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2 years ago

Write an expression for the next 3 even numbers that are greater than P

2 answers:

5 0

Every even number is 2 away from the last.
0, 2, 4, 6, 8, 10, 12, 14...etc.

If we had an even number p, then the next three even numbers would be
p+2, p+4, and p+6.

(If we had an odd number p, then the next three even numbers would be
p+1, p+3, and p+5. I'm not sure if p is even is implied in the question. Technically the answer would be p - p mod 2 + 2, where p is an interger...that gets into more technical function stuff, though.)

kotykmax [81]2 years ago

5 0

We don't know whether ' P ' itself is odd or even.

-- If ' P ' is even, then the next three [larger] even numbers are

P+2, P+4, and P+6 .

-- If ' P ' is odd, then the net three [larger] even numbers are

P+1, P+3, and P+5.

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Solve the system of equations

rewona [7]

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

7 0

2 years ago

the ratio of girls to boys in an astronomy club was 3:2. there were 30 girls. how many total members were there in the club

lakkis [162]

Answer:

Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42

Step-by-step explanation:

5 0

2 years ago

The opposite of twelve percent of a number

Salsk061 [2.6K]

Step -by-step explanation: the opposite of a number is the number on the other side of the numbers line eg -5 is the opposite of 5 so-12% is the opposite of 12%

Answer:-12%

5 0

3 years ago

If the club is sending 3 members to a convention, how many different groups of 3 members are possible?

Natasha2012 [34]

There are 120 different possible groups.
(10 * 9 * 8)/(3 * 2 * 1) + 120

6 0

2 years ago

Calculate dy/dx if Ln (x + y) = e^x/y Pic included

vesna_86 [32]

The first thing you should do when dealing with implicit derivatives is to respect the rules of derivation of both the logarithm and the exponential
Then, you must regroup the terms correctly until you get dy / dx
The answer for this case is D
I attach the solution

7 0

3 years ago