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snow_lady [41]
2 years ago
13

It takes 5 hours for a boat to travel 25 miles upstream. The same boat can travel 30 miles downstream in 2 hours. Find the speed

s of the boat and the current.
Mathematics
1 answer:
loris [4]2 years ago
3 0

Answer:

so 5 miles upstream and 15 miles downstream

Step-by-step explanation:

25/5=5

30/2=15

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2. A rectangle has a perimeter of 100. Its
slava [35]

Answer:

Option H

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

a= 13

Thus, option H is correct.

8 0
3 years ago
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Marianna [84]

Plug in the 1/2 where the a’s are answer is -3

7 0
3 years ago
I have 12.32m of ribbon. I need 16 pieces 0.8 m long each. How many pieces can i cut.​
serg [7]
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6 0
3 years ago
Which two substances bind using a lock-and-key mechanism?
kherson [118]

Answer:

enzyme and substrate. reactant and substrate. substrate and product.

Step-by-step explanation:

4 0
3 years ago
Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.
Over [174]

Answer:

y = 8(-\frac{1}{2})^x

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points (4, \frac{1}{2}) and (3, -1)

For the point (4, \frac{1}{2}),

\frac{1}{2}=a(b)^4 ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

\frac{\frac{1}{2}}{-1} = \frac{a(b)^4}{a(b)^3}

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-\frac{1}{2}=b

From equation (2)

-1 = a(-\frac{1}{2})^3

-1 = -\frac{1}{8}a

a = 8

Therefore, equation of the exponential function will be,

y = 8(-\frac{1}{2})^x

4 0
2 years ago
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