If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.​

Answers

Answer 1

Answer:

III) (5, -1)

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

a - 5b - 3c = 8

We can try options, the obvious one is:

a = 0, b = - 1, c = - 1

In this case the line becomes:

0x - y - 1 = 0y = - 1

This gives us the point (5, - 1), the option III


Related Questions

John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3

B
4x6y10z

C
8x5y7z3

D
16x6y10z2

Answers

D [tex]\bold{16x^{6}y^{10}z²}[/tex]

Answer:

John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.

[tex](4x^{3}y^{5}z)²[/tex]

remenber that square is for all

and power is multiplied

[tex]4²x^{3*2}y^{5*2}*z²[/tex]

[tex]16x^{6}y^{10}z²[/tex]

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]

A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?

Answers

Answer:

The speed of the balloon is 0.16 m/s.

Step-by-step explanation:

CD = 300 m

Let AD = x

AB = y

time, t = 3 min

Triangle, ADC

[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]

Triangle, BCD

[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]

So, y = 109.2 - 80.4 = 28.8 m

Speed = 28.8/180 = 0.16 m/s

What is the domain of g(x)
X is a real number

Answers

Answer:

The doing would be x

Step-by-step explanation:

since you are calculating domain for a specific value it would be the corresponding g(x) value which is the domain

Last month, Nate spent 12 % of his paycheck on
car repairs and 25 % of the remainder on food.
He gave $ 1,320 of the remaining money to his
parents and then bought a computer on sale. If
the usual price of the computer was $ 825 and
the discount was 20 %, how much money did
Nate have in the beginning?

Answers

I think this is B…..

Nate had $3000 at the beginning.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

Let the original amount of money is P

Nate spent 12 % of his paycheck on car repairs

⇒ 12% of P = 12P/100

And he spent 25 % of the remainder on food.

⇒  0.25(88/100)P

He gave $ 1,320 of the remaining money to his parents

⇒ 1320  

If the usual price of the computer was $ 825 and the discount was 20 %

⇒ 825 - 0.20(825) = 660

P = 12P/100 + 0.25(88/100)P + 1320 + 660

P - 34P/100 = 1980

100P - 66P = 198000

P = 3000

Hence, Nate had $3000 at the beginning.

Learn more about the percentages here:

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What are the solutions to the equation 3(x – 4)(x + 5) = 0

Answers

Answer:

x=4

x=-5

Step-by-step explanation:

in order for this to be equal to 0, 1 or both of the factors has to be 0, because anything multiplied by 0 is 0.

123 * 29382 * 8139* 0 = 0

x-4 = 0

x = 4

x+5 = 0

x=-5

A student states that the translation of triangle ABC is A’B’C’. What measurements or properties of lines AA', BB', and CC' do you need to confirm that it is a translation? :D

Answers

If you can show that the following two items are true

AA' = BB' = CC'AA' || BB' || CC'

then you have shown that triangle A'B'C' is a translated or shifted copy of triangle ABC. In other words, they are the same triangle.

find the missing side lengths​

Answers

Answer:

b = 2√3

a = 4

Step-by-step explanation:

Here taking 60 as reference angle

so

tan60 = p/b

[tex]\sqrt{3}[/tex]    = p/2

so p = 2√3

so

b = 2√3

so

[tex]h^2 = p^2 + b^2\\h^2 = (2\sqrt{3})^2 + 2^2\\h^2 = 12 + 4\\h^2 = 16\\h = \sqrt{16} \\h = 4[/tex]

a = 4

I need help solving this

Answers

Answer:

E. 248

Step-by-step explanation:

1 to 500 in set A, 250 to 750 in set B

500 - 250 = 250

100 and 200 are divisible by 100.

250 - 2 = 248

10^12 X (5.0 x 10^8) X (3.33 x 10^0) =

Answers

Answer:

1.665e+21

Step-by-step explanation:

hope it help

make it as brininst

Answer:

[tex]10^{12}\left(5\cdot \:10^8\right)\left(3.33\cdot \:10^0\right)[/tex]

Exponent rule:  [tex]a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]10^{12}\cdot \:10^8\cdot \:10^0=\:10^{12+8+0}[/tex]

[tex]5\cdot \:3.33\cdot \:10^{12+8+0}[/tex]

Now, add 12 + 8 + 0 =20

[tex]=5\cdot \:3.33\cdot \:10^{20}[/tex]

Multiply 5 × 3.33=16.65

[tex]=10^{20}\cdot \:16.65[/tex]

Convert to decimal form

[tex]10^{20}=1.0E20[/tex]

Multiply

[tex]16.65\cdot \:1.0E20=1.665E21[/tex]

OAmalOHopeO

I really need help with this, please help me.

