Victor purchased motor oil for $2 a bottle and car wax for $4 a bottle. The inequality 2x + 4y < 16 can
be used to determine the number of bottles of motor oil, x, and the number of bottles of car wax, y,
Victor purchased for less than $16, not including tax. Which of the following ordered pairs best
represents a reasonable combination of bottles of motor oil and car wax that Victor could have
purchased?

Answer:

[tex]y = \frac{1}{2} x + 3[/tex]

Step-by-step explanation:

Remember that:

[tex]Slope \: = \frac{rise}{run} [/tex]

Answer:

½x+3

Step-by-step explanation:

slope = rise/run plus y-intercept

Answer:

Step-by-step explanation:

Given the expression:

x³(x−y)⁷−y³(x−y)⁷

This can also be written as (x³-y³)(x-y)⁷

(x³-y³)(x-y)⁷=  (x-y)⁷ (x³-y³)

Expand  (x³-y³)

x³-y³ = (x-y)(x²+xy+y²)

Substitute back into the original expression:

(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)

Comparing the result with (x−y)^m(x^2+y^2+nxy).

(x-y)⁸ = (x-y)^m

m = 8

Also:

nxy = xy

n = xy/xy

n = 1

Hence the value of m is 8

The value of m is 8

The expression is given as:

[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]

Factor out (x - y)^7 in the above expression

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]

Expand out (x^3 - y^3) as the difference of two cubes

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]

Combine the common factors

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]

Rewrite the expression as:

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]

The expression format is given as:

[tex](x-y)^m(x^2+y2^+nxy)[/tex]

So, we have:

[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]

By comparison, we have:

[tex]m = 8[/tex]

Hence, the value of m is 8

Read more about expressions at:

https://brainly.com/question/4344214

Answer:

20 percent

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Hope this helps :)

Answer:

its 7

Step-by-step explanation:

Answer:

p(Green and Sedan) = 1/3

Step-by-step explanation:

Total number of outcomes = 6

[Green-Sedan, Green-Sedan, Green-Truck, Purple-Sedan, Purple-Sedan, Purple-Truck]

Possible outcomes = 2

Probability = possible outcomes / total number of outcomes = 2/6 = 1/3

HOPE THIS HELPS YOU

Answer:

5/6= the first one

Answer:

21/100

Step-by-step explanation:

Answer:

x= 5 whole number and 2/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c fractions are confusing  :D,  put them all in 12th to make it easier

4/12,  -8/12,  -9/12,  -5/12,  1  3/12,  1  5/12

now stick them in order

-9/12,  -8/12,  -5/12 , 4/12 ,  1  3/12,  1  5/12

now put them back to reduced form

-3/4,    -2/3,    -5/12,   1/3 ,    1   1/4,   1 5/12  

:)  better?

Answer:

[tex]x\geq - \frac{16}{3}[/tex]

Step-by-step explanation:

x +2/2 ≥ -7 - x/2

= x ≥ -16/3 (sign doesn't change since you didn't divide by a negative number).

Ace Carlos

Answer:

[tex]x\geq \frac{-16}{3}[/tex]

Step-by-step explanation:

We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2

So,

cos 130 + cos 110 + cos 10

cos 130 + 2cos (110+10)/2 × cos( 110-10)/2

cos 130 + 2cos 60 × cos 50

cos ( 180 - 50 ) + 2cos60 cos 50

We know, cos ( 180 - A ) = -cos A

2cos 60 cos 50 - cos 50

Also, cos 60 = 0.5

2×0.5 cos 50 - cos50

cos 50 - cos 50

0  = RHS.

Hence proved

Answer:

It would start 2 squares across the line.

Step-by-step explanation:

hope this helps

have a great day!

please mark brainliest.

while I cannot flip it for you, you basically just have to see how many spaces each point is from the line, and then put the same letter on the other side and connect the shapes. Hope this helped!

Answer:

Where is the problem to solve?

Step-by-step explanation:

Answer:

637.5 I think it's right

Step-by-step explanation:

2,500x.04=100x3=300

2,500x.045=112.5x3=337.5

300+337.5=637.5 interest

2,500x2+637.5=5,637.5

Answer:

$5,612.16

Step-by-step explanation:

Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to A = P (1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have:

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

substitute in the formula above

A = 2,500 (1 + 0.04 * 3)

A = 2,500 (1.12)

A = $2,800

Part 2) Account II earns 4% interest compounded annually.

we know that    

The compound interest formula is equal to: A = P (1 + r/n)nt

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

n = 1

substitute in the formula above  

A = 2,500 * (1 + 0.04/1)3

A = 2,500 * (1.04)3

A = $2,812.16

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment:

$2,800 + $2,812.16 = $5,612.16

Answer: the paper is 8 inches

Step-by-step explanation: I'm sure the answer is 8.

Answer: 1/36

Step-by-step explanation: 18 x 18 = 324

3 x 3 = 9

9/324 = 3/108 = 1/36

Answer:

1/36! good luck! :D

Step-by-step explanation:

Answer:

51.3

Step-by-step explanation:

Formula For Tan: tan (angle) = opposite/adjacent

Opposite = 10

Hypotenuse = 8

tan (x) = opposite/adjacent

tan (y) = 10/8

y = tan⁻¹ (10/8)

y = 51.3401917459099

y = 51.3 (rounded)

Tip: tan⁻¹ is inverse of tan.

Therefore, y = 51.3

Hope this helped! <3

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps

Answer:

20m/s

Step-by-step explanation:

Given, s=400m

t=20s

Required, v=?

v=s/t

=400m/20s

=20m/s

Answer:

Hope this helps!

Step-by-step explanation:

Answer: The area of the shape is 90 ft.

Step-by-step explanation:

Draw a line so the shape looks like a triangle and small rectangle.

First, we have to find the area of the rectangle.

Area of rectangle: length x width

The rectangle has a length of 6 ft and a width of 3 ft.

Area of rectangle: 6 x 3 = 18 ft

Now to find the area of the triangle.

Area of triangle: 1/2 x base x height

The triangle's base: 15 - 3 = 12

The triangle's height: 6 + 6 = 12

Area of the triangle: 1/2 x 12 x 12

= 1/2 x 144 = 72ft

To find the area of the entire shape you have to add the area of the rectangle and triangle together.

Area of shape = Area of rectangle + Area of triangle

A of shape = 18 ft + 72 ft

The area of the shape is 90 ft.

Hope that helped!

Answer:

To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction. Multiplication and division.

Step-by-step explanation:

by it self.

Answer: (-2,6)

Step-by-step explanation:

Hope this helps ;)

Answer:

a positive querlashon  the lower they studied the lower grade they got  

Step-by-step explanation:

Answer:

Option D is the correct answer

Step-by-step explanation:

w = 35°based on the definition of vertical angles.

Answer:

72

Step-by-step explanation:

2x24=48

4/5≈1

1x24=72

so its 72

Answer:

9

Step-by-step explanation:

3×3=9

3+3+3=9

Yeeeeejsndnnsjx

Answer:

j = 96.4

Step-by-step explanation:

Step-by-step explanation:

j - 2.5 = 93.9

j=93.9+2.5

j=96.4