All categories

2 years ago

Which values from set 1,2,3,4,5 make the inequality true n + 2 < 6

Mathematics

1 answer:

Sonbull [250]2 years ago

3 0

Answer:

1, 2, and 3

Step-by-step explanation:

You can simplify n+2<6 by subtracting 2 from both sides to get n<4. Now you just select all options less than 4 which include 1, 2, and 3. The reason 4 is not a solution is because it is equal to, but not less than, 4. Sense 5 is greater than 4 it is not a correct answer either.

You might be interested in

You own a motel and have a pricing structure that encourages rentals of rooms in groups.

zheka24 [161]

Answer:

$41

Step-by-step explanation:

One room rents for $68,
Two rooms for $65 each,
In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.

So,

$a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...$

where $a_n$ is the rate per nth room rented.

This is an arithmetic sequence, so

$a_n=a_1+(n-1)\cdot d$

In your case,

$a_1=68\\ \\n=10\\ \\d=-3$

Hence

$a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41$

This means if a group rents 10 rooms, the charge per room is $41.

5 0

3 years ago

What is not a pair of equivalent fractions for 5/8 and 1/2

n200080 [17]

Two fractions equivalent to each: Just divide or multiply both top AND bottom by the same number.
5/6: 10/12 OR 15/18
15/30: 5/10 OR 1/2
45/60: 8/12 OR 4/6

Rewrite each pair or fractions with common denominator: Find the difference between the two bottom numbers, and multiply top and bottom number.

5/8 and 3/4: 4X2=8, 3X2=6. So, 5/8 and 6/8.
2/5 and 1/2: 2/5 and 2.5/5
9/9 and 5/7: 9/9 and ~5.7/9

Rewrite each in simple form: Find greatest common factor and divide.

9/54: 1/6
20/40: 1/2
100/110: 10/11

Are these fractions equivalent?
No. 5/1 and 5/5 are, because they are both 5 wholes. 1/5 is not because it is a fifth of a whole.

In what situation can you use multiplication to find equivalent fractions?
I'm sorry but I do not understand this question.
Source(s):I hope I helped, seeing as I have graduated with a math degree.

7 0

3 years ago

What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

LuckyWell [14K]

Answer:

The length of the pendulum is 14.13 meters.

Step-by-step explanation:

The length of a pendulum is given by the formula, $T = 2\pi \sqrt{\frac{L}{g} }$ , where T is the times period and L is the length of the pendulum.

Now, given that T = 2.4π seconds.

So, from the above equation, we get,

$2.4\pi = 2\pi \sqrt{\frac{L}{g} }$

⇒ $\sqrt{\frac{L}{g}} = 1.2$

⇒ $\frac{L}{g} = 1.44$ {We have the value of g as 9.81 m/sec²}

⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)

Therefore, the length of the pendulum is 14.13 meters. (Answer)

3 0

3 years ago

Find the area of the court

Romashka [77]

Answer:

7.4. I BELIEVE...sorry if i did it wrong

Step-by-step explanation:

1 2/3 + 1 2/3 = 3.33333333

2 + 2 = 4

3.333333 + 4 = 7.333333

7.333333 rounded would be 7.4

8 0

2 years ago

Given: <PQR is a right angle Prove: <PQS and <SQR are complemantary

amm1812

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)

we have that

m∠PQR=90° ----> equation B given problem (because is a right angle)

substitute equation B in equation A

m∠PQS+m∠SQR=90°

Remember that

Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)

therefore

m∠PQS and m∠SQR are complementary angles

3 0

3 years ago