Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it

Answers

Answer 1

Answer:

To rename mixed numbers it need to be keep in mind that the equal forms of the fraction or the whole number. The given mixed number is renamed as three and half after the subtraction, because the value of the mixed number is changed after the subtraction.

Given information-

Mixed number given in the problem is,

$4(1)/(4)$

This mixed number can be named as four and one fourth.

What is mixed number?

Mixed numbers are the combination of the whole number and the fraction number. When the whole number and the part of the whole number is written combined, it is called the mixed number.

Subtracting mixed numbers by renaming-

To rename mixed numbers it need to be keep in mind that the equal forms of the fraction or the whole number.

Now to subtract the given mixed number from the given fraction number change it in the form of fraction form,

$4(1)/(4) -(3)/(4) =(17)/(4) -(3)/(4)\n$

Subtract as the denominator is same,

$4(1)/(4) -(3)/(4) =(17-3)/(4)\n4(1)/(4) -(3)/(4) =(14)/(4)$

The result 14/4 can be renamed in the mixed form as,

$(14)/(4)=3(1)/(2)$

Hence the given mixed number is renamed as three and half after the subtraction, because the value of the mixed number is changed after the subtraction.

Learn more about the mixed number here;

brainly.com/question/2639375?

Answer 2

Answer: You would rename four and one fourth when subtracted from three fourths because when you subtract the fractions you get a different fraction for your answer.
$4 (1)/(4)- (3)/(4)= 3 (1)/(2)$
so you would said three and one half instead of four and one fourth.
Hope I helped!

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A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail? Answer in % form.If someone could show me the steps I would really appreciate it! Thanks!!!

Answers

Probability that gear 1 will fail = 5/100 (upto 10 years)
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

Answer:

0.4%.

Step-by-step explanation:

If the gears on the machine are not linked to each other, the probability that both replacement gears will fail is 0.4%.

Which of the following represents the graph of f(x) = 2(x-3)?

Answers

Answer:

i can't do Graphs well but i am sure this will help

graph of the function f(x) = 2(x-3)f(x)=2(x−3) would generally look like:

The function f(x) = 2(x-3)f(x)=2(x−3) is a linear function in the form of y = mx + by=mx+b, where mm is the slope and bb is the y-intercept.

In this case, the slope mm is 2, which means that for every 1 unit increase in xx, yy will increase by 2 units. The fact that the slope is positive indicates that the graph will slant upwards from left to right.

The term (x-3)(x−3) represents a horizontal shift of the graph. When x = 3x=3, f(x) = 0f(x)=0, which means the graph crosses the y-axis at the point (3, 0).

Putting it all together, you can draw a line that passes through the point (3, 0) and slopes upward at an angle of approximately 45 degrees. The line will get steeper as it moves to the right. This graph represents the linear function f(x) = 2(x-3)f(x)=2(x−3).

Remember, you can use graphing tools or calculators to visualize and draw this function accurately.

Corrext classification of 18x

Answers

from previous quesiotn I am assuming whatnomial

1 term, 18x
monomial

Put these in order size, the smallest first
0.9, 75%, 4/5

Answers

smallest to largest:

4/5, 0.9, 75%

hope I helped... :D

4/5, 0.9, 75%. This is from smallest to largest.

Carmen rolls a cube with sides labeled A, B, C, D, E, and F.What is the number of possible outcomes?

Answers

The cube may come to rest with any one of its sides upright. So there are six (6) possible outcomes of a single roll. Technically, there is also some finite probability that the cube will come to rest standing on one of its edges, or on one corner. These probabilities are so small that these additional possible outcomes are almost always ignored, and not counted.

there are six outcomes. so , you would put 1 over 6 for all of them and add them together, which results in 6 possibilities.

The minimum monthly payment for Anita's credit card is 2% of her balance or $10, whichever is greater. If Anita's balance at the end of her last billing cycle was $360, what is her minimum monthly payment?A. $17.20

B. $2.80

C. $10.00

D. $7.20

Answers

Answer:

C. $10.00

Step-by-step explanation:

She has to pay which ever is greater.

To get whichever is greater you need to check what 2% of her last billing cycle. That would be done by multiplying .02 and 360. That equals $7.20.

10>7.20 and therefore the answer would be 10 dollars aka C.

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