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kozerog [31]
3 years ago
6

Johns collection contains US, Indian and British stamos. If the stamps ratios of US to Indian stamps is 5 to 2, and the ratio of

Indian stamps to British stamps is 5 to 1, what is the ratio of US to British stamps
Mathematics
1 answer:
NARA [144]3 years ago
8 0
<span>Figure out what is the commonality for each ratio.
There are India stamps in each ratio, so India is the commonality.

Now you simply take the two ratios and multiply them until India has the same amount.

So, Multiply the first by 5 to get a ratio of 25 US to 10 Indian
Multiply the second by 2 to get a ratio of 10 Indian to 2 British

Now that you have "10 Indian" in both ratios, they match up
You have 25 US : 10 Indian : 2 British.

Since the answer is only asking for US and British, you only need 25 US : 2 British</span>
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The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width
Alenkasestr [34]

Complete question :

Answer:

Width = 14 yards ; length = 25 yards

Step-by-step explanation:

Given that :

The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width and length of the garden?

Width of garden (W) = w

Lenght of garden (L) = 2w - 3

Perimeter of a rectangle : 2 (L + W)

2(2w - 3 + w) = 78

2(3w - 3) = 78

6w - 6 = 78

6w = 78 + 6

6w = 84

w = 14 yards

Length = 2(14) - 3

Length = 28 - 3 = 25 yards

3 0
3 years ago
Which set of side lengths can be used to form a right triangle
leva [86]

Answer:

14, 48, 50

Step-by-step explanation:

To check which set of side length can be used to form a right triangle we use pythagorean theorem

c^2 = a^2 + b^2

biggest side (hypotenuse is c^2)

(a) 14, 48, 50

50^2 = 14^2 + 48^2

2500= 196+2304

2500= 2500 that is  true

(b) 30, 40, 60

60^2 = 30^2 + 40^2

3600= 900+ 1600

3600= 2500  that is false

(c) 14, 50, 60

60^2 = 14^2 + 50^2

3600= 196+2500

2500= 2196    that is false

(d)  10, 24,28

28^2 = 10^2 + 24^2

784=100+576

784=676    that is false

4 0
3 years ago
Calculate the ratio to the nearest hundredth (Please do them all for me)<br>PLEASE!
earnstyle [38]

All of them are 3.14

I got them all right on I ready :)))

8 0
3 years ago
2 (-X + 3) + x <br><br> Ⓘ ⓡⓔⓐⓛⓛⓨ ⓓⓞⓝ'ⓣ ⓤⓝⓓⓔⓡⓢⓣⓐⓝⓓ
Darina [25.2K]

Answer:

  -x +6

Step-by-step explanation:

We assume you want to simplify this.

Use the distributive property to eliminate the parentheses. That property tells you that the factor outside parentheses (2) will multiply both of the terms inside parentheses. It's as though you had a bag (parentheses) with two objects inside. Two such bags will have two of each of those objects.

  2(-x +3) +x

  = 2(-x) +2(3) +x

  = -2x +6 +x

Now, the like terms -2x and +x can be combined.

  = x(-2 +1) +6

  = x(-1) +6

  = -x +6 . . . . . the simplified expression

5 0
3 years ago
An admiral, captain, and commander, all different, are to be chosen from a group of 10 Starfleet officers. How many different ch
zepelin [54]

Answer:

10C1 *9C1*8C1 = 10*9*8=720

Step-by-step explanation:

For this case in order to select the one admiral, captain and commander, all different. We are assuming that the order in the selection no matter, so we can begin selecting an admiral then a captain and then a commander.

So we have 10C1 ways to select one admiral since we want just one

Now we have remaining 9 people and we have 9C1 ways to select a captain since we want a captain different from the admiral selected first

Now we have remaining 8 people and we have 8C1 ways to select a commander since we want a commander different from the captain selected secondly.

The term nCx (combinatory) is defined as:

nCx = \frac{n!}{x! (n-x)!}

And by properties nC1= n

So then the number of possible way are:

10C1 *9C1*8C1 = 10*9*8=720

If we select first the captain then the commander and finally the admiral we have tha same way of select 10*9*8=720

For all the possible selection orders always we will see that we have 720 to select.

5 0
3 years ago
Read 2 more answers
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