y > -x + 2
y < 3x - 2
Which graph represents the system of inequalities?
​

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61  (i)        

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

[tex]30\times (750x + 17y) 30\times 141.61\\\\[/tex]

after solve the above equation we will get

22,500x + 510y = 4248.3 (iii)

[tex]75\times (330x + 30y) = 75\times 75.90[/tex]

after solve the above equation we will get

22500x + 2250y = 5692.5 (iv)

After deducting the equation (iii) and (iv) we will get

1740 y = 1444.2

After Dividing by 15 both sides,

116y = 96.28

So, Katrina simplify the above system using linear equation and reach at the equation that is

116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by  Division of 116 to both sides of an equation, to get y:

[tex]\frac{116y}{116} = \frac{96.28}{116}[/tex]

y = 0.83

So, the natural gas is $0.83 per unit

Answer:

d

Step-by-step explanation:

Answer:

b-What is the average number of rainbows each year in Honolulu?

c-How many pedestrians would use a walkway built over a busy road?

d-How many police cars are equipped with computers?

this is the answer

Step-by-step explanation:

E D G E N U I T Y

The situations it is appropriate to use a sample:

B. What is the average number of rainbows each year in Honolulu?

C. How many pedestrians would use a walkway built over a busy road?

D. How many police cars are equipped with computers?

Simple random sampling is a sampling technique in which each member of a population has an equal chance of being chosen, through the use of an unbiased selection method.  The sample is chosen by a random method as every subject in the sample is assigned a number.

Sampling saves money by granting researchers to gather the same answers from a sample that they would receive from the population. Non-random sampling is significantly cheaper than random sampling because it lowers the cost associated with searchinh people and collecting data from them.

Learn more about Sample Techniques here

https://brainly.com/question/24466382

#SPJ2

Answer:

The base is 10cm. The other two sides are 20cm each

Step-by-step explanation:

I believe that "the base is twice shorter" means that the two equal sides of the iscosceles triangle are twice the length of the base.

Using the equation x + 2x +2x = 50 where x is the length of the base, we can simplify it to

5x=50. Then divide both sides by 5 to get the results:

x=10 for the base and

2x=20 for the other two sides.

Answer:

360°

Step-by-step explanation:

According to the properties of parallel lines, the following deductions can be made:

<a and <c are exterior angles of same side, therefore they are supplementary.

Thus,

m<a + m<c = 180°

<b and <d, are alternate interior angles, therefore, they are supplementary.

Thus, m<b + m<d = 180°.

The total numbers of degrees of a, b, c, d will all sum up to give 360°.

Answer:

Option (4)

Step-by-step explanation:

In the picture attached,

m∠NLM = m∠LKN = 90°

In two similar triangles ΔLKN and ΔMKL,

By the property of similar triangles,

"Ratio of the corresponding sides of the similar triangles are proportional".

[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]

By substituting the values given,

[tex]\frac{h}{3}=\frac{2}{h}[/tex]

[tex]\frac{2}{h}=\frac{h}{3}[/tex]

Therefore, Option (4) will be the answer.

Answer:

All numbers greater than 5, i.e., [tex]x>5[/tex] .

Step-by-step explanation:

The given inequality is  

[tex]80x>150+50x[/tex]

Isolate variable terms on one side to find the solution.

Subtract  50x from both sides.

[tex]80x-50x>150+50x-50x[/tex]

[tex]30x>150[/tex]

Divide both sides by 30.

[tex]\dfrac{30x}{30}>\dfrac{150}{30}[/tex]

[tex]x>5[/tex]

It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.

Answer:

3.92$

Step-by-step explanation:

The first step is to deduct 20% of 4.50 from 4.50.

20% of 4.50 is 0.2 x 4.50 = .90

4.50 - 0.90 = 3.60

That's the new price without the sales tax.

Now we need to add 9% of 3.60 to 3.60 to get the final cost.

9% of 3.60 is .09 x 3.60 = 0.32

3.60 + .32 = $3.92

Hope it helps.. If yes mark me BRAINLIEST

Tysm!

Answer:

$3.92

Step-by-step explanation:

Hello! For this question we need to gather up all the facts before we could answer it!

The original nail polish cost was $4.50

But the bottle was marked down by 20%

Then has a sales tax of 9%

So let's multiply 4.50 x 0.2 = 0.9

With that we need to subtract off of the original price because it is decreasing.

4.50 - 0.9 = 3.60

But that is not the final price because the bottle has a sales tax! We need to multiply the price after the 20% mark down, so, 3.60 x 0.09 = 0.324

And Then because we are dealing with money, we are going to make sure that we are only adding a decimal that goes up to the hundredths place.

Add: 3.60 + 0.32 = 3.92

The Final price of the nail polish that Dora bought would be $3.92. Which is actually a 0.58 cents drop!

I hope this helped!

