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ozzi
3 years ago
11

The sum of five consecutive numbers is 700, what is the first number?

Mathematics
2 answers:
Feliz [49]3 years ago
5 0

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be <em>x.</em>

<em />

Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).

We are given that their sum is 700. Therefore:

x+(x+1)+(x+2)+(x+3)+(x+4)=700

Solve for <em>x</em>. Combine like terms:

5x+10=700

Subtract 10 from both sides:

5x=690

Divide both sides by five. Therefore:

x=138

The first number is 138.

podryga [215]3 years ago
4 0

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138

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Step-by-step explanation:

20 mins * 3 = 60 mins (1 hour)

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74 / 100 - 0.74

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3 years ago
Use the position equation given below, where s represents the height of the object (in feet),
mariarad [96]

The answers to the questions are

  • The mathematical model is given as s = −16t2 + 1054
  • The height after 4.5 seconds is 730 feet
  • the time it would take to strike the ground is 8.11 seconds.

<h3>How to solve for the position of the object</h3>

The mathematical model of this problem would be written as

s = −16t2 + v0t + s0

s0 = 1054

then we would have

s = −16t2 + 1054

b. after 4.5 seconds the height is going to be

s = −16t2 + 1054

=  −16(4.5)² + 1054

= -16 * 20.25 + 1054

= 730

C. the time that it takes to strike the ground

s = −16t² + 1054

= 16t² = 1054

t² = 1054/16

= 65.88

t = √65.88

t = 8.11

Hence the time it would take to strike the ground is 8.11 seconds.

Read more on velocity here:

brainly.com/question/4931057

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