Respuesta :

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that the weight of a large bag of sugar is [tex]7\frac{1}{2}[/tex]. This complex fraction can be written as

[tex]7\frac{1}{2}=\frac{14+1}{2}=\frac{15}{2}[/tex]

So, the weight of a large bag of sugar is [tex]\frac{15}{2}[/tex].

The number of bags is [tex]1\frac{1}{4}[/tex]. It means the number of bags is number of bags is [tex]\frac{5}{4}[/tex].

[tex]1\text{ Bag}=\frac{15}{2}\text{ lb}[/tex]

Multiply both side by [tex]\frac{5}{4}[/tex].

[tex]1\times \frac{5}{4}\text{ Bag}=\frac{15}{2}\times \frac{5}{4}\text{ lb}[/tex]

[tex]\frac{5}{4}\text{ Bag}=\frac{75}{8}\text{ lb}[/tex]

[tex]\frac{5}{4}\text{ Bag}=9\frac{3}{8}\text{ lb}[/tex]

Therefore correct option is 4.

Answer:

(3)

[tex]9\frac{3}{8}lb[/tex]

(4)

6÷[tex]\frac{1}{5}[/tex]=[tex]30[/tex]

Step-by-step explanation:

(5)

we are given

1 bag of sugar is

[tex]=7\frac{1}{2}lb=\frac{2\times 7+1}{2}lb=\frac{15}{2}lb[/tex]

we have to find weigh of 1 1/4 bags of sugar

we can multiply both sides by 1 1/4

[tex]1\frac{1}{4}[/tex] bags of sugar

[tex]=1\frac{1}{4}\times \frac{15}{2}lb[/tex]

[tex]=\frac{5}{4}\times \frac{15}{2}lb[/tex]

[tex]=\frac{75}{8}lb[/tex]

we can write in mixed form

[tex]=9\frac{3}{8}lb[/tex]

(4)

we are given

6÷[tex]\frac{1}{5}[/tex]

we know that

a÷[tex]\frac{b}{c}[/tex]=[tex]\frac{a\times c}{b}[/tex]

now, we can use formula

6÷[tex]\frac{1}{5}[/tex]=[tex]\frac{6\times 5}{1}[/tex]

6÷[tex]\frac{1}{5}[/tex]=[tex]30[/tex]

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