is four, on the top part of your fraction and the total number of 52 cards on the bottom of your fraction. Since four will divide into both numbers, you simplify 4/52 to get 1/13. 4 divided by four is one. 52 divided by 4 is 13. That is how you get your 1/13 from 4/52. Answer was confirmed correct on the test I took. I hope this helps you! Thanks!

If h(2) = 3 and h'(2) = -7, find d/dx(h(x)/x) x = 2.

Answers

Answer: -17/4

Work Shown

$\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{\frac{d}{d\text{x}}(h(\text{x}))*\text{x}-h(\text{x})*\frac{d}{d\text{x}}(\text{x})}{\text{x}^2} \ \text{ .... quotient rule}\n\n\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n$

Evaluate that at x = 2.

$\frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n=(h'(2)*2 - h(2))/(2^2)\n\n=(-7*2 - 3)/(2^2)\n\n=-(17)/(4)\n\n$

Therefore,

$\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right)=-(17)/(4) \ \text{ when h(2) = 3, h'(2) = -7, and x = 2}\n\n$

Celia and Ryan are starting a nutrition program. Celia currently consume 1200 calories a day and will increase that number by 100 calories each day. Ryan currently consumes 3230 calories each day and will decrease that number by 190 each day. they will continue this pattern until they are both consuming the same number of calories per day. in how many days will that be.

Answers

In 8 days they both will be concuming the same amount of calories

You earn $50,000 dollars per year and the federal tax rate is 10%. Your gross income isa. $5,000
b. $10,000
c. $45,000
d. $50,000

Answers

Answer:

d. $50,000

Step-by-step explanation:

Since, gross pay is the payment before charging any tax or deduction.

Given,

The original earning = $ 50,000,

Percentage of federal tax rate = 10%,

So, the gross income would be $ 50,000

Note : the gross income after deduction of any taxes is called total taxable income.

Hence, OPTION d is correct.

A because if you multiply 50,000 by .10 (10%) you'll get 5,000

Sarah has been training for a marathon, which will cover a distance of 42.195 km. In trainingshe has consistently run 1km each 6 minutes. How long will it take Sarah to complete the
Marathon if she runs at this pace consistently throughout the race?

Answers

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

1km = 6 minutes

42.195km = ?

42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

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