For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
a. Yes; y = 1.2x
b. Yes; y = 2x
c. Yes; y = x + 1
d. no; y does no vary directly with x.

Answer:

a. the approximate revenue from licenses in 1990 was $10,101.10 million.

b. The function is x = 10,101.10 + 499.79y

c. The revenue from licenses in 1999 is $14,599.21 million.

Step-by-step explanation:

The amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of 499.79 million dollars per year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses.

a: what was the approximate revenue from licenses in 1990?

b: write an equation that gives the revenue as a function of the number of years since 1990.

c: find the revenue from licenses in 1999.

a: what was the approximate revenue from licenses in 1990?

This can be calculated using the following function:

x = a + by  ............................... (1)

Where;

x = Amount brought in 2000 = $15,099 million

a = Amount brought in 1990 = ?

b = Amount of relative constant rate of increase = $499.79 million

y = Number of years between 1990 and 2000 = 10

Substituting the values into equation (1) and solve for a, we have:

15,099 = a + (499.79 * 10)

a = 15,099 - 4,997.90

a = $10,101.10 million

Therefore, the approximate revenue from licenses in 1990 was $10,101.10 million.

b: write an equation that gives the revenue as a function of the number of years since 1990.

Using equation (1) in part a above, we substitute the values for a and b to obtain an equation that gives the revenue as a function of the number of years since 1990 as follows:

x = 10,101.10 + 499.79y ....................... (2)

c: find the revenue from licenses in 1999.

Since 1999 is 9th year from 1990, we therefore substitute y = 9 in equation (2) as follows:

x = 499.79 + 10,101.10y

x = 10,101.10 + 499.79(9)

x = 10,101.10 + 4,498.11

x = $14,599.21 million

Therefore, the revenue from licenses in 1999 is $14,599.21 million.

Answer: (5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression .

5p^3-10p^2+3p-6

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2 +3)(p-2)

Hence, the factored form of  is

Answer:

(p-2)(5p^2+3)

Step-by-step explanation:

see the image

Answer: See explanation

Step-by-step explanation:

Let the amount of money to be paid per month be represented by x. The information given in the question can then be formed into an equation as:

$40 + 12x = $460

From the equation, the amount that'll be paid monthly will be:

$40 + 12x = $460

12x = $460 - $40

12x = $420

x = $420/12

x = $35

The amount paid monthly is $35

Answer:

Shoyo here!

Step-by-step explanation:

1.22222222222

hehe, that's a long number- have a nice day! <3

Step-by-step explanation:

hugs did ta don't think she knows what that was you baby girl so ti you but I'm not sure what you mean 4buy64g7gugugguvbb Jo is my first year of my first time doing your opinion how are ilocano or so I will get you a quote please let your opinion how much I love sorry na please ❣️❣️ you ❣️❣️❣️❤️ you

Answer:

D

Step-by-step explanation:

force = mass × acceleration

Answer: D

Step-by-step explanation:

Answer:

8r + 15 = x

Step-by-step explanation:

So being that they can form 6 rows but have 3 left over we know that there are more than three chairs in each row. So for example:

6r + 3 = x

or (x = chairs, r = chairs in the row)

8r + 15 = x

45

Step-by-step explanation:

45 +2=47

47-2=45

45×2=90

90÷2=45

Answer:

It is not equivalent.

Step-by-step explanation:

You have to expand the brackets :

(x-4)(x+3)

= x(x) + x(3) - 4(x) - 4(3)

= x² + 3x - 4x - 12

= x² - x - 12

Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.

Answer:

100

Step-by-step explanation:

5(23-3)

23-3= 20

5 × 20= 100

Answer:

No

Step-by-step explanation:

Because the constant of proportionality is not equivalent to 20,13.

Can I have brainliest?

Answer:

200

Step-by-step explanation:

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

Starting with 16 gallons and ending with 1 gallon means that Kate has used 15 gallons of gas. Burning 3 gallons per hour means her travel time was ...

  (15 gal)/(3 gal/h) = 5 h

Kate was driving for 5 hours.

