Challenge 1:

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

George has $6.40 in nickels and dimes. If he has

VLD [36.1K]

Answer:

George has 64 nickel and 32 dimes.

Step-by-step explanation:

Normally, we have:

One nickel = 5 cents

One dime = 10 cents

One dollar = 100 cents

Therefore, total number of cents that George has can be calculated as follows:

Total number of cents = $6.40 * 100 = 640 cents

Based on the above, we have:

640 cents = 640 / 5 = 128 nickel

640 cents = 640 / 10 = 64 dimes

Therefore, we have:

128 nickel = 64 dimes

Divide through by 2 in order to share 640 cents equally, we have:

128 nickel / 2 = 64 dimes / 2 => 64 nickel = 32 dimes

Since 64 minus 32 is equal to 32, it therefore implies that George has 64 nickel and 32 dimes.

3 0

3 years ago

Will give brainliest lots of points A is the midpoint of LB,Lb =6x-17 and AB=2x+3

NARA [144]

A is the mid point ==> AL = AB = 2AB
6x-17=2(2x+3) => 6x -17 = 4x +6 => 2x = 23 =>x=23/2
then just plug x into LB and AB

5 0

3 years ago

-2/3 divided by (-1/2)

denis23 [38]

Answer:

4/3

Step-by-step explanation:

multiply by the reciprocal

$-\frac{2}{3}$ × $-\frac{2}{1}$ = $\frac{4}{3}$

7 0

3 years ago

Read 2 more answers

13/18 % of a quantity is equal to what fraction of the quantity?

Leto [7]

Answer:

2/15/76

Step-by-step explanation:

I don't want to disappoint you but that's my answer thank me later and good luck

5 0

3 years ago