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2 years ago

Which of these inequalities has no solutions?

Mathematics

1 answer:

SVEN [57.7K]2 years ago

8 0

B is the one without a solution, because it states that a square root is less than a negative number. if √x is less than a negative value, then there isn't a number that you can plug into x that would make the inequality true. the square root of negative numbers creates an error (or an invisible number) so any values less than 0 plugged in for x don't satisfy the inequality. any positive numbers only give you positive square root results, so you don't get anything less than -17. for example:

√(36) < -17
6 < -17 is false.

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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

zalisa [80]

Answer:

$V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute$

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

$F + E = 30\\$

We also know that:

$E = 3F$

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

$F + 3F = 30\\F = 30/4\\F = 7.5 miles\\$

Then $E = 7.5*3 = 22.5$ miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train ( $V_{E}$ ) is the distance traveled between the time it did

$V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute$

3 0

3 years ago

Find the supplement of an angle that measures 20 degrees.

OLEGan [10]

Supplementary angles add to be 180 degrees. If one angle is 20. The supplement angle is 160.
180 - 20 = 160
160 is your answer.

8 0

1 year ago

16. [-12 Points]

Cerrena [4.2K]

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

8 0

2 years ago

What is the combined lenght of all buttons longer than 1 inch?

HACTEHA [7]

Answer:

2 12 1/2 inches

Step-by-step explanation:

1: 1 1/4 + 1 1/4

2: 1+1 = 2; 1/4 + 1/4 = 2/4

3: 2 2/4

Answer: 2 2/4

<em><u>Hope this helps.</u></em>

7 0

2 years ago

If George received $ 78.00 for his work at Weaver's Store, and he was paid $ 6.00 per hour, how many hours did he work?

mihalych1998 [28]

13 hours
78.00 ÷ 6.00 equals 13 hours
6×13 equals 78

3 0

3 years ago

Read 2 more answers