If (1)/(5)h+25=d, which of the following expressions is equivalent to h ? Choose 1 answer: (A) (1)/(5)d-5 (B) (1)/(5)d+25 (C) 5d-125 (D) 5d-25

Given equation: We are given the equation (1/5)h + 25 = d. To find an expression equivalent to h in terms of d, we need to isolate h on one side of the equation.Isolating h: Subtract 25 from both sides of the equation to move the constant term to the other side. (1/5)h + 25 - 25 = d - 25 This simplifies to: (1/5)h = d - 25Multiplying both sides: Multiply both sides of the equation by 5 to solve for h. 5 * (1/5)h = 5 * (d - 25) This simplifies to: h = 5d - 125Matching the expression: We look at the answer choices to find which one matches our expression for h. (A) (1/5)d - 5 (B) (1/5)d + 25 (C) 5d - 125 (D) 5d - 25 The correct answer is (C) 5d - 125.

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If $\frac{1}{5}h+25=d$ , which of the following expressions is equivalent to $h$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{5}d-5$ $\newline$ (B) $\frac{1}{5}d+25$ $\newline$ (C) $5d-125$ $\newline$ (D) $5d-25$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. If

\frac{1}{5}h+25=d

, which of the following expressions is equivalent to

h

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{5}d-5

\newline

(B)

\frac{1}{5}d+25

\newline

(C)

5d-125

\newline

(D)

5d-25

Given equation: We are given the equation $\frac{1}{5}h + 25 = d$ . To find an expression equivalent to $h$ in terms of $d$ , we need to isolate $h$ on one side of the equation.
Isolating $h$ : Subtract $25$ from both sides of the equation to move the constant term to the other side. $\newline$ $(\frac{1}{5})h + 25 - 25 = d - 25$ $\newline$ This simplifies to: $\newline$ $(\frac{1}{5})h = d - 25$
Multiplying both sides: Multiply both sides of the equation by $5$ to solve for $h$ . $\newline$ $5 \times \left(\frac{1}{5}\right)h = 5 \times (d - 25)$ $\newline$ This simplifies to: $\newline$ $h = 5d - 125$
Matching the expression: We look at the answer choices to find which one matches our expression for $h$ .A) \frac{1}{5}d - 5\$B) \frac{1}{5}d + 25\$C) 5d - 125\$D) 5d - 25\The correct answer is (C) \$5d - 125.