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vivado [14]
3 years ago
7

Two fifths of the children in the nursery were boys. What was the ratio of boys to girls in the nursery?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0
The answer would be 2:3
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Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Igoryamba

Answer:

3:2

Step-by-step explanation:

I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!

4 0
3 years ago
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MZ2=<br> m23=<br> m24=<br> Help due today!!!
denpristay [2]
There is no picture or instructions. what do u need
8 0
3 years ago
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Area of a triangle is given by the formula A=1/2bh. The area of the triangle shown to the right is 56sq. units. Find its base an
Hunter-Best [27]
The area A of a triangle with base b and height h is given by A=1/2bh,find the area when b=28m(meters) and h=38m. The area is m
6 0
3 years ago
Ben made a model that was 5 3/4 inches tall. Laquisha made a model that was 70 11/12 inches tall. How many times as tall was Laq
tatyana61 [14]

Answer:

Her model is 37 times as tall as Ben's.

Step-by-step explanation:

70 11/12 ÷ 5 3/4

851/12 ÷ 23/4

851/12 x 4/23

37/1 x 1/1 = 37 times as tall

6 0
3 years ago
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