Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?


(3, 1)


(1, 3)


(2, –4)


(–4, 2)

The answers for the questions are:

1) The dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait.

4) He needs to trim 4.4cm of the height of poster

A rectangle is a quadrilateral with opposite sides equal and all angles 90°

Analysis:

1) since there are 3 photos per row, the spacing for the three photos are 4. Also since there are 3 photos on the column, the spacing would be 4

 width of poster = 2x4 + 3x12 = 8 + 36 = 44cm

  Height of poster = 4x2 + 3x16 = 56cm

2) possible combinations, are 8 picture on a row and 3 picture on a column

     width = 9spacing x 2cm + 8 pictures x 12 = 114cm

   length = 4 spacing x 2 + 3pictures x 16 = 56cm

   12 pictures on a row and 2 pictures on a column

     width = 13 spacing x 2cm + 12 pictures x 12 = 170cm

      length = 3 spacing x 2cm + 2 pictures x 16 = 38cm

    6 pictures on a row and 4 pictures on a column

      width = 7 spacing x 2cm + 6 pictures x 12 = 72cm

       length = 5 spacing x 2cm + 4 pictures x 16 = 74cm

    The smallest area is 74 x 72 = 5328 square centimeter

3.  For portrait,

     width = 6 photos x 12cm + 7 spacing x 2cm = 86cm

      length = 3 pictures x 16cm + 4 spacing x 2cm = 56cm

     For landscape,

     width = 6 photos x 16cm + 7spacing x 2cm = 110cm

      length = 3 pictures x 12cm + 4 spacing x 2 = 44cm

     The lesser poster area is portrait orientation with 86 x 56 = 4816 square centimeter.

4. Let the equal spacing be P

   for full width = 62cm

    4pictures x 12cm + 5 spacing x P = 62

   48 + 5p = 62

   5P = 62-48

   5P = 14

   P = 14/5 = 2.8cm

   length of poster using equal spacing of 2.8cm

   length would take 6 photos

   6 photos x 16 + 7 spacing x 2.8 = 115.6cm

   original length of poster is 120cm

  so he would need to trim  (120-115.6) = 4.4cm

In conclusion, The answers to the questions are:

1) dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait

4) He needs to trim 4.4cm of the height of poster

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If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tanisha's website had x visitors on Friday.

On Saturday, it had 500 more visitors than it did on Friday. That is x + 500

The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2

Then the total number of the visitors will be

→ Friday + Saturday + Sunday

Then we have

[tex]\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750[/tex]

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Answer: look at my work its 10 pi cm ^2

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Area of:

The large circle =  π r^2 = π * 10^2 = 100π

The small circle = π * 5^2 = 25π.

Answer:

The diameter is 16.8

Step-by-step explanation:

The diameter is double the radius.

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]

       r=8.4 in. What is the circle's diameter?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Since the radius is exactly one-half of the diameter, we multiply the radius times 2 in order to find the diameter, which results in:-

d(diameter)=16.8 in

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

So

And

sin47=0.73

cos47=0.68

So meanwhile sin is greater so 6sin is also greater

Answer:

Ship 2

Step-by-step explanation:

From inspection of the diagram, the problem has been modeled as a right triangle.  Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

To find [tex]x[/tex] use the sine trig ratio:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]

[tex]\implies x=6 \sin(47^{\circ})[/tex]

[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]

To find [tex]y[/tex] use the cosine trig ratio:

[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]

[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]

[tex]\implies y=6 \cos(47^{\circ})[/tex]

[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]

As 4.09 < 4.39, ship 2 is currently closer to the coast guard.

Answer:

here is your answer.

Step-by-step explanation:

total frequency is 24

                                    _____

Step-by-step explanation:

Answer:

[tex]5(x-2)^2[/tex]

Step-by-step explanation:

[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]

Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

The model for representing the ratio of the number of orange and green rolls are  [tex]\dfrac{3}{2}[/tex].

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

[tex]\dfrac{O}{G}=\dfrac{3}{2}[/tex]

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O   and  D=2G

3O=2G

Hence the models are  [tex]\dfrac{O}{G}=\dfrac{3}{2}[/tex]  and  3O=2G.

