Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answer:

2x + 6 < 8 = x < 1

2x + 8 > 12 = x > 2

so, for the first one it's x < 1

and for the second one it's x > 2

Step-by-step explanation:

In a polygon, the size of the exterior angle next to the adjacent is 155°

Exterior angle:

Exterior angle means the angle between any side of a shape, and a line extended from the next side

Given,

In a polygon one interior angle is 25 degrees.

Here we need to find the exterior angle next to the adjacent.

In order to find the exterior angle, we have to do the following,

We know that each interior angle of the polygon is 25 degrees, so each exterior angle of the polygon is

=> 180 - 25

=> 155°

Therefore, the measure of the exterior angle is 155°.

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Answer:

Linear

Step-by-step explanation:

because it is in the form y=mx+c if rearranged

The time it takes is 12 hours to travel 5,160 Miles.

The time is take can be calculated as follows?

The first is calculate the speed of jet plane in miles/hour (mph)

= 1,290 / 3

= 430 mph

Next is to calculate the time is take to travel 5,160 by dividing the distance by the speed

= 5,160 / 430

= 12 hours

Thus, the time it takes is 12 hours.

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If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

The equation of the line as represented in the task content in fully simplified slope-intercept form is; y = -( 1/2 )x - 2.

It follows from the task content that the equation of the given line in slope-intercept form is to be determined.

As evident on the graph, the y-intercept and x-intercept of the line are; (0, -1) and (-2, 0).

Therefore, the slope can be determined from the slope formula as;

m = ( 0 - (-1) ) / (-2 - 0)

m = 1 / -2 = -1 / 2.

Therefore, by simulation of the slope-intercept model of the equation of a straight line; y = mx + c where, m = slope and c = y-coordinate of the y-intercept;

The equation of the given line is;

y = -(1/2)x - 2.

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The number of bottles that could be completely filled is: 30 bottles. Additionally, he has 0.72 liters of drink left. On the other hand, the total price of the music player and memory card is $96.25 (with tax).

To solve problem 1 we need to consider how much drink John got after mixing the honey water with the lemon juice.

Subsequently, we divide the total juice in quantities of 0.75 to obtain the number of bottles that we can fill, as shown below:

According to the above, 30 bottles of 0.75 liters can be filled and there would be a remaining 0.72 liters.

To solve problem 2 we must add the value with tax of the two products

Later, to find 10% of this value we must divide it by 100 and multiply the result by 10 as shown below:

Finally, we must add this value to the total value without tax ($87.5) to obtain the total value with taxes

$87.5 + $8.75 = $96.25

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Answer:

[tex]1.7\geq b[/tex]

Step-by-step explanation:

3.5>=b+1.8

-1.8.       -1.8

1.7>=b

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Answer: The value of x in ∆ ABC is

Step-by-step explanation: By AA similarity

x² = 4* 16

x = 8

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The probability of the event P(Yellow) is 37% , the correct option is (c) .

In the question ,

it is given that

number of green balls in the bag [tex]=[/tex] 15

number of yellow balls in the bag [tex]=[/tex] 18

number of orange balls in the bag [tex]=[/tex] 16

So , total number of balls in the bag = number of green balls + yellow balls + orange balls .

On substituting the values ,

we get

total number of balls = 15 +18 + 16 = 49

the probability of the event P(Yellow) = (number of yellow balls)/(total balls)

= 18/49

= 0.3673

= 36.73%

≈ 37%

Therefore , The probability of the event P(Yellow) is 37%  .

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Answer:

1/2 or 1/6

Step-by-step explanation:

a fair die has 6 possible outcomes:

1,2,3,4,5, or 6

probability of getting an even number is:

3/6 = 1/2 {as there are three possible even outcomes}

probability of getting 6 is:

1/6

The width has a value of  8 meters

The mathematical statement from the question is given as

Length of a rectangle is four more than twice its width.

