Respuesta :
(1) [tex]1\frac{7}{8}[/tex] pounds of soil (2) [tex]\frac{35}{2}[/tex] (3) 33
Solution:
(1) Number of pots = 5
Quantity of soil each pot can hold = [tex]\frac{3}{8}[/tex] pounds
Quantity of soil need to fill all the pots = [tex]5\times \frac{3}{8}[/tex]
= [tex]\frac{15}{8}[/tex] pounds
= [tex]1\frac{7}{8}[/tex] pounds
Therefore, [tex]1\frac{7}{8}[/tex] pounds of soil need to fill all of the pots.
(2) To find the product of [tex]4\frac{2}{3}[/tex] and [tex]3\frac{3}{4}[/tex].
Let us first convert the mixed fraction into improper fraction.
[tex]4\frac{2}{3}\times3\frac{3}{4}=\frac{(4\times3)+2}{3}\times\frac{(3\times4)+3}{4}[/tex]
[tex]=\frac{14}{3}\times\frac{15}{4}[/tex]
[tex]=\frac{210}{12}[/tex]
This can be simplified. Divide both numerator and denominator by 6.
[tex]=\frac{35}{2}[/tex]
[tex]4\frac{2}{3}\times3\frac{3}{4}=\frac{35}{2}[/tex]
(3) To evaluate the expression 12x + 6 for [tex]x=2\frac{1}{4}[/tex].
Let us first convert the mixed fraction into improper fraction.
[tex]x=\frac{(2\times4)+1}{4}=\frac{9}{4}[/tex]
[tex]12x+6=12(\frac{9}{4})+6[/tex]
[tex]=(\frac{108}{4})+6[/tex]
[tex]=27+6[/tex]
12x + 6 = 33
