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White raven [17]
3 years ago
9

A boat goes 240 miles downstream in the same time it can go 160 miles upstream. The speed of the current is 5 miles per hour. Wh

at is the speed of the boat in still water?​
Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

25 mph.

Step-by-step explanation:

Le tx mph be the speed of the boat in still water. Then the speed going downstream is x+5 mph and the speed going upstream is x-5 mph.

1. A boat goes 240 miles downstream and it took it

\dfrac{240}{x+5}\ hours.

2. A boat goes 160 miles upstream and it took it

\dfrac{160}{x-5}\ hours.

Then

\dfrac{240}{x+5}=\dfrac{160}{x-5},\\ \\240(x-5)=160(x+5),\\ \\3(x-5)=2(x+5),\\ \\3x-15=2x+10,\\ \\3x-2x=10+15,\\ \\x=25\ mph.

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A large brine tank containing a solution of salt and water is being diluted with fresh water.
kirza4 [7]

Answer:

41.04 g/L

Step-by-step explanation:

The relationship is modeled by the following function:

S(t) = 500*e^(-0.25*t)

where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of  salt in the tank (in g/L)

Replacing with t = 10

S(t) = 500*e^(-0.25*10)

S(t) = 41.04 g/L

6 0
3 years ago
For every 3 kiwis there are 4
MArishka [77]

Answer:

Ratio of 3/4 I think

Step-by-step explanation:

Because you said for every 3 kiwis there are 4 of something so you would take the number of kiwis over the other number.

4 0
3 years ago
You have 23 1/2 pounds of blueberries to store in freezer bags. Each bag holds 3 3/4 pounds of blueberries. What is the minimum
monitta

Answer:

The minimum number of freezer bags needed to store all the blueberries is 7

Step-by-step explanation:

we know that

To find out the number of freezer bags needed , divide the total pounds of blueberries by 3 3/4, but first convert mixed number to an improper fraction

23\frac{1}{2}\ lb=\frac{23*2+1}{2}=\frac{47}{2}\ lb

3\frac{3}{4}\ lb=\frac{3*4+3}{4}=\frac{15}{4}\ lb

\frac{47}{2}:\frac{15}{4}=\frac{47*4}{2*15} =\frac{94}{15}=6.3\ bags

Round up

7 bags

therefore

The minimum number of freezer bags needed to store all the blueberries is 7

7 0
3 years ago
A coin is tossed 4 times. Which of the following represents the probability of the coin landing on heads all 4 times?
galben [10]

Answer:

C.1/16

Step-by-step explanation:

When a coin is tossed 4 times, the number of outcomes are:

2^4 = 16

So,

From the outcomes, only one outcome will be when there will be all heads

So, the probability will be:

One out of the 16 outcomes

Hence, the probability of a coin landing on heads all 4 times is:

C.1/16

5 0
3 years ago
Please hurry i need these fast
SVETLANKA909090 [29]

Answer:

50 degrees

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
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