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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.

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.

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3 years ago

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Marianna [84]

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

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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]

You can cut 15.4 pieces or rounded to 15 pieces just take 12.32 and divide by 0.8 giving you 15.4

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 $(4, \frac{1}{2})$ ,

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For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

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

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

$-\frac{1}{2}=b$

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