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1 year ago

Which linear inequality represents the solution set graphed?

Mathematics

1 answer:

SCORPION-xisa [38]1 year ago

6 0

The answer is B I agree with him/her

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Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours o

OlgaM077 [116]

Answer:

Infotron should produce each day 13 hockey and 6 soccer games

Step-by-step explanation:

x = Number of hockey games Infotron should produce

y = Number of soccer games Infotron should produce

Number of labor-hours for assembly = 2x + 3y

Number of labor-hours for testing = 2x + y

Now we can write our equations system, this way:

2x + 3y = 44

2x + y = 32

*********************

Expressing y in terms of x in the 2nd equation:

2x + y = 32

y = 32 - 2x

********************

Substituting y and solving for x in the 1st equation:

2x + 3y = 44

2x + 3 * ( 32 - 2x) = 44

2x + 96 - 6x = 44

-4x = 44 - 96

-4x = - 52

x = -52/-4

x = 13

*****************

Solving for y in the 2nd equation:

2x + y = 32

2 * 13 + y = 32

26 + y = 32

y = 32 - 26

y = 6

Infotron should produce each day 13 hockey and 6 soccer games

7 0

2 years ago

The sum of 3 numbers is 131. the second of three numbers is seven more than twice the first. the third number is 12 less than th

arsen [322]

A+b+c = 131

b = 7 + 2a and c = a - 12
so a + 7+2a + a-12 = 131
then 4a -5 = 131
then 4a = 136
and a = 34....so b= 75 and c = 22....check 34+75+22=131√

6 0

2 years ago

5^3 + 4 x 2 please help

andreyandreev [35.5K]

Answer is 133, hope this helps

8 0

2 years ago

Assume all variables and groupings are nonzero real numbers.

8_murik_8 [283]

$ab^{-4}c^{-3}=\\
\frac{a}{b^4c^3}

$

6 0

2 years ago

Two fair dice are rolled What is the SAMPLE SPACE of the possible outcomes? SHOW YOUR WORK!

serg [7]

ANSWER

See sample space below

EXPLANATION

The sample space refers to the set of all the possible outcomes.

When two fair dice are rolled, the possible by outcomes are:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

The total number of outcomes is 36.

3 0

2 years ago