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Tanya [424]
3 years ago
15

Which of the following are integers?

Mathematics
2 answers:
vivado [14]3 years ago
4 0
Answer: 100, 78, 35, 5 (all of them!)

Explanation: integers are any number what isn’t a fraction :)

Have a lovely day!
Ahat [919]3 years ago
4 0
100 78 35 5 all of them
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Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pe
Marina86 [1]

Answer:

17 pencils

Step-by-step explanation:

Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.

Tell me if I'm wrong :)

8 0
3 years ago
Read 2 more answers
А.
Marysya12 [62]

Answer:

24 ft^2

Step-by-step explanation:

Area of ABC=(1/2)*b*h

=(1/2)*8*6=24 ft^2

8 0
3 years ago
Read 2 more answers
A new piece of laboratory equipment costing $10,000 promises to save $4000 per year in materials and overtime pay. If the cost o
devlian [24]

Answer:

YES, the equipment should be purchased

Step-by-step explanation:

You borrow $10000 for the piece of laboratory and the cost of money is 12%. After 3 years you will need to pay the $10000 you borrowed and the extra amount caused by the interest. 12% of $10000 if $1200, so you will end up having to pay $10000+$1200 = $11200. In three years your equipment saves you $4000*3 = $12000, which is bigger than the amount you have to pay. So, in the end the equipment should be purchased because it gives you a gain of $800.  

6 0
3 years ago
Determine if line AB and line CD are parallel, perpendicular, or neither.
choli [55]

Answer:

AB and CD are parallel lines

Step-by-step explanation:

• Parallel lines have equal slopes

• The slopes of perpendicular lines are negative reciprocals

Calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)

m = \frac{8-4}{3-1} = \frac{4}{2} = 2

let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)

m = \frac{14-6}{3+1} = \frac{8}{4} = 2

Since slope of AB and CD are equal then lines are parallel


3 0
3 years ago
Read 2 more answers
What is the probability that random permutation of n numbers gets sorted after 1 pass of bubble sort
Len [333]

It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

According to the statement

we have to find the probability of random permutation of the N numbers.

So, according to the definition of A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable.

In this we order of select the objects randomly.

So, Let There are n−1 comparisons, so 2n−1 possible sequences of actions - swap or don't swap.

To find the permutations, start with 1,2,3,4,5 and undo a sequence.

For example, if let n=5, there are 24=16 out of 5!

which is 5! =120 that end after one round of bubble sort.

So, It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

Learn more about probability of a random permutation here brainly.com/question/14615273

#SPJ4

5 0
2 years ago
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