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4 years ago

Write 0.31 Repeating as a fraction in simplest form.

Mathematics

1 answer:

KengaRu [80]4 years ago

8 0

Answer:

The answer is 31/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 numbers to the right of the decimal point, place the decimal number over 10 2 ( 100 ) . Next, add the whole number to the left of the decimal.

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5. Hailey would like to make a 5 lb coffee mixture that is 60% Sumatra coffee bean blend. She has several pounds of a mixture th

Genrish500 [490]

A] Given that the number of the unknowns are two, that is, x which represents the amount of the 20% blend and y which represents the amount of 80% blend, the system that models this situation is simultaneous equation.

b] The solution to the equation will be as follows;
Total amount of coffee to be made is:
x+y=5.........i
The percentage amount will be:
0.2x+0.8y=0.6*5
0.2x+0.8y=3.......ii
from eqn i
y=5-x.......iii
substituting iii in ii we get
0.2x+0.8(5-x)=3
0.2x+4-0.8x=3
solving for x we get:
0.2x-0.8x=3-4
-0.6x=-1
thus
x=1/0.6
x=5/3
y=5-x
y=5-5/3=10/3
thus the amount of x mixed is 5/3 lb and that of y is 10/3 lb

3 0

3 years ago

Read 2 more answers

Question 6 (5 points)

AnnyKZ [126]

The amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.

<h3>What is cos function?</h3>

It is defined as the function which is in the form of cosine waves in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.

We have a cos function:

y = 3/2 cos(3x) + 1

We know,

f(x) = acos(bx - c) + d

The above function represents the cos function where:

a = amplitude

b = is the period of the function

c = phase shift

d = vertical shift

On comparing we get:

a = 3/2

Thus, the amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.

Learn more about the cos function here:

brainly.com/question/14397255

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4 0

2 years ago

Mark is driving at a speed of 72 mph. How many hours does it take him to drive 468 miles? Express your answer as a number to the

Nutka1998 [239]

Answer:

It would take him 6.5 hours, but rounded it would take 7 hours I think.

Step-by-step explanation:

5 0

2 years ago

Need help with this question it’s my first time on here !

fredd [130]

Answer:

We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where 'k' is termed as the 'constant of variation'.

Given that a wedding reception seats 8 people at each table.

Given that the relationship between the number of people 'p' and the number of tables 't'.

p = 8t

CHECKING OPTION A

substitute t = 22 in the given equation

p = 8 × 22 = 176 people

It means to host 176 people, 22 tables will be needed.

Hence, OPTION A is INCORRECT!

CHECKING OPTION B

substitute t = 8 in the given equation

p = 8 × 8 = 64 people

It means to host 64 people, 8 tables will be needed.

Hence, OPTION B is INCORRECT!

CHECKING OPTION C

substitute t = 13 in the given equation

p = 8 × 13 = 104 people

It means to host 104 people, 13 tables will be needed.

Hence, <em><u>OPTION C is CORRECT!</u></em>

CHECKING OPTION D

substitute t = 6 in the given equation

p = 8 × 6 = 48 people

It means to host 48 people, 6 tables will be needed.

Hence, OPTION C is INCORRECT!

Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

6 0

3 years ago

Please help me asap!!

Alex73 [517]

Answer:

Step-by-step explanation:

If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3

5 0

3 years ago

Read 2 more answers

Write 0.31 Repeating￼ as a fraction in simplest form.

Write 0.31 Repeating as a fraction in simplest form.