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Nitella [24]
3 years ago
11

The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is hav

ing a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

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The base of a triangle is 4 meters shorter than the height. What are the height and length of the triangle if its area is 48 squ
Sergeeva-Olga [200]

Answer: H=12 and B=8

Looking at the problem, you are given the area, <em>a</em> , and told the h is 4 meters longer than <em>b; </em>in other words, <em>h</em>=<em>b</em>+4.

Since <em>a=</em>1/2<em>bh</em>, you can replace <em>a</em> with 48. Also, since <em>h</em> is <em>b</em>+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of <em>b,</em> you know that you have twice the value of 48, or 96. So, you can put that 96=<em>b(b+4). </em>

2.<em> </em>Now, thinking through factors of 96-  1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which <em>h </em>is b+4 is 12 x 8.

Hope this helps,

Lacia :))

8 0
3 years ago
The sum of 12 and the quantity 8 times a number k is equal to 48
Rudiy27
12+8k=48
=>8k=36
=>k=36/8
=>k=4.5
6 0
3 years ago
ALGEBRA<br> EQUATION<br> PLEASE HELP ASAP<br><br> -3=12y-5(2y-7)
Dovator [93]

Simplify:

−3=12y−5(2y−7)

−3=12y+(−5)(2y)+(−5)(−7)(Distribute)

−3=12y+−10y+35

−3=(12y+−10y)+(35)(Combine Like Terms)

−3=2y+35

Flip the equation.

2y+35=−3

Subtract 35 from both sides.

2y+35−35=−3−35

2y=−38

Divide both sides by 2.

2y/2=−38/2

y=−19


3 0
3 years ago
Read 2 more answers
Solve each equation. Show your work<br><br> 13a=-5<br> 12−b=12.5<br> -0.1=-10c
amid [387]
1) 13a=-5
Make a the subject of the formula by dividing both sides by 13(the coefficient of a)
13a/13=-5/13
Therefore a= -0.385

The second one). 12-b= 12.5
You take the 12 to the other side making b subject of the formula (-b in this case)
-b= 12.5-12
-b= 0.5
(You cannot leave b with a negative sign so you will divide both sides by -1 to cancel out the negative sign)

-b/-1= 0.5/-1
Therefore b=-0.5

The third one). -0.1= -10c
You will divide both sides by the coefficient of c(number next to c) which is -10
-0.1/-10= -10c/-10

Hence, c= 0.01
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=27%20%5Ctimes%20%5Cpi%20%3D%20%5Cpi%20%5Ctimes%2027" id="TexFormula1" title="27 \times \pi = \
Tju [1.3M]

I'm not sure what the question is here. If an answer is communicative property, go with that. If it is asking for \pi x 27, the answer is about 84.8230016469.

6 0
3 years ago
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