Answer:

( 4 , -3)

Step-by-step explanation:

Rate me branliest please :)

Answer:

96.4

Step-by-step explanation:

Answer:

44 yards

Step-by-step explanation:

Answer:

wouldn't you just do 14 times 8? If so it would be 112 yards (i might be wrong tho..)

Answer:

X= 5

Explanation (Steps):

Step 1: Simplify both sides of the equation.

−3.4(x−2)=9.8−4x

(−3.4)(x)+(−3.4)(−2)=9.8+−4x(Distribute)

−3.4x+6.8=9.8+−4x

−3.4x+6.8=−4x+9.8

Step 2: Add 4x to both sides.

−3.4x+6.8+4x=−4x+9.8+4x

0.6x+6.8=9.8

Step 3: Subtract 6.8 from both sides.

0.6x+6.8−6.8=9.8−6.8

0.6x=3

Step 4: Divide both sides by 0.6.

0.6x0.6=3/0.6

x=5

Answer:

Y = 2x-4

Step-by-step explanation:

the anwser is, A

Step-by-step explanation:

-4-0

2-0

Answer: 4442000000

Step-by-step explanation:

Answer:

I know the answer but ill give you a hint all you do is subtract

Step-by-step explanation:

because it says how farthere

Answer:

A) a ratio system

B)The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.

Step-by-step explanation:

I hope this helps :)

-ㄚㄩ尺丨

Answer:

id say C if not sorry

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation: Thanks to the person  above me I got the  question right.

Answer:

5,d

6,e

7,b

8,f

9,c

10,a

Answer:

[tex]36 + h = 45[/tex]

[tex]h = 9[/tex]

Step-by-step explanation:

Given

[tex]Total = 45[/tex]

[tex]Fall = 12[/tex]

[tex]Spring = 2 * Fall[/tex]

Required

Determine the equation to find the hours (h) left

The sum of the hours spent during the fall, spring and the hours left must be equal to the total hours.

In other word;

[tex]Fall + Spring + h = Total[/tex]

Substitute 2 * Fall for Spring

[tex]Fall + 2 * Fall + h =Total[/tex]

Substitute values for Fall and Total

[tex]12 + 2 * 12 + h = 45[/tex]

[tex]12 + 24 + h = 45[/tex]

[tex]36 + h = 45[/tex]

The above represents the equation,

Solving further for h

[tex]h = 45 - 36[/tex]

[tex]h = 9[/tex]

Hence, there are 9 hours left

Answer:

X is 1 and y is 5

Step-by-step explanation:

Answer:

Surfaces, "Sunday Best"

Natalia Lafourcade, "La Malquerida" ...

Lil Mosey, "Blueberry Faygo" ...

Sada Baby, "Slide" ...

Zebra Katz, "In In In" ...

Jessie Reyez feat. ...

Halsey, "You Should Be Sad" ...

The Rolling Stones, "Living in a Ghost Town" ...

Surfin’ by SURAN

Gone by Rosé

Embarrassed by BTS

Candy by BAEKHYUN

This Night (feat. Blue.D & Jhnover) by GroovyRoom

W33D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply each set of coordinates by the scale factor [tex]\frac{1}{3}[/tex] , thus

(- 12, 3 ) →  [tex]\frac{1}{3}[/tex](- 12), [tex]\frac{1}{3}[/tex] (3) ) → (- 4, 1 )

(0, 6 ) → ( [tex]\frac{1}{3}[/tex] (0), [tex]\frac{1}{3}[/tex] (6) ) → (0, 2 )

(3, - 3 ) → ( [tex]\frac{1}{3}[/tex] (3), [tex]\frac{1}{3}[/tex] ( - 3 ) ) → (1, - 1 )

Answer:

384 16 times 24 is equal to 384

Step-by-step explanation:

You just have to multiply them. 16 times 24 is 384.

Answer:

.65 hope this helps :))

Answer:

118 fluid ounces in all.

Step-by-step explanation:

The answer 118 because 14.75 multiplied by 8 is 118.