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ratelena [41]
3 years ago
15

Evaluate

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0

Step-by-step explanation:

Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,

\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}

Addition and subtraction requires that we find a common demoninator.

For example,

\frac{6}{4} + \frac{4}{3}

The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.

\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}

Then we add the numerators

\frac{18+16}{12} = \frac{32}{12}

Then we should reduce.

\frac{16}{6} = \frac{8}{3}

Division is a little trickier because we have to flip-flop the second term and then multiply. For example: \frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}

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And this one too please and thank u.
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Answer:

( - 4 \\  - 3

Step-by-step explanation:

4unity to the left

3unity down

8 0
3 years ago
Quick!! I need help with this question!
d1i1m1o1n [39]

1. 60 / 1/8 * 3/4

2. 3/4 * 15

3. 7/8 / 3/4

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3 years ago
Find the length of the altitude to the hypotenuse. Round the answer to the nearest tenth, if needed.
SVEN [57.7K]
To solve this, it might be easier to draw it out (see the picture below). I split it into two triangles and used trig functions to find the altitude. I used the big triangle to find theta, and the used theta to find the side of the altitude. *remember that sine= opposite/hypotenuse*

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3 years ago
Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes:
swat32

Answer:

<em>0.615</em>

Step-by-step explanation:

The frequency table is attached below.

We have to calculate, the probability that the student preferred morning classes given he or she is a junior.

i.e P(\text{Morning }|\text{ Junior})

We know that,

P(A\ |\ B)=\dfrac{P(A\ \cap\ B)}{P(B)}

So,

P(\text{Morning }|\text{ Junior})=\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}

Putting the values from the table,

\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}=\dfrac{\frac{16}{143}}{\frac{26}{143}}=\dfrac{16}{26}=0.615

3 0
3 years ago
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 se
Dominik [7]

Answer: the price of a senior citizen's ticket is $8.

the price of a child's ticket is $14

Step-by-step explanation:

Let x represent the price of a senior citizen's ticket.

Let y represent the price of a child's ticket.

On the first day of ticket sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. It means that

3x + y = 38- - - - - - - - - - - -1

The school took in $52 on the second day by selling 3 senior citizen and 2 child tickets. It means that

3x + 2y = 52- - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- y = - 14

y = 14

Substituting y = 14 into equation 1, it becomes

3x + 14 = 38

3x = 38 - 14 = 24

x = 24/3

x = 8

6 0
3 years ago
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