Answer:

333 cars

Step-by-step explanation:

Assuming among 6 agents, the working efficiency is the same and constant. Fixing number of agents:

    6 agents can sell 333 cars in 3 months.

=> 6 agents can sell 333/3 cars in 3/3 month.

=> 6 agents can sell 111 cars in 1 month.

Fixing number of months:

=> 6/2 agents can sell 111/2 cars in 1 month.

=>  3 agents can sell 111/2 cars in 1 month.

Then considering that 3 agents worked in 6 months:

=> 3 agents can sell 6 x 111/2 cars in 6 x 1 months.

=> 3 agents can sell 333 cars in 6 months.

Answer:

Nearest ten

Step-by-step explanation:

Here, we want to know the highest value that can be attained if this number is rounded up to the decimal places given in the question.

The best way to go about this is rounding this number to each of the decimal places and see the one that has the largest value.

We proceed as follows;

Nearest hundred = 300

Nearest ten = 350

Nearest integer = 346

Nearest tenth = 345.7

Nearest hundredth = 345.67

It can be seen from all the above values that the highest value we have is the nearest ten

Answer:

3[tex]a^{4}[/tex] - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

= 3[tex]a^{4}[/tex] + 12a² - 12a² - 48 ← collect like terms

= 3[tex]a^{4}[/tex] - 48

Answer:

cos(−θ) = -4/5

Step-by-step explanation:

The correct question is as follows;

Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Solution as follows

Here in this question, we have that tanθ>0. what this means is that tan is positive here.

Now what do we notice about the value of the sin? For the negative angle to give a negative sin value, what this means is that the value of sin at the particular quadrant is positive, hence we can also conclude that sinθ>0

Now which quadrant do we have both sine and tangent positive? That is only the first quadrant.

Coincidentally, the value of cos here too is positive.

Since we are dealing with the first quadrant, we only need to find the value of theta.

Mathematically;

Sine theta = opposite/hypotenuse

Now ;

Cos theta = adjacent/hypotenuse

So therefore, to find the value of the adjacent , we need to employ the use of Pythagoras’ theorem

Mathematically, the square of the hypotenuse equals the sum of the squares of the adjacent and opposite

According to the values in this question

Adjacent = √(5)^2 -(3^2)

Adjacent = √(16) = 4

Thus ;

cos(−θ) = -4/5

Answer:

Linear symmetry.

Step-by-step explanation:

The word 'TOOT' can be reflected  in y-axis if a point (0,0) on cartesian plane divides the words' TO' and 'OT' equally.

Answer:

12√5

Step-by-step explanation:

6√5 + 6√5 = (6 + 6) * √5 = 12 * √5 = 12√5.

Answer:

12 [tex]\sqrt{5}[/tex]

Step-by-step explanation:

When you add the surds which are the same type, (both are root 5), just add the integers before them together.

Answer:

D

Step-by-step explanation:

You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.

Answer:

D.

Step-by-step explanation:

Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.

Gwen is reading 30 pages per day, so her slope will be 30.

D. y = 30x + 15 will be her equation.

Hope this helps!

Answer:

Step-by-step explanation:

Given the expression after 4 has been subtracted from both sides as

1/2 x = - 1/2 x, the original expression will be gotten by adding back 4 to both sides of the resulting expression as shown;

1/2 x + 4 = - 1/2 x + 4

x/2 + 4 = -x/2 + 4

Find the LCM of both equation;

(x+8)/2 = (-x+8)/2

Multiplying both sides by 2 will give;

x+8 = -x+8

Collecting the like terms;

x+x = 8-8

2x = 0

x = 0/2

x = 0

Hence, the value of x is 0

Answer:

0

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

25 cm in length, radius 3.5cm

Answer:

The maximum area of one square plot is 144 [tex]m^2[/tex]

Step-by-step explanation:

Start by looking at what are the greater common factor of both provided dimensions (840 and 396) to find what the numbers are they both can be divided by evenly:

[tex]840=2^3\,*\,3\,*\.5\,*\,7\\396=2^2\,*\,3^2\,*\,11[/tex]

therefore, both numbers can be divided by [tex]2^2\,*\,3=12[/tex]

Which then gives:

[tex]\frac{840}{12} =70\\\frac{396}{12} =33[/tex]

Then, one can divide the longest side (840 m) into 70 sections of 12 meters each, and the shortest side of the piece of land (396 m) into 33 sections of 12 meters each.

Then we can have a total of 33 * 70 = 2310 smaller lots of 12 m by 12 m

That is smaller plots of a total area 144 square meters

Answer:

200 teachers

Step-by-step explanation:

If 25% is a fourth of the teacher staff, and this value is fifty, to find out how many teachers there are you just have to multiply by 4 to find out the 100%. So this means that 50*4= 200

Answer:

Total teachers = 200

Step-by-step explanation:

Let x be the total teachers in school

Basic Maths teachers = 25 % of x

Basic Maths Teachers = 50

=> 25% of x = 50

=> [tex]\frac{25}{100} x = 50[/tex]

=> [tex]\frac{x}{4} = 50[/tex]

Multiplying both sides by 4

=> x = 200

Answer:

5 < 10x – 3

Step-by-step explanation:

The inequality is 5 - 2x < 8x - 3.

