QuestionTranslate these sentences into equations:
1. "Perimeter of a rectangle: $P = 2l + 2w$ ."
2. "Simple interest: $I = p \cdot r \cdot t$ ."
Also, describe: "The sum of $j$ and 16 equals 35."

Studdy Solution

STEP 1

Assumptions1. The perimeter of a rectangle is twice the sum of its length and width. . Simple interest is calculated by multiplying the principal amount, the interest rate, and the time.
3. The equation $j+16=35$ represents a mathematical relationship.

STEP 2

Translate the first sentence into a mathematical equation. The sentence says "The perimeter of a rectangle is equal2 times the length plus twice the width." Let's denote the perimeter as $$, the length as $l$, and the width as $w$.
$=2l +2w$

STEP 3

Translate the second sentence into a mathematical equation. The sentence says "Simple interest is computed by finding the product of the principal amount $p$ , the interest rate $r$ , and the time $t$ ." Let's denote the simple interest as $$.
$= p \cdot r \cdot t$

STEP 4

Write a sentence for the given equation $j+16=35$ . This equation can be interpreted as "The sum of a number $j$ and16 is equal to35."
The translated sentences into mathematical equations are1. The perimeter of a rectangle $=2l +2w$
2. The simple interest $= p \cdot r \cdot t$
3. The sentence for the equation $j+16=35$ is "The sum of a number $j$ and16 is equal to35."

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