A 16-cup container of laundry detergent costs $13.60. What is the price per quart?

Given:

The inequality is:

[tex]y>2x-3[/tex]

The point is (3,3).

To find:

Whether the coordinate pair (3, 3) is a solution to the given inequality or not.

Solution:

We have,

[tex]y>2x-3[/tex]

Check the inequality for the point (3,3). Substituting [tex]x=3,y=3[/tex], we get

[tex]3>2(3)-3[/tex]

[tex]3>6-3[/tex]

[tex]3>3[/tex]

This is a false statement because 3 is not greater than itself.

Since (3,3) does not satisfy the given inequality, therefore (3,3) is not a solution to the given inequality.

Now we can check the solution graphically. From the graph it is clear that the point (3,3) lies on the boundary line.

The boundary line is a dotted line, it means the point on the boundary line are not included in the solution set.

Therefore, (3,3) is not a solution to the given inequality.

Answer:

$ 6,438.51

Step-by-step explanation:

75.36 X 36 = 2,712.96

82.79 X 45 = 3,725.55

2,712.96 + 3,725.55 = 6,438.51

Answer:

Its 108 because you have to split up the rectangles so when you cut them in half you will have 2 separate rectangles 1 with a base of 8 and a height of 9 so you will multiply those so 9 x 8 = 72 then just do the other two so 6 x 6 = 36 now you add those together 36 + 72 = 108 hope that helps

The Answer Is 108

Find the top length by adding 8+6=14

And the sides are the same length, meaning the sides are equivalent to 6.

6x14=84.

To find the sides for the the other rectangle, do 9-6 to get the side 3.

3x8=24

Add both areas to get 108 Inches Squared.

Answer:

y=11/3

Step-by-step explanation:

39 = 6(1) + 9y

39 = 6 + 9y

39 - 6 = 9y

33 = 9y

9y = 33/9

y = 11/3

Answer:

y = 11/3

Step-by-step explanation:

Sometimes it's just how things are written that makes them seem super hard.

R = 6x + 9y is the equation, and then they say what to sub in for x and R. So now we have:

39 = 6(1) + 9y

39 = 6 + 9y

subtract 6 from both sides

33 = 9y

y = 33/9, simplified to 11/3

Answer:

36

Step-by-step explanation:

Sean purchased a printer and laptop

He sold both for 1,500

He sold the laptop at 1,350

Therefore the cost of the printer can be calculated as follows

1500-1350

= 150

24/100×150

= 0.24×150

= 36

Henve the cost of the printer is £36

Answer:

3

Step-by-step explanation:

first of all, 8 pints=1 gallon

multiply 4 by the number of days which is 30 so you get 120. then divide by 8 (pints) to find the number of gallons. you come out with 15 gallons. each tank has 5 gallons, so 15 divided by 5 is 3.

Answer:

7x+19

Step-by-step explanation:

Answer:

Surface area for no.6 is =178

Volume =132

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Answer:

i think its X=108

Step-by-step explanation:

Answer:

x=118°

Step-by-step explanation:

a straight line is 180°

therefore 180-62=x

Answer: 1

Heres why: If you subtract the 1 from 2 you get 1

1 cc (cubic centimeter) refers to a unit of volume in the metric system. It is equal to one cubic centimeter, which is equivalent to one milliliter (ml).

The abbreviation "cc" is commonly used in medical and scientific contexts to represent small volumes, especially when measuring liquids or medications.

A cubic centimeter (cc) is a unit of volume that is commonly used in the metric system. It is equivalent to a cube with edges measuring one centimeter each. The cubic centimeter is often used to measure the volume of small objects or quantities of liquids.

To better understand the size of a cubic centimeter, it can be visualized as the volume occupied by a sugar cube or a small dice. It is a relatively small unit of volume, and larger volumes are typically expressed in terms of liters or cubic meters.

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Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

Answer:

I think the answer is option C. they are equal]

im not 100% on it tho

Step-by-step explanation:

Answer:

6,073.076

Step-by-step explanation:

Step-by-step explanation:

(50+100x70)/65+97-84x50

7050/6+97-4200

7050/6-4103

-51929/13

-3994.54

Hope that helps :)

Answer: Job catagory.

Answer:

Hello Love!

A good estimate would be 15 or 16 dollars left

Hope this helps!

Answer:

$15.98

Step-by-step explanation:

45.12-7.89=37.23

37.23-21.25=15.98

Answer:

0.421

Step-by-step explanation:

Just add the birds together and divide that into the number of blue jays so 59 blue jays / 140 total birds = 0.421....

Answer:

A. -1

Step-by-step explanation:

To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.

(3,1) (4,0)

3 - 4 = -1

1 - 0 = 1

-1 ÷ 1 = -1

-1 is the slope.

Answer:

4/11 (I think I'm not sure. I'm sorry if I'm wrong)

Step-by-step explanation:

Answer:

$4.29

Explanation:

$11.44 / 8 = $1.43

$1.43 x 3 = $4.29

Answer:

a) 83160

b) 12

Step-by-step explanation:

The prime factors of 840 are 2 x 3 x 5x 7*2*2

Prime factors of 8316 are 2*2*11*3*3*3

a) `Smallest whole number that is divisible by both 840 and 8316

We are supposed to find the LCM of the two numbers which is equal to

2*2*11*5*7*3*3*3*2 = 83160

b) Greatest whole number that will divide both both 840 and 8316

2*2*3 = 12

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Read more about trigonometry ratios at:

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Answer:

A/$73.01

Step-by-step explanation:

Step One (1) : 35% off of $96 is %63.03. (This removes option D)

Step Two (1) : $63.03+The Shipping Fee ($4.99)

Step Three (3) : Add the 9% Processing Fee

Step Four (4): The Answer is $73.01!

I hope this helps and I hope you have a great day!

Answer: QPR

Step-by-step explanation:

Angle A is congruent to angle Q

Angle B is congruent to angle P

Angle C is congruent to angle R

Therefore, triangle ABC is congruent to triangle QPR

Answer:

(x+4)x

Step-by-step explanation:

The factor of the expression into an equivalent form x² + 4x would be;  x(x + 4)

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression into an equivalent form x² + 4x

This expression could also be given by;

x² + 4x

Then factor out x we get;

x² + 4x =  x(x + 4)

Hence, the expression into an equivalent form x² + 4x would be; x(x + 4)

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