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3 years ago

4(2x-3) is greater than or equal to 4(x-4)

Mathematics

1 answer:

mylen [45]3 years ago

8 0

Answer: x ≥ -1

Step-by-step explanation:

4(2x - 3) ≥ 4(x - 4)

8x - 12 ≥ 4x - 16 distributed 4 into 2x - 3

4x - 12 ≥ -16 subtracted 4x from both sides

4x ≥ -4 added 12 to both sides

x ≥ -1 divided both sides by 4

Graph: -1 -------------→

Interval Notation: [ -1, ∞ )

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a movie ticket cost $9. a concert ticket cost $45. which equation can be use to find how many times as much the concert ticket c

Maurinko [17]

Answer:

9x5=45

Step-by-step explanation:

4 0

3 years ago

8. Terry, a plumber, worked 9 months out of the year. What percent of the year

Burka [1]

Answer:

25%

Step-by-step explanation:

9/12 = 3/4

1/4 (the months he wasn't working) = 25%

3 0

2 years ago

Read 2 more answers

A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with

hoa [83]

Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

(0.8)^10 = 0.1074

White missing:

55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:

(0.75)^10 = 0.0563

Blue missing:

45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:

(0.45)^10 = 0.0003

Total:

0.1074 + 0.0563 + 0.0003 = 0.164

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

5 0

3 years ago

Average speed is calculated by dividing total distance with the time it takes to complete it. True False

Aliun [14]

Answer:True

Step-by-step explanation:

Average speed refers to the total distance covered in a specific time . it also a scalar quantity (has magnitude but no direction)

Average speed=distance / time

-Speed is in kilometers/hours or meter/seconds

-distance is in kilometers or meters

-time is in hours or seconds

4 0

3 years ago

The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale After contacting three ren

zimovet [89]

Answer:

(A)Cost of Rental A, C= 15x

Cost of Rental B, C=5x+50

Cost of Rental C, C=9x+20

(B)

i. Rental C ii. Rental A iii. Rental B

Step-by-step explanation:

Part 1

Let x be the number of hours of the barbeque use by the club.

Rental A: $15/h

Cost of Rental A, C= 15hx

Rental B: $5/h + 50

Cost of Rental B, C=5x+50

Rental C: $9/h + 20

Cost of Rental C, C=9x+20

Part 2

The graph of the three models is attached below

Part 3(11.05-4.30)

If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.

Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours

Cost of Rental A, C= 15x=15(4.42)=$66.30

Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10

Cost of Rental C, C=9x+20=9(4.42)+20=$59.78

Rental C should be chosen as it offers the lowest cost.

Part 4 (11.05-12.30)

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

Cost of Rental A, C= 15x=15(1.42)=$21.30 Cost of Rental B, C=5x+50 =5(4.42)+50=$57.10 Cost of Rental C, C=9x+20=9(4.42)+20=$32.78

Rental A should be chosen since it offers the lowest cost.

Part 5

If the barbecue is returned the next day, say after 24 hours

Cost of Rental A, C= 15x=15(24)=$360 Cost of Rental B, C=5x+50 =5(24)+50=$170 Cost of Rental C, C=9x+20=9(24)+20=$236

Rental B should be chosen as it offers the lowest cost.

6 0

3 years ago