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3 years ago

What is this property 14-8=2x+8-8 6=2x

Mathematics

1 answer:

Molodets [167]3 years ago

8 0

Answer:

Distributive?

Step-by-step explanation:

The way the problem is laid out confuses me but if it is the problem that you laid out, it should be Distributive.

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There's are 8 students who have 3/4 of a cake they want to share. How much of the cake will each student get if they spilt it ev

dmitriy555 [2]

Since there are 8 students, each student gets 1/8 of the available cake. Since there is 3/4 of a cake available, they will get 1/8 of 3/4.

Source: https://www.wyzant.com/resources/answers/142015/there_are_8_students_in_a_group_and_3_4_cake_how_much_cake_will_each_student_get_if_divided_evenly

3 0

4 years ago

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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

2x + 5 = 10 What is the first operation used in solving this equation.

AleksAgata [21]

Subtract the five from the ten

7 0

3 years ago

8th pre-algebra, WORTH 30POINTS!

marusya05 [52]

Answer:

y = a + 2b + 3c

y = 4+ 2(7) + 3(2)

y = 4 + 14 + 6

y = 24

Step-by-step explanation:

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3 years ago

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3. The area of a square garden is 200 m? How long is the diagonal? (1 point)

zavuch27 [327]

Answer:

There should be 4 answers but pick the one closest to one side of the square.

Step-by-step explanation:

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3 years ago