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kupik [55]
3 years ago
5

Name 2 decimals whose difference is 0.4

Mathematics
2 answers:
marta [7]3 years ago
6 0

Answer:

0.1 and 0.5

Step-by-step explanation:

11111nata11111 [884]3 years ago
4 0

Answer:

.8-.4=.4 and .12-.8=.4

Step-by-step explanation:

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If x=7and =-2, determine the value of 6x-4y
SVEN [57.7K]

Answer:

the answer is 50

Step-by-step explanation:

first you plug in the x and y in the equation, making it 6(7)=-4(-2)           then, you multiply the numbers together, making the equation 42+8.                                                    finally, you add those numbers together, giving you the answer 50

8 0
3 years ago
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Express 8 inches as a fraction of 3 feet in lowest terms
ArbitrLikvidat [17]
3 ft* 12 inches in a ft= 36 inches total

8/36= 2/9

Final answer: 2/9
7 0
3 years ago
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Jessica and Mike are making presentations for a class project. Jessica's slideshow starts with a verbal introduction that is 16
uysha [10]

Answer:

they both has 7 slides and the presentation had a duration of 28 seconds

Step-by-step explanation:

we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10

then we just solve for x

2x+16=3x+10

subtract 10 from each side

2x+6=3x

step 2 subtract 2x from each side

x=6

so both of their presentations are 7 slides long

then to find the length of their presentations we just plug in 6 to one of the equations

2(6)+16

2x6=12 12+16=28 so both of their presentations were 28 seconds

6 0
2 years ago
Let $s$ be a subset of $\{1, 2, 3, \dots, 100\}$, containing $50$ elements. how many such sets have the property that every pair
Tamiku [17]

Let A be the set {1, 2, 3, 4, 5, ...., 99, 100}.

The set of Odd numbers O = {1, 3, 5, 7, ...97, 99}, among these the odd primes are :

P={3, 5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}

we can count that n(O)=50 and n(P)=24.

 

 

Any prime number has a common factor >1 with only multiples of itself.

For example 41 has a common multiple >1 with 41*2=82, 41*3=123, which is out of the list and so on...

For example consider the prime 13, it has common multiples >1 with 26, 39, 52, 65, 78, 91, and 104... which is out of the list.

Similarly, for the smallest odd prime, 3, we see that we are soon out of the list:

3, 3*2=6, 3*3=9, ......3*33=99, 3*34=102.. 

we cannot include any non-multiple of 3 in a list containing 3. We cannot include for example 5, as the greatest common factor of 3 and 5 is 1.

This means that none of the odd numbers can be contained in the described subsets.

 

 

Now consider the remaining 26 odd numbers:

{1, 9, 15, 21, 25, 27, 33, 35, 39, 45, 49, 51, 55, 57, 63, 65, 69, 75, 77, 81, 85, 87, 91, 93, 95, 99}

which can be written in terms of their prime factors as:

{1, 3*3, 3*5, 3*7, 5*5,3*3*3, 3*11,5*7, 3*13, 2*2*3*3, 7*7, 3*17, 5*11 , 3*19,3*21, 5*13, 3*23,3*5*5, 7*11, 3*3*3*3, 5*17, 3*29, 7*13, 3*31, 5*19, 3*3*11}

 

1 certainly cannot be in the sets, as its common factor with any of the other numbers is 1.

3*3 has 3 as its least factor (except 1), so numbers with common factors greater than 1, must be multiples of 3. We already tried and found out that there cannot be produced enough such numbers within the set { 1, 2, 3, ...}

 

3*5: numbers with common factors >1, with 3*5 must be 

either multiples of 3: 3, 3*2, 3*3, ...3*33 (32 of them)

either multiples of 5: 5, 5*2, ...5*20 (19 of them)

or of both : 15, 15*2, 15*3, 15*4, 15*5, 15*6 (6 of them)

 

we may ask "why not add the multiples of 3 and of 5", we have 32+19=51, which seems to work.

The reason is that some of these 32 and 19 are common, so we do not have 51, and more important, some of these numbers do not have a common factor >1:

for example: 3*33 and 5*20

so the largest number we can get is to count the multiples of the smallest factor, which is 3 in our case.

 

By this reasoning, it is clear that we cannot construct a set of 50 elements from {1, 2, 3, ....}  containing any of the above odd numbers, such that the common factor of any 2 elements of this set is >1.

 

What is left, is the very first (and only) obvious set: {2, 4, 6, 8, ...., 48, 50}

 

<span>Answer: only 1: the set {2, 4, 6, …100}</span>

8 0
3 years ago
Write an equation of the line below.
atroni [7]

Answer:

y = 2/3 x

Step-by-step explanation:

slope = m = 4/6 = 2/3

y-intercept = b = 0

Equation: y = mx + b

y = 2/3 x

3 0
2 years ago
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