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Slav-nsk [51]
3 years ago
11

The average weight of a newborn panda is 0.2, or 2/10 pound. Between what two integers is the weight of a newborn panda?​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

\frac{2}{10} lies between 0 and 1.

Step-by-step explanation:

We must have in mind that given average weight of a newborn panda is a non-integer rational number, such that lies between two integer rational number. In other words, this number must satisfy the following condition:

n < \frac{a}{b} < n +1, n, a, b \in \mathbb{N}_{O}

\mathbb{N}_{O} = \mathbb{N}\,\cup\,{\{0\}}

Which is now developed mathematically to deduce a useful expression to find integers:

1) n < \frac{a}{b} < n +1 Given

2) n \cdot 1 < \frac{a}{b} < n\cdot 1 + 1 Modulative property

3) n \cdot (b\cdot b^{-1}) < a\cdot b^{-1} < n \cdot (b\cdot b^{-1}) + b\cdot b^{-1} Existence of Multiplicative inverse/Definition of division.

4) (n\cdot b)\cdot b^{-1} < a\cdot b^{-1}< [(n+1)\cdot b] \cdot b^{-1} Commutative, Associative and Distributive properties.

5) n\cdot b < a < (n+1)\cdot b Compatibility with Multiplication/Existence of Multiplicative Inverse/Modulative Property/Result.

If we know that a = 2 and b = 10, the following inequation is formed:

10\cdot n < 2 < 10\cdot (n+1)

It is quite evident to conclude that \frac{2}{10} lies between 0 and 1.

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2 years ago
The midpoint of AB is M(-3, 0). If the coordinates of A are (1,-4), what are the coordinates of B?
zimovet [89]

Using the given information, the coordinates of B are (-7, 4)

<h3>Midpoint of a Line </h3>

From the question, we are to determine the coordinates of B.

Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is

((x₁+x₂)/2, (y₁+y₂)/2)

From the given information,

The midpoint of AB is M(-3, 0)

and

The coordinates of A are (1,-4)

Let the coordinates of B be (x₁, y₁)

Then,

-3 = (1 + x₁)/2

-6 = 1 + x₁

x₁ = -6 -1

x₁ = -7

Also,

0 = (-4 + y₁)/2

0 = -4 + y₁

y₁ = 0 + 4

y₁ = 4

Hence, the coordinates of B are (-7, 4)

Learn more on Midpoint of a line here: brainly.com/question/18315903

#SPJ1

7 0
1 year ago
(Will give brainliest) Is my answer correct?? If not please correct me
Yuki888 [10]

Hey!

-------------------------------------------------

Answer:

(-6, 2) and (-7, -1) and (0, 0)

-------------------------------------------------

Explanation:

You reflected the triangle. You needed to translate the triangle.

y + 6 is to move up 6 units along the y-axis.

x - 5 is to move left 5 units along the x-axis.

Another thing, the question doesn't state was transformation to use so we are going to assume we are translating.

-------------------------------------------------

Hope This Helped! Good Luck!

5 0
3 years ago
Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )
yanalaym [24]

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

6 0
2 years ago
EASY 6TH GRADE QUESTION MATH
Nataliya [291]

Answer: quarts

Step-by-step explanation: 4 cups = 1 quart

6 0
3 years ago
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