Let B be between a and C use the segment addition postulate to solve for W
AB= 4w-4
BC = 2w-8
AC = 24

A- w=10
B- w=6
C- w=4
D- w=-2

Answer:

3:8

Step-by-step explanation:

Answer: 3 to 8

Step-by-step explanation:

Since there are 8 red marbles and 3 blue marbles, the ratio of blue marbles to red marbles would be 3 to 8 or 3:8.

Hope this helped!! Have a great day :)

Answer:

Step-by-step explanation:

22+x = 34

34-22 = x

Answer:

A

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Answer:

what's the graph?

Step-by-step explanation:

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

Explanation:

Let's go through each of the answer choices to see which are true and which are false.

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

Choice A

The general slope intercept form is y = mx+b

m = slope and b = y intercept.

For y = 3x+1, the boundary line of the first inequality, the slope is 3.

For y = -x+2, the slope is -1.

None of the slopes are 2.

Choice A is false.

We'll use the concept of slope again in choice E.

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

Choice B

The "or equal to" part of the inequality sign is what directly determines the boundary line being solid. This is because we include points on the boundary.

Choice B is true.

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

Choice C

Plug x = 1 and y = 3 into the first inequality

\(y \le 3x+1\\\\3 \le 3(1)+1\\\\3 \le 3+1\\\\3 \le 4\\\\\)

The last inequality is true, so the first inequality is true when (x,y) = (1,3). This makes (1,3) a solution to \(y \le 3x+1\\\\\)

Repeat those steps for the other inequality given to us

\(y \ge -x+2\\\\3 \ge -1+2\\\\3 \ge 1\\\\\)

which is also true, so that makes (1,3) also a solution to \(y \ge -x+2\\\\\)

The point (1,3) is a solution to both inequalities at the same time, making it a solution to the system overall.

Choice C is true

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

Choice D

When y is fully isolated, the "less than" inequality indicates the shading is below the boundary. This is due to us considering points of y coordinates smaller than the boundary line. So we'll shade below the boundary for \(y \le 3x+1\\\\\)

We don't do the same for \(y \ge -x+2\\\\\). Instead, we'll shade above the solid boundary line.

Choice D is false.

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

Choice E

If two lines have equal slopes, but different y intercepts, then we have parallel lines. Parallel lines never intersect.

If on the other hand, the slopes are different values, then the two lines will intersect somewhere on the xy grid. There will only be exactly one point of intersection.

The given system has boundary lines of slopes 3 and -1, for the first and second inequality respectively. Refer back to choice A.  These differing slopes tell us that the boundary lines intersect somewhere.

Choice E is true

Let's go through all the options one at a time and look for the correct ones

Option 1: The slope of one boundary line is 2

We have 2 equations of lines, where the coefficients of are 3 and -1 respectively

because the coefficient of x denotes the slope of a line, we know that the lines have the slope 3 and -1, not 2

Hence, this option is Incorrect

Option 2: Both boundary lines are solid

In order for the boundary lines to be solid, the inequality must have an 'equal to', like ≤ (less than or equal to) or ≥ (greater than or equal to)

we can see that that's the case in our case and hence, this option is Correct

Option 3: A solution to the system is (1, 3)

To confirm this, we'll plug these coordinates into the given inequalities and see if it stands correct

y ≤ 3x + 1

3 ≤ 3(1) + 1

3 ≤ 4 which is correct because 3 is less than 4

Second equation:

y ≥ 2 - x

3 ≥ 2 - 1

3 ≥ 1

Which is also true because 3 is greater than 1

Now, we can say that (1 , 3) is a solution to the system because it satisfies both the equations and is Correct

Option 4: Both inequalities are shaded below the boundary lines

For an inequality to be shaded below the boundary line, it must have the ≤ inequality (in case of solid line) and < inequality (in case of dotted line)

because the second inequality listed includes the ≥ inequality, which was not mentioned above, it won't be shaded below

another way to think about it is that any 'greater than' inequality will shade everything above the line and the 'lesser than' inequality will shade below the line

which means that this option is Incorrect

Option 5: The boundary lines intersect

In order for the boundary lines to intersect, they must have have different slopes.

as we mentioned in the explanation of the first option, that the slopes of the lines is 3 and -1, which are different slopes

Therefore, this option is Correct

Answer:

$360

Step-by-step explanation:

12 months in a year

12 x 30 = 360

$360

Answer:

The total withdrawal is $360 dollars

Step-by-step explanation:

12 months in a year

30 * 12 = 360

$360

A simple path which visits all vertices can be found using a linear-time algorithm.

How to handle visited vertex is the issue.

The time complexity isn't really linear as you follow because of the many visits.

If not, the following straightforward example will show that your algorithm is flawed:

1 --> 2 -----------> 3 --> 4

       \         /

        --> 5 -->

After finding 1-2-3-4 in the initial search, the search returns to 2 and finds 1-2-5-3. Now that number 3 has been visited, the search halts and ultimately fails.

