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VARVARA [1.3K]
4 years ago
15

If x/9 < 2/5 and x is a positive integer, how many distinct values are possible for x?

Mathematics
1 answer:
SVEN [57.7K]4 years ago
4 0

Answer:

  3

Step-by-step explanation:

Solving the inequality gives ...

  x/9 < 2/5

  x < 18/5 . . . . multiply by 9

Applying the problem restrictions, we have ...

  0 < x < 3.6 . . . . . x is an integer

Solutions are {1, 2, 3}. There are 3 distinct possible values for x.

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1. The proceeds of a $7,500.00, 10 percent simple discounted note for 85 days is
Simora [160]

Answer:

  it depends (see below)

Step-by-step explanation:

<u>Exact Interest</u>

Exact interest is calculated on the basis of a 365-day year, so the exact interest on the loan would be ...

  I = Prt = $7500·0.10·(85/365) = $174.66

Then the proceeds would be ...

  $7500 -174.66 = $7,325.34 . . . . . matches first option

__

<u>Ordinary Interest</u>

Exact interest is calculated on the basis of a 360-day year, so the ordinary interest on the loan would be ...

  I = Prt = $7500·0.10·(85/360) = $177.08

Then the proceeds would be ...

  $7500 - 177.08 = $7,322.92 . . . . . matches last option

_____

I suggest you check your reference materials (text or course examples) to see what year length is expected to be used in this calculation. Some on-line references show it one way; others show it the other way.

8 0
4 years ago
David's bowling score is 6 less than 3 times Aaron's score. The sum of their scores is 214. Find the score of each student. Use
Alex

Step-by-step explanation:

Let aron's variable be = a

Let davids variable be( 6 less tan 3 times aron) = 3×a-6

Thier sum is =214

So,

3×a-6 + a = 214

3a -6 +a = 214

(transpose)

3a + a = 214 + 6

4a = 220

a = 220/4

a= 55

Thus,aron's score is = 55

And davids score is (3×a-6) = 3×55-6 = 159

Checking,

Aron score + david score = 214

55 + 159 = 214

SO, ITS CORRECT

HOPE IT HELPS :)

4 0
3 years ago
What is the answer for 4/5+1/2
Katena32 [7]
Answer - 4/5+1/2=5/7
3 0
3 years ago
Read 2 more answers
Round to the nearest whole number.
faltersainse [42]

Answer:

Step-by-step explanation:

4

3 0
3 years ago
P(S) = 5/8<br> P(T) = 1/8<br> If S and T are mutually exclusive events, find P(S or T),
Aleks04 [339]

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

  • P(S) = 5/8
  • P(T) = 1/8

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

              = 6/8

              = 3/4

6 0
2 years ago
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