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3 years ago

Marla made an error when solving the equation shown. What was her error ,and how should she fix it?

1 answer:

8 0

In Step 1, she used the Distributive Property incorrectly. She should have distributed the 3 to the 2. The equation should have been

3x + 6 + 1 = 24.

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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 the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
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:

 $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$

Then:

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

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:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

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

Bonds from the city of tavel gorge worth $1,000 each are selling at 110.611. if sean wishes to purchase three such bonds, how mu

umka2103 [35]

The amount that will be expected to be paid for the bonds that are bought will be C. $3,318.33

<h3>How to calculate the amount of bonds?</h3>

From the information given, the bonds from the city of tavel gorge worth $1,000 each are selling at 110.611 and Sean wishes to purchase three such bonds.

Therefore, the amount for the bonds will be:

= 1110.611 × 3

= 3,318.33

In conclusion, the correct option is C.

Learn more about bonds on:

brainly.com/question/2775110

#SPJ4

8 0

2 years ago

PLS HELP QUICK Find the length of side x in simplest radical form with a rational denominator

Alja [10]

Answer:

x= $\sqrt{6}$

Step-by-step explanation:

you might need a calculator to get the answer but since it is a right triangle the legs of the triangle in this case x and the $\sqrt{6}$ are the same length

3 0

3 years ago

What unfortunate mistake did the champion ice-skater make with his gold medal

kvv77 [185]

Are there any multiple choice answers?

3 0

3 years ago

(-11/2x+3)-2(-11/4x-5/2)

Zolol [24]

Answer:

Solution

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(

−

)

\frac{-11x-4(\frac{-11x-10}{4})+6}{2}

2−11x−4(4−11x−10)+6

Step-by-step explanation:

4 0

2 years ago