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Leno4ka [110]
3 years ago
8

 Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the

squares of the last 2 numbers.
Mathematics
1 answer:
Sloan [31]3 years ago
8 0
So... our numbers... let's say the first one is hmmm "a"
so the second and subsequent are
a
a+1
a+2
a+3
a+4

there, 5 consecutive whole numbers or integers for that matter

now, we know the sum of the square of the first three,
is the same as the sum of the square of the last two

so \bf \begin{cases}
a\\
a+1\\
a+2\\
\textendash\textendash\textendash\textendash\\
a+3\\
a+4
\end{cases}\qquad (a)^2+(a+1)^2+(a+2)^2=(a+3)^2+(a+4)^2

do a binomial theorem expansion on those, solve for "a"
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A rectangular athletic field is twice long as it is wide the perimeter is 90 yard dismention?
Shkiper50 [21]
Ah well this would look like 2(30) + 30 = 90 aka 2L + W = 90
5 0
3 years ago
Wangari plants trees at a constant rate of 12 trees every 3 hours. Write a equation that relates p, the number of trees Wangari
stealth61 [152]

Answer:

4h=p

Step-by-step explanation:

This is the answer because if both the number of trees and hours is divided by three, you get 4 trees per hour. So it's 4 times (h) equals total amount of trees planted.

4 0
3 years ago
Read 2 more answers
22+6[(14-5)÷3(17-14)]
mina [271]

The simplification of the expression is 28. The mistake in your calculation occurred in step 3.

<h3>What is the process involved in simplifying expression involving brackets?</h3>

TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).

This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.

Now, from the given information, we have:
= 22+6[(14-5)÷3(17-14)]

solving parameters in the bracket first, we have:
= 22 + 6[(9) ÷3(3)]

= 22 + 6[(9) ÷9]          

  • The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.

= 22 + 6[(9) ÷9]    

= 22 + 6[ 1]

= 22 + 6

= 28

Learn more about simplifying expressions here:

brainly.com/question/723406

#SPJ1

8 0
2 years ago
The sum of the first 6 terms of a geometric series is
jekas [21]

Answer:

4

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a(r^n-1)}{r-1}

where a is the first term and r the common ratio

Here r = 5 and a has to be found, thus

S_{6} = \frac{a(5^6-1)}{5-1}, so

\frac{a(15625-1)}{4} = 15624

Multiply both sides by 4

15624a = 62496 ( divide both sides by 15624

a = 4

7 0
3 years ago
2. I want to send out 25 Chitstmas cards so I will need 25 stamps. Each stamp cost $0.55; SO how much will I spend on stamps?​
alexdok [17]
25 (stamps) x 0.55$ = 13.75$
8 0
3 years ago
Read 2 more answers
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