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Svet_ta [14]
3 years ago
11

A bookstores having a 30% off sale Diary of a Wimpy Kid books are now $6.36 each what is the original price of the book

Mathematics
2 answers:
masha68 [24]3 years ago
7 0
Answer: $9.09


Explanation:

100% - 30% = 70

\textnormal {Original Price} = \cfrac{6.36}{70} \times 100 = \$9.09



The Wise Orange loves to read <span>Diary of a Wimpy Kid. Which store is having that 30% discount?</span>
stira [4]3 years ago
6 0
The "<span>Just shout whenever and I'll be there" theorem can be applied which says that

</span><span>\textit{The answer to the question ``A bookstore is having a 30\% off sale for} \\&#10;\textit{Diary of a Wimpy Kid books. If the books are now \$6.36 each, } \\ &#10;\textit{what is the original price of the book?" is \$9.09 each.}

Proof:

\displaystyle\sum_{i = 1}^{636}(0.01) = \displaystyle\sum_{i = 1}^{x}(0.01)  \cdot (1 - 0.30) \\ \\ \\&#10;=  \displaystyle\sum_{i = 1}^{x}(0.01)  = \frac{\displaystyle\sum_{i = 1}^{636}(0.01)}{1-0.30} \\ \\ \\&#10;= \sum_{i = 1}^{x}(0.01)  = 9.09&#10;

So x must be 909 cents. Therefore, it is $9.09.

I love you too.
</span>
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In how many ways can a committee of 5 people be chosen from a total of 30 possible people?
Stolb23 [73]

Answer:  142506

Step-by-step explanation:

Given : The total number of choices for people in committee = 30

The number of people need to be chosen =5

Since , here order doesn't matter, so we use combination.

The combination of r things taking from n at a time is given by :-

C(n,r)=\dfrac{n!}{(n-r)!r!}

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506

Hence, the committee can be made in 142506 ways.

3 0
3 years ago
How do i write a two column proof for this??<br><br>Given: PG ≅ SG and PT ≅ ST . Prove: ∠GPT ≅ ∠GST
Nikolay [14]

Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)

Step-by-step explanation:

<u>Given</u>: PG ≅ SG and PT ≅ ST

<u>To Prove</u>: ∠GPT ≅ ∠GST

<u>Proof</u>:  PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

<u>SSS Congruency Axiom</u>:  If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Can someone help with explain how to do these, with formulas or techniques?
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