Mathematically, this can be represented as

Length = 2Width + 4

The perimeter is given as

Perimeter = 56 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (2Width + 4 + Width) = 56

Divide by 2

2Width + 4 + Width = 28

This gives

3Width= 24

Divide by 3

Width = 8

Hence, the width is 8 meters

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Answer:

3/8

Step-by-step explanation:

hope it helps :)

Each corsages sell for $22. And Each boutonnieres sell for $21.

Brittany sold 12 corsages and 17 boutonnieres last year in total of $621.

And she sold 19 corsages and 16 boutonnieres this year for a total of $754.

First, we will create the system of equation from given information

So, the equations are

12x+17y=621..…(1)

19x+16y=754..…(2)

Where,

X=cost of one corsage

Y=cost of one boutonniere

Make y the subject of equation (1)

y=(621-12x)/17

Put this value of y in equation (2)

Therefore

19x+16((621-12x)/17)=754

19x+(9936-192x)/17=754

(323x+9936-192x)/17=754

131x+9936=12818

131x=12818-9936

131x=2882

x=2882/131

x=22

So, the cost of one corsage is $22.

Now, put this value of x in equation (1)

12×22+17y=621

264+17y=621

17y=621-264

y=357/17

y=21

The cost of one boutonniere is $21.

Thus, the cost of each corsages and boutonnieres are $22 and $21.

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The value of the given expression in the question, -[4.1-3(2.2)] / (0.2)² + 2       is 64.5.

What do you mean by expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

-[4.1-3(2.2)] / (0.2)² + 2

Using the BODMAS rule to simplify the given expression.

Given expression can be written as:

= -[4.1-6.6] / 0.04 + 2

= -[-2.5]/0.04+2

=2.5/0.04+2

=62.5+2

=64.5

Therefore, 64.5 is answer for expression  -[4.1-3(2.2)]/(0.2)^2+2.

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The time taken for the car and truck to meet is 36 minutes.

The time for the car and the truck must be the same.

distance:

Now,

Then trucks distance:

Time is:

Hence, the time taken for the car and truck to meet is 36 minutes.

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Answer:

Required

1. What is the break-even point in tickets?

2. How many tickets must be sold to earn a profit of $30,000?

3. How many tickets must be sold to earn a profit of $100,000?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did it, I know, can I have brainliest please?

The speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

Distance is defined as the product of speed and time.

Let the speed of the slower plane would be s

then (s+10) = speed of the faster

So time equation; time = dist/speed

130 / s = 135 / (s+10)

130(s+10) = 135s

130s + 1300 = 135s

135s - 130s = 1300

5s = 1300

s = 1300 / 5

s = 260

Since s = 260 mph is the speed of the slower plane

So, 270 mph is the speed of the faster.

Thus, the speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

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Answer:

240

Step-by-step explanation:

30 X 8

Answer:

Step-by-step explanation:

Answer:

7x + 8 is your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6 - \sqrt{25} }{4}[/tex] =

[tex]\frac{6-5}{4}[/tex] =

[tex]\frac{1}{4}[/tex]

a) In midday there is no change in the height of the water.

b) At 19.00 hours the height of water will decrease 1.5

Given,

The height of the water = h

Equation, h = 3sin(30t)°

t is the time in hours

a) We have to find the height of water in midday;

Midday = 12 noon

Now,

h = 3sin(30t)²

t = 12

Then,

h = 3sin(30 x 12)°

h = 3sin360°

h = 0

That is,

In midday there is no change in the height of the water.

b) We have to find the height of the water at 19.00

Now,

h = 3sin(30t)²

t = 19

Then,

h = 3sin(30 x 19)°

h = 3sin570°

h = -1.5°

That is,

At 19.00 hours the height of water will decrease 1.5

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Answer:

This triangle is obtuse and isosceles

Step-by-step explanation:

An obtuse triangle is a triangle in which one of the angles is greater than 90°. You can clearly see that angle NPO is greater than a right angle.

An isosceles triangle is a triangle in which two sides are equal and two angles are equal. Sides NP and PO are equal because they both measure 4m, which necessarily means that the angles opposite them are congruent (angles PNO and NOP).

Answer:

ΔNOP is obtuse triangle and isosceles triangle.

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90°.

