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jeka94
3 years ago
15

Solve the following multiplication and division problems.

Mathematics
1 answer:
algol133 years ago
5 0

Answer:

a. 22.5 km

b. 267.52 m

c. 95 m

d. (4.2)(10^{-5}) km

Step-by-step explanation:

a. You can convert from hectometers to kilometers, and then you can make the multiplication:

\frac{5hm}{10}=0.5km

(3km)(0.5km)(15)=22.5km

b. You can convert from centimeters to meters, and then you can make the multiplication:

\frac{44cm}{100}=0.44m\\(19m)(0.44m)(32)=267.52m

c. You only need to divide 1,140 meters by 12:

\frac{1,140m}{12})=95m

d. You can convert from hectometers to kilometers, from decameters to kilometers and from meters to kilometers, and divide this by 15:

\frac{6hm}{10}=0.6km

\frac{7dam}{100}=0.07km

\frac{5m}{1000}=0.005km

\frac{(3km)(0.6km)(0.07km)(0.005km)}{15}=(4.2)(10^{-5}) km

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Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must
Readme [11.4K]

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways  = 120 \times 220 = 26,400 \ ways

Therefore, the number of ways is 26,400 ways

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