Given parameters:
First term of the sequence = x
Second term = x + 2
Third term = x + 4
Sum of the first three terms = 72
Unknown:
First term of the sequence = ?
Solution:
The sum of the first three terms is unknown;
(x) + (x + 2) + (x + 4) = 72
Solve for x;
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6
3x = 66
x =
= 22
The first term of the sequence is 22
The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
<h3>How to determine the equation?</h3>
The attached table of values represents the missing piece in the question.
Start by calculating the rate of change using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (14.77 - 10.55)/(7- 5)
Evaluate
m = 2.11
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 2.11(x - 5) + 10.55
Evaluate
y = 2.11x - 10.55 + 10.55
y = 2.11x
Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
Read more about linear equations at:
brainly.com/question/14323743
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Answer:
K is 3.4 feet
Step-by-step explanation:
To find the perimeter of the octagon, we add up the lengths of all the sides
For this particular octagon;
7 * k + 3.9 = 27.7
7k + 3.9 = 27.7
7k = 27.7-3.9
7k = 23.8
k = 23.8/7
k = 3.4 feet
What is the value of 1 in 9.54, The value of the one is 1 tenth its in the tenths spot
Answer:
Raven should buy the boots at LaceUp since total cost is lower ($77.54)
Step-by-step explanation:
price of the boots at Shoe Town:
[$85.95 x (1 - 15%)] x (1 + 7.16%) = $73.06 x 1.0716 = $78.29
price of the boots at LaceUp:
{[$85.95 x (1 - 10%)] - $5} x (1 + 7.16%) = ($77.36 - $5) x 1.0716 = $72.36 x 1.0716 = $77.54
price of the boots at Run, Don't Walk (online store):
$71.99 + $6.50 = $78.49