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Answer:

$127.32

Step-by-step explanation:

Selling price= $139.99

Sale discount= 15% = $139.99 * 0.15 = $21

Discounted price= $139.99 - $21 = $118.99

Sales tax added= 7% = $118.99 * 0.07 = $8.33

Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left

Answer:

16x^(4)-y^(4)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The mean would be 29 and the median would be 17

Step-by-step explanation:

Hope this helps! :)

3t=21

[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]

The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube

We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.

Of the given options, the only one that has a sample space of 24 elements is the first one.

Toss a coin twice and then roll a D6.

For each coin toss, the outcomes are 2 (tails and heads).

For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)

Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:

C = 2*2*6 = 4*6 = 24.

From this, we conclude that this is the correct option.

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Answer:

the correct ones are

2, Select a card from a set of cards with the letters A through D, then spin this  once.

5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

6, spin this and roll an 8-sided number cube with the digits 1 to 8.

Step-by-step explanation:

so basically both the colored wheel answers and the one with the coin and cube

plato 2022

Answer:

  125 meters

Step-by-step explanation:

The ball will hit the ground when its height is zero. Use that value for h in the equation, and solve for d.

__

  h(d) = -d²/125 +d . . . . the given equation

  0 = d(-d/125 +1) . . . . . use h=0, and factor out d

This equation is satisfied by values of d that make the factors zero:

  d = 0   ⇒   d = 0

  -d/125 +1 = 0   ⇒   d = 125

The horizontal distance to the landing point is 125 meters.

Answer:

I'm very sure it is B. The number of students who collected exactly 9 bottles.

Step-by-step explanation:

A is wrong because it does show the total amount of students.

C is wrong because it does show the amount of students that collected 3 or fewer bottles.

D is wrong because it does show the total number of students who collected 7 or fewer bottles.

So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.

Answer:

The answer your looking for would be B. "The number of students who collected exactly 9 bottles"

Step-by-step explanation:

I took the FLVS test.

x = 6

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

Now, we can substitute the expressions in the equation.

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

Next, add 33 to both sides

Then, subtract 7x from both sides

Finally, divide both sides 15

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

Then solve the equation

Since both sides are equal, the answer must be correct.

Answer:

  (b)  Subtract the total deductions from the gross pay

Step-by-step explanation:

The term "net pay" is applied to the pay after deductions are subtracted. It is also called "take-home pay."

The pay computed based on earnings, commissions, credits, and bonuses, before any deductions, is called the "gross pay."

  net pay = gross pay - deductions

Net pay is calculated by subtracting total deductions from gross pay.

The quadrilateral A and quadrilateral B are similar but not congruent. Then the correct option is A.

Any closed figure made by 4 line segments joined end to end in a series is called a quadrilateral.

If a polygon is four-sided (a quadrilateral), the sum of its angles is 360°

The figure below shows three quadrilaterals A, B, and C on a coordinate grid.

Then the quadrilateral A and quadrilateral C are similar and congruent too.

The quadrilateral A and quadrilateral B are similar but not congruent.

Similarly, the quadrilateral C and quadrilateral B are similar but not congruent.

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Answer:

61.8 feet to nearest tenth.

Step-by-step explanation:

USING THE PYTHAGORAS THEOREM:

55*2 = 21^2 + h^2  where h is the height of the top of the ladder from the ground.

h^2 = 55^2 - 21^2

      =  2584

h = √2584

   =  50.83 ft.

So the height of the building

= 11 + 50.83

= 61.83 feet.

Answer:

Ib = $16 per lb

Step-by-step explanation:

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]

[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]

Step-by-step explanation:

Angles in a triangle adds up to 180

180 - (25.5 +120.2) = 34.3

So, missing angle is 34.3 degrees

Hope this helps!

Answer:

(2,5)

Step-by-step explanation:

Since it is reflected across the y-axis only the x point will change and vise-versa

Answer:

20 square units

Step-by-step explanation:

Area of a parallelogram is calculated with the following formula:

b*h (b: base, h: height)

5*4 = 20 square units