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,

where
is the rate per nth room rented.
This is an arithmetic sequence, so

In your case,

Hence

This means if a group rents 10 rooms, the charge per room is $41.
Two fractions equivalent to each: Just divide or multiply both top AND bottom by the same number.<span>
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.
</span>Source(s):<span>I hope I helped, seeing as I have graduated with a math degree.</span>
Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula,
, 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,

⇒ 
⇒
{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)
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
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