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2 years ago

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

Mathematics

2 answers:

igor_vitrenko [27]2 years ago

7 0

Answer:

$\frac{321}{100}$ .

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.

$\frac{321}{100}$ .

So, this is the $\frac{a}{b}$ .

a = 321 , b =100

Therefore, $\frac{321}{100}$ .

adoni [48]2 years ago

4 0

The answer is 3 21/100.

Hopes it Helps :]

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Write the following word phase as a mathematical equation. The sum of 7 and twice a number, squared.

agasfer [191]

Answer:

$(7+(2n))^2$

You don't technically need the ( ) around the 2n, but I included them to avoid confusion.

4 0

2 years ago

the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr

fiasKO [112]

Answer:

The pressure is $20\ psi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

$V*P=k$

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For $V=100\ in^{3}$ , $P=25\ psi$

step 1

Find the value of k

substitute the values of V and P

$100*25=k$

$k=2,500$

The equation is equal to $V*P=2,500$

step 2

Find the pressure when the volume is 125 cubic inches

For $V=125\ in^{3}$

substitute in the equation and solve for P

$125*P=2,500$

$P=2,500/125=20\ psi$

8 0

3 years ago

A retailer purchased soccer cleats for $18 from a wholesaler.The retalier sells the cleats for $32.What is the markup rate?Round

Tamiku [17]

Answer:

0.7bar

Step-by-step explanation:

(32-18)/18

=14/18

=7/9

=0.7bar

4 0

2 years ago

Read 2 more answers

Solve the following systems of equations 2a+4b+c=5 ; a-4b=-6 ; 2b+c=7.

SOVA2 [1]

Answer:

a = -2

b = 1

c = 5

Step-by-step explanation:

Given:

2a + 4b + c = 5 ............(1)

a - 4b = - 6

a = 4b - 6 .............(2)

2b + c = 7

c = 7 - 2b ...........(3)

substituting 2 and 3 in 1, we get

2(4b - 6 ) + 4b + (7 - 2b) = 5

8b - 12 + 4b + 7 - 2b = 5

10b - 5 = 5

b = 1

substituting b in 2, we get

a = 4(1) - 6

a = -2

substituting b in 3, we get

c = 7 - 2(1)

c = 5

thus,

a = -2

b = 1

c = 5

8 0

2 years ago

At a family reunion, a family friend brings 20 pounds of ice and 30 cups. Which expression shows the greatest common factor, usi

Eddi Din [679]

The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)

Pounds of ice = 20

Number of cups = 30

The relation for the distributive property :

a × (b + c)

Expand ;

a × (b + c) = (a × b) + (a × c) = ab + ac

Finding the greatest common factor of 20 and 30 ;

20 = 2 × 10

30 = 3 × 10

(2 × 10) + (3 × 10)

According to the distributive property

(2 × 10) + (3 × 10) = 10(2 + 3)

Therefore, the expression for the greatest common factor is 10(2 + 3)

Learn more :brainly.com/question/15263211

6 0

2 years ago