Find the value of each expression. 6b2 – 5 if b = 3

Mathematics

2 answers:

Elanso [62]2 years ago

5 0

Answer:

Step-by-step explanation:

Hello $!$

I think the "<em>6b2" </em>part is confusing you. Remember if the digits are next to each other, it represents multiplication.

The simplified expression with b = 3:

6 × 3 × 2 - 5

Now, we apply PEMDAS:

36 - 5

That gives:

31.

Thus, the final value of the expression is $\boxed{\boxed{31}}$ .

Hope this helps!

- Sahkfam

snow_tiger [21]2 years ago

3 0

The answer should be 31, if I’m doing this correctly.
6(3)2-5 (multiply 6 and 3, you get 18)
18(2)-5 (multiply 18 and 2, you get 36)
36-5 (subtract 36 and 5)
31

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2 years ago

Six cousins inherited a total of 5/8 of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’

makvit [3.9K]

<h3>Answer: 5/48</h3>

============================================

Work Shown:

We'll divide the total 5/8 evenly among the 6 cousins.

(5/8) ÷ 6 = (5/8) ÷ (6/1)

(5/8) ÷ 6 = (5/8) * (1/6)

(5/8) ÷ 6 = (5*1)/(8*6)

(5/8) ÷ 6 = 5/48

Each cousin gets 5/48 of the aunt's assets.

So for instance, if the aunt had $48,000 in assets, then each cousin gets (5/48)*(48,000) = 5000 dollars.

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An alternative approach:

Draw 6 rectangles side by side that represent the 6 cousins. Then divide each rectangle into 8 pieces, with 5 pieces shaded. The yellow pieces represent the amount given to the cousins. For any given rectangle, 5/8 of it is shaded yellow. Refer to the diagram below.

Overall we have 6*8 = 48 pieces.

The first cousin gets 5 yellow pieces out of 48 total. The same applies to the other five cousins. So this is a visual way to arrive at the answer 5/48.