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Alinara [238K]
3 years ago
15

Which expressions represent the distance between the two points?

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0
On the number line, the distance between negative 11 and positive 7 is <em>18 units</em>.

Choice A:  The absolute value of (-11 - 7) = absolute value of (-18) = 18.

Choice C:  The absolute value of [ 7 - (-11) ] = absolute value of (7+11) = 18.

'A' and 'C' are both the same number, and it's the correct answer to the question.
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Both Amy and Ed travel 100 miles to their destination. They begin at the same
Mandarinka [93]

Answer:

Since there are two cars, each car, then, drove 104/2 = 52 miles. But one car is traveling 8 miles per hour faster.

Step-by-step explanation:

6 0
3 years ago
A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you
djyliett [7]

Answer:

Added all together= 50

Black socks= 10

10/50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If I got 15 credits in i need 24 to graduate how many more i need
Olegator [25]

Step-by-step explanation:

I would have 9 to graduate

8 0
3 years ago
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How am i supposed to make a function? Number 15
Greeley [361]

Part A

<h3>Answer: T(n) = 58n+1800</h3>

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

Work Shown:

1800 = initial cost or starting cost

58*1 = 58 = cost for one person

58*2 = 116 = cost for two people

58*n = cost for n people

58n+1800 = total cost

58n+1800 = T(n)

T(n) = 58n+1800

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

Part B

<h3>Answer: D(T) = 0.85T</h3>

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

Work Shown:

T = total bill

15% discount means you still pay 85% of the bill (85%+15% = 100%)

D = discounted cost

D = 85% of T

D = 0.85*T

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

Part C

<h3>Answer: D(T(n)) = 49.3n + 1530</h3><h3>See attached image below for the table.</h3>

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

Work Shown:

We combine parts A and B.

T(n) = 58n+1800 from part A

D(T) = 0.85*T from part B

D(T(n)) = 0.85*( T(n) )

D(T(n)) = 0.85*( 58n+1800 ) ... plug in T(n) = 58n+1800

D(T(n)) = 0.85*( 58n+1800 )

D(T(n)) = 0.85*(58n)+0.85*(1800) ... distribute

D(T(n)) = 49.3n + 1530

If we plugged in n = 0, then,

D(T(n)) = 49.3n + 1530

D(T(0)) = 49.3*0 + 1530

D(T(0)) = 1530

Or we could plug n = 0 into T(n) to get T(0) = 1800

Then plug T = 1800 into D(T) = 0.85*T to get D(1800) = 1530

Either way you'll get the same answer.

Repeat this (using either method) for n = 50, 100, 150, 200 and you'll get the table of values you see below in the attached image.

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

Part D

The D( T(n) ) function allows us to find the discounted cost D for any number n of people that show up.

The input is n, where n is some positive integer less than or equal to 200 (because this is the reception hall's max capacity).

The output is the final discounted cost.

Example: n = 50 is one input which leads to its corresponding output of D( T(n) ) = 3995 as the table shows. So 50 people would have a discounted total cost of $3,995.

5 0
3 years ago
A radio station uses 1/6 of its time for news in a 12 hours day how many hours are used for news?
Verdich [7]

Answer:

2 hours

Step-by-step explanation:

we know that

To find the number of hours that are used for news, multiply the total time by the fraction 1/6

so

12(1/6)=2 hours

6 0
3 years ago
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