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MArishka [77]
3 years ago
7

Lavita finally got her beautiful painting done it was a total of 1 2/3 meters. She was able to finish 3/8 each week. how many we

eks in all did it take her to weave

Mathematics
1 answer:
Paul [167]3 years ago
4 0

<u>Answer:</u>

4 weeks

<u>Explanation:</u>

Length of Lavita’s painting = 1 \frac{2}{3} m=\frac{5}{3} m

Length she was able to finish each week= \frac{3}{8}m

Now,

If she is able to finish\frac{3}{8}m in 1 week

Then

\frac{3}{8}m = 1 week

1 m = \frac{8}{3}m week

Therefore

\frac{5}{3} m=\frac{8}{3} \times \frac{5}{3} \text { week }

= \frac{40}{9}week

=4.44 week

= 4 weeks (approx.)

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Question 1:

The area of the triangle is 9\frac{5}{8} cm², if you want it rounded to the nearest whole number it will be 10 cm²

Question 2:

The area of the parallelogram is 304.5 m²

Question 3:

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The ratio of odd to even digits in the following number:  7,208,631

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Question 5:

5 tons is equal to 10,000 pounds

Question 6:

A table measures 3 feet across is 36 inches across

Step-by-step explanation:

Question 1:

The formula of the area of a triangle is A=\frac{1}{2}bh , where

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  • h is the height of the triangle

∵ The base of the triangle = 5\frac{1}{2} cm

∵ The height of the triangle = 3\frac{1}{2} cm

- Change the mixed numbers to improper fractions

∵ 5\frac{1}{2} = \frac{(5*2)+1}{2}=\frac{11}{2}

∵ 3\frac{1}{2} = \frac{(3*2)+1}{2}=\frac{7}{2}

∴ A=\frac{1}{2}(\frac{11}{2})(\frac{7}{2})=\frac{77}{8} cm²

- To change the improper fraction to mixed number divide 77 by 8

∵ 77 ÷ 8 = 9 and remainder 5 (8 × 9 = 72 , 77 - 72 = 5)

∴ 77 ÷ 8 = 9\frac{5}{8}

∴ A=9\frac{5}{8} cm²

The area of the triangle is 9\frac{5}{8} cm²

If you want to round it to the nearest whole number the area will

be 10 cm²

Question 2:

The formula of the area of a parallelogram is A = b h , where

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  • h is the height of this base of the parallelogram

∵ The base of the parallelogram = 14.5 m

∵ Its height = 21 m

∵ A = b h

∴ A = 14.5 × 21 = 304.5 m²

The area of the parallelogram is 304.5 m²

Question 3:

∵ The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and

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∴ The cafeteria sold = 200 + 100 + 150 = 450 lunches

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→  G.C.S    :    Lunches

→  150       :    450 ⇒ divide both by 10

→  15          :   45 ⇒ divide both by 5

→  3           :   9 ⇒ divide both by 3

→  1            :    3

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∵ The odd digits are 7 , 3 , 1

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∵ One ton is equal to 2000 pounds

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∵ A table measures 3 feet across

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