Question

(35% + 25%) ( 35% + 40%)

PLS HELP THIS IS DUE TMRW FOR A FORMAL HOMEWORK PLS THANK UUU
BOTTOM QUESTION IN THE PICTURE PLS HELP

Answer 1

To solve this expression, we can use the distributive property of multiplication over addition.

First, let's simplify the expression inside the parentheses:

\( (35 \%+25 \%) = 60 \% \)

\( (35 \%+40 \%) = 75 \% \)

Now, we can multiply these two simplified expressions:

\( 60 \% \times 75 \% = 0.6 \times 0.75 = 0.45 \)

Therefore, \( (35 \%+25 \%)(35 \%+40 \%) = 0.45 \) or 45%.

Answer 2

`\sf \text{Decimal: } 0.45`

`\sf \text{Fraction: } (9)/(20)`

`\sf \text{Percentage: } 45\%`

Explanation:

`\sf \left((7)/(20) + (2)/(5)\right) \left((7)/(20) + (1)/(4)\right)`

Find a common denominator for each set of fractions.

The common denominator for
`\sf 20` and
`\sf 5` is
`\sf 20`.

So, rewrite the expression with a common denominator of
`\sf 20`:

`\sf \left((7)/(20) + (2 \cdot 4)/(5\cdot 4 )\right) \left((7)/(20) + (1\cdot 5 )/(4\cdot 5)\right)`

`\sf \left((7)/(20) + (8)/(20)\right) \left((7)/(20) + (5)/(20)\right)`

Add the fractions inside each set of parentheses:

`\sf \left((7+8)/(20)\right) \left((7+5)/(20)\right)`

`\sf \left((15)/(20)\right) \left((12)/(20)\right)`

Multiply the two fractions:

`\sf (15)/(20) * (12)/(20) = (180)/(400)`

Simplify the fraction:

`\sf (180)/(400) = (9)/(20)`

Now, let's express the result as a decimal and a percentage:

Decimal:
`\sf (9)/(20) \approx 0.45`

Percentage:
`\sf (9)/(20) * 100\% = 45\%`

So, the final answers are:

`\sf \text{Decimal: } 0.45`

`\sf \text{Fraction: } (9)/(20)`

`\sf \text{Percentage: } 45\%`