Answers

Answer:

See below.

Step-by-step explanation:

1. h

2. g

3. a

4. f

5. c

6. b

7. e

8. (17 * 5) * 2 = 17 * (5 * 2) = 17 * 10 = 170

9. 700 + 137 + 300 = 700 + 300 + 137 = 1137

10. $0.25 + $2.69 + $4.75 = $0.25 + $4.75 + $2.69 = $7.69

11. -8 + 57 + 18 = 18 - 8 + 57 = 10 + 57 = 67

12. 26 + 19 + 14 = 20 + 6 + 19 + 10 + 4 =

= 20 + 10 + 6 + 4 + 19

= 30 + 10 + 10

= 40 + 19

= 59

using trig to solve for missing angle

Answers

Sorry points ...I wish I could help

What type of line is PQ?

A. angle bisector
B. side bisector
C. altitude
D. median

Answers

Answer: Segment PQ is a median

Step-by-step explanation:

A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.

The segment PQ is a median.

A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.

What is the median?

The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.

This means segment PQ has to be a median for it meets the criteria of a median.

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Which angles are adjacent to each other?

Angle CHG and Angle HDL
Angle AEB and Angle DEA
Angle CHG and Angle HCE
Angle JCH and Angle CHG


Please make sure it's correct because one person once tried it and got it wrong..lol.​

Answers

Answer:

B

Step-by-step explanation:

Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.

That eliminates choices A, C, and D.

Answer: B

Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.

Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.

Mike and Ken shared some stamps. \frac{1}{5} 5 1 ​ of Ken's stamps were \frac{1}{3} 3 1 ​ of Mike's stamps. If Mike gave Ken 24 stamps, Ken would have thrice as many stamps as Mike. Find the number of stamps each of them had in the beginning.

Answers

Answer:

Mike had 72 stamps

Ken had 120 stamps

Step-by-step explanation:

Given

[tex]M \to Mike[/tex]

[tex]K \to Ken[/tex]

[tex]\frac{1}{5} * K = \frac{1}{3} * M[/tex]

[tex]K + 24 = 3 * ( M - 24)[/tex]

Required

Find K and M

Make K the subject in: [tex]K + 24 = 3 * ( M - 24)[/tex]

[tex]K = 3 * ( M - 24) - 24[/tex]

Substitute [tex]K = 3 * ( M - 24) - 24[/tex] in [tex]\frac{1}{5} * K = \frac{1}{3} * M[/tex]

[tex]\frac{1}{5} * [3 * ( M - 24) - 24] = \frac{1}{3} * M[/tex]

Open brackets

[tex]\frac{1}{5} * [3M - 72 - 24] = \frac{1}{3} * M[/tex]

[tex]\frac{1}{5} * [3M -96] = \frac{1}{3} * M[/tex]

Multiply both sides by 15

[tex]3* [3M -96] = 5 * M[/tex]

[tex]9M -288 = 5M[/tex]

Collect like terms

[tex]9M -5M= 288[/tex]

[tex]4M= 288[/tex]

Divide both sides by 4

[tex]M= 72[/tex]

Substitute [tex]M= 72[/tex] in [tex]K = 3 * ( M - 24) - 24[/tex]

[tex]K = 3 * (72 - 24) - 24[/tex]

[tex]K = 3 * 48 - 24[/tex]

[tex]K = 120[/tex]

Need help on #7 , #8 Asap

Answers

b and b,

first one 100-51= 49 so b

second one think of a big angle with a line through it, so it would be AB would be a combination of AC and BC


Answer:

7.b

8.b

NEED QUICK!!!

Describe the differences between a WiFi connection and a Cable connection when sending data on the internet. Respond in full sentences.

Answers

Answer:

they both connect to a tower of some sort but cable applies to channels of network and wifi applies the a wide web network.

Answer:

A WiFi connection transmits data via wireless signals, while an Ethernet connection transmits data over cable. ... An Ethernet connection is generally faster than a WiFi connection and provides greater reliability and security.

