(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units

Plz help

Answers

Answer 1

Answer: Choice D

|-50-12| = |-62| = 62 units

================================================================

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

-------------------

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

-------------------

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.


Related Questions

The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.​

Answers

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 6 numbers is 10, then

[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

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Answers

Answer:

I think B .......................................

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A fair dice is rolled.
Work out the probability of getting a number more than 4.
Give your answer in its simplest form.

Answers

Answer: 1/3

Step-by-step explanation:

numbers more than 4 are: 5, and 6

so 2/6 chance of rolling a number greater than 4

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Answer:

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Answers

Answer:

8/5

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    = (10- -6)/(5 - -5)

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   = 16/10

   = 8/5

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Step-by-step explanation:

change in y ÷ change in x

(10--6)=16

(5--5)=10

16÷10=1.6

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Exponential
Quadratic

Answers

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42=3p

Answers

Answer:

14

Step-by-step explanation:

42=3p

42/3=3p/3

14=p

Which operation would be last when solving the inequality -5x + 9 < -6

Answers

Answer: divding both sides by -5

Step-by-step explanation:

Subtract 9 from both sides.

−5x+9−9<−6−9

−5x<−15

Step 2: Divide both sides by -5.

−5x/−5<−15/−5

x>3

An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
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C.120 cones
D.60 cones
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Answers

I think the answer is E

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Answers

Answer:

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Answers

Answer: C=5

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Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
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log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.

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Answer:

[tex]first \: answer \: is \: true[/tex]

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D Nonlinear negative association

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The answer is c because The higher the number the lower the dock goes which means it’s negative and it makes a line

Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
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b 12
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Answers

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

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A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.

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Answers

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Answers

Answer:

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The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
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Answers

Answer:

4.55 pounds

Step-by-step explanation:

From the above question , we are told that:

The relationship between the length and weight of certain sea turtles can be approximated by the equation

L = 0.55 W,

where

L is the length in feet

W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

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Answers

Answer:

10

Step-by-step explanation:

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Answer:

Hello There!!

Step-by-step explanation:

Median is ordering the numbers from smallest to biggest.

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Answers

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Answers

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Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

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Answers

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Answer:

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Step-by-step explanation: Sorry i copied other.

1. no sides are the same length.

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

Time spend in walking = 3.2 hour = 3¹/₅ hour

Step-by-step explanation:

Given:

Total time taken = 4 hour

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Time spend in walking

Computtaion:

We know that;

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Time spend in walking = 3.2 hour = 3¹/₅ hour

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Answers

Given:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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