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3 years ago

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The figure shows a small plane flying at a speed of 184 miles per hour on a bearing of N40∘E . The wind is blowing from west to

east at 42 miles per hour. The figure indicates that v represents the velocity of the plane in still air and w represents the velocity of the wind.

1 answer:

irinina [24]3 years ago

5 0

Answer

142

Explanation

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The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?

Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

<u><em>Step 1: You need to create a equation first:</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

<u><em>How did I make the equation?</em></u>

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13 ALL CONSECUTIVE ODD NUMBERS

<u><em>Step 2: Simplifying the equation</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

<u><em>Step 3: Solving the equation, with explanation</em></u>

5n + 20 = 2555 Subtract 20 on both sides

5n = 2535 Isolate the variable by dividing 5 on both sides

n = 507

<u><em></em></u>

<u><em>Step 4: Plug in the value</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8

507, 507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

<u><em>Step 5: Solve the sum of the first, third, and last integer</em></u>

507 + 511 + 515 = 1533

<u><em>Step 6: THE ANSWER</em></u>

1533

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>

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3 years ago

Prime numbers between 50 and 100 in descending order

lubasha [3.4K]

<span>The numbers 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97 are prime.</span>

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3 years ago

Read 2 more answers

A service station checks Mr. Smith's radiator and finds it contains only 40% antifreeze. If the radiator holds 20 quarts and is

storchak [24]

Answer:

8 quarts

Step-by-step explanation:

<u>Step One: Figure out how much 40% is by making an equation:</u>

<em>Since we are looking for a percentage, we use cross multiplication to find X.</em>

$\frac{x}{20} = \frac{40}{100}$

<u>Step Two: multiply 20 by 40 to start cross multiplying:</u>

<em>20 times 40 is 800, so replace the 40 by 800 in the equation.</em>

$\frac{x}{20} = \frac{800}{100}$

<u>Step Three: divide 800 by 100, and we will have X:</u>

<em>800/100=8</em>

<em><u>X=8 aka 8 quarts</u></em>

I hope this helps!

pls give thx and brainliest :D

7 0

3 years ago

Write a formula to describe the sequence

Dominik [7]

Answer:

d

Step-by-step explanation:

A(n) = 1 - 0.1(n-1)

A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1

A(2) = 1- 0.1*(2-1) = 1 - 0.1*1 = 1- 0.1 = 0.9

A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8

Method:

A(1)=1

D = A(2)-A(1) = 0.9 - 1 = -0.1

A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)

= 1 - 0.1(n -1)

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3 years ago

Is 8.6x10^7 written in scientific notation

yKpoI14uk [10]

Answer:

86000000

Step-by-step explanation:

86000000

Move the decimal point 7 places to the left.

8.6000000*107

Answer:

8.6 x10^7

^So it's 86000000

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3 years ago