The corresponding edges of two similar containers are 56cm and 84cm.Find the ratio of the capacities

Answers

Answer:

8 : 27

Step-by-step explanation:

Given the ratio of sides of 2 similar objects = a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 56 : 84 = 2 : 3 , then

ratio of volumes = 2³ : 3³ = 8 : 27

Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ hai 25 đơn vị thì số thứ nhất bằng 2/3 số thứ 2

Answers

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

Solve the inequality 8 + n > 4.

Answers

Answer:

n>-4

Step-by-step explanation:

8+n>4

n>4-8

n>-4

Answer:

-4

Step-by-step explanation

Subtract 8 from 4 to get -4.

N = -4

God Bless.

58×62 without actual multiplication​

Answers

Answer:

3596

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

3596

Step-by-step explanation:

(58*10) = 580

580*6 = 3480

58 * 2 = 116

3480 + 116 = 3596

4x+3=x+9

What is the number?

X=?

Answers

Answer:x=3

Step-by-step explanation:

4x+3=x+9

4x-x=(-3)+9

3x=6

x=6:3

x=2

WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!!!!!!!!!!!
How many times will the digit '3' appear if we write all whole numbers from 1 to 9999?
100 point!!!!!!!!!!!!!!!!!
(Will report if answer is not mathematical)

Answers

Answer:

4000 times

Step-by-step explanation:

The numbers from 1 to 9999 can be shown in the form of:

3xyz, x3yz, xy3z. xyz3

Each of x, y, z represent the digits from 0 to 9, so 10 ways each.

For each of the forms we have:

10*10*10 = 1000 ways and

Total of:

1000*4 = 4000 ways

By the way this is applicable to any digit.

Max number of digits=4

Their can be 4ways to represent

Each form can repeat 3

(9999+1)/101000

Total repeating

1000(4)4000times

HURRYYYYYYYYYYYYYY PLZZZZ

Answers

Answer:

G

Step-by-step explanation:

you know its G just by the way it is

with work please and thanks

Answers

Answer:

Step-by-step explanation:

He bought a total of 5 tickets, some child, some adult. This is the NUMBER equation.

# of adult tickets + # of child tickets = 5 tickets

Now for the COST equation. Each child ticket costs $2, so the expression for that is 2c; each adult ticket costs $8, so the expression for that is 8a. He spend a total of $22:

$2c + $8a = $22

Money and the number of tickets are NOT THE SAME so they cannot be put into the same equation. They won't add or subtract because they're not like.

Your system is choice A

geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.


HELP ASAP!!
THANKS IF YOU DID!!

Answers

Answer:

A = 5.6 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 h( b1+b2) where h is the height and b1 and b2 are the lengths of the bases

A = 1/2 (2) (4+1.6)

A = 1(5.6)

A =5.6 m^2

Answer:

Step-by-step explanation:

b1 = 4 m   ; b2= 1.6m ; h = 2m

[tex]A =\frac{1}{2}h(b_{1}+b_{2})\\\\=\frac{1}{2}*2(4+1.6)\\\\=\frac{1}{2}*2*5.6\\\\=5.6 m^{2}[/tex]

Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.

K(6, 4), L(-6, 4)

Answers

9514 1404 393

Answer:

  y = 4

Step-by-step explanation:

The given points are on the horizontal line ...

  y = 4

This is the standard-form equation of that line.

On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.

Answers

Answer:

380

Step-by-step explanation:

This is a bit nasty. It depends on how you read the 20 miles more and what you do with it. The best and most careful way to do it is do it a long way setting up the two equations carefully.

Second day

Let the time travelled = t

Let the speed travelled = 60 mph

d2 = 60*t

First Day

40*(t + 2) = d1

but d1 = d2 + 20 because he travelled 20 miles further on d1

40 * (t + 2) = d2 + 20

d2 however = 60*t

40*(t+2 ) = 60*t + 20          Remove the brackets

40t + 80 = 60t + 20           Subtract 20 from both sides

40t + 60 = 60t                   Subtract 40t from both sides

60 = 20*t                           Divide by 20

t = 60/20

t = 3 hours.

Day 2 = 60 + t = 180

Day 1 = 40*5  = 200

Total distance = 380

Where did that 20 miles go? It was just an observation about the difference in distance travelled between the 2 days.

