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Yuri [45]
2 years ago
11

Sterling makes trail mix by mixing 2 parts peanuts with 3 parts chocolate candy. Sterling has an unlimited supply of peanuts in

the pantry, but only 18 cups of chocolate candy. How many cups of trail mix can he make?
Mathematics
1 answer:
rodikova [14]2 years ago
6 0

Answer:

The answer is 5.

Since he has 3 part chocolate all he has 18 cups left. You can keep adding 3 till you get 18 and how many ever groups you have with 3 (which is 5 groups) is the answer.

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Using the variable W to stand for width.

W = x-5 is an equation

or you could write the expression as just
x-5
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3 years ago
How to convert from grams to pounds?
8_murik_8 [283]

<u>Use a more precise conversion factor if you need a more precise measurement. 1 g = 0.00220462262 lb. 1 lb = 453.592 g (if you want to convert pounds to grams, multiply number of pounds by 453.592)</u>

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3 years ago
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Jan takes an IQ test at ages 7 and 9. Mike takes an IQ test at ages 5 and 9. Mark takes an IQ test at ages 7 and 10. Jane takes
sasho [114]

The IQ scores are most likely to be more positively correlated is Jan

7 0
2 years ago
A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an
pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = \frac{18}{37}

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = \frac{10}{37}

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = \frac{19}{37}

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = \frac{18}{37}+\frac{19}{37}-\frac{10}{37}

∴ P(small or green) = \frac{27}{37} = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

5 0
3 years ago
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

7 0
3 years ago
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