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tankabanditka [31]
3 years ago
6

The sum of the least and greatest of 3

Mathematics
2 answers:
ANTONII [103]3 years ago
5 0

Answer:

Step-by-step explanation:

The the 3 consecutive numbers be

X, X + 1, X + 2

: X + X + 2 = 60

2X = 60 - 2

2X = 58

X = 58/2

X = 29

THE NUMBERS ARE 29, 30 AND 31

Tanzania [10]3 years ago
5 0
The three numbers are 29,30,31 because 29+31= 60. I used guess and check because we know that the two numbers have to add up to 60, so for ex: 30+30 is 60 so the other two numbers must be near the same range.
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Determine the coordinator of the point<br>of intersection of lines<br>3x-2y=13 and 2y+x+1=0​
finlep [7]

Answer:

(3,-2)

Step-by-step explanation:

Given equations of line

3x-2y=13

2y+x+1=0​

=> x = -1 -2y

Point of intersection will coordinates where both equation have same value of (x,y)

top get that we have to solve the both equations by using method of substitution of simultaneous equation.

using this value of x in 3x-2y=13, we have

3(-1-2y) -2y = 13

=> -3 -6y-2y = 13

=> -8y = 13+3 = 16

=> y = 16/-8 = -2

x = -1 - 2y = -1 -2(-2) = -1+4= 3

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3 0
3 years ago
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
Write the equation of the line parallel to 3x - 4y = 18 that goes through<br> the point (8,-3)
kkurt [141]

Answer:

y=3/4x-9

Step-by-step explanation:

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