5 < 6x – 3 is incorrect because 8x + 2x = 10x, not 6x.

3x < 8x – 3 is incorrect because 5 - 2x is not 3x, you can't subtract those terms as they are not like terms.

5 < 10x – 3 is correct because 8x + 2x = 10x.

2 – 2x < 8x is incorrect because 5 + 3 = 8, not 2.

Answer:

C on edg

Step-by-step explanation:

Answer:

[tex]d = 8t[/tex]

Step-by-step explanation:

If you travel at 8 miles per hour, where t is the number of hours, then, using the formula [tex]d=rt[/tex] (r being the rate, in this case 8), the equation becomes [tex]d = 8t[/tex].

Hope this helped!

Answer:

3. 8.60 units

Step-by-step explanation:

Distance from point M(-2, 4) to point N(5, -1) can be calculated using the distance formula, [tex]d = \sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2}[/tex]

M(-2, 4) => (x1, y1)

N(5, -1) => (x2, y2)

Plug in the values into the formula

[tex] d = \sqrt{(5 - (-2))^2 + (-1 - 4)^2} [/tex]

[tex] d = \sqrt{(7)^2 + (-5)^2} [/tex]

[tex] d = \sqrt{49 + 25} [/tex]

[tex] d = \sqrt{74} [/tex]

[tex] d = 8.60 units [/tex]

Answer:

Step-by-step explanation:

Answer:

The domain is all values but x=4 and x=2

Step-by-step explanation:

f(x) = (x+1) / ( x^2-6x+8)

Factor the function

f(x) = (x+1) / ( (x-4) ( x-2))

The domain of the function is all values of x except where the function does not exist

This is where the denominator goes to zero

(x-4) ( x-2) =0

Using the zero product property

x-4 =0   x-2 =0

x=4   x=2

The domain is all values but x=4 and x=2

Answer:

Hey there!

This, is the graph of your function:

Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.

Hope this helps :)

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of [tex]\frac{1}2[/tex] to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

Area of a right angled triangle is given by:

[tex]A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units[/tex]

If scaled with a factor [tex]\frac{1}{2}[/tex], the sides will be 3, 4 and 5.

New area, A':

[tex]A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A[/tex]

i.e. Area becomes one fourth.

Sides be 8 and 10 units.

Area of a rectangle, A = [tex]Length \times Width[/tex] = 8 [tex]\times[/tex] 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 [tex]\times[/tex] 5 =20 sq units

So, [tex]\bold{A' = \frac{1}4 \times A}[/tex]

Now, we can apply the same in the given question.

[tex]\therefore[/tex] Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] Area of polygon C

Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] 40 = 10 sq units

Answer:

Step-by-step explanation:

10

Answer:

Andy's house to Billy's hometown 15 ways

Andy's house to Willie's hometown 2 ways.

Step-by-step explanation:

Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.

Answer:

Step-by-step explanation:

To find x we use cosine

That's

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is x

The hypotenuse is 28

So we have

cos 43 = x / 28

x = 28 cos 43

x = 20.477

x = 20 to the nearest tenth

Hope this helps you

Answer:

  (A) see the attachments

Step-by-step explanation:

The graph is constant from x=2 to x=10. This eliminates all descriptions except A, which is the correct one.

Answer:

77

Step-by-step explanation:

slope equation

Answer:

D. so you don't confuse properties of the model with properties of the real thing.

2-Mathematical and computer models are similar because both involve using calculation to represent an object or system

3- Some models can illustrate a system. What does the term system refer to

A. a collection of interacting things

4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy

5. An advantage of describing a cell as being like a factory is that it _____

A. makes cells easier to understand

6- C. cheaper and more complex

7-C. clearly explained where electrons were located in an atom

8-C. a physical model

9-B. can be easier to change

GOOD LUCK

Answer:

1kg of salami cost $9.1

Step-by-step explanation:

Hailey paid $13 for 1 3/7 kg of sliced salami.

What was the cost per kilogram of salami?

Cost of 1 3/7 kg of sliced salami=$13

1 3/7 kg=10/7kg

Let x=1 kg of sliced salami

10/7 kg of x=$13

$13=10/7x

13=10/7*x

x=13 ÷ 10/7

=13×7/10

=91/10

=9.1

x=$9.1

Therefore, 1kg of salami cost $9.1

Answer:

x = 18311.61 m

Step-by-step explanation:

It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,

[tex]\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}[/tex]

Let x is the distance between the bird and the nest

So,

[tex]\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m[/tex]

So, the distance between the bird and the nest is 18311.61 m.

Answer:

8,604

Step-by-step explanation: