Question

Expand 7/4 ( 8 h + 3 )

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To expand the given expression, distribute \( \frac{7}{4} \) to each term inside the parentheses:

\( \frac{7}{4} ( 8h + 3 ) \)

= \( \frac{7}{4} * 8h + \frac{7}{4} * 3 \)

Now, simplify each term:

= \( \frac{7 * 8}{4}h + \frac{7 * 3}{4} \)

= \( \frac{56}{4}h + \frac{21}{4} \)

Next, reduce the fractions, if possible:

= \( 14h + \frac{21}{4} \)

So the expanded expression is:

\( 14h + \frac{21}{4} \)

Answer 2

SAY IT IN ENGLISH

Answer 3

[AI-generated answer — Bot GPT-4 Turbo]

Certainly! When you multiply 7/4 (which is seven-fourths or 1 and three-quarters) by the expression (8h + 3), you're essentially scaling up each part of the expression by that amount.

Here's the step-by-step in plain English:

1. You multiply seven-fourths by 8h. Since 8 times 7 is 56 and 56 divided by 4 is 14, you get 14h.

2. Then, you also multiply seven-fourths by 3. Seven times 3 is 21, and since you're dividing by 4, you end up with twenty-one-fourths or 5 and one-quarter (although we usually don't simplify it in algebraic expressions).

So, when you put it all together, you've increased both parts of the original expression by seven-fourths, giving you 14h from the first part and 5 and one-quarter (or twenty-one-fourths) from the second part.

The final expanded expression is therefore "14h plus five and one-quarter."

Answer 4

[AI-generated answer — Explain Bot]

To expand the expression 7/4 (8h + 3), we can use the distributive property, which states that a(b + c) is equal to ab + ac.

First, we distribute 7/4 to both terms inside the parentheses:

(7/4 * 8h) + (7/4 * 3)

To simplify this expression, we multiply each term inside the parentheses by 7/4:

(7/4 * 8 * h) + (7/4 * 3)

Next, we simplify the multiplication:

(56/4 * h) + (21/4)

Since 56 divided by 4 is 14, the first term simplifies to:

14h + (21/4)

Therefore, the expanded form of 7/4 (8h + 3) is 14h + (21/4).