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Ahat [919]
2 years ago
12

Can someone please do these for me?

Mathematics
1 answer:
Gennadij [26K]2 years ago
3 0
<h3>Part 1⤵️</h3>

\rm \: y = 100 + 65x \\  \rm y = 40  + 80x

\rm 100 + 65x = 40 + 80x

\rm \:  - 65x + y = 100 \\  \rm \:  - 80x - y =  - 40

\rm \:  x = 4

Now, Substitute the given value of x into the second equation

\rm y = 40 + 80 \times 4

\rm \:  y = 360

The possible solution of the system is the ordered pair (x,y)

\rm(x,y) = ( 4 ,  360 )

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

<h3>Part 2 is attached!!</h3>

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

<h3>Part 3⤵️</h3>

  • To solve this we will need to put the value of x as 3 in both equations and solve for y

\rm \: y = 100 + 65 \times 3 \\  \rm \: y = 40  +  80 \times 3

\rm \: y = 100 + 195 \\  \rm \: y = 295

\rm \: y = 40  + 240 \\  \rm \:  y=  280

Therefore, Amy's auto repair shop is cheapest...~

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Answer:

C and D

Step-by-step explanation:

1

The arc length is calculated as

arc = circumference of circle × fraction of circle

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

2

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{60}{360}

   = π × 10² × \frac{1}{6} = \frac{100\pi }{6} = \frac{50\pi }{3} cm² → D

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Step-by-step explanation:

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