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mylen [45]
3 years ago
8

A chef cooked 5 kilograms of mashed potatoes for a dinner party. If the guests only ate 4/12 of the amount he cooked, how much d

id they eat?
Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

1\frac{2}{3}\ kg

Step-by-step explanation:

we know that

To find out how much the guests ate, multiply the total amount of kg of mashed potatoes by the 4/12 fraction

so

5(\frac{4}{12})=\frac{20}{12}\ kg

convert to mixed number

\frac{20}{12}=\frac{12}{12}+\frac{8}{12}=1\frac{8}{12}\ kg

simplify

1\frac{8}{12}=1\frac{2}{3}\ kg

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Step-by-step explanation:

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3 years ago
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4 years ago
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6 0
3 years ago
Read 2 more answers
The string of a kite is 120 metres long and it makes an angle of 60 degree
Afina-wow [57]

Answer:

103.92 m

Step-by-step explanation:

The kite is making right angle with the ground and its string is acting as hypotenuse of right triangle.

Let the height of the kite from the ground be h meters.

Therefore, by trigonometrical ratio:

\sin \theta \:  =  \frac{height \: of \: the \: kite}{length \: of \: the \: string}  \\  \\  \sin 60 \degree \:  = \frac{h}{120}  \\  \\  \frac{ \sqrt{3} }{2}  =  \frac{h}{120}  \\  \\ h =  \frac{ \sqrt{3} }{2}  \times 120 \\  \\ h =  \sqrt{3}  \times 60 \\  \\ h = 1.732 \times 60 \\  \\ h = 103.92 \: m \\

Thus, the height of the kite from the ground is 103.92 meters.

7 0
3 years ago
A rectangular auditorium seats 2142 people. The number of seats in each row exceeds the number of rows by 9. Find the number of
maxonik [38]

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Answer:

  51

Step-by-step explanation:

Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...

  s(s-9) = 2142

  s² -9s +4.5² = 2142 +4.5² . . . . . complete the square

  (s -4.5) = √2162.25 . . . . . . . . take the positive square root

  s = 4.5 +46.5 = 51 . . . . . . . add 4.5

The number of seats in each row is 51.

6 0
3 years ago
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