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bekas [8.4K]
3 years ago
7

16+ greater or less than+19

Mathematics
2 answers:
saul85 [17]3 years ago
7 0
By 16+ do you mean positive 16 because if you do then it is less than 19+
Snezhnost [94]3 years ago
6 0
16 + is less than + 19.

Hope this helps !

Photon
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How many 3 digit numbers are possible when a) the leading digit cannot be zero and the number must be a multiple of 4?
guajiro [1.7K]

Step-by-step explanation:

I assume the digits can be repeated.

so, e.g. 555 is a valid number for this problem, right ?

that means we start with permutations with repetition :

n^r

n = the total number of items to pick from.

r = the number of items being picked per result.

we have 10 digits (0,1,2,3,4,5,6,7,8,9), and we pick 3 of them.

that gives us (with very little surprise, I hope)

10³ = 1000 different possible numbers from 000 to 999.

from these numbers we eliminate all with leading 0.

as we handled all digits the same way and with the same priority, there is the same amount of numbers for every digit in the leading position.

that means 1/10 of the total amount of numbers has a leading 0, or a leading 1, or a leading 2, ...

so, we need to subtract 1/10 × 1000 from 1000 :

1000 - 1000×1/10 = 1000 - 100 = 900

that would be the numbers 100 to 999.

and we have one more condition : the number must be a multiple of 4.

how many are there ?

well, that's the funny thing about numbers : from all numbers 1/2 of them are multiples of 2 (or divisible by 2), 1/3 of them are multiples of 3 (or divisible by 3), and ... you guessed it, 1/4 of them are multiples of 4 (or divisible by 4). and so on.

and so, 1/4 of our 900 numbers are multiples of 4 :

1/4 × 900 = 225

so, there are 225 possible 3-digit numbers that are multiples of 4 and do not start with a 0.

6 0
2 years ago
If we transform y=x^2 by 5 units to the left and 8 units ups, what is the vertex of the resulting parabola?
sertanlavr [38]

Answer: y = (x + 5)² + 8

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

y = x²

left 5 units:       y = (x + 5)²

up 8 units:        y = (x + 5)² + 8

7 0
3 years ago
Read 2 more answers
The pair of figures are simular.find the value of each variable
kkurt [141]
Y=12 because the triangles have proportional side lengths
5 0
3 years ago
187.36 -0.6 solve this ​
lisov135 [29]
Answer: 187.30

explanation for answer:
5 0
2 years ago
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mp
mash [69]

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

8 0
3 years ago
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