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Dima020 [189]
3 years ago
11

The sum of three consecutive even numbers is 48. What is the smallest of these numbers?

Mathematics
2 answers:
Helga [31]3 years ago
7 0
The smallest number is 14
SVETLANKA909090 [29]3 years ago
4 0

Answer: The numbers are 14, 16 and 18.

Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.

Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.

Our equation now becomes;

a + a + 2 + a + 4 = 48

3a + 6 = 48

Subtract 6 from both sides of the equation

3a = 42

Divide both sides of the equation by 3

a = 14

Therefore, the numbers are 14, 16 and 18.

You might be interested in
One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l
DerKrebs [107]
Data:

Humans (x) = 2 Legs
Horses (y) = 4 Legs

74 Heads
196 Legs

Solving:

Addition method

\left \{ {{x + y =74} \atop {2x + 4y =196}} \right.

Simplify by (-4) The first equation

\left \{ {{x + y =74(-4)} \atop {2x + 4y =196}} \right.
\left \{ {{-4x - \diagup\!\!\!\!\!4y =-296} \atop {2x + \diagup\!\!\!\!\!4y =196}} \right.
\left \{ {{-4x =-296} \atop {2y =196}} \right.
-2x = -100.simplify(-1)
2x = 100
x = \frac{100}{2}
\boxed{x = 50}

Now, to find the number of horses, I will use the following equation and I will replace the found value, we will have:

x + y = 74
50+y = 74

Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.

y = 74-50
\boxed{y = 24}

Answer:
Humans = 50
Horses = 24


7 0
3 years ago
Help pls. it’s due tomorow and i’m giving brainliest to first right answer
satela [25.4K]

Answer:

ummm 36?????????????????

Step-by-step explanation:

Dear Gentleman Scholar —

Recently, I nearly reduced a woman to tears when she gently proffered her hand to me at a work conference and I vigorously squeezed it and yanked her around like the Incredible Hulk shaking hands with Raggedy Ann. There was much metacarpal cracking and muted whimpering. Having (I thought) learned my lesson, later at the same event when another women extended her hand, I very gently held hers and then released. There were no injuries this time, but she glared at me as if I had just handed her a dead fish. How does a gentleman shake hands with a lady? Am I supposed to shake it, caress it, kiss it, just hold it for a moment? What gives?

Yours,

Finishing School Dropout

7 0
2 years ago
What is the value of x in the equation 25x2 = 16. A. 5/4. B. 4. C. 4/5. D. 16/25
Sergeeva-Olga [200]

Answer:

x = ⅘

Step-by-step explanation:

For clarity, exponents should be marked with a ^.  25x² can be written as 25x^2.

25x² = 16

divide both sides by the 25

x² = 16/25

take the square root of both sides

x = √(16/25) = √16/√25 = 4/5

6 0
3 years ago
In the figure shown, what is the measure of angle x?
mojhsa [17]
Angles in a triangle must add up to 180, so the missing angle inside the triangle is 180 - (70 + 40), which is 70.

Angles on a straight line (i.e. the line BD) must add up to 180, and because we know part of that angle is 70, x must be 180 - 70, which is 110.

Hence, x is 110 degrees.
5 0
3 years ago
Read 2 more answers
1:X = X:25. What number can replace X?
igor_vitrenko [27]

5 is your answer

1: 5 = 5: 25

Note that the colon can act like a fraction.

Simplify 5/25.

(5/25)/(5/5) = 1/5 = 1/5

5 is your answer

hope this helps

7 0
3 years ago
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