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Nitella [24]
2 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]2 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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If an= 4+2(n-1), what is the first term?
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Answer:

4

Step-by-step explanation:

4 is the base of the equation and then as it goes on, you add 2* the point in the sequence -1

8 0
2 years ago
STVU is an isosceles trapezoid. If SV = 6x - 5 and TU = 2x + 7, find the value of x.<br>x=3
Thepotemich [5.8K]
Because <span>STVU is an isosceles trapezoid
so SV = TU
</span><span>6x - 5 = 2x + 7
6x - 2x = 7 + 5
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  x = 3

answer
x = 3</span>
7 0
3 years ago
Naomi has earned $54 mowing lawn the past few days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the
marysya [2.9K]
The answer is $8 per hour. To get this you add the 2 1/2 and 4 1/4 and that equals 6 3/4 or 6.75. You then divide 54 by 6.75 and you get 8.
8 0
3 years ago
How do you rearrange the equation (2x) /(4pi) +((1-x) /2) =0 to solve for x?
USPshnik [31]
\frac{2x}{4 \pi } + \frac{1-x}{2} =0 \\ &#10; \frac{x}{2 \pi } + \frac{1-x}{2} = 0
Then we will multiply both sides of the equation by 2 π :
x + π ( 1 - x ) = 0
x + π - π x = 0
x ( 1 - π ) = - π    / · ( - 1 )
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3 0
3 years ago
There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an av
ki77a [65]

Answer:

350 Douglas fir, 500 Ponderosa pine

Step-by-step explanation:

 Let f = the number of fir trees

and p = the number of pine trees.

Then, we have two conditions:

(1)                                f + p = 850

(2)                  300f + 225p = 217 500

(3)                                    p = 850 -f         Subtracted f from each side of (1)

(4)       300f + 225(850 - f) = 217 500     Substituted (3) into (3)

      300f + 191 250 - 225f = 217 500     Distributed 225

                    75f + 191 250 = 217 500     Distributed the 7

                                    75f = 26 250      Subtracted 191 250 each side

(5)                                     f = 350

                             350 + p = 850           Substituted (5) into (1)

                                        p = 500          Subtracted 350 from each side

The company bought 350 fir trees and 500 pine trees.

Check:

(1) 350 + 500 = 850     (2) 300 × 350 + 225 × 500 = 217 500  

              850 = 850                  105 000 + 112 500 = 217 500

                                                                   217 500 = 217 500

OK.

8 0
3 years ago
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