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Inessa [10]
3 years ago
7

The sum of 5 consecutive odd numbers is 145.

Mathematics
2 answers:
Cloud [144]3 years ago
8 0

Answer:

25 , 27, 29, 31, 33 are odd numbers .

Step-by-step explanation:

Given  : The sum of 5 consecutive odd numbers is 145.

To find : Find numbers .

Solution : We have given

Let the odd number = x

Consecutive Odd number : x,  x +2 x+4 ,x+ 6, x +8

According to question :

Sum of consecutive odd numbers is 145.

x+ x +2 +x+4 +x+ 6+x +8 = 145 .

Combine like terms

5x + 20 = 145 .

On subtracting both sides by 20

5x = 145 - 20.

5x = 125

On dividing both sides by 5.

x = 25.

Then , 25 + 2 = 27

25 + 4 = 29

25 + 6= 31

25 + 8 = 33

Sum 25 + 27+ 29+ 31+ 33= 145.

Therefore, 25 , 27, 29, 31, 33 are odd numbers .

Anna007 [38]3 years ago
7 0
Let x be the first odd integer. x + 2 the second x + 4 the third x + 6 the fourth x + 8 the fifth. add them up and you get 5x + 20 set 5x + 20 = 145 and solve for x. 5x=145-20 5x=125 x=25 answer=25,27,29,31,33
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8 0
2 years ago
Latanya and George
tekilochka [14]

Question is Incomplete, Complete question is given below.

Latanya and George are saving up money because they both want to buy new bicycles. Latanya opened a savings account with $50. She just got a job and is determined to save an additional $30 a week. George started a savings account with $75. He is able to save $25 a week. Find the time (in weeks) when Latanya and George will have the same amount of money in their savings accounts.

Answer:

Latanya and George will have same amount after 5 weeks.

Step-by-step explanation:

Given:

Opening Amount in account of Latanya = $50

Amount deposited every week = $30

Let number of week be 'w'.

Total Amount in Latanya  savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in Latanya  savings account = 50+30w

Also Given:

Opening Amount in account of George = $75

Amount deposited every week = $25

Let number of week be 'w'.

Total Amount in George  savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in George savings account = 75+25w

Now we need to number of week when both will have same amount.

Now to find number of week when both will have same amount we need to make both the equation same we get;

50+30w = 75+25w\\\\30w-25w = 75-50\\\\5w=25\\\\w=\frac{25}{5}=5

Hence Latanya and George will have same amount after 5 weeks.

8 0
2 years ago
Solve the initial value problem y'=2 cos 2x/(3+2y),y(0)=−1 and determine where the solution attains its maximum value.
zloy xaker [14]

Answer:

y=\frac{-3\pm\sqrt{4sin2x+1}}{2}

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Step-by-step explanation:

We are given that

y'=\frac{2cos2x}{3+2y}

y(0)=-1

\frac{dy}{dx}=\frac{2cos2x}{3+2y}

(3+2y)dy=2cos2x dx

Taking integration on both sides then we get

\int (3+2y)dy=2\int cos 2xdx

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Using formula

\int x^n=\frac{x^{n+1}}{n+1}+C

\int cosx dx=sinx

Substitute x=0 and y=-1

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2x=\frac{\pi}{2}

x=\frac{\pi}{4}

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