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azamat
2 years ago
13

Solve the following equation. Enter your answer as an integer, decimal or fraction.​

Mathematics
1 answer:
Ad libitum [116K]2 years ago
7 0

Answer:

x = 5 or × = -7/2

Step-by-step explanation:

I hope you get it good luck.

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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
what is the greatest place value position where the digits differ? what does that mean if we use it in decimal?
Brums [2.3K]
The Tenths place because it's the first
6 0
3 years ago
$11.13-$5.50-$6.12=$10.51; $30- $10.51
MrMuchimi
What is the problem?? I would love to help
3 0
3 years ago
a kittens heartbeat can be as fast as 240 beats per minute . to find the number of times a kittens heart beats in 30 seconds , A
Alina [70]
I do not agree. If you divide 240 by 30, it would be 8 heartbeats, which is absurd. It's impossible for something to survive with 8 heartbeats per 30 seconds.
In order to get the CORRECT answer, divide 240 by 60 seconds.
This would give you 4 heartbeats per second.
Then, multiply it by 30 seconds, which would give you 120 heartbeats.

CORRECT answer: 120

5 0
3 years ago
use a graphing calculator to find an equation of the line of best fit for the data. Identify and Interpret the correlation coeff
d1i1m1o1n [39]

Answer:

Go to desmos.com/calculator

Step-by-step explanation:

It has a graphing calculator and it super easy to plug in.

3 0
3 years ago
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