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yaroslaw [1]
3 years ago
10

1st week of jan,there r 49 dogs and 28 cats in an animal shelter. Throughout the month,the ratio of dogs to cats remain the same

.The last week of jan,there are 20 cats in the shelter.How many dogs are there?

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Number of dogs in the shelter in the last week is 35

<u>Step-by-step explanation:</u>

Step 1:

Given in the first week of Jan, there are 49 dogs and 28 cats, find the ratio between them.

Ratio = 49/28 = 7/4

Step 2:

Since the ratio remains constant, use it to find the number of dogs in the shelter when cats = 20 in the last week of Jan.

Number of dogs/20 = 7/4

∴ Number of dogs = 20 × 7/4 = 35

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Answer:

Area of shaded rectangle = 42 cm²

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Step-by-step explanation:

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----------------------------------------------------------------------------------------------

Perimeter of a square = 4 × side length

If the perimeter of the square is 40 cm,
then the side length = 40 ÷ 4 = 10 cm

Area of a square = side length x side length

⇒ area of this square = 10 x 10 = 100 cm²

To determine the shaded area, calculate the areas of the 2 white triangles and subtract these from the area of the square.

Area of a triangle = 1/2 x base x height

⇒ area of left triangle = 1/2 x (10 - 7) x 10 = 15 cm²

⇒ area of right triangle = 1/2 x 10 x (10 - 4) = 30 cm²

Therefore, shaded area = 100 - 15 - 30 = 55 cm²

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In this case, you need to find the percentage each student got, then find who received a higher score.

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