Explain how to write the rational number 3.21 in the form a/b

Answers

Answer 1
Answer:

Answer:

(321)/(100).

Step-by-step explanation:

Given  : 3.21

To find : Explain how to write the rational number.

Solution : We have given  3.21

We can remove the decimal.

We can see there are two numbers after decimal so, we write the 100 in denominator.

(321)/(100).

So, this is the (a)/(b).

a = 321 , b =100

Therefore, (321)/(100).

Answer 2
Answer: The answer is 3 21/100.

Hopes it Helps :]

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Simplify The following equations(This is algebra, so PLEASE, only answer if you KNOW FOR SURE, thank you)

3a+7b+2c-a-4b

-8a-b-(-6c)-2a-b-5c

b-4c+3a-c-9b-4a

Answers

mostly collect like terms
use associative property which is
(a+b)+c=a+(b+c)
also -a+b-c=(-a)+(b)+(-c) so you can move them around
and remember that:
you just use a general rule
x+x=2x
x^2+x^2=2x^2
3xy4xy=7xy
3x+4x^2=3x+4x^2
youcan only add like terms( like terms are terms that are same name like xor y are differnt, and like terms have same power exg x^2 and x^3 andx^1/2 and such

I will oly put the naswers because I don't have much time

first one: 2a+3b+2c

second one: remember that -(-6c)=+6c so the answer is c-10a-2b

third one: -a-8b-5c

A punch recipe calls for orange juice and pop in the ratio of 2:5 the recipe requires 1L of Pop to serve 7 people a) how much orange juice is needed for 7 people?
b)about how much orange juice and pop do you need to serve 15 people? 20 people?
plz say how you answered this

Answers

O : P => 2 : 5

(a)    1 liter of pop to serve 7 people

=>           5 units = 1

               1 unit = 1 / 5

Orange juice => 2 units

Hence, Orange juice needed is 2 * 1 / 5 = 0.4 liters

 

(b)    If 1 liter of pop is needed to serve 7 people, then we will need (1 / 7) * 15 for 15 people

i.e. 2.14 liters

 

As the ratio of O : P = 2 : 5,

               5 units = 2.14

               1 units = 2.14 / 5

 

For Orange juice, we will need 2 * 2.14 / 5 = 0.856 liters for 15 people

Which property justifies this r(s + t) = rs + rt
statement

Answers

r(s+t) = rs + rt represents Distributive Property because r is multiplying s and t
i.e. ( r*s + r*t ) 
    = rs + rt

So correct answer is Distributive Property.

hope this helps  :)

Find the value of x in the equation

Answers

Answer: 10.5 (equivalent to the fraction 21/2)

To get this answer, you set 10x-15 equal to 90 and solve for x. The reason why these two angles are equal is because they are vertical angles.

10x-15 = 90

10x-15+15 = 90+15 ...... add 15 to both sides

10x = 105

10x/10 = 105/10 ...... divide both sides by 10

x = 105/10

x = 21/2 is the answer in fraction form

x = 10.5 is the answer in decimal form

You'll use what the vertical angles theorem tells you to solve this.

The vertical angles theorem says that vertical angles are congruent, which is what the angle with (10x-15) and the opposite angle (90) are.

Since they are vertical angles, they are congruent so you can set up an equation where they are equal and solve for x.

(10x-15) = 90

1. Get rid of the parentheses.

10x-15 = 90

2. Add 15 to both sides.

10x = 105

3. Divide both sides by 10.

x = 10.5

Answer is:

x = 10.5

Turn 8/200
into a decimal using an equivalent fraction show your steps

Answers

First I'd reduce it to 4/100 because every fraction is easier to make a decimal over 100. Now write the four and for every extra 0 add a 0 between the decimal and the number. the answer is 0.04 but also remember when using this trick. If the number over 100 has a decimal you have to keep those ones too
8/200
= (8/2) / (200/2)
= 4/100 (equivalent fraction)
= 0.04

The final answer is 0.04~

Find the measurement of the third angle of a triangle with two angles measuring 30° and 70°.

Answers

The third angle is 80 degrees