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dalvyx [7]
3 years ago
14

What is the solution to this equation? –5(s – 30) = –10

Mathematics
2 answers:
dimulka [17.4K]3 years ago
7 0
<span>Simplifying -5(s + -30) = -10
 Reorder the terms: -5(-30 + s) = -10 (-30 * -5 + s * -5) = -10 (150 + -5s) = -10
  Solving 150 + -5s = -10 Solving for variable 's'.
 Move all terms containing s to the left, all other terms to the right.
  Add '-150' to each side of the equation. 150 + -150 + -5s = -10 + -150
 Combine like terms: 150 + -150 = 0 0 + -5s = -10 + -150 -5s = -10 + -150
 Combine like terms: -10 + -150 = -160 -5s = -160 Divide each side by '-5'. s = 32
 Simplifying s = 32</span>
DanielleElmas [232]3 years ago
6 0
First you must isolate the variable s. Divide both sides by -5. Then add 30 to both sides to isolate s.

s-30=2

s=32
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Answer:

(a) The value of s_z is (z+1)(3-z).

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Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

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s_z=\sum_{n=0}^{n=z}(a+nd)

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s_z=\sum_{n=0}^{n=z}(3-2n)

The sum of an arithmetic sequence with  initial index 0 is

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Substitute n=z, a=3 and d=-2 in the above formula.

s_z=\frac{z+1}{2}[2(3)+z(-2)]

s_z=\frac{z+1}{2}[2(3-z)]

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(b)

The given arithmetic sequence is

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We need to find the term in the sequence.

In the given arithmetic sequence the first term is

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The common difference of the sequence is

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Add common difference in last given term, i.e., 1, to find the next term of the sequence.

1+(-3)=1-3=-2

Therefore the next term in the sequence is -2.

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