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avanturin [10]
3 years ago
15

Multiply and simplify.

Mathematics
1 answer:
Mrac [35]3 years ago
6 0
5 \frac{2}{3}* \frac{3}{4}   \\  \\  \frac{5*3+2}{3} *\frac{3}{4} \\  \\  \frac{15+2}{3}*\frac{3}{4} \\  \\  \frac{17}{3}*\frac{3}{4} \\  \\  \frac{17*3}{3*4}    \\  \\  \frac{51}{12}  \\  \\ 4 \frac{3}{12}  \\  \\ 4 \frac{1}{4}
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47. Forming a Committee Four members from a 20-person committee are to be selected randomly to serve as chair- person, vice-chai
Svetllana [295]

Answer:

116,280 different leadership structures are possible

Step-by-step explanation:

The order is important.

For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many different leadership structures are possible

Permutations of 4 elements from a set of 20. So

P_{(20,4)} = \frac{20!}{(20-4)!} = 116280

116,280 different leadership structures are possible

6 0
3 years ago
PLZ HELP ME ASAP.. Which is the correct algebraic expression after combining like terms?
Vladimir [108]

Answer:

3cd+3 1/3c- 3d

Step-by-step explanation:

6 cd+ 3 c- 7 d- 3 cd+ 4d+ 1/3 c

6 cd - 3 cd = 3 cd    First term

3c + 1/3c = 3 1/3c     Second Term

4d - 7d = -3d       Third Term

Combine all terms to get:

3cd+3 1/3c- 3d

5 0
4 years ago
The function models the number of accidents per 50 million miles driven as a function
sesenic [268]

Answer:

x=39, y=180

Step-by-step explanation:

f(x)=0.4x²-31.2x+788.4

For x=39 the graph reaches its lowest point.

The minimum value of y is:

x=39→y=f(39)=0.4(39)²-31.2(39)+788.4

y=f(39)=0.4(1,521)-1,216.8+788.4

y=f(39)=608.4-1,216.8+788.4

y=f(39)=180

5 0
4 years ago
How many places do you need to move the decimal to the left to write the number below in the scientific notation?
Zolol [24]

Answer:

10

Step-by-step explanation:

in scientific notation a number cant be greater than 10. so you have to move the decimal to make it under 10.

4 0
3 years ago
Jessie has 160 rubber bracelets. She arranges the bracelets in piles of 40. Which model shows 160 ÷ 40?
Sergio [31]

Answer:

I am not sure what model you are talking about, no options to choose from

Step-by-step explanation:

You can divide both by 10, making the problem 16 / 4, which would look like 4 piles of four.

This means that the model that looks like 4 groups of 40

5 0
3 years ago
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