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3 years ago

-2 < 3x+4 < 31 find x

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

First rewrite into 2 inequalities,

$-2\lt3x+4$

$3x+4\lt31$

Solve each of the inequalities,

$-2\lt3x+4\implies3x\gt-6\implies x\gt-2$

$3x+4\lt31\implies 3x\lt27\implies x\lt9$

So our x is between -2 and 9 which can be written as,

$-2\lt x\lt9$

or as an interval,

$x\in(-2,9)$

Hope this helps :)

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Phantasy [73]

Answer:

The team can bring 12 players to the tournament.

Step-by-step explanation:

With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:

c=830.50+30.75x, where:

c is the cost of going to a tournament

x is the number of players

Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:

1199.50=830.50+30.75x

1199.50-830.50=30.75x

369=30.75x

x=369/30.75

x=12

According to this, the answer is that the team can bring 12 players to the tournament.

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3 years ago

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2 years ago

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3 years ago

Miss Taylor graded 50 English research papers. Twelve of them received a grade of A. Miss Taylor drew a circle graph to display

nikdorinn [45]

<h3>Answer:</h3>

$\large\boxed{24\%}$

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to find how much percentage the circle graph is for "A" papers.

To solve this question, we would need to use information from the question.

Important information:

Graded 50 English research papers
12 of those papers had an "A" grade

With the information above, we can solve the question.

We know that there are 12 research papers that received an A and there are 50 research papers in total.

We would divide 12 by 50 in order to find the percentage of the papers that got an A.

$12\div50=24$

When you divide, you should get 24.

This means that 24% of the circle graph is devoted to "A" papers.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

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3 years ago

In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently

Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

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