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Delvig [45]
2 years ago
12

There are 23 boys and 35 girls on the school's track and field team. After q boy at random to represent the school for an event

becomes 2/5, find the value of q.
Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
4 0

Answer:the value of q is48

Step-by-step explanation:

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Represent each of the following variables in the appropriate letters.Next determine wether the variable has a fixed value or a c
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Step-by-step explanation:

a) Let 'm' represents score in a Mathematics test. The variable has a fixed value because the marks Sarah obtained in her test will not change

b) Let 'd' represent the distance between the Zen house and the school. The variable has a fixed value because by using the same route, the distance will always remain constant.

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A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water
Paha777 [63]

<u>Answer:</u>

Speed of the boat in still water = 6.125 miles/hour

<u>Step-by-step explanation:</u>

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming S_b to be the speed of the boat in still water and S_w to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

Speed = \frac{distance}{time}

S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}

Adding the two equations to get:

   S_b+S_w=\frac{d}{t_1}

+  S_b-S_w=\frac{d}{t_2}

___________________________

2S_b=\frac{d}{t_1} +\frac{d}{t_2}

Solving this equation for S_b and substituting the given values for d,t_1, t_2:

S_b=\frac{(t_1+t_2)d}{2t_1t_2}

S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}

S_b=\frac{(11 hour)(33mi)}{56hour^2}

S_b=6.125 mi/hr

Therefore, the speed of the boat in still water is 6.125 miles/hour.

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