Answer:
C
Step-by-step explanation:
Unit rate means that the denominator of the units has to be 1: units have to be miles/1 hour
Thus divide miles by hours to get the unit rate. The answer would then be 7/2 miles/1 hour
Here, take any points (0, -2) ((1, -6)
Now, slope (m) = -6 - (-2) / 1 - 0 = -6+2 / 1 = -4
Now, y - y1 = m(x - x1)
y - (-6) = -4(x - 1)
y + 6 = -4x + 4
y = -4x - 2
In short, Your Equation would be y = -4x - 2
Hope this helps!
The equation for the nth term in the arithmetic sequence is 8n + 8.
The number of people that can be accommodated in the 16th row is 136.
<h3>What is an
arithmetic progression?</h3>
Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Given that,
No. of seats in first row = 16
No. of seats in second row = 24
No. of seats in third row = 32
Total number of rows = 50
It forms an arithmetic progression
First term = a = 16
common difference d = 8
Number of terms, n = 50
(A) The formula for the n th term of an arithmetic progression is given by
Tn = a + (n - 1) d
= 16 + (n-1) 8
= 16 + 8n - 8
Tn = 8n + 8
(B) Now,
n = 16
The number of seats in 16 th row is given by
T(16) = 8 x 16 + 8
T(16) = 136 seats
Hence, (A)The equation for the nth term in the arithmetic sequence is 8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.
To learn more about arithmetic progression from the given link:
brainly.com/question/24205483
#SPJ4
Answer:
44x/7
Step-by-step explanation:
Radius=r=xcm
Circumference=2πr
➜2πx
➜2×22/7×x
➜44/7×x
➜44x/7
Answer:
after 75 minutes
Step-by-step explanation:
The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:
1. List the factors of each number and find the product of the unique ones:
15 = 3·5
25 = 5²
The LCM is 3·5² = 75.
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2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...
15·25/5 = 75
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Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:
15, 30, 45, 60, <em>75</em>, 90
25, 50, <em>75</em>, 100
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The two buses will appear together again after 75 minutes.
