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julsineya [31]
3 years ago
14

An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seat

s are in the auditorium? (1 point)
Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0

Answer:

My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.

Step-by-step explanation:

Grace [21]3 years ago
5 0

Answer:

1170

Step-by-step explanation:

<em>hey there,</em>

(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)

< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.

Formula for the sum of an arithmetic sequence: S_n=\frac{n}{2} (a_1+a_n)

We know there are 30 total rows so <em>n</em> = 30. <em>a1 </em>is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what <em>an</em> is equal to.

For this, we will use the basic formula you learned previously: a_n=dn+c

<em>d</em> (the common difference) = a2-a1 = 12-10=2

<em>c </em>(the common ratio) = a1-d = 10-2 = 8

an = dn + c = 2(30) + 8 = 68

Now that we have found what a_n is equal to, we can plug everything into the sum equation.

S_n = \frac{30}{2} (10+68)=1170

So 1170 is your final answer. >

<u>Hope this helped! Feel free to ask anything else.</u>

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2 years ago
How can u solve y= -x -4 if I don't know my given intercepts
lukranit [14]
To solve you would use the equation y=mx=b .
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3 years ago
Larry reads that 1 out of 4 eggs contains salmonella bacteria, so he never uses more than 3 eggs in cooking. If eggs do or don't
aleksley [76]

Answer:

57.8125% or approx. 57.8%

Step-by-step explanation:

There is a 1/4, or 25%, or 0.25 chance that an egg has salmonella.

Thus, there is a 75%, or 0.75 chance that an egg DOESN'T contain salmonella.

Let's find the probability that all 3 of Larry's eggs are free from salmonella. Larry would have to hit that 75% chance 3 times in a row. The chance of that happening is:

0.75 * 0.75 * 0.75 = 0.75^3 = 0.421875

From this, we can deduce that if there is a 0.421875 (42.1875%) chance that all eggs are safe to eat, there must be a...

1 - 0.421875 = 0.578125

...0.578125 (57.8125%) chance that 1 or more of Larry's eggs do have salmonella.

Answer: approx. 57.8% or 57.8125%

7 0
3 years ago
How do you solve this?
puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let x represent the width.

Since the length is 7 feet longer, we can represent the length by x+7.

Now that we have our values for the length and the width we can multiply them together to find our area.

(x)(x+7)=x^{2} +7x

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

(x+7)(x+14)

And multiply our area by 3.

3(x^{2} +7x)

set these equal to each other to find your new equation.

(x+7)(x+14)=3(x^{2} +7x)

Now you need to solve for x. To do this first muliply (x+7) and (x+14).

(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98

Then multiply 3(x^{2} +7x)

3(x^{2} +7x)=\\3x^{2} +21x

Now you can begin solving for x.

x^{2} +21x+98=3x^{2} +21x

Subtract x^{2} from both sides.

21x+98=2x^{2} +21x

Subtract 21x from both sides.

98=2x^{2}

Divide by 2.

49=x^{2}

And finally take the sqaure root of both sides.

\sqrt{x^{2} }=\sqrt{49}\\x=7

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of x, we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

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Ivenika [448]

Answer: 1,3,4

Step-by-step explanation:

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