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abruzzese [7]
3 years ago
15

Combined like terms:What is -4x + 14 and -9 - 2x combined

Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

-6x + 5

Step-by-step explanation:

-4x + 14 + (-9 - 2x)

= -4x + 14 - 9 - 2x

group like terms

= -4x - 2x + 14 - 9

add similar terms

= -6x + 14 - 9

therefore

-6x + 5

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An Elevator descends into a mine shaft at the rate of 5m/min. If the descend starts from 15m above the ground, how long will it
zhenek [66]
First of all, assuming that the "ground level" is 0; 

The lift is not starting from 0, so we also need to account for the extra 15 meters above the ground the lift is. 

The total distance the lift would cover in the downward direction: 15+350=365m

Now, you know that the lift covers 5 m/min

Therefore, 5x=365 (ignoring units because they can complicate things) 

x=365/5 
x=73 minutes 

Therefore, they would take 73 minutes to reach 350 m deep into the ground with a starting position 15 m above the ground. 

Hope I helped :) 
5 0
4 years ago
A baseball player hit 65 home runs in a season. Of the 65 home​ runs, 19 went to right​ field, 23 went to right-center​ field, 9
olchik [2.2K]

Answer:

a) 29.23% probability that a randomly selected home run was hit to right field

b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.

(a) What is the probability that a randomly selected home run was hit to right field?

Desired outcomes:

19 home runs hit to right field

Total outcomes:

65 home runs

19/65 = 0.2923

29.23% probability that a randomly selected home run was hit to right field

(b) Was it unusual for this player to hit a home run to right field?

29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

8 0
4 years ago
Help me please answer
neonofarm [45]

Answer:

Volume of cone = 90 ft³

Step-by-step explanation:

diameter of cone = 6ft

radius of cone = 3ft

height = 10ft

Volume of cone = \frac{\pi r^2h}{3}

V = (3 × 3 × 3 × 10)/3

V = 270/3

V = 90 ft³

3 0
3 years ago
GIVE BRAINLIEST HELP ASAP
tiny-mole [99]

Answer:

10

Step-by-step explanation:

21/2

I hope this helps:D

4 0
3 years ago
A club with 50 college students is doing volunteer work this semester. Each student is volunteering at one of four locations. He
Yuliya22 [10]

Answer: Our required probability is 0.58.  

Step-by-step explanation:

Since we have given that

Number of students worked in Nursing home = 11

Number of students worked in Tutoring center = 13

Number of students worked in Soup kitchen = 8

Number of students worked in Library = 18

Total number of students = 50

Since 3 students are selected from the club.

We need to find the probability that none of the three students volunteer at the soup kitchen.

So, Remaining students would be 50-8 = 42

So, probability that none of three students at the soup kitchen is given by

\dfrac{^{42}C_3}{^{50}C_3}\\\\=0.58

Hence, our required probability is 0.58.  

4 0
4 years ago
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