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Vera_Pavlovna [14]

3 years ago

8

Three research departments have 9 , 6 , and 8 members, respectively. Each department is to select a delegate and an alternate to

represent the department at a conference. In how many ways can this be done?

1 answer:

erastova [34]3 years ago

6 0

The should be 158 ways, because 9*8+8*7+6*5=158.

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Secant RM intersects secant RN at point R. Find the length of RQ. If necessary, round to the hundredths place.

QveST [7]

Answer:

3 Units

Step-by-step explanation:

Secant RM intersects secant RN at point R.

The secants intersects the circle at points P and Q respectively as seen in the diagram.

To determine the length of RQ, we use the Theorem of Intersecting Secants.

Applying this on the diagram, we have:

RP x RN=RQ X RM

4(4+5)=RQ(RQ+9)

Let the length of RQ=x

$4*9=x^2+9x\\36=x^2+9x\\x^2+9x-36=0\\x^2+12x-3x-36=0\\x(x+12)-3(x+12)=0\\(x+12)(x-3)=0\\x+12=0$ x-3=0\\x=-12 or x=3\\Since x cannot be negative$\\x=|RQ|=3$

Therefore, length of RQ=3 Units

7 0

2 years ago

Y = x + 3<br> 4x + y = 18

Drupady [299]

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x+x+3=18

(4x+x)+(3)=18(Combine Like Terms)

5x+3=18

5x+3=18

Step 2: Subtract 3 from both sides.

5x+3−3=18−3

5x=15

Step 3: Divide both sides by 5.

5x/5 = 15/5

x=3

4 0

2 years ago

You decide to go to the movies for your birthday. You need to buy 8 student tickets and 2 adult tickets. If student tickets are

Leto [7]

Answer:

$112.80

Step-by-step explanation:

You are buying 8 student tickets, each costing $10.68. Multiply 8 with 10.68:

10.68 x 8 = 85.44

You are buying another 2 adult tickets, each costing $13.68. Multiply 2 with 13.68:

13.68 x 2 = 27.36

Next, add the two costs together:

27.36 + 85.44 = 112.80

$112.80 is your total cost.

~

5 0

3 years ago

Read 2 more answers

Solve these linear systems using elimination <3

Dmitry_Shevchenko [17]

Answer:

1.x=3/4y + 2

Step-by-step explanation:

Add 3y to both sides then after youdidnt that divide both sides by 4 Thereyougo the answer.

i have school myself so i only did one.

3 0

2 years ago

Out of 25 students, 15 students are girls. what is the ratio of boys and girls? a: 3:5 b: 2:5 c: 2:3

Vadim26 [7]

Answer:

Answer: C 2:3

Step-by-step explanation:

total students = 25

total girls = 15

total boys = 25-15 = 10

boys:girls = 10:15

divide by 5 to get 2:3

6 0

1 year ago