A company offers a nut mixture with 7 peanuts for every 4 almonds. The company changes the mixture to have 8 peanuts for every 5 almonds, but the number of nuts per container does not change. a. Complete a ratio table for each mixture. How many nuts are in the smallest possible container?

Old Mixture

Peanuts 7 14 21 28 35 42 49 56 63 70 77 84 91
Almonds
8
16 20 24 28
36 40 44 48 52
Total
22
44 55 66 77
99 110 121 132 143
New Mixture

Peanuts 8 16 24 32 40 48 56 64 72 80 88
Almonds
10 15 20 25 30
40
50
Total
26 39 52 65 78
104
130
There are
nuts are in the smallest possible container.

Question 2
b. Graph the ordered pairs from the tables. What can you conclude?
Both graphs begin at ( Response area, Response area ). The graph for the Response area mixture is slightly steeper, so it has Response area concentration of almonds.

Question 3
c. Almonds cost more than peanuts. Should the company charge more or less for the new mixture? Explain your reasoning.

The company
charge more for the new mixture. Almonds cost more and there are
of them in the new mixture than in the old mixture.

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

The graph of a function f(x)=(x+2)(x-4). which describes all of the values for which the graph is negative and increasing? all real values of x where x< -2 all real values of x where -2