If (24)/(O+P)=5, which of the following correctly expresses O in terms of P ? Choose 1 answer: (A) O=(5)/(24)-P (B) O=(24)/(5)-P (c) O=(24)/(5)+P (D) O=120-P

Multiply both sides: We are given the equation (24)/(O+P) = 5. To find O in terms of P, we need to solve for O. First, we multiply both sides of the equation by (O+P) to get rid of the denominator. 24 = 5(O + P)Distribute the 5: Next, we distribute the 5 on the right side of the equation. 24 = 5O + 5PSubtract 5P: Now, we want to isolate O, so we subtract 5P from both sides of the equation. 24 - 5P = 5ODivide by 5: Finally, we divide both sides of the equation by 5 to solve for O. (24 - 5P)/5 = OSimplify the expression: Simplify the expression for O. O = 24/5 - 5P/5 O = 24/5 - P

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If
(24)/(O+P)=5, which of the following correctly expresses
O in terms of
P ?
Choose 1 answer:
(A)
O=(5)/(24)-P
(B)
O=(24)/(5)-P
(c)
O=(24)/(5)+P
(D)
O=120-P

If $\frac{24}{O+P}=5$ , which of the following correctly expresses $O$ in terms of $P$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $O=\frac{5}{24}-P$ $\newline$ B $O=\frac{24}{5}-P$ $\newline$ (c) $O=\frac{24}{5}+P$ $\newline$ (D) $O=120-P$

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

Q. If

\frac{24}{O+P}=5

, which of the following correctly expresses

O

in terms of

P

\newline

Choose

1

answer:

\newline

(A)

O=\frac{5}{24}-P

\newline

O=\frac{24}{5}-P

\newline

(c)

O=\frac{24}{5}+P

\newline

(D)

O=120-P

Multiply both sides: We are given the equation $\frac{24}{O+P} = 5$ . To find $O$ in terms of $P$ , we need to solve for $O$ . First, we multiply both sides of the equation by $(O+P)$ to get rid of the denominator. $24 = 5(O + P)$
Distribute the $5$ : Next, we distribute the $5$ on the right side of the equation. $24 = 5O + 5P$
Subtract $5P$ : Now, we want to isolate $O$ , so we subtract $5P$ from both sides of the equation. $\newline$ $24 - 5P = 5O$
Divide by $5$ : Finally, we divide both sides of the equation by $5$ to solve for $O$ . $\frac{24 - 5P}{5} = O$
Simplify the expression: Simplify the expression for $O$ . $O = \frac{24}{5} - \frac{5P}{5}$ $O = \frac{24}{5} - P$