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3 years ago

If the product of two consecutive integers is 156 what type of equation do you create to solve this problem

Mathematics

2 answers:

anastassius [24]3 years ago

8 0

N + (n+1) = 156
2n + 1 = 156
2n = 156 - 1 = 155
2n = 155
n = 155/2
n = 77 r1
answer is
n = 77
n + 1 = 78

zhenek [66]3 years ago

6 0

I'm not sure, but I knew that 12×12=144 so I guessed that it was 12×13 and checked what that was and it was 156, so I guess and check probably

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What is 6,000 people voted in the election how many were from 18 to 29 years old?

Ilia_Sergeevich [38]

6000*10%=600
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3 years ago

The formula for the sum of an infinite geometric series, S=a1/1-r, may be used to convert

schepotkina [342]

Answer:

D. a1=23/100, r=1/100

Step-by-step explanation:

The repeating fraction can be written as the sum ...

$0.\overline{23}=0.23+0.0023+0.000023+\dots$

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4 years ago

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If f(x) = x2 + 2x – 10, what is f(-2)?

Vera_Pavlovna [14]

Answer:

The answer is -18

Step-by-step explanation:

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3 years ago

Your help is greatly appreciated. Need help please.

ehidna [41]

Answer:

$13.00

Step-by-step explanation:

Let f represent the price per foot of pasture fence, and p represent the price per foot of picket fence. The two purchases can be written in equation form as ...

2000f + 450p = 12850

700f +300p = 6350

Using Cramer's rule, we can find the value of the picket fence as ...

p = (12850·700 -6350·2000)/(450·700 -300·2000) = -3705000/-285000

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The cost per foot of picket fence is $13.00.

_____

<em>Cramer's Rule and Vedic math</em>

The above equation for p is a summary of the math you would be doing if you were to solve the equations by eliminating f. Cramer formulates it in terms of determinants of the coefficients in the equations. Practitioners of Vedic math formulate it in terms of X-pattern combinations of the coefficients in much the same way as finding a determinant. For the equations ...

ax +by = c
dx +ey = f

The solutions are ...

∆ = bd -ea

x = (bf -ec)/∆

y = (cd -fa)/∆ . . . . . this is the equation we used above

If you do a rigorous comparison of this formula with that of Cramer's rule, you find the signs of numerator and denominator are reversed. That has no net effect on the solution, but it makes the X pattern of products easier to remember for practitioners of Vedic math.

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3 years ago

In major league soccer, standings are determined by points. Three points are awarded for each win, 1 point is awarded for each t

Vlada [557]

Answer:

They won 17 games and drew 4 games

Step-by-step explanation:

The given parameters are;

The number of points the major league soccer team finished with = 55 points

The number of games the soccer team played = 28 games

The number of losses the soccer team had = 7 losses

The number of points awarded for each win = 3 points

The number of points awarded for each tie = 1 points

The number of points awarded for each loss = 0 points

Let x represent the number of wins, y represent the number of draws, and let z represent the number losses

Therefore;

z = 7

x + y + z = 28

3·x + y + 7×0 = 55

Therefore, we have the following system of equations;

x + y = 21...(1)

3·x + y = 55...(2)

Which gives;

$\begin{bmatrix}1 & 1\\ 3 & 1\end{bmatrix} \begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}21 \\ 55\end{bmatrix}$

The inverse of the matrix is given as follows;

$\dfrac{1}{1 - 3} \times \begin{bmatrix}1 & -3\\ -1 & 1\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix}$

Therefore;

$\begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix} \times \begin{bmatrix}21 \\ 55\end{bmatrix} = \begin{bmatrix}17 \\ 4\end{bmatrix}$

x = 17, y = 4

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3 years ago