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Helen [10]
3 years ago
9

Un numero mas su doble es igual a su mitad mas quince ¿cual es el numero ?

Mathematics
1 answer:
n200080 [17]3 years ago
4 0

For this case we have:

"One number plus its double equals its half plus fifteen, what is the number?"

x: Let the variable that represents the unknown number

According to the statement we have:

"One number plus its double" is represented as:x + 2x

"Its half plus fifteen" is represented as: \frac {x} {2} +15

Then we have the following expression:

x + 2x = \frac {x} {2} +15

We solve the equation:

3x = \frac {x} {2} +15\\3x- \frac {x} {2} = 15\\\frac {6x-x} {2} = 15\\\frac {5} {2} x = 15\\5x = 30\\x = \frac {30} {5}\\x = 6

So the number is 6

Answer:

x = 6

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Test the four possible vertices that you found in the objective function in part A. Use those values to determine which set of v
irga5000 [103]

The testing of the four vertices of the objective function gives;

C(5, 0, 55) = 430

C(5, 30, 25) = 400

C(15, 30, 15) = 420

C(45, 0, 15) = 510 (maximum)

<h3>How to test objective functions?</h3>

The objective function is seen as attached.

Now, it is noticed that just two of the vertices are listed. The other two vertices are intersections of x + y + z = 60 with x = 5 and the constraints on y.

We will assume that; 0 ≤ y ≤ 30

Thus, the missing vertices are;

(x, y, z) = (5, 0, 55)  and  (5, 30, 25)

The two given vertices are;

(x, y, z) = (15, 30, 15)  and  (45, 0, 15)

Therefore, the objective function values are;

C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430

C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400

C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420

C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510

Read more about Objective Functions at; brainly.com/question/16826001

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5 0
1 year ago
write the equation of a Line In slope-intercept form with the Y intercept at the origin and a slope of 2​
Kobotan [32]

Slope Intercept Form: y = mx + b

Slope: 2

Y-Intercept: 0

Therefore, the slope intercept form of the given values would look like this:

y = 2x + 0 or just y = 2x

Have a great day!

5 0
3 years ago
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Describe and correct the error in finding the measure of the angle
DerKrebs [107]

Sorry, it's late, and I'm a bad explainer.

The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.

A straight line is also 180°.

(2x - 12) + ? = 180

30 + x + ? = 180

If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)

2x - 12 = 30 + x

x = 42

Now you plug 42 into the exterior angle equation

2(42) - 12 = 84 - 12 = 72°

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3 years ago
M(x)=x(x+6)<br> p(x)=x(x+3)²-9<br><br> Show that m(x) and p(x) are equivalent
mamaluj [8]

Answer:

m=x+6

Step-by-step explanation:

Let's solve for m.

mx=x(x+6)

Step 1: Divide both sides by x.

2x/x=    x²+6x/x

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PLS BRAINLIEST

5 0
3 years ago
PLEASE HELP ME ASAP!! I had trouble with this and it is now over due
erica [24]

Answer:

Shira: x = 8

Samuel: m = 0

Step-by-step explanation:

Shira's mistake was that she subtracted 2 from both sides instead of adding to on both sides.

Correct Solving:

2x - 2 = 14

Add 2 to both sides;

2x = 16

Divide both sides by 2;

x = 8

Samuel's mistake was that when he distributed -2 to 8m and 8 he put the wrong sign for -2 * 8.

Correct Solving:

-2(8m + 8) = -16

Distribute;

-16m - 16 = -16

Add 16 to both sides;

-16m = 0

Divide both sides by -16;

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3 0
3 years ago
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