Answer:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
x
=
−
41
The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.
<h3>How to find the sum of terms using Arithmetic sequence formula</h3>
aₙ = a + (n - 1)d
where
Therefore, let's find a and d
a₁₀ = a + (10 - 1)d
a₃₅ = a + (35 - 1)d
Hence,
16 = a + 9d
66 = a + 34d
25d = 50
d = 50 / 25
d = 2
16 - 9(2) = a
a = 16 - 18
a = -2
Therefore, let's find the sum of 75 terms of the arithmetic sequence
Sₙ = n / 2 (2a + (n - 1)d)
S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)
S₇₅ = 37.5 (-4 + 148)
S₇₅ = 37.5(144)
S₇₅ = 5400
learn more on arithmetic sequence here: brainly.com/question/1687271
The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Let x be the number of cheese squares that she eats and y is the number of turkey slices that she eats. If nina can eat 12 or more grams of protein, hence:
2x + 3y ≥ 12
The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12
Find out more on equation at: brainly.com/question/2972832
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Answer:
-15
Step-by-step explanation:
