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Nezavi [6.7K]
2 years ago
8

A high school sponsored a badminton tournament. After each round one-half of the players were eliminated.If there were 64 player

s at the start of the tournament, which equation models number of players after 3 rounds?
Mathematics
1 answer:
Arisa [49]2 years ago
7 0

Answer:

8 players with be left after the third round

Step-by-step explanation:

Keep dividing by two three times

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A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rat
Mandarinka [93]
Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c}  \right)+c
\end{cases}
\\\\\\
8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c

what's the speed of the boat?  well, 5 + c = b.
6 0
3 years ago
PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!
MissTica

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

7 0
2 years ago
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that
pychu [463]

Answer:28

Step-by-step explanation:

5 0
2 years ago
The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They
wolverine [178]

\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}

let the number of

  • adults be x

  • children be y

Total number of people : adults + children

  • x + y = 240

  • x = 240 - y - [1]

Total money earned from adults :

  • 6 × x = 6x

Total money earned from children :

  • 2 × y = 2y

Therefore, total money = money earned from each Adult and children.

  • 6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

  • 6 (240 - y) + 2y = 1200

  • 1440 - 6y + 2y = 1200

  • -4y = 1200 - 1440

  • -4y = - 240

  • y = 60

let's plug the value of y in equation [1]

  • x = 240 - y

  • x = 240 - 60

  • x = 180

Hence, we get :

  • total adults = x = 180

  • total children = y = 60

Correct option is C

_____________________________

\mathrm{ ☠ \: TeeNForeveR \: ☠}

7 0
2 years ago
Solve: y = -7(-13)<br> it said 21 was wrong
White raven [17]

Answer: y = 91

Step-by-step explanation:

y = -7(-13)

y = -7 x -13

y = 91

4 0
2 years ago
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