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vredina [299]
2 years ago
12

Hep with this please

Mathematics
1 answer:
pishuonlain [190]2 years ago
6 0

Answer:

x = 23

Step-by-step explanation:

6x+19+x = 180

7x = 180 - 19

7x =  161

x = 161/7

x = 23

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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
How long is a line of 1 million centimeter cubes be?
fenix001 [56]

Answer:

1m cm

10m mm

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write the equation in slope-intercept form. 4x+3y=18
Helen [10]

Answer:

y = -4/3x + 6

Step-by-step explanation:

1. 3y - 4x + 3y = 18 - 3y

2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. <u>-</u><u>3</u><u>/</u><u> </u><u>-3y = 4x - 18</u><u> </u><u>/</u><u>3</u>

5. y = -4/3x + 6

6 0
2 years ago
I need help with 14 and 15
bekas [8.4K]

Answer:

14: 9 + 5 ℎ

15: − 1 6 + 9/ 9

Step-by-step explanation:

14 : ℎ ⋅ 5 + ( 9 )

5ℎ+ (9)

^^ Re-order terms so constants are on the left

5ℎ+ ⋅ 9 also 5 ℎ+9  then after this you would wanna re arange the terms so it would be 9 + 5 ℎ

7 0
2 years ago
Niall owes $187 to his cousin. However, he doesn't have any money right now. He hopes to earn some money by painting a house. He
alexgriva [62]
The equation you would write would be:
2x+34=187<span />
3 0
3 years ago
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