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liraira [26]
3 years ago
6

Mason says that (12x + 4) - (-3x + 5) and 15x - 1 are equivalent. Is he correct? Explain

Mathematics
2 answers:
julia-pushkina [17]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

12x minus -3x is the same as adding two positives. That gives us 15x. 4 - 5 is -1. Putting the two simplified parts of the expression together, we get 15x - 1. Mason is correct.

IceJOKER [234]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

12x+4-(-3x+5)=15x-1

12x+4+3x-5=15x-1

15x-1=15x-1

yes theyre equal

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Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have
Mariana [72]

Answer :

  • Total number of people in the room = 18

  • Number of people with red hair = 2

  • Number of people not with red hair = 18 - 2 = 16

  • Probability of picking a person who doesn't have red hair = \sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

5 0
3 years ago
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In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they
Arte-miy333 [17]

Answer: 0.22

Step-by-step explanation:

We know that the best point estimate for the difference between two population mean is the difference between their sample means.

Given : For the 39 randomly selected upperclassmen, the sample mean was 0.12 and sample standard deviation was 0.42. For the 35 randomly selected underclassmen, the sample mean was 0.34 and the sample standard deviation was 0.87.

Let A denotes the population of upperclassmen and B denotes the population of underclassmen .

\overline{x}_A=0.12

\overline{x}_B=0.34

Then, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen will be :-

\overline{x}_B-\overline{x}_A=0.34-0.12=0.22

Hence, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen =0.22

5 0
3 years ago
The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab
AnnZ [28]

Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft                      

length = 37 ft

height = ?

Pythagorean theorem

                                     c² = a² + b²

length = c

base = a

height = b

                                   37² = 9² + b²

-Solve for b

                                    b² = 37² - 9²

-Simplify

                                    b² = 1369 - 81

                                    b² = 1288

-Result

                                   b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.  

8 0
3 years ago
Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 57 times in 3 minutes. What is her
Vlada [557]

b. Every 24 minutes

Step-by-step explanation:

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The first step is to:

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This means, we find the Multiples of 6 and 8

Multiples of 6:

6, 12, 18, 24, 30, 36

Multiples of 8:

8, 16, 24, 32, 40

The first and common multiple of 6 and 8.

Therefore, the Least common multiple [LCM(6, 8) ] = 24

Hence, they often blink at the same time every 24 minutes.

Therefore, option b.Every 24 minutes is correct.

please mark me brainliest!

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steposvetlana [31]

Step-by-step explanation:

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2 years ago
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