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solong [7]
3 years ago
14

Determine which of the ordered pairs are a part of the solution set of y + 3 < 2x (0, –4)

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

(0, –4)

(2, 0)

(2, –2)

Step-by-step explanation:

y + 3 < 2x

Subtract 3 from each side

y + 3-3 < 2x-3

y  < 2x-3

Let x=0

y < 0-3

y <-3

(0,-4)is a solution

Let x = 2

y  < 2(2) -3

 y< 4-3

y<1

(2,0)   is a solution

(2,-2) is a solution

lorasvet [3.4K]3 years ago
5 0

Answer:

(2,0) and (2,-2)

Step-by-step explanation:

y+3<2x

(2,0) is solution because 0+3<2*2, 3<4 and

(2,-2) because - 2+3<2*2, 1<4

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a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw
vovikov84 [41]

Answer:

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Step-by-step explanation:

Let the total no. of adults who saw the move be x

Let the total no. of child who saw the move be y

Given that the total number of adults (a) and children (c) who saw a movie was 35

thus. x + y = 35

cost of ticket for 1 adult = $6

cost of ticket for 1*x  adult = $6*x = $6x

cost of ticket for x  adult = $6x

cost of ticket for 1 child = $1

cost of ticket for 1*y  child = $1*y = $y

cost of ticket for y  child =  $y

Total cost for  x adult and y child = $(6x+y)   _______(2)

Given that he total money collected was $70

Thus, we have two equations

6x+y = 70  -------(1)

x + y = 35

y = 35 - x  (using this value of y in equation 1 we have)

6x + 35 - x = 70

=> 5x = 70 -35 = 35

=> x = 35/5 = 7

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the v
kifflom [539]
The variance is the total of the squared distances of the given data from the mean. 

This can be calculated through the equation,
        
                            σ² = summation of X² / N  - μ²

where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.

   summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
                          N = 5
                                        μ = (100 + 100 + 120 + 120 + 180) / 5
                                         μ = 124

Substituting these values to the equation for variance,
                                 
                              σ² = (81200/5) - 124² = 864

Thus, the variance is equal to 864. 
4 0
3 years ago
Read 2 more answers
What is 347,492 rounded to the nearest ten thousand
34kurt

Answer:350,000

Step-by-step explanation:

6 0
2 years ago
EGF and GFH are a linear pair, m EFG = 4n + 15, and m GFH = 5n + 39. what are m EFG and m GFH?
Tasya [4]

The angles of ∠EFG  and ∠GFH are 71° and  109°

<h3>What are linear pair angles?</h3>

Linear pair of angles are formed when two lines intersect each other at a single point.

In other words, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Linear pair angles are supplementary. This means the sum of  a linear pair angles is 180 degrees.

Therefore,

∠EFG + ∠GFH = 180

Therefore,

∠EFG = 4n + 15

∠GFH = 5n + 39

hence,

4n + 15 + 5n + 39 = 180

9n + 54 = 180

9n = 180 - 54

9n = 126

n = 126 / 9

n = 14

Hence,

∠EFG = 4n + 15 = 4(14) + 15 = 71°

∠GFH = 5n + 39 = 5(14) + 39 = 109°

learn more on linear pair angles here: brainly.com/question/28264317

#SPJ1

4 0
1 year ago
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