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4 years ago

What is a fraction that is equivalent to 0.997

Mathematics

2 answers:

Stels [109]4 years ago

5 0

997/1000 hope this helps

Paul [167]4 years ago

3 0

.997 = $\frac{997}{1000}$
It can't be simplified any more than that so that is your final answer.

Hope that helps.

Read more about variables at:

brainly.com/question/15246027

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3 0

2 years ago

How can you convert pounds to kilograms?

Likurg_2 [28]

One kilogram is equal to 2.20 pounds

7 0

4 years ago

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42 yd 40 yd What is the length of the hypotenuse? C= yards HELP

Iteru [2.4K]

Answer:

58 yards

Step-by-step explanation:

The Pythagorean Theorem states that:

$a^{2} +b^{2} =c^{2}$

Where c is the hypotenuse, and a and b are the two legs of the right triangle. Substituting in 40 and 42 for a and b, respectively:

$40^{2} +42^{2} =c^{2}$

Now, we isolate c:

$c= \sqrt{40^{2} +42^{2} }$

Therefore, c is equal to 58, so the hypotenuse is 58 yards

Hope this helps!

8 0

3 years ago

What is the mode of this data set? {8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6}

maks197457 [2]

Mode is the number that appears most in a set of numbers. Every number appears once besides 15 which appears twice so 15 would be the mode.

7 0

3 years ago

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Which products result in a difference of squares? Select three options. (x minus y)(y minus x) (6 minus y)(6 minus y) (3 + x z)(

ValentinkaMS [17]

Answer:

Third option: $(3 + xz)(-3 + xz)$

Fourth option: $(y^2 - xy)(y^2 + xy)$

Sixth option: $(64y^2 + x^2)(-x^2 + 64y^2)$

Step-by-step explanation:

By definition, we can factor the Difference between two squares:

$a^2 - b^2 = (a+b)(a-b)$

In order to find which products results in a difference of squares, we need to check each option:

$1.\ (x - y)(y - x)=(x)(y)+(x)(-x)-(y)(y)+(-y)(-x)=xy-x^2-y^2+xy=-x^2-y^2+2xy$

The product does not result in a difference of squares.

$2.\ (6 - y)(6 - y)$

Since the signs are equal ( $-$ ), the product will not result in a difference of squares.

Using Distributive Property for the other options, we get:

$3.\ (3 + xz)(-3 + xz)=(3)(-3)+(3)(xz)+(xz)(-3)+(xz)(xz)=\\\\=-9+3xz-3xz+x^2z^2=x^2z^2-9=(xz)^2-(3)^2$

The product results in a difference of squares.

$4.\ (y^2 - xy)(y^2 + xy)=(y^2)(y^2)+(y^2)(xy)-(xy)(y^2)-(xy)(xy)=\\\\=y^4+xy^3-xy^3-x^2y^2=y^4-x^2y^2=(y^2)^2-(xy)^2$

The product results in a difference of squares.

$5.\ (25x - 7y)(-7y + 25x)=(25x - 7y)(25x - 7y)$

Since the signs are equal ( $-$ ), the product will not result in a difference of squares.

$6.\ (64y^2 + x^2)(-x^2 + 64y^2)=(64y^2 + x^2)(64y^2 - x^2)=\\\\=(64y^2)(-x^2)+(64y^2)(64y^2)+(x^2)(-x^2)+(x^2)(64y^2)=\\\\=-64y^2x^2+4096y^4-x^4+64y^2x^2=\\\\=4096y^4-x^4=(64y^2)^2-(x^2)^2$

The product results in a difference of squares.

5 0

3 years ago

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