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Mrrafil [7]
3 years ago
9

Craig has $102 to but food for his cats and birds.Bags of bird food cost $17 each and bags of cat food costs $6 each. Write an i

nequality to represent how many bags of bird food,b, and cat food,c, he can buy.
Mathematics
1 answer:
Lesechka [4]3 years ago
6 0

Answer:

Step-by-step explanation:

Let b represent the number of bags of bird food that he can buy.

Let c represent the number of bags of cat food that he can buy.

Bags of bird food cost $17 each. This means that the total cost of b bags of bird food would be

17 × b = $17b

Bags of cat food costs $6 each. This means that the total cost of c bags of cat food would be

6 × c = $6c

Craig has $102 to but food for his cats and birds.

The inequality to represent this situation would be

17b + 6c ≤ 102

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REY [17]

Answer:

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Step-by-step explanation:

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3 years ago
The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, P, a certain interest rate,
Whitepunk [10]

Answer:

  r equals start fraction cap a minus p over p t end fraction

Step-by-step explanation:

Subtract the term non containing r, then divide by the coefficient of r.

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Answer:

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6 0
3 years ago
A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen
noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.93

Calculate P(at least one valve opens).

This is P(X \geq 1)

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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Finally

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193

There is a 99.99998% probability that at least one valve opens.

5 0
3 years ago
Read 2 more answers
Simplify the Expression<br> 2(x +14) - (2x - 5)
elena55 [62]

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

7 0
3 years ago
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