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katovenus [111]
3 years ago
15

How many 1/8 teaspoons are equal to 4 3/4 teaspoons?

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

1. Convert fraction into same decimal.

To find this answer, we want to first convert the fraction so that the denominators are the same:

3/4 = ?/8

Divide the original denominator by the needed-to-be denominator.

8 / 4 = 2

Do reversal calculations

4 x 2 = 8

So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.

3           6

_  x 2 = _

4           8

So now, the new equation is:

How many 1/8 teaspoons are equal to 4 6/8 teaspoons.

(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.

2. Convert the whole numbers into a fraction to make it easier.

In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.

?/8

Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.

8/8 = 1

Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.

32/8 = 4

3. Add all your information together.

DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.

32 / 8 + 6 / 8 = ?

32 / 8 + 6 / 8 = 38 / 8

Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.

Now, all you need to do is look at the numeriator.

What number do you see?

You see 38.

The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.

So, how many 1/8 are in 38/8?

38!

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Answer:  a) \dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}

Step-by-step explanation:

Since we have given that

Number of red marbles = 3

Number of yellow marbles = 4

Number of green marbles = 6

Total number of marbles = 3 +4 +6 = 13

​a) the marble is​ red? ​

Probability of getting a red marble = \dfrac{3}{13}

b) the marble is not​ yellow?

Probability of not getting yellow = \dfrac{3+6}{13}=\dfrac{9}{13}

​c) the marble is either red or ​green?

Probability of getting either red or green = P(red) + P(green) =\dfrac{3}{13}+\dfrac{6}{13}=\dfrac{9}{13}

d) the marble is neither red nor ​green?

Probability of getting neither red nor green = P(getting yellow) = \dfrac{4}{13}

Hence, a) \dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}

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2 years ago
The Burns family went to breakfast at the huddle house. Mr. Burns ordered a meal for $7.75, Mrs. Burns ordered a meal for $ 9.50
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Answer:

The bill excluding tax is $31.21 and the 20% tip was $6.24.

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The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

5 0
2 years ago
14x^2 + 37x + 5....Richard is designing a new website for students to create study groups and collaborate with other students.
Furkat [3]
Answers:
1) The constant of the polynomial expression represents the:
number of group members when the site launches

2) The binomial (1+7x) is a factor of the polynomial expression and represents the:
number of members per group after x months

Solution:
1) The estimate for the total number of groups members (y) is given by the polynomial expression:
y=14x^2+37x+5
where x is the number of months since the site's launch.

When the site launchs:
x=0→y=14(0)^2+37(0)+5=14(0)+0+5=0+0+5→y=5
The number of group members when the site launches is 5
And the problem says: "The site will launch with five study groups"

2) The site will launch with five study groups, each with its creator as its only member, then the number of members per group is 1.
Richard estimates that seven new members will be added to each study group every month (x), then:
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6 0
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Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y m
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Answer:

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Step-by-step explanation:

If Maya rakes the leaves in x minutes, then, in one minute she rakes \frac{1}{x} leaves.

In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes \frac{1}{y} leaves.

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Now, to simplify this expression:

\frac{1}{x}+ \frac{1}{y}  =\frac{y+x}{xy}

Thus, in one minute they rake \frac{y+x}{xy} leaves.

8 0
2 years ago
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