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Delvig [45]
3 years ago
7

The sum of two consecutive odd numbers is 284. Find each number please.

Mathematics
2 answers:
Vlad [161]3 years ago
8 0
We can solve this by finding one of the numbers first
Let the smaller number be y. 
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).

Therefore, 
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141

Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143, 
Therefore, your answer is 141 and 143

andrey2020 [161]3 years ago
3 0
We need to understand how to set up the equation to solve this. If they are consecutive odd integers, that means they're two odd numbers that are next to each other, like 3 and 5 or 27 and 29. There's always a two-integer difference between the two numbers since they're both odd, so we'll use that to set up our equation. Let's make the smaller integer x. That will make the larger integer x+2, since there is a difference between them of 2. That means our equation is x+x+2=284 or 2x+2=284. When we subtract 2 from each side and then divide by two, we'll get x=141, the first integer. That means the two integers are 141 and 143.

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According to scientific research, the probability that a person between the ages of 20 and 25 having high blood pressure, is onl
boyakko [2]

Answer:

<h2>The probability is {\frac{83}{100} }^9 \times \frac{17}{100} + {\frac{83}{100} }^8 \times {\frac{17}{100} }^2 + {\frac{83}{100} }^{10}.</h2>

Step-by-step explanation:

The probability of having high blood pressure is 17%.

We need to find the probability of 2 or fewer have high blood pressure.

Possibility 1: No one have high blood pressure.

The probability is {\frac{100 -17}{100} }^{10} = {\frac{83}{100} }^{10}.

Possibility 2: Only one have high blood pressure.

The probability is {\frac{83}{100} }^9 \times \frac{17}{100}.

Possibility 3: 2 among the 10 have the high blood pressure.

{\frac{83}{100} }^8 \times {\frac{17}{100} }^2.

Any of the possibilities can happen.

Hence, the required probability is {\frac{83}{100} }^9 \times \frac{17}{100} + {\frac{83}{100} }^8 \times {\frac{17}{100} }^2 + {\frac{83}{100} }^{10}.

4 0
3 years ago
If -1 and 2 are the two zeros of the polynomial x3-4x2-7x+10 find the third zero
rewona [7]

note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2

the factors are then ( x - 1 ) and (x + 2)

and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2

thus x² + x - 2 is a factor

dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5

the third zero is x = 5

check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0




5 0
3 years ago
The area of the rectangle below is<br> sq. units.<br> Help me pls :(
Lisa [10]

Answer:

D

Step-by-step explanation:

Hey There!

To find the area of a rectangle we do length times width

17 is the width and 4 is the length

so area is equal to 17x4

17x4=68 so your answer would be D

8 0
3 years ago
Read 2 more answers
5. While working out, Susie doos 25 sit-ups for every 12 push-ups. If she does 00 push-ups, how
Norma-Jean [14]
2500 is the answer ...
3 0
3 years ago
Y=x+5<br> 4x+y=20<br> Solving system by substitution
sineoko [7]
Y = x + 5....so we sub in x + 5 for y in the other equation

4x + y = 20
4x + x + 5 = 20
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/5
x = 3

y = x + 5
y = 3 + 5
y = 8

solution is (3,8)
3 0
3 years ago
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