Write the expanded form 0.45 in this way using fractions and using decimals

Answers

Answer 1
Answer:

Using fractions, 0.45 can be written as (3)/(10)+ (3)/(20). Using decimals, 0.45 can be written in the form as 0.30 + 0.15.

What is Decimal Numbers?

Decimal number system is applicable for both integers as well as non integers. Decimal number include a whole number part and a decimal part separated using decimal point.

Fractions are the numbers which are part of a whole.

All decimal numbers can be written as fractions and fractions can be written in the form of decimal numbers.

The given number is 0.45.

0.45 can be written as (45)/(100).

(45)/(100) can be expanded in various ways like (40 + 5)/100, (42 + 3)/100 and so on.

(45)/(100) can be written in one of the form as (30)/(100) + (15)/(100).

When simplified, (30)/(100)simplified to (3)/(10)and (15)/(100) simplified to (3)/(20).

So 0.45 = (3)/(10)+ (3)/(20).

Now, in the decimal form, (3)/(10)= 0.3 and (3)/(20)= 0.15

So, 0.45 = 0.3 + 0.15

Hence 0.45 can be expanded in the fractional form as  (3)/(10)+ (3)/(20)and in the decimal form as 0.3 + 0.15.

To learn more about Decimals, click :

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Answer 2
Answer:

Answer:

0.4 + 0.05= 0.45

FRACTION FORM:

4/10+ 5/100= 0.45

Step-by-step explanation:

Hope this helps!! Tell me if I'm wrong! :)


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In a study of 788 randomly selected medical malpractice​ lawsuits, it was found that 494 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.Which of the following is the hypothesis test to be conducted?A.Upper H 0 : p less than 0.5Upper H 1 : p equals 0.5B.Upper H 0 : p greater than 0.5Upper H 1 : p equals 0.5C.Upper H 0 : p equals 0.5Upper H 1 : p not equals 0.5D.Upper H 0 : p equals 0.5Upper H 1 : p less than 0.5E.Upper H 0 : p not equals 0.5Upper H 1 : p equals 0.5F.Upper H 0 : p equals 0.5Upper H 1 : p greater than 0.5What is the test statistic?Z =(Round to two decimal places as needed.)What is the conclusion about the null hypothesis?A. Reject the null hypothesis because the P-value is greater than the significance level, alpha.B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.C. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.D. Reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.What is the final conclusion?A.There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.B.There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.C.There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.D.There is not sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

Factor completely: 4d^3+3d^2-14d

Answers

I got d(4d2+3d−14) hope it help

The center of the circle is located (3'8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle

Answers

9514 1404 393

Answer:

  x² +y² -6x -16y +48 = 0

Step-by-step explanation:

Given:

  • circle center: (3, 8)
  • circle radius: 5

Find:

  general form equation for the circle

Solution;

The standard form equation for the circle is ...

  (x -h)² +(y -k)² = r² . . . . . circle with radius r centered at (h, k)

  (x -3)² +(y -8)² = 5²

Subtracting 25 and expanding this will give the general form.

  x² -6x +9 +y² -16y +64 -25 = 0

  x² +y² -6x -16y +48 = 0

_____

Additional comment

"General form" of an equation is usually the form f(x,y) = 0, where f(x, y) is written in "standard form," with terms in lexicographical order and decreasing degree.

A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?

Answers

Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

Final answer:

The car would have traveled 528 miles in 4 hours with the increased speed of 12 mph.

Explanation:

To calculate the distance the car would have traveled in 4 hours with a speed that is 12 mph faster, we need to find the original speed of the car. We can use the formula speed = distance/time, where the speed is the original speed of the car, the distance is the distance the car traveled in 4 hours (480 miles), and the time is 4 hours. Rearranging the formula, we have distance = speed x time. So, the distance the car would have traveled with the increased speed in 4 hours is 480 miles + 12 mph x 4 hours.

Using the formula, we can calculate the distance:
distance = (480 miles) + (12 mph x 4 hours) = 480 miles + 48 miles = 528 miles.

Therefore, if the car's speed was 12 mph faster, it would have traveled a distance of 528 miles in 4 hours.

Learn more about calculating distance with increased speed here:

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What is the 100th term in the pattern with the formula n+7

Answers

To find it, put 100 where n is in the formula and evaluate
.. n + 7
for n = 100
.. 100 +7
.. = 107

The 100th term is 107.

Mr. Kazadi said that in his 2nd-period class, 23 out of 25 students passed the test. What percent of the students passed the test?%

Answers

The answer 92% of students passed the test.

\text{Hello there!}

To find a percentage, you will need to divide both numbers by each other. In this case, it would look similar to this:

\text{23 / 25 = ???}

Once you divide the two numbers, you should end up with a result of 0.92

Now, we are going to move the decimal two spaces to the right to end up with the result:

\text{092.}

Now, we are going to remove the 0 as it is no longer required. Next, add a percentage symbol to the last number, and remove the decimal from the number.

Now, you should end up with something like this:

92\%

\fbox{So your final answer is going to be 92\%}

\rule{299}{1.5}

HELLPP Determine the constant of proportionality in the situation below.Five bags of candy cost $15.75

Answers

Answer:

3.15

Step-by-step explanation:

15.75 divided by 5 gets you 3.15