Answer:
35
Step-by-step explanation:
Since the sequence is so short, you can simply add the terms. It is convenient to do them pairwise, working inward from the first+last:
(-4+14) +(-1+11) +(2+8) +5
= 10 +10 +10 +5
= 35
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Or, you can find the average term as the average of the first and last terms:
average term = (-4+14)/2 = 5
Then the sum is the product of this and the number of terms:
sum = (number of terms)×(average term) = 7 × 5 = 35
Hello there.
<span>Write an equation in point-slope form for the line through the given point with the given slope.
</span><span>y – 7 = -6/5(x + 3)
</span>
Answer:
27 > b
Step-by-step explanation:
7 > -20 + b
7 + 20 > -20 + 20 + b
27 > b
To determine the new amount you need to find out what 2/3 of 4 1/2 is equal to. What you see "of" in an algebraic expression or equation, replace it with (×).
2/3 of 4 1/2 =
2/3 × 4 1/2 =
Convert 4 1/2 to an improper fraction.
2/3 × 9/2 =
Now multiply and reduce
18/6 = 3
The new amount of dog food is 3 cups.
<span>First, group the x values together (on one side) and the other values on the other.
6x + 3 - 1/2 x = -2x +5
6x - 1/2 x + 2x = 5 - 3
Now solve!
7 and 1/2 x = 2
x = 8
Hope this helps!</span>