The total distance the driver traveled in the two days is 260 miles

From the question, on the first day, the driver was going as a speed of 40 mph.

Let s be speed

∴ [tex]s_{1}= 40mph[/tex]

On the second day, he increased the speed to 60 mph

∴ [tex]s_{2}= 60mph[/tex]

From the statement- If he drove 2 more hours on the first day

Let time be t

Then

[tex]t_{1}= t_{2} + 2[/tex] hrs

and traveled 20 more miles

Let d be distance  

Then,

[tex]d_{1}= d_{2} + 20[/tex] miles

From the formula

Distance = Speed × Time

Then,

[tex]d = s \times t[/tex]

∴ [tex]d_{1} = s_{1} \times t_{1}[/tex]

From above,

[tex]d_{1}= d_{2}+20[/tex] miles

[tex]s_{1}= 40mph[/tex]

[tex]t_{1}= t_{2} + 2[/tex] hrs

Putting these into

[tex]d_{1} = s_{1} \times t_{1}[/tex]

[tex]d_{2} + 20 = 40\times (t_{2}+2)[/tex] ...... (1)

But,

[tex]Time = \frac{Distance}{Speed}[/tex]

∴ [tex]t_{2}= \frac{d_{2} }{s_{2} }[/tex]

From above, [tex]s_{2}= 60mph[/tex]

∴ [tex]t_{2}= \frac{d_{2} }{60}[/tex]

Put this into equation (1)

[tex]d_{2} + 20 = 40\times (t_{2}+2)[/tex]

[tex]d_{2} + 20 = 40\times (\frac{d_{2}}{60} +2)[/tex]

[tex]d_{2} + 20 = \frac{2}{3}d_{2} +80\\d_{2} = \frac{2}{3}d_{2} +80-20\\d_{2} = \frac{2}{3}d_{2} +60[/tex]

Multiply through by 3

[tex]3\times d_{2} = 3\times \frac{2}{3}d_{2} +3 \times 60\\3d_{2} = 2d_{2} + 120\\3d_{2} -2d_{2} = 120[/tex]

∴ [tex]d_{2} = 120[/tex] miles

∴The distance traveled on the second day is 120 miles

For the distance traveled on the first day,

Substitute [tex]d_{2}[/tex] into the equation

[tex]d_{1}= d_{2}+20[/tex] miles

∴ [tex]d_{1}= 120+20[/tex]

[tex]d_{1}= 140[/tex] miles

∴ The distance traveled on the first day is 140 miles

The total distance traveled in the two days = [tex]d_{1} + d_{2}[/tex]

The total distance traveled in the two days = 120 miles + 140 miles

The total distance traveled in the two days = 260 miles

Hence, the total distance the driver traveled in the two days is 260 miles

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The height of a basketball thrown by a 6 foot tall man follows a path defined by the function h(x)= -0.5^(2)+3x+6, where x is the horizontal distance from where it is thrown. How far away from the basket should the player stand in order for the ball to go in the basket (10 feet high) on its way down? Show all work.

Answers

Given:

The height of a basketball is given by the function:

[tex]h(x)=-0.5x^2+3x+6[/tex]

where x is the horizontal distance from where it is thrown.

To find:

How far away from the basket should the player stand in order for the ball to go in the basket (10 feet high) on its way down.

Solution:

We have,

[tex]h(x)=-0.5x^2+3x+6[/tex]

Putting [tex]h(x)=10[/tex], we get

[tex]10=-0.5x^2+3x+6[/tex]

[tex]10+\dfrac{1}{2}x^2-3x-6=0[/tex]

[tex]\dfrac{1}{2}x^2-3x+4=0[/tex]

Multiply both sides by 2.

[tex]x^2-6x+8=0[/tex]

Splitting the middle term, we get

[tex]x^2-4x-2x+8=0[/tex]

[tex]x(x-4)-2(x-4)=0[/tex]

[tex](x-2)(x-4)=0[/tex]

[tex]x=2,4[/tex]

In the given function the leading coefficient is negative, so the given function represents a downward parabola. It means, first the function is increasing after that the function is decreasing.

So, the value of the function is 10 at [tex]x=2[/tex] (its way up) and at [tex]x=4[/tex] (its way down.

Therefore, the player should stand 4 units away from the basket in order for the ball to go in the basket (10 feet high) on its way down.

