The sum of two numbers is 52 . The larger number is 12 more than the smaller number. What are the numbers?

A rectangular school banner has a length of 36 inches and a width of 52 inches. A sign is made that is similar to the school ban

zalisa [80]

Answer:

4212 : 1573 is the ratio.

Step-by-step explanation:

Given:

Length of rectangular school banner is 36 inches and width is 52 inches.

And, the sign made is similar to banner.

The sign's length is 22 inches.

Now, we have to find the ratio of the area of the banner to the area of the sign.

So, we have dimensions of rectangular school banner:

Length = 36 inches.

Width = 52 inches.

But, we have only length of sign:

Length = 22 inches.

Now, we have to find the width of sign by using cross multiplication method:

Let the width of sign be $x.$

As, sign is similar to banner.

So, if 36 inches is equivalent to 52 inches.

Then, 22 inches is equivalent to $x.$

$\frac{36}{52} =\frac{22}{x}$

By cross multiplying we get:

$36x=1144$

Dividing both sides by 36 we get:

$x=31\frac{7}{9} .$

Hence, the width of sign is $31\frac{7}{9}$ inches.

Now, we find the area of banner and the area of sign by putting formula:

Area of banner = length × width.

$Area\ of\ banner=36\times 52$

$Area\ of\ banner=1872\ square\ inches.$

Now, area of sign:

$Area\ of\ sign=length\times width\\\\Area\ of\ sign=22\times 31\frac{7}{9} \\\\Area\ of\ sign=22\times \frac{286}{9} \\\\Area\ of\ sign=\frac{6292}{9} \ square\ inches.$

Now, to get the ratio of the area of the school banner to the area of the sign:

$1872:\frac{6292}{9}$

$=\frac{1872}{\frac{6292}{9} } \\\\=\frac{16848}{6292}$

On simplifying we get:

$=\frac{4212}{1573}$

$=4212:1573.$

Therefore, the ratio of the area of the school banner to the area of the sign is 4212:1573.

8 0

3 years ago

if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food

kap26 [50]

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

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A kite is a quadrilateral with two pairs of adjacent sides that are equal in length.Jackson has a rectangular piece of cloth tha

Klio2033 [76]

No he's short 2 cm
hope it helps

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Sam is filling up his pool. The water hose filled the 392 gallon pool in 49 minutes. At what rate did the hose fill the pool in

cestrela7 [59]

Your answer would be 8 Hammond per minute. Hope this helps!

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Aleks [24]

Answer:

3/24 or .125%

Step-by-step explanation:

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