If X=14 and y=-6 and z=1 find the valueii- ( x+3)(y-4)(z-9) ​

Final answer:

To determine the total number of people surveyed when given the number who preferred swimming and the percentage they represent, you set up an equation based on the percentage and then solve for the total. With this data, 40 people were surveyed.

Explanation:

The question pertains to the mathematical concept of percentages. You mention that 27.5 percent of the surveyed population favored swimming and this equaled to 11 people. To calculate the total number of people surveyed, we let the total number be 'x'. Therefore, the mathematical equation, based on the provided data, becomes 27.5% of 'x' = 11. In mathematical terms, it can be written as 0.275x = 11. For finding 'x', divide both sides of the equation by 0.275. Thus 'x' = 11 / 0.275 = 40. Therefore, based on the given percentages and data, it's inferred that a total of 40 people were surveyed.

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The Keller family spent a total of $63.04.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

First, let's find the cost of the meal before tax and tip.

We know that the total bill, including tax, is $55.35, which is equal to 100% + 8% (the tax rate) = 108% of the original meal cost.

We can set up an equation to solve for the original meal cost (let's call it x):

x + 0.08x = 55.35

Simplifying the left-hand side:

1.08x = 55.35

Dividing both sides by 1.08:

x = 51.25

So the cost of the meal before tax and tip was $51.25.

Next, let's calculate the amount of tax they paid:

0.08x = 0.08(51.25) = 4.10

So the tax they paid was $4.10.

Now let's calculate the tip they left for the server. They left a 15% tip on the original meal cost of $51.25:

0.15(51.25) = 7.69

So the tip they left was $7.69.

Finally, to find out how much they spent in total, we add up the cost of the meal, the tax, and the tip:

51.25 + 4.10 + 7.69 = 63.04

Therefore, the Keller family spent a total of $63.04.

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Complete question:

The Keller family's dinner bill is $55.35. This includes an 8% meal tax and a 15% tip on original meal for the server how much did they spend in total?

Answer:

Check pdf

Step-by-step explanation:

Answer:

...let x be the number

x+12+12-9+7=24

x+31-9=24

x+22=24

x=24-22=2

i am 2

Step-by-step explanation:

Based on the survey figures by Micah of the college students who could drive, we can infer that Michah's conclusion is not correct.

Why is Michah not correct?

Out of 60 college students surveyed, only 30 said they could drive. This means that only 50% could drive:

= 30 / 60

= 50%

A 50% relative frequency is not good enough to make the conclusion that one is more likely to drive in college. Rather it means that they are equally likely to drive or not to drive.

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Answer:

A. Figure A

Step-by-step explanation:

The protractor on the top left has an arrow halfway inbetween 50° and 60, making the angle 55°.

Therefore, the answer is Figure A.