NEED HELP! What is the equation of the axis of symmetry?
A) x=-4
B) x=4
C) y=4
D) y= -4

Answers

b) x=4
if you look at the vertex (4,-1) and draw an imaginary line going through that point, you will see that it goes through x when it equals 4.

plzz any help please​

Answers

Answer:

9

Step-by-step explanation:

If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.

Now, we have to find the value of

[tex]4\tan^2(45)[/tex]

and

[tex]5\tan(45)[/tex]

The tangent of 45 is 1, so 1 squared times 4 is 4.

We have [tex]4\tan^2(45) = 4[/tex].

Again, the tangent of 45 is 1, and 1 times 5 is 5.

We have [tex]5\tan(45) = 5[/tex]

5 + 4 = 9

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During one of their games, John began running from first to second base. As he pushed off to start running, John heard a pop and felt a sharp pain in his right calf as though he had just been kicked in the back of his leg. John fell to the ground and experienced significant pain when putting weight on his right leg. John tried to walk but had to be carried off the field and was taken to the emergency department. At the hospital, it was noted that John had significant swelling at the back of his right leg, had a palpable and visible deformity in the distal calf, and was only able to put small amounts of weight on his right leg. The emergency doctor squeezed the back of Johns right calf and noticed that the ankle would not plantarflex. An x-ray and blood work were ordered which came back without any significant findings.Case Study Questions:1. Explain the possible anatomical structures that were affected by the injury and how each relates to Johns presenting symptoms and test results2. Identify and explain three differential diagnoses (diseases or conditions that present similar signs and symptoms that could possibly account for the patient's symptoms) with appropriate justifications. After describing your three differential diagnoses, indicate the most likely diagnosis based on your analysis and provide rationale and support for your selection. 3. From an anatomy point of view:a) Propose a management plan for the most likely diagnosis. This should include the treatment options you would implement given your patient's presenting symptoms. You should provide short- and long-term goals for the patient and a timeline on when you would implement each treatment. There may be several possible treatments you could prescribe to your patient. Include support, justification, and evidence for your prescribed treatment(s) and management plan. b) Explain the effects of your management plan for your patient's condition. From the management plan you've proposed, what effects will each treatment have on the patient's anatomy? Include any positive and negative effects this plan may have on the patient. In 2003, the fraudulent accounting practices at ____________, a Houston-based energy company, was the largest of several business scandals of the early 21st century, in which corporate executives inflated company revenues for self-gain and ultimately created widespread distrust of corporate culture, costing investors billions of dollars as well as employees their pensions. This one is really confusing me 2. Its the first time that I have ever talked to a foreigner. => I have ................................... 1. Hoa's mother always ( remind) her (feed )the chickens before (leave) for scholl2.how many conferences (organize) next year?3. when alex came to class late , he quietly (walk)to his seat without (see) by the teacher4. the grass (water) at the moment5. you dont need (go)out now. you'd rather (stay) at home 6. mrs brown told her son (not forget) (ask) for his new teacher's phone number 7. mr smith (say((be)a good engineer in this company8. this tradition (pass down) from generation for centuries A solution of the primary standard potassium hydrogen phthalate (KHP), KHC8H4O4 , was prepared by dissolving 0.4877 g of KHP in about 50 mL of water. Titration of the KHP solution with a KOH solution of unknown concentration required 38.91 mL to reach a phenolphthalein end point. What is the concentration of the KOH solution Which expression is equivalent to 10k + 17 - 7j - 18 - 11k? A. -8jk - 1 B. -7j - k - 1 C. -7j+k+1 D. -8j - k Please help me anyone For the triangle shown, what are the values of x and y?60306Select the correct answer.O x = 2V3, y = 473O x= 3V3, y = 6/3O x = 6/3, y = 12O x = 6V3, y = 1273 Yeah I dont know this if 7/12 has the same value as a fraction x/60.say what number is x? Help me solve this pls Michael wants to buy an efficient Smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the highway. The car that Michael picked out costs $18,560. His dad agreed to purchase the car if Michael would pay it off in equal monthly payments for the next 64 months. The equation y= - 290x +18,560 represents the amount, y(in dollars), that Michael owes his father after x months.(a) How much does Michael owe his dad after 3 months?(b) Determine the slope of the line and interpret its meaning in the context of this problem. (c) Interpret the meaning of the slope in the context of this problem.The amount Michael owes his father increases or decreases by ___ per month.