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sattari [20]
3 years ago
12

Which statement is always true? A.) The absolute value of an integer is equal to the opposite of the integer B.) a positive inte

ger is greater than a negative number C.) the absolute value of an integer is greater than zero D.) An integer is greater than its opposite
Mathematics
2 answers:
8_murik_8 [283]3 years ago
6 0

Answer:

a positive integer is greater than a negative number

Step-by-step explanation:

Let us consider each option one by one:

A.) Let us consider a counter example where the integer = 2

As per option A , abs(2) = -2

But this is incorrect. So option A is invalid.

B) Any positive integer is greater than 0

Any negative number is less than 0.

So, any positive integer is greater than a negative number.

C.) Let us consider an integer 0.

abs(0) = 0

But this is not greater than 0. So this option is not always valid.

D) Let us consider an integer -2.

Its opposite is 2.

But -2 < 2

So option D is invalid.

Ahat [919]3 years ago
3 0

Answer:

the absolute value of an integer is equation to the opposite of the integer

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A Geiger counter registers a count rate of 7,600 counts per minute from a sample of a radioisotope. Eighteen minutes later, the
ra1l [238]

Answer:

9 minutes is the half life of the radioisotope.

Step-by-step explanation:

Given;

initial count rate = 7,600 counts per minute

final count rate = 1,900 counts per minute

elapsed time, t = 18 minutes

The half life of the radioisotope is calculated as;

       Time (half life) --------------------------remaining count rate

                     0  ------------------------------7,600 counts per minute

                      x ------------------------------3,800 counts per minute

                     2x----------------------------- 1,900 counts per minute

thus, 2x = 18 minutes

x = 18 / 2

x = 9 minutes

Therefore, 9 minutes is the half life of the radioisotope.

6 0
3 years ago
Y times 3=9 y =what
Nezavi [6.7K]

Answer: 3 Y=3

Step-by-step explanation:

Y×3=9

3×3=9

You can also check this by rearranging it and dividing 9 by 3.

9÷3=3.

This works for any similar problem.

Example:

Y×4=12 Y=? Y=3

Rearrange it and divide 12 by 4.

12÷4=Y

12÷4=3

So Y×4=12 because 3×4=12

Hope this helps!

6 0
3 years ago
A red card is drawn from a standard deck of 52 playing cards. If the red card is
creativ13 [48]

Answer: 26/51

Step-by-step explanation:Half of the 52 cards are black, and if you remove the one red card there are only 51 cards left, so the answer is 26 lack cards/52 total cards.

8 0
3 years ago
Read 2 more answers
Tim's family is visiting Emeryville. They plan to see a movie and then explore the town. The
kap26 [50]

Answer. 4 hours

Step-by-step explanation:

48 + 8 + 8 + 8 + 8

$8 an hour and it $32  =4 hours and since they already using $48 for the movie if the they explore the town for 4 hours and then leave it will $80 in total spent

5 0
2 years ago
Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F
Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran  3\frac{1}{2}  laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find :  About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle :  2\pi r

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

2\pi *0.25

0.5\pi

Since \pi =3.14

⇒0.5*3.14

⇒1.57

Thus the circular track is of 1.57 miles .

Since she ran   3\frac{1}{2}  = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence ,  Francine run 5.495 miles


6 0
3 years ago
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