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3 years ago

31/8 into a mixed number

Mathematics

2 answers:

Svetlanka [38]3 years ago

5 0

The answer is 3 and 7/8.

BabaBlast [244]3 years ago

3 0

3 7/8 is the correct answer

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Two consecutive integers have a sum of 75. Find the integers.

Pie

Answer:

37 and 38

Step-by-step explanation:

let the consecutive integers be x-1 and x

If their sum is 75

x-1+x = 75

2x - 1 = 75

2x = 75+1

2x = 76

x = 76/2

x = 38

First integer = x - 1

First integer = 38-1 = 37

Second integer is 38

Hence the integers are 37 and 38

7 0

3 years ago

A bag contains different colored candies. There are 50 candies in the bag, 28 are red, 10 are blue, 8 are green and 4 are yellow

Mrrafil [7]

Answer:

$\displaystyle \frac{54}{5405}$ .

Step-by-step explanation:

How many unique combinations are possible in total?

This question takes 5 objects randomly out of a bag of 50 objects. The order in which these objects come out doesn't matter. Therefore, the number of unique choices possible will the sames as the combination

$\displaystyle \left(50\atop 5\right) = 2,118,760$ .

How many out of that 2,118,760 combinations will satisfy the request?

Number of ways to choose 2 red candies out a batch of 28:

$\displaystyle \left( 28\atop 2\right) = 378$ .

Number of ways to choose 3 green candies out of a batch of 8:

$\displaystyle \left(8\atop 3\right)=56$ .

However, choosing two red candies out of a batch of 28 red candies does not influence the number of ways of choosing three green candies out of a batch of 8 green candies. The number of ways of choosing 2 red candies and 3 green candies will be the product of the two numbers of ways of choosing

$\displaystyle \left( 28\atop 2\right) \cdot \left(8\atop 3\right) = 378\times 56 = 21,168$ .

The probability that the 5 candies chosen out of the 50 contain 2 red and 3 green will be:

$\displaystyle \frac{21,168}{2,118,760} = \frac{54}{5405}$ .

3 0

3 years ago

What is the volume, in cubic in, of a rectangular prism with a height of 8in, a width of 5in, and a length of 9in?

Maslowich

Answer:

360 in ^3

Step-by-step explanation:

The volume is given by

V = l*w*h

= 8 * 5 * 9

= 360 in ^3

3 0

3 years ago

X < 36 and x > -36<br>x < 36 or x>-36<br>x< 36 or x > 0<br>x < 36 and x > 0

hjlf

Answer:

D,x < 36 and x > 0, negative number cannot be in sq.root

3 0

3 years ago

Find the domain and range of the relation and determine whether it is a function.

Sergio [31]

A is the correct answer. A function is defined where every input, x, has only one output. The coordinates are on the graph are (-4,-1), (-1,4), (1,1), and (4,1). As you can see, there is only one output for every input. X is the domain and y is the range.

3 0

2 years ago

Read 2 more answers