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KengaRu [80]
3 years ago
7

Twelve girls try out for the hockey team. Two play goal, four play defence, and the rest play forward. How many different starti

ng lineups could the coach choose if she needs 1 goalie, 2 defence, and 3 forwards?
Mathematics
1 answer:
Leto [7]3 years ago
4 0
There are 2 choices for 1 goalie, 4C2 possible combinations for the 2 defence and 6C3 combinations for the 3 forward. Therefore the total number of different lineups is found from:
2\times4C2\times6C3=240
There are 240 possible different lineups.
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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0
3 years ago
I WILL MARK BRAINLIEST ANSWER I REALLY REALLY NEED IT: Mr. Teeple leaves Fishers traveling 72 km/hr. An hour later, Mrs. Young l
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D = rt, Distances Equal
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3 0
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PLEASE HELP WILL GIVE BRAINLEST
Vesna [10]
Protons is the answer that makes the most sense
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3 years ago
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Ryan spent $26.32 on 8 gallons of gas. How much would he spend for 20 gallons?
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$26.32/8=$3.29 for a gallon
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3 years ago
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Solve the given inequality 11x-20<_13​
RUDIKE [14]

Answer:

x ≤ 3

Step-by-step explanation:

11

x

−

20

≤

13

Step 1: Add 20 to both sides.

11

x

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20

+

20

≤

13

+

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11

x

≤

33

Step 2: Divide both sides by 11.

11

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11

≤

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11

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3 years ago
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