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3 years ago

Which situation can be represented by 80x > 150 + 50x?

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer:

All numbers greater than 5, i.e., $x>5$ .

Step-by-step explanation:

The given inequality is

$80x>150+50x$

Isolate variable terms on one side to find the solution.

Subtract 50x from both sides.

$80x-50x>150+50x-50x$

$30x>150$

Divide both sides by 30.

$\dfrac{30x}{30}>\dfrac{150}{30}$

$x>5$

It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.

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A fast-food company is interested in knowing the probability of whether a customer viewed an advertisement for their new special

lord [1]

Answer:

45% probability that a randomly selected customer saw the advertisement on the internet or on television

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a customer saw the advertisement on the internet.

B is the probability that a customer saw the advertisement on television.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a customer saw the advertisement on the internet but not on television and $A \cap B$ is the probability that the customers saw the advertisement in both the internet and on television.

By the same logic, we have that:

$B = b + (A \cap B)$

12% saw it on both the internet and on television.

This means that $A \cap B = 0.12$

20% saw it on television

This means that $B = 0.2$

37% of customers saw the advertisement on the internet

This means that $A = 0.37$

What is the probability that a randomly selected customer saw the advertisement on the internet or on television

$A \cup B = A + B - (A \cap B) = 0.37 + 0.2 - 0.12 = 0.45$

45% probability that a randomly selected customer saw the advertisement on the internet or on television

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3 years ago

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Step-by-step explanation:

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4 years ago

A recipe calls for 3 1/2 cups of sugar. If you want to make only 1/3 of the recipe, how much sugar should you use?

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Answer: 1 1/6 cups of sugar

Step-by-step explanation:

First let’s convert 3 1/2 into an improper fraction: 7/2

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3 years ago