An obtuse triangle is a triangle with one angle greater than 90°.

A right triangle is a triangle with one 90° angle represented by the symbol ∟.

From inspection of the triangle, it appears that angle P is greater than 90°, which means it is an obtuse triangle.

This can be confirmed by using the cosine rule to calculate angle P.

[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Cosine Rule (for finding angles)} \\\\$\cos(C)=\dfrac{a^2+b^2-c^2}{2ab}$\\\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides adjacent the angle. \\ \phantom{ww}$\bullet$ $c$ is the side opposite the angle.\\\end{minipage}}[/tex]

Therefore:

[tex]\implies \cos(P)=\dfrac{4^2+4^2-7^2}{2(4)(4)}[/tex]

[tex]\implies \cos(P)=-\dfrac{17}{32}[/tex]

[tex]\implies P=\cos^{-1}\left(-\dfrac{17}{32}\right)[/tex]

[tex]\implies P=122.08995...^{\circ}[/tex]

As 122.1° > 90°, this proves that triangle NOP is obtuse.

An equilateral triangle has three sides of equal length.

A scalene triangle has three sides of differing lengths.

An isosceles triangle has two sides of equal length.

Therefore, as NP = OP ≠ ON, the triangle has two sides of equal length and so it an isosceles triangle.

The value of Tan Y is 0. 8660

From the information given, we have that;

Now, let's determine the value of the adjacent side

cos θ = adjacent/ hypotenuse

cos 60 = adjacent/ 4

Adjacent = 2

Using Pythagorean theorem

4² = 2² + c²

16 - 4 = c²

c = √12

c = 3. 5

Tan Y = 3. 5/ 4

Tan  Y = 0. 8660

Hence, the value is 0. 8660

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Answer:b

Step-by-step explanation:

a) The points are given as follows: (3, 1028) and (8, 1488).

b) The rate of change is:

c) The interpretation of the rate of change is that it gives the yearly increase in the number of deers.

d) The equation is: y = 92x + 752.

e) The prediction for the year of 2000 is the intercept of the function, which is of 752 deer.

f) The prediction for the current year of 2022 is of 2776 deer.

The slope-intercept representation of a linear function is:

y = mx + b

The coefficients of the function and their meaning in the context of this problem are listed as follows:

Considering the reference year 2000 as year 0, the coordinate points of the function are given as follows:

(3, 1028), (8, 1488).

Given two points, the slope of the function is given by the change in the output divided by the change in the input, hence:

m = (1488 - 1028)/(8 - 3) = 92.

Hence the function is:

y = 92x + b.

When x = 3, y = 1028, hence the intercept b is obtained as follows:

1028 = 92(3) + b

b = 1028 - 92(3)

b = 752.

Then:

y = 92x + 752.

2022 is 22 years after 2000, hence the estimate for the number of deer is given as follows:

y = 92(22) + 752 = 2776.

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The given graph can be expressed as an equation of f(x) = -2cos(-x).

What is a graph of a trigonometric function?

In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).

The given graph is of a negative angle of a negative cosine.

So if we draw the graph of the negative angle of a negative cosine, the graph will pass through the origin, but

If we multiply 2 from the graph of the negative angle of a negative cosine then we will get the same graph as shown in the given figure.

So the equation would be f(x) = -2cos(-x).

Hence, the equation of the graph will be f(x) =  -2cos(-x).

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Answer:

7x + 2y = - 6

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - [tex]\frac{7}{2}[/tex] x - 3 ( multiply through by 2 to clear the fraction )

2y = - 7x - 6 ( add 7x to both sides )

7x + 2y = - 6 ← in standard form

Answers in bold

Type of angle pair is same-side interior angles. These angles are supplementary so x = 46 degrees.

=================================================

Explanation:

The angles shown are known as "same-side interior" or "consecutive interior". They are interior because they are inside the parallel train tracks. They are considered "same-side" because both are below the transversal line.

If the train tracks are parallel, then those same-side interior angles are supplementary. This means they add to 180 degrees.

x+134 = 180

x+134-134 = 180-134

x = 46