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3 years ago

Perform the indicated operation. 6 1/3 + 8 3/4

Mathematics

1 answer:

belka [17]3 years ago

6 0

Answer:

15 1/12

Step-by-step explanation:

First step, add the whole numbers ie 6+8=14

Second, add fractions, 1/3+3/4

The lcm of denominators is 12 hence (4+9)/12=13/12=1 1/12

14+1 1/12=15 1/12

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Is this true or false?

Alexeev081 [22]

Answer:

True

Step-by-step explanation:

I'm assuming the start and end of the beetles is the rectangular box. If so, the beetle goes from 7-13 which is only 6mm. So therefore, it would be in normal range!

8 0

1 year ago

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial off

Zolol [24]

Answer:

(a) There are 32,760 different ways to appoint the officers.

(b) 3003 different ways can the committee be appointed.

(c) Probability of getting the five youngest of the qualified candidates is 0.00033.

Step-by-step explanation:

We are given that a corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with five different members.

There are 15 qualified candidates, and officers can also serve on the committee.

(a) The number of officers are 4, i.e; A president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO).

There are 15 qualified candidates.

To find the number of ways to appoint the officers, we will use permutation because here the order of selecting the officer's matters.

So, the number of ways to appoint the officers = $^{15}\text{P}_4$

= $\frac{15!}{(15-4)!}$ { $\because ^{n}\text{P}_r = \frac{n!}{(n-r)!}$ }

= $\frac{15!}{11!}$ = 32,760 ways

(b) The number of committee numbers to appoint include five members.

There are 15 qualified candidates.

To find the number of ways in which the committee can be appointed, we will use combination because here the order of selecting the members doesn't matter.

So, the number of ways to appoint the committee = $^{15}\text{C}_5$

= $\frac{15!}{5! \times (15-5)!}$ { $\because ^{n}\text{C}_r = \frac{n!}{r! \times (n-r)!}$ }

= $\frac{15!}{5! \times 10!}$ = 3003 ways

(c) The probability of randomly selecting the committee members and getting the five youngest of the qualified candidates is given by;

Number of ways of selecting the committee = 3003

Selecting the five youngest of the qualified candidates = 1

So, the required probability = $\frac{1}{3003}$

= <u>0.00033</u>

4 0

3 years ago

-)) t multiplied by 52 is the same as 349

yawa3891 [41]

Hey there,

The word problem is as follows:

t multiplied by 52 is the same as 349

In numbers this would mean t x 52 = 349. Now to solve for t we would do the opposite of multiplication which is is division.

So...

349 ÷ 52 = t and t = 6 $\frac{37}{349}$

The answer would be t is equal to 6 and $\frac{37}{349}$ or 6.712

Hope I helped,

Amna

5 0

2 years ago

Find the value of x (photo included)

Len [333]

Answer:

c) 30 in.

Step-by-step explanation:

36:12

x:10

x=30

3 0

2 years ago

Read 2 more answers

2. About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make on

geniusboy [140]

Answer:

Step-by-step explanation:

About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?

Given that:

Approximate Number of cans that can be recycled per month in the US = 40 million

Fraction of recycled cans that can be used to make an aluminum boat = 1/4

The number of aluminum boats that can be made in the US in one year :

If about 40 million cans are recycle per month :

The number of boat that can be made from each monthly recycled aluminum cans will be :

Number of monthly recycled can needed to make one boat:

1/4 * 40 million = 10 million cans

Hence, 40,000,000 / 10,000,000 = 4

4 aluminum boats can be made in one month :

Number of months in a year = 12

Number of aluminum boats that can be made in a year :

4 per month * 12 = 48 aluminum boats

5 0

2 years ago