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ratelena [41]
2 years ago
14

Barrett is ordering t-shirts for his school's student council. Company D charges a

Mathematics
1 answer:
stiv31 [10]2 years ago
5 0

Answer:

A. 6.25x + 30 > 9.75x+12

Step-by-step explanation:

This is because we know from the problem that x is the minimum number of t-shirts. We also know Company D charges a 6.25 fee for each tee, while Company E charges a 9.75 fee per tee.  Based on the information we know, we can choose the problem.

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What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
A King wanted to replace his Prime-Minister but didn't want to upset him too much. So he called the Prime-Minister to his chambe
Neporo4naja [7]

Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.

Step-by-step explanation:

3 0
3 years ago
Combine Like Terms :2y+7z-2z+4y+8+y+2
Viktor [21]

Answer:

7y + 5z + 10

Step-by-step explanation:

2y + 7z - 2z + 4y + 8 + y + 2

Like terms are terms that have the same variable part.

2y, 4y, y are like terms (remember that y is the same as 1y when you add)

7z, -2z are like terms

8, 2 are like terms

2y + 7z - 2z + 4y + 8 + y + 2 =

= 2y + 4y + y + 7z - 2z + 8 + 2

= 7y + 5z + 10

4 0
2 years ago
Determine the Domain and Range for promblems 1 and 2.
Nimfa-mama [501]

Answer:

<u>Nvgjvfknh</u>

Step-by-step explanation:

3 0
2 years ago
Simplify the expression below <br><img src="https://tex.z-dn.net/?f=7x%20%7B%20-%20%7D%5E%7B2%7D%20%20-%204z%20%2B%208x%20%7B%20
Alisiya [41]

Answer: -9z + 15/x^2

The correct answer is -9z + 15/x^2 when simplified

<em>Hope this helps =)</em>

3 0
2 years ago
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