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Answer:

x ≥ -2 2/3

Step-by-step explanation:

multiply each side by x-4, you get:

3x + 8 ≥ 0

3x ≥ -8

x ≥ -8/3

Answer: Lets call the number x

decreased means subtraction.  If x is decreased bt 23% then the result is

x-23%(x)  =  x-(23/100)x    or x-.23x

x-.23x=539

.77x=539

x=539/.77

x=700

check:  700-.23(700)=539

           700-161=539

           539=539

           Our answer is correct

Step-by-step explanation:

hope this helps❤️❤️❤️

The perimeter is 166.9 ft.

Convert feet to inches to make it easier to calculate. The formula to find the perimeter is... 2(w+h)

once you get your answer, convert inches back to feet.

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Bella will put 10 spikes on each Beetlebot, since she has a total of 80 spikes and 8 Beetlebots.

A division sentence is a mathematical sentence that expresses the relationships between numbers, when the operation of division is being applied.

The total number of spikes Bella has is 4 packs x 20 spikes per pack = 80 spikes. She wants to put the same number of spikes on each of the 8 Beetlebots. Let's call the number of spikes she puts on each Beetlebot "x".

The division sentence that represents this situation is:

80 spikes ÷ 8 Beetlebots = x spikes per Beetlebot

Simplifying this division sentence, we get:

10 spikes per Beetlebot = x spikes per Beetlebot

Therefore, Bella will put 10 spikes on each Beetlebot, since she has a total of 80 spikes and 8 Beetlebots and wants to distribute the spikes evenly.

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Answer:

The two numbers are 52 and 12.

Step-by-step explanation:

x+y=64

x=16+3y

Now, substitute the second equation into the first one.

16+3y+y=64

16+4y=64

4y=48

y=12

Substitute 12 into one of the equations in order to find x.

x=16+3(12)

x=16+36

x=52

Answer:

2.8 x 10 ^ 12

Explanation:

If we expand out the expression given then we get

which can further be t

Answer:

This is an increase by 50%.

Step-by-step explanation:

The taxi company has 12 taxis originally, and then got 6 more to get 18. They added, so that is an increase.

18 / 12 = 1.5, so it is a 50% increase.

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Answer:

If the numbers at the bottom are the sack size, then the 255 and the 353.

They give enough candy but not excessive given the sizes.

If this isn't right I will continue to try to help you but ill need more info

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

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According to the given data we have the following function:

f(x)=3x-6

To determine f(8)​ we would have to plug in into the equation the 8 and then proceed to calculate it, so:

If f(x)=3x-6

Then, f(8)=3(8)-6

f(8)=24-6

f(8)=18

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

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Using the midpoint theorem, the length of AM is 43

From the question, we are to determine the length of AM

From the given information,

Point M is the midpoint of AB

Thus,

From the midpoint theorem

We can write that

AM + MB = AB

AM = MB

AM + AM = AB

2AM = AB

Also, from the given information,

AM = 2x + 9

and

AB = 8x - 50

Therefore,

From 2AM = AB  

2(2x + 9) = 8x - 50

Solve for x

2(2x + 9) = 8x - 50

4x + 18 = 8x - 50

18 + 50 = 8x - 4x

68 = 4x

x = 68/4

x = 17

But,

AM = 2x + 9

Substituting the value of x

Thus,

AM = 2(17) + 9

AM = 34 + 9

AM = 43

This means the length of AM is 43

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Answer:

Step-by-step explanation:

Inventory turn over is the same as the inventory turn over ratio. Inventory turn over is defined simply as the ratio of the cost of goods that was sold (net sales) to the average inventory at the selling price.

Inventory turn over = Cost of goods/average inventory

Cost of goods sold = $50000

Average inventory = beginning of inventory + ending inventory/2

Average inventory = $16000+$20000/2

Average inventory = $36000/2

Average inventory = $18000

Inventory turn over = $50000/$18000

Inventory turn over= 2.78

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer: D.

hope this helps

PQ/JK is congruent to PS/JL. Option D is the correct option.

What is the scalene triangle?

A scalene triangle is a triangle with three different side lengths and three different angle measurements. However, the sum of all the interior angles of the scalene triangle is unaffected by the various measurements. Scalene triangles satisfy the angle sum property of triangles because the sum of their three interior angles is always 180 degrees.

Given that △JKL and △PQS are two triangles.

Angle P is congruent to angle J.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

△JKL and △PQS are similar triangles if

1) angle K is congruent to Q

or,

2)  angle L is congruent to S

or,

3) PQ/JK = QS/KL = PS/JL

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Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

Hello! answer: 3/4

Step-by-step explanation:

9 ÷ 3 = 3 12 ÷ 3 = 4 then that is 3/4 and we can't reduce any further therefore 3/4 is the answer HOPE THAT HELPS

Answer:

Hello

Step-by-step explanation:

The domain is limited with 2 lines parallel: -1 ≤ x ≤ 1

and the disk ? (inside of a circle) of center (0,0) and radius 2

\(dom\ f(x,y)=\{(x,y) \in \mathbb{R} ^2 | \ -1\leq x \leq -1\ and \ ( -\sqrt{4-x^2} \leq \ y \leq \sqrt{4-x^2}\ ) \ \}\\\)