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3 years ago

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 x.

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

We are given that their sum is 700. Therefore:

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

Solve for x. 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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postnew [5]

Answer: 7 days

Step-by-step explanation: if he can make 12 liters in 6 days then you can divide 12 by 6 to know he can make 2 liters in 1 day. If he only needs 2 more liters, he only needs one more day and he has already spent 6 days and adding the one extra day, it would be 7 days

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Evaluate 5(a•4)+ b, 1 when a=-andb=12. 3 O A) 14 3 OB) 17 2 O C) 18 3 OD) 27 HELP ASAP

svetlana [45]

Evaluate 5(a•4)+ b, when a = 1/3 and b=12

The Answer is

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3 years ago

If 5x=y+75x=y+7, is (x−y)>0(x−y)>0? (1) xy=6xy=6 (2) xx and yy are consecutive integers with the same sign

crimeas [40]

Answer:

No. If 5x=y+7 then xy=6 and (2) x and y are consecutive integers with the same sign. for xy=6

Step-by-step explanation:

For the sake of clarity:

If 5x=y+7 then (x – y) > 0?

Alternatives:

(1) xy = 6

(2) x and y are consecutive integers with the same sign

1) Consider (x-y)>0 as true:

$xy=6$ Numbers like, 3*2, 6*1, etc..

$5x=y+7\Rightarrow \frac{5x}{5}=\frac{y+7}{5}\Rightarrow x=\frac{y+7}{5}\\Plugging\: in:\:\\\frac{y+7}{5}-y>0\Rightarrow \frac{y+7-5y}{5}>0\Rightarrow \frac{-4y+7}{5}>0\Rightarrow \frac{-4y+7}{5}*5>0*5\\-4y+7>0 *(-1)\Rightarrow 4y-7\frac{7}{4}\therefore y$

Since y in this hypothetical case is lesser then let's find x, let's plug in y 1 for a value lesser than 1.75:

Then xy≠6 and no and 8/5 (1.75) is a rational number. What makes false the second statement about consecutive integers.

So this is a Contradiction. (x-y) >0 is not true for 5x=x+7.

2) Consider:

x and y are consecutive integers with the same sign is true.

Algebraically speaking, two consecutive integers with the same sign can be written as:

$y=x+1$

Plugging in the first equation (5x=y+7):

5x=x+1+7⇒4x=8 ⇒x =2

Since y=3 then x=2 because:

$3=x+1\\3-1=x+1-1\\2=x \Rightarrow x=2$

3) Testing it

$5x=y+7\\\\5(2)=(3)+7\\\\10=10\:True$

$xy=6\\2*3=6\\6=6$

5 0

3 years ago

The number -5 is all of the following except

LenaWriter [7]

The correct answer is A. A whole number

Explanation:

In mathematics, whole numbers include numbers that do not include a fraction, for example, the number 4.2 includes a fraction, and therefore it is not a whole number. Moreover, whole numbers include numbers from 0 to infinity but not negative numbers. This means the number -5 is not a whole number because even then this does not include a fraction it is a negative number. According to this, this number is an integer (it does not include fractions), a rational number (it can be expressed as a fraction), and a real number (it can be represented in a line), but not a whole number.

8 0

3 years ago