Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

41. - / 1 points 0/5 submissions used solve ( a = s + sr ) for s. ( s =…

Question

  1. - / 1 points 0/5 submissions used solve ( a = s + sr ) for s. ( s = ) 42. - / 1 points 0/5 submissions used solve the formula for the given variable. ( a = bh; h ) (geometry) ( h = )

Explanation:

Step1: Factor out S

Given \(a = S+Sr\), factor out \(S\) on the right - hand side. Using the distributive property \(ab + ac=a(b + c)\), we get \(a=S(1 + r)\).

Step2: Solve for S

Divide both sides of the equation \(a = S(1 + r)\) by \((1 + r)\) (assuming \(r
eq - 1\)). So, \(S=\frac{a}{1 + r}\).

Step1: Solve for h

Given \(A = bh\). To isolate \(h\), divide both sides of the equation by \(b\) (assuming \(b
eq0\)).

Step2: Final formula

We get \(h=\frac{A}{b}\)

Answer:

\(S=\frac{a}{1 + r}\)

For the second problem: