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const2013 [10]
3 years ago
7

The sum of three consecutive even integers is 642. What are the integers? (Show your work too please)

Mathematics
2 answers:
Oliga [24]3 years ago
3 0

Answer:

212,214,216

Step-by-step explanation:

n+n+2+n+4=642

add the n's and 2 and 4

3n+6=642

subtract 6 from both sides

636 divided by 3

you get 212 then add 2 twice.

Dennis_Churaev [7]3 years ago
3 0

Answer:

212, 214, 216

Step-by-step explanation:

Basically you can divide 642 by 3 to find the average number of the 3.  get You get 214, so that means 214 + 214 + 214 = 642

We need consecutive EVEN integers though, so you can take the one even BEFORE and then one even AFTER 214

This means 212 and 216 are used as they are 2 before and 2 after, so when added they still total 642.

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Mario claims that if the dinominator of a fraction is a prime number, then its decimal form is a repeting decimal. Do you agree?
vodomira [7]

Answer:

I do not agree because Mario's claim is not general.

Step-by-step explanation:

Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.

And a  denominator is the divisor in a given fraction.

Considering the following fractions whose denominators are prime numbers:

\frac{2}{3} = 0.66666666...

\frac{1}{7} = 0.142857142

\frac{5}{11} = 0.45454545...

\frac{3}{13} = 0.23076923

\frac{1}{7} = 0.142857142

It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.

4 0
3 years ago
1/4 divided By 2 Show Your Work On How You Got The Answer
EastWind [94]
1/4 / 2 = 1/4*2 = 1/8
8 0
3 years ago
Determine the solutuon for x^2-3x-28>0
natita [175]

Answer:

 x < -4 or x > 7.

Step-by-step explanation:

We first determine the critical points by solving x^2 - 3x - 28 = 0:

x^2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x = 7, - 4

so the critical points are  -4 and  7.

Create a Table   (pos = positive and neg = negative):

Value  of           x< - 4        -4  < x < 7         x > 7    

---------------------|----------- |--------------------- |---------------------

x + 4                  NEG           POS                 POS

x - 7                    NEG           NEG                POS

(x + 4)(x - 7)         POS           NEG                POS

So the function is positive (>0) for x < -4 or x > 7.

You can also do this by drawing the graph of the function.

6 0
3 years ago
A salesman is carrying a big bag for selling a machine. In addition to the machine that the salesman wants to sell, there is som
stira [4]

The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.

<h3>What is a fraction?</h3>

A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.

<h3>Calculation:</h3>

It is given that,

A salesman is carrying a big bag for selling a machine.

Consider the weight of the machine = w

So,

The weight of his machine is three kilograms and half a machine. I.e.,

w = 3kg +w/2

⇒ w/2 = 3kg

∴ w = 6kg

Thus, the weight of the machine is 6 Kg.

So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine

⇒ 1/2Kg + 1/4w

⇒ 1/2 + 6/4

⇒ 2 Kg

The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.

⇒ 4Kg - w/4

⇒ 4 - 6/4

⇒ 2.5 Kg

He has some supplies that weigh two-fifth of the machine and personal stuff combined.

⇒ 2/5(w + 2.5)

⇒ 2/5 × 8.5

⇒ 3.4 Kg

Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg =  13.9Kg.

Therefore, the total weight of the salesman's bag is 13.9 Kg.

Learn more about fractions here:

brainly.com/question/78672

#SPJ4

7 0
1 year ago
The cost of renting a car from us is just $19.25 per day
igomit [66]
19.25x Hope this helped you....
3 0
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