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3 years ago

What is the product? Enter your answer as a fraction, in simplified form, in the box. −4/5⋅10/16

2 answers:

Pie3 years ago

7 0

-40/80 = -1/2
since when you’re multiplying fraction, you multiply the top by the top number and bottom by the bottom number. So -4 • 10 is -40 and 5 • 16 is 80. -40/80, simplified is -1/2.

Travka [436]3 years ago

5 0

Answer:

-1/2

Step-by-step explanation:

-4 x 10= -40

-5 x 16= -80

-40 is half of -80, so the fraction would be -1/2

Hope this helps! <3

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Here is a venn diagram:

wel

Answer:

a) (i) A∪B are 8, 9, 14, 15, 16, 17

(ii) A ∩ B are 14 and 17

b) The probability that a number chosen at random is in the set A' is 0.7

Step-by-step explanation:

a) (i) The numbers that are in the set A∪B are given as follows;

A∪B = {x: x ∈ A or x ∈ B}

A∪B is the set of all elements "x" such that "x" is a member of A or B

Therefore, A∪B = (8, 9, 14, 15, 16, 17)

(ii) A intersection B, written as , A∩B), is the set of elements belonging to both set A and set B

A∩B = {x: x ∈ A and x ∈ B}

Therefore;

A ∩ B = 14 and 17

b) The set A' which is the complement of A are the elements in the universe which are not in A

The number of elements in the Venn diagram = 10 (numbers)

The number of elements in the set A' = 7

The probability that a number chosen at random is in the set A', P(A') is given as follows;

P(A') = (The number of elements in the set A')/(The number of elements in the Venn diagram)

∴ P(A') = 7/10 = 0.7

7 0

3 years ago

Read 2 more answers

-0.75-(-2/5)+0.4+(-3/4)

RSB [31]

-0.75-(-2/5)+0.4+(-3/4) = -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

-3.75 + 2/5 + 0.4 - 3/4

9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

-0.35 + 0.4 - 3/4

11 - Then add -0.35 and 0.4.

0.05 - 3/4

12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.

0.05/1 * 4/4 - 3/4

13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

0.05 * 4/4 - 3/4

14 - We combine the numerators over the common denominator.

0.05 * 4 - 3 / 4

15 - We simplify.

-2.8 / 4

16 - Then we divide -2.8 / 4

The final answer is -0.7

6 0

3 years ago

Andre45 [30]

It is the 2nd one if im not right then idk

3 0

3 years ago

Read 2 more answers

6. Which equation, in point-slope form, passes through (–2, 4) and has a slope of 3?

liubo4ka [24]

96 product
Gdnndhfgehenej

4 0

3 years ago

Decompose the figure into regions that are closest to each

Korolek [52]

The image is decomposed as follows: H1 and H2. Where original graph is Hx.

<h3>Are the images (attached) valid decompositions of the original graph?</h3>

Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
H1 ∪ H2 = Hx
They have no edges in common.

Hence, {H1 , H2} are valid decomposition of G.

<h3>What is a Graph Decomposition?</h3>

A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx

See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.

Learn more about decomposition:
brainly.com/question/27883280
#SPJ1

7 0

1 year ago