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Viefleur [7K]
4 years ago
12

Which ordered pair maximizes the objective function P = 3x + 8y?

Mathematics
2 answers:
Radda [10]4 years ago
8 0

Answer:

the answer is C (5,6)

Step-by-step explanation:

Lubov Fominskaja [6]4 years ago
3 0

Correct answer is C.

Substitute each of those ordered pairs in until you get the largest number so: (0,0)=3(0)+8(0)=0 

(2,7)=3(2)+8(7)=62 

(5,6)=3(5)+8(6)=63 

(8,1)=3(8)+8(1)=42 

SO the answer would be (5,6)

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The measure of an exterior angle of a triangle is ..... the sum of the measures of the remote interior angles.
spayn [35]
Equal to the sum of the measures of the remote interior angles. (:

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4 years ago
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table.
Leya [2.2K]

Answer:

Option D

Step-by-step explanation:

Total number of employees in the organization = 250

Total person who have height greater than 180 centimeters and also have  black hair = 29

Probability of choosing a person who is taller than 180 centimeters and has black hair is

\frac{29}{250} = 0.116

Hence, option D is correct

6 0
3 years ago
Which of the following lines is not parallel to the graph of y = 4x +7?
Bas_tet [7]

Answer:

  c.  4y -x = 8

Step-by-step explanation:

Each of the equations can be put into slope-intercept form (solved for y) as follows:

a: y = 4x +9

b: y = 4x -8

c: y = (1/4)x +2

d: y = 4x -4

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The equations containing the term "4x" all describe parallel lines. The equation containing (1/4)x describes a line that intersects the given line. It is not parallel to the others.

7 0
3 years ago
Please assist me with the trapezoid problems​
White raven [17]

Problem 4

a)

MR = AG is a true statement because MARG is an isosceles trapezoid. The diagonals of any isosceles trapezoid are always the same length.

-------------------------

b)

MA = GR is false. Parallel sides in a trapezoid are never congruent (otherwise you'll have a parallelogram).

-------------------------

c)

MR and AG do NOT bisect each other. The diagonals bisect each other only if you had a parallelogram.

=================================================

Problem 5

a)

LC = AJ (nonparallel sides of isosceles trapezoid are always the same length)

x^2 = 25

x = sqrt(25)

<h3>x = 5</h3>

-------------------------

b)

LU = 25

UC = 25 because point U cuts LC in half

LC = LU+UC = 25+25 = 50

AJ = LC = 50 (nonparallel sides of isosceles trapezoid are always the same length)

AS = (1/2)*AJ

AS = (1/2)*50

<h3>AS = 25</h3>

-------------------------

c)

angle LCA = 71

angle CAJ = 71 (base angles of isosceles trapezoid are always congruent)

(angleAJL)+(angleCAJ) = 180

(angleAJL)+(71) = 180

angle AJL = 180-71

<h3>angle AJL = 109 </h3>
5 0
3 years ago
The athlete jogged a distance of 4850 yards in 20 minutes. What is the time needed to cover 9215 yards at the same rate?
sertanlavr [38]

Answer:

38 minutes

Step-by-step explanation:

Yards covered in a minute = 4850/20 = 242.5

Time needed to cover 9215 yards = 9215/242.5 = 38 min

3 0
2 years ago
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