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Andre45 [30]
3 years ago
10

Find the solution of the inequality -3n < 81

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

n<-27

Step-by-step explanation:

you have to get n by itself, to do this divide -3 from both sides of the equations.

-3n/-3<81/-3

n<-27

the answer is n<-27

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Two trains begin in Milford and end in Pinkerton, which is 300 miles away. Train A leaves Milford at 10:00 a.M. And travels at a
cluponka [151]

Answer:

B. Train B  

Step-by-step explanation:

We are told that Milford and Pinkerton is 300 miles away.

Train A leaves Milford at 10:00 am. There are 3 hours between 10:00 am to 1:00 pm. So let us find distance traveled by train A in 3 hours.

\text{Distance}=\text{Speed*Time}  

\text{Distance traveled by train A}=90\frac{\text{ miles}}{\text{ hour}}\times 3\text{ hours}

\text{Distance traveled by train A}=90\times 3{\text{ miles}

\text{Distance traveled by train A}=270{\text{ miles}

Since train A will cover 270 miles in 3 hours and distance between Milford and Pinkerton is 300 miles, therefore, train A will not arrive Pinkerton before 1:00 pm.

Since there are 5 hours between 8:00 am to 1:00 pm, so let us find distance traveled by train B in 5 hours.

\text{Distance traveled by train B}=70\frac{\text{ miles}}{\text{ hour}}\times 5\text{ hours}

\text{Distance traveled by train B}=70\times 5 \text{ miles}

\text{Distance traveled by train B}=350\text{ miles}  

Since train B will cover 350 miles in 5 hours, therefore, train B will arrive Pinkerton before 1:00 pm and option B is the correct choice.

5 0
3 years ago
What should the next number be? 100 96 104 88 120 56
riadik2000 [5.3K]

100 ---> 96 is -4

96 ---> 104 is +8

104 ---> 88 is -16

88 ---> 120 is +32

120 ---> 56 is -64  

So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.  

The pattern of numbers is: -4, +8, -16, +32, -64  

Notice it's the powers of 2:  

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

2^6 = 64

each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.  

The last difference is -64, which doubles to -128. Change the sign to positive to get +128  

Add 128 to the last term of 56 to get

128+56 = 184  

Therefore, the final answer is 184

8 0
3 years ago
What is the area of a gameboard if it is 9 1/2 inches by 11 3/4 inches
Reil [10]
You just need to multiply 9 1/2 by 11 3/4. simplify these into decimals: 9.5 and 11.75

Then do 9.5*11.75=111.625
4 0
3 years ago
Joey walked 10 laps around the school's track. He walked a total distance of 6.74 miles. Monica walked 30 laps around the same t
Anvisha [2.4K]

Answer:

20.22 miles

Step-by-step explanation:

If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22

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Samantha needs 9 feet of fencing to make repairs from a storm. If the hardware store sells fencing only in yards, how much
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It's C. because 3 yards is 9 feet

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2 years ago
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