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anastassius [24]
3 years ago
5

a motorboat can maintain a constant speed of 29 miles per hour relative to the water. the boat makes a trip upstream to a certai

n point in 31 minutes; the return trip takes 27 mintues. what is the speed of the current?
Mathematics
1 answer:
Paul [167]3 years ago
7 0

x ~ 2.3 mph is the current

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The product of two Even numbers
krek1111 [17]

The product of two even numbers is even.

 

Let m and n be any integers so that 2m and 2k are two even numbers.

The product is 2m(2k) = 2(2mk), which is even.

 

 

Things to think about:

Why didn’t I just show you by using any two even numbers like the number 4 and the number 26?

Why did I change from "m" to "k" ? Are they really different numbers or could they be the same?

Why did I specifically say that m and k were integers?

 

The product of two odd numbers is an odd number.

Let m and k be any integers. This means that 2m+1 and 2k+1 are odd numbers.

The product is 4mk + 2m + 2k + 1 (hint: I used FOIL) which can be written as

2 ( 2mk + m + k ) + 1 which is an odd number.

3 0
3 years ago
Please someone answer these 2 questions
saveliy_v [14]
1. C
2.A
Hope this helps, good luck :D
4 0
2 years ago
WHO RUNS THE FASTEST? HELP
Vlada [557]

Answer:

Jessica runs the fastest

Step-by-step explanation:

If you divide all of the lengths they ran by the time it took them to run in seconds, you find how much feet they run each second and Jessica ran the most feet in the least amount of time which means she runs the fastest.

7 0
3 years ago
Read 2 more answers
(Write the fraction as a mixed number) Anyone able to help out with my 4 questions?
s344n2d4d5 [400]
Yes !  I can help you.

-- Take each fraction.

-- Do the division . . . (top number) divided by (bottom number) .

-- Write the whole number from the quotient.
    Save the remainder.

-- After the whole number, write a fraction.
   Copy the original bottom number to the bottom of the fraction.

-- Copy the remainder from the division to the top of the fraction.

Bada-bing !  There's your mixed number.
7 0
2 years ago
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Suppose that w and t vary inversely and that t = 5/12
Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

8 0
2 years ago
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