3(T-R)=10, which of the following correctly expresses T in terms of R ? Choose 1 answer: (A) T=(R+3)/(10) (B) T=(R+10)/(3) (C) T=R+(3)/(10) (D) T=R+(10)/(3)

Expand and Simplify: First, we need to isolate T on one side of the equation. We start by expanding the left side of the equation. 3(T-R) = 3T - 3R This gives us the equation 3T - 3R = 10.Move Term Involving R: Next, we add 3R to both sides of the equation to move the term involving R to the right side. 3T - 3R + 3R = 10 + 3R This simplifies to 3T = 10 + 3R.Solve for T: Now, we divide both sides of the equation by 3 to solve for T. 3T/3 = (10 + 3R)/3 This simplifies to T = (10 + 3R)/3.Compare with Options: We compare the result with the given options to find the correct expression for T in terms of R. The correct expression is T = (10 + 3R)/3, which matches option (D).

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$3(T-R)=10$ , which of the following correctly expresses $T$ in terms of $R$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $T=\frac{R+3}{10}$ $\newline$ (B) $T=\frac{R+10}{3}$ $\newline$ (C) $T=R+\frac{3}{10}$ $\newline$ (D) $T=R+\frac{10}{3}$

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Algebra 2

Sum of finite series starts from 1

Full solution

3(T-R)=10

, which of the following correctly expresses

T

in terms of

R

\newline

Choose

1

answer:

\newline

(A)

T=\frac{R+3}{10}

\newline

(B)

T=\frac{R+10}{3}

\newline

(C)

T=R+\frac{3}{10}

\newline

(D)

T=R+\frac{10}{3}

Expand and Simplify: First, we need to isolate $T$ on one side of the equation. We start by expanding the left side of the equation. $\newline$ $3(T-R) = 3T - 3R$ $\newline$ This gives us the equation $3T - 3R = 10$ .
Move Term Involving R: Next, we add $3R$ to both sides of the equation to move the term involving R to the right side. $\newline$ $3T - 3R + 3R = 10 + 3R$ $\newline$ This simplifies to $3T = 10 + 3R$ .
Solve for T: Now, we divide both sides of the equation by $3$ to solve for $T$ . $\newline$ $\frac{3T}{3} = \frac{(10 + 3R)}{3}$ $\newline$ This simplifies to $T = \frac{(10 + 3R)}{3}$ .
Compare with Options: We compare the result with the given options to find the correct expression for $T$ in terms of $R$ . The correct expression is $T = \frac{10 + 3R}{3}$ , which matches option (D).