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storchak [24]
3 years ago
7

will mark brainles if answered fast There are 72 items on Ginny bookshelf 1/3 of items are hardcover books. 4/9 of the items are

softcover books The many DVDs are on Ginny's shelf?
Mathematics
1 answer:
Feliz [49]3 years ago
3 0
I think it’s 16 because 1/3=3/9 of hardcover books
3/9+4/9=7/9
2/9 is DVDS
72/9=8
8x2=16
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I need explanations for Mathematical Proofs.
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Answer:

Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic.

According to Bleiler-Baxter & Pair [22], for a mathematician, a proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why a proof also has the role of explanation.

There are many different ways to go about proving something, we'll discuss 3 methods: direct proof, proof by contradiction, proof by induction. We'll talk about what each of these proofs are, when and how they're used. Before diving in, we'll need to explain some terminology.

Although I will focus on proofs in mathematical education per the topic of the question, first and foremost proofs are so hard because they involve taking a hypothesis and attempting to prove or disprove it by finding a counterexample. There are many such hypotheses that have (had) serious monetary rewards available.

In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference.

All mathematicians in the study considered proofs valuable for students because they offer students new methods, important concepts and exercise in logical reasoning needed in problem solving. The study shows that some mathematicians consider proving and problem solving almost as the same kind of activities.

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3 0
3 years ago
Rachel received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.61 per pound. After buying th
Olin [163]

Answer:

6

Step-by-step explanation:

80- 34.34 = 45.66

45.66 ÷ 7.61 = 6

5 0
2 years ago
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A ball has a radius of 8 cm. What is the volume of the ball? Use 3.14 for pie Round your answer to the nearest tenth of a cubic
AveGali [126]

The volume of the ball is 33.5 cubic centimeter.

<u>Step-by-step explanation:</u>

It is given that, a ball has a radius of 8 cm.

We know that, the ball is in shape of the sphere.

The question is asked to find the volume of the ball.

To find the volume of the ball, you need to use the formula for volume of the sphere.

Volume of the sphere = (4/3)πr³

where,

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Volume of the ball = (4/3)× 3.14× 8

⇒ 33.49

⇒ 33.5 (rounded to the nearest tenth)

⇒ 33.5 cubic centimeter.

∴ The volume of the ball is 33.5 cubic centimeter.

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2 years ago
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Answer:

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