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Gala2k [10]
3 years ago
6

6 1⁄3 + 7 1⁄4 – 2 1⁄2 =

Mathematics
1 answer:
Korvikt [17]3 years ago
6 0

Answer:

11 1/12

Step-by-step explanation:

6 1/3 = 19/3

7 1/4 = 29/4

2 1/2 = 5/2

19/3 + 29/4 - 5/2


We must find the LCM of 3, 4, and 2. This happens to be 12

3*4 = 12

4*3 = 12

2*6 = 12

Multiply each fraction by the factor that'll get it to 12.


19/3 * 4/4 = 76/12

29/4 * 3/3 = 87/12

5/2 * 6/6 = 30/12

Now go through the problem


76/12 + 87/12 - 30/12

76 + 87 = 163

163/12 - 30/12

163 - 30 = 133

133/12

Simplify

133/12 = 11.0833... or 11 1/12


Hope this helps.

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A card is selected randomly from a jar that contains 15 cards, numbered from 25 to 39. What is the probability that the card sel
VikaD [51]

Answer:

The probability that the card selected bears a number less than 34 is 0.3333.

Step-by-step explanation:

Let random variable <em>X</em> be defined as the number on the selected card.

There are <em>N</em> = 15 total cards.

The number on the cards are as follows:

S = {25, 26, 27,..., 38, 39}

The probability of an event, <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

In this case we need to compute the probability that the card selected bears a number less than 34.

The favorable outcomes are:

<em>s</em> = {25, 36, 37, 38, 39}

<em>n</em> (X < 34) = 5

Compute the probability that the card selected bears a number less than 34 as follows:

P(X

                  =\frac{5}{15}\\\\=\frac{1}{3}\\\\=0.3333

Thus, the probability that the card selected bears a number less than 34 is 0.3333.

7 0
3 years ago
The sail of a boat is in the shape of a right triangle, as shown below:
dolphi86 [110]
Answer: Choice C
7 divided by cosec 50 degrees

=====================================

Explanation:

Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)

-----------------

Let the horizontal leg be x

This leg is opposite the angle 50 degrees. The hypotenuse is 7

Opposite = x
Hypotenuse = 7

We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite

Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule

-----------

cosecant = hypotenuse/opposite
csc(angle) = hypotenuse/opposite
csc(50) = 7/x
x*csc(50) = 7
x = 7/csc(50)

This is why the answer is choice C

6 0
3 years ago
Read 2 more answers
Chord AC intersects chord BD at point P in circle Z.
Alik [6]

In this question, we have to use the intersecting chord theorem, and the formula which is

AP * CP = BP * DP

In the given circle, values of AP, CP and DP are 12m, 6m and 5m respectively .

Substituting the values in the formula, we will get

12*6 = 5BP

Dividing both sides by 5

BP = \frac{72}{5} = 14.4 m

4 0
3 years ago
Read 2 more answers
After a class party, Hugo had 3/5 of a bag of candy left
Ivahew [28]

Answer:

Each person will get 3/20 of the bag of candies

Step-by-step explanation:

3/5 divided by 4 = 3/5 * 1/4 = 3/20

Please mark as brainliest if the answer is correct!

Also, feel free to tell me if my answer is wrong, or you have more questions. :D

4 0
3 years ago
Kate has 2/3 yards of fabric to make small flags. Each flag requires 1/6 of fabric.
skelet666 [1.2K]

Answer: So Kate has 2/3 yard is fabric which is equal to 24 inches and if each flag requires 1/6 yards of fabric it would equal 12 inches. So all in all Kate can make 2 flags. Hope that helped.

Step-by-step explanation:

3 0
2 years ago
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