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dezoksy [38]
3 years ago
7

PLS HELP!!!!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

2. simplifying multiplication property of equality

3. x - 2 = 8

5. x = 10 , addition property of equality

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The equation is \frac{x-2}{4}=2

- The value of x is 10

- We want to a statement reason to each step to complete the proof

* <em>Lets write each step with statement reason</em>

1. \frac{x-2}{4}=2  ⇒ Given

2. 4(\frac{x-2}{4})=4*2  ⇒ simplifying multiplication property of equality

3. x - 2 = 8  ⇒ Simplifying

4. x - 2 + 2 = 8 + 2                      

5. x = 10  ⇒  addition property of equality

- In step 2 we multiply both sides by 4 to cancel the denominator of

 the left hand side <u><em>(simplifying multiplication property of equality)</em></u>

- Then we simplify the two sides to get <u><em>(x - 2 = 8)</em></u>

- Then we add two to both sides to cancel -2 in the left hand side

- Then after adding we find <u><em>(x = 10)</em></u> , <u><em>(addition property of equality)</em></u>

* The answer is:

2. simplifying multiplication property of equality

3. x - 2 = 8

5. x = 10 , addition property of equality

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PR is an altitude

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The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

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What is the middle of 1/2 and 3/4
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Robert bought 2.45 pounds of trail mix. The trail mix costs $6.75 per pound.
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Robert spent $16.54 for the trail mix.

Step-by-step explanation:

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Brianna bought 134 pounds of cheese that cost $3.00 per pound. What is the total cost of the cheese?
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3 years ago
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11. A club has 45 members and its membership committee has 7 members. How many different
HACTEHA [7]

Answer: \Large\boxed{45379620}

Step-by-step explanation:

<u>Given information</u>

Total members = 45

Number of membership = 7

<u>Concept</u>

Imagine that the membership is seating where people need to sit:

_____    _____    _____    _____    _____    _____    _____

For every position, there can be only 1 member, and 1 member can only be in one membership position, so there will not be the repetition of members.

Also, since order does not matter in assigning memberships, we use a <u>combination</u>

<u>Given formula</u>

\dbinom{n}{r}=\dfrac{n!}{(n-r)!r!}

n=size~of~the~set\\r=number~of~selected

<u>Substitute values into the given formula</u>

\dbinom{45}{7}=\dfrac{45!}{(38)!7!}

<u>Simplify the fraction by canceling out repeating values</u>

\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39\times38!}{(38)!7!}

\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39\times\underline{38!}}{(\underline{38)!}7!}

\dbinom{45}{7}=\dfrac{45\times44\times43\times42\times41\times40\times39}{7!}

\Large\boxed{\dbinom{45}{7}=45379620}

Hope this helps!! :)

Please let me know if you have any questions

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