Question

Please help! Will give brainliest and lots of points

Answer 1

Answer:

b) $4 \frac12$ inches

3. a) $2\frac{1}{8}$ foot

Step-by-step explanation:

b)  area of a rectangle = length × width

Given:

• area = 15 3/10
• length = x + 3
• width = 3 2/5

$\implies 15\frac{3}{10}=(x+3) \times 3\frac25$

$\implies \dfrac{15\times10+3}{10}=(x+3) \times \dfrac{3 \times 5+2}5$

$\implies \dfrac{153}{10}=(x+3) \times \dfrac{17}5$

$\implies \dfrac{153}{10} \div \dfrac{17}5=x+3$

$\implies \dfrac{153}{10} \times \dfrac{5}{17}=x+3$

$\implies \dfrac{765}{170} =x+3$

$\implies \dfrac92=x+3$

$\implies 9=2(x+3)$

$\implies 9=2x+6$

$\implies 2x=3$

$\implies x=\dfrac32$

Therefore,

$\textsf{length} = \dfrac32 + 3 = \dfrac92 = 4 \frac12$

Question 3a

Subtract the length of the picture from the length of the wall, then divide the answer by 2.

$\implies (14\frac12-10\frac14) \div 2$

$\implies \left(\dfrac{14 \times 2 +1}{2}-\dfrac{10\times4+1}{4}\right) \div 2$

$\implies \left(\dfrac{29}{2}-\dfrac{41}{4}\right) \div 2$

$\implies \dfrac{17}{4} \div 2$

$\implies \dfrac{17}{4} \times \dfrac12$

$\implies \dfrac{17}{8}$

$\implies 2\frac{1}{8}$