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3 years ago

The sum of two consecutive even number's is 66. find the numbers.

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

Answer:

$32\ and\ 34.$

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

$x+x+2=66$

$2x+2=66$

Subtract 2 from both sides:

$2x+2-2=66-2$

$2x=64$

Divide both sides by 2:

$\frac{2x}{2}=\frac{64}{2}$

$x=32$

The smaller number is 32.

Larger number $=32+2=34$

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Is the point (1, -3) a solution to the system? Show all work

Studentka2010 [4]

Answer:

The point P(1,-3) is not a solution to the system.

Step-by-step explanation:

Given $\left \{ {{y-x+2}} \right.$

Let a point be P(1,-3)

Here x = 1 ; y = -3

Substituting the values of x,y in the function

$\left \{ {{y-x+2}} \right.$

For y<x-1

-3 < 1-1

-3<0 (True)

now for,

y>-x+2

-3 > -1 + 2

-3 > 1 (False)

Hence the point is not a solution to the system.

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3 years ago

Trigonometry need help on this one

morpeh [17]

Answer:

Step-by-step explanation:

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2 years ago

What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third?

Vikentia [17]

Answer:

The correct answer is x > 2.

Step-by-step explanation:

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3}$

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( $\geq$ ) or less than equal to ( $\leq$ ) signs. We solve the above given inequality to find the solutions of the unknown x.

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3} \\\dfrac{5}{6} x - \dfrac{1}{3} > \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{1}{3} + \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{5}{3}\\x > 2$

Firstly we change the right hand side quantity to fraction.

We then transfer the - $\frac{1}{3}$ to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.

Finally we divide both sides with $\frac{6}{5}$ to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.