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pickupchik [31]
3 years ago
6

Addition of unlike fractions 5/3 + 7/4​

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
5 0

Answer:

3⁵/12

Step-by-step explanation:

5/3+7/4=?

Get the LCM of the denominator which is 12

5×4=20

7×3=21

The fractions are now 21/12+20/12=41/12

Simplify 41/12 to get

3 whole number and 5 over 12 as a fraction

Maru [420]3 years ago
4 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}}

Step-by-step explanation:

\star{ \sf{ \:  \:  \frac{5}{3}  +  \frac{7}{4}}}

Convert the given fractions into like fractions.

To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.

To find out the L.C.M of given numbers,

First of all, find the prime factors of each numbers.

3 = 3 × 1

4 = 2 × 2 × 1

Take out the common prime factor i.e 1

Also take out the other remaining prime factors i.e 2 , 2 and 3

Now, multiply those all prime factors and obtain L.C.M

= 1 × 2 × 2 × 3 = 12

L.C.M of 3 and 4 = 12

\dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}}

\dashrightarrow{ \sf{ \frac{20 + 21}{12}}}

Add the numbers : 20 and 21

\dashrightarrow{ \sf{ \frac{41}{12}}}

Convert the improper fraction into mixed fraction

\dashrightarrow{  \boxed{\sf{3 \frac{5}{12} }}}

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.

Hope I helped!

Best Regards!

~ TheAnimeGirl

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masya89 [10]

Answer:

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2 years ago
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Write in mx+b form: a line with a slope of -3 that passes through the points (15,-50)
gayaneshka [121]

Answer:

y=-3x-5

Step-by-step explanation:

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8 0
2 years ago
The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to
alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 1164, p = 0.038

So

\mu = E(X) = np = 1164*0.038 = 44.232

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is P(X \geq 47 - 0.5) = P(X \geq 46.5), which is 1 subtracted by the pvalue of Z when X = 46.5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{46.5 - 44.232}{6.5231}

Z = 0.35

Z = 0.35 has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0
2 years ago
2y = x + 3 5y = x - 7 What is the solution set of the given system?
prohojiy [21]
<span>2y = x + 3 then x = 2y - 3
5y = x - 7 then x = 5y + 7

so 
</span>2y - 3 = 5y + 7
2y - 5y = 7 + 3
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y = -10/3
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<span>2y = x + 3
</span>2 (-10/3) = x + 3
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-29/3 = x
-9 2/3 =x
or
x = -9 2/3

solutions: x = -9 2/3 and y = -3 1/3

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pav-90 [236]
I got -3.........................

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p = -3

7 0
2 years ago
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