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stiv31 [10]
3 years ago
7

The cost of two walnuts varies proportionality with weight

Mathematics
2 answers:
dmitriy555 [2]3 years ago
6 0

Answer:

c =  2.5w  

Step-by-step explanation:

c- being the cost

and

w- being how many pounds

Cerrena [4.2K]3 years ago
3 0

<u>ANSWER:  </u>

The cost of two walnuts varies proportionality with weight.The equation is c = 2.5w

<u>SOLUTION: </u>

Given, the cost of two walnuts varies proportionality with weight a two pound bag costs $5, a five pound bag costs $12.50.

Let the proportionality constant be x.

According to the given information,

c = xw --- (1)

Where, c is cost in dollars.

x is proportionality constant

w weight of walnuts in pounds

Given that, a two pound bag costs $5  

Here, c = 5 and w = 2

So, substitute above values in (1)

5 = x(2)

x = \frac{5}{2}

x = 2.5

We have another case also, so let us check it also.

A five pound bag costs $12.50

Here, c = 12.50 and w = 5

So, substitute above values in (1)

12.5 = x(5)

x = \frac{12.5}{5} = 2.5

So the value of proportionality constant is 2.5

Hence, the equation is c = 2.5w

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Find the total cost to the nearest cent.<br> $49.95 pair of shoes; 5% tax
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$52.45

Step-by-step explanation:

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Every morning Sasha exercises for 20 minutes. She exercises k minutes every evening. Next week she will double her exercise time
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If k=20 minutes
Each day Sasha will exercise 2 times more. 2 times more than k is 2k.
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The formula to show how long Sasha will exercise each day next week is:
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4 years ago
a conservation agency tracks the sea turtle by counting the number of nesting sites where the turtles lay their eggs. The table
Tasya [4]

The exponential function is given by y = 46797(0.93)ˣ

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let n(x) represent the number of nesting sites, x years since 2001, hence, from table:

At (1, 46125):

46125 = ab¹   (1)

At (7, 27691):

27691 = ab⁷   (2)

Hence:

a = 46797, b = 0.93

The exponential function is given by y = 46797(0.93)ˣ

Find out more on exponential function at: brainly.com/question/12940982

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3 years ago
A coin is tossed 5 times. Find the probability that exactly 1 is a tail. Find the probability that at most 2 are tails.
Natalija [7]

Answer:

Step-by-step explanation:

<h2>First question</h2>

The only possibilities where there is exactly 1 tail are:

  1. (t,h,h,h,h)
  2. (h,t,h,h,h)
  3. (h,h,t,h,h)
  4. (h,h,h,t,h)
  5. (h,h,h,h,t)

those are 5 favorable outcomes.

where <em>h represent heads</em> and <em>t represent tails. </em>There are 2^5 32 total number of outcomes after tossing the coin 5 times. Because every time you toss the coin, you have 2 possibilities, and as you do it 5 times, those are 2^5 options. We can conclude from this that

The probability that exactly 1 is a tail is 5/32.

<h2>Second question</h2>

We already know the total number of outcomes; 32.  Now we need to find the number of favorable outcomes. In order to do that, we can divide our search in three cases: <em>1.-there are no tails, 2.-exactly 1 is a tail, 3.- exactly 2 are tails.</em>

The first case is 1 when every coin is a head. The second case we already solved it, and there are 5. The third case is the interesting one, we can count the outcomes as we did in the previous questions, but that's only because there are not too many outcomes.  Instead we are going to use combinations:

We need to have <u>2</u> tails, the other coins are going to be heads. We made <u>5</u> tosses, then the possible combinations are C_{5,2} = \frac{5!}{3!2!} = \frac{120}{6*2} = 10

Finally, we conclude that there are 1 + 5 + 10 favorable outcomes, and this implies that

The probability that at most 2 are tails is \frac{16}{32} = \frac{1}{2}.

4 0
4 years ago
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