Solve 4|x-5| + 3 > 23. Show your work and graph the solution on a number line

Answer:

b = 5/4

Step-by-step explanation:

We need to find the solution of the following equation :

\(2b+\dfrac{1}{2}=3\)

Subtracting 1/2 both sides we get :

\(2b+\dfrac{1}{2}-\dfrac{1}{2}=3-\dfrac{1}{2}\\\\2b=\dfrac{5}{2}\)

Dividing both sides by 2 we get :

\(b=\dfrac{5}{4}\)

so, the value of b is 5/4.

Answer:

30°

Step-by-step explanation:

k and 30° are vertical angles

Therefore, k = 30°

Answer:

43.6 has 3 significant figures.

The number of messages Susan sent is 22, the number of messages Juan sent is 22 and the number of messages Hong sent is 68.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Susan, Hong, and Juan sent a total of 117 text messages over their cell phones during the weekend.

Let the number of messages sent by Susan be x.

Juan sent 5 fewer messages than Susan.

Number of messages Juan sent = x-5

Hong sent 4 times as many messages as Juan.

Number of messages Hong sent = 4(x-5)

Now, total messages = x+x-5+4(x-5)

⇒ x+x-5+4x-20=107

⇒ 6x-25=107

⇒ 6x=107+25

⇒ 6x= 132

⇒ x=22

So, x-5=17 and 4(x-5)=68

Therefore, the number of messages Susan sent is 22, the number of messages Juan sent is 22 and the number of messages Hong sent is 68.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Susan, Hong, and Juan sent a total of 107 text messages over their cell phones during the weekend. Hong sent 4 times as many messages as Juan. Juan sent 5 fewer messages than Susan. How many messages did they each send?

Answer:

The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they pass the health test, or they do not. Whether a child can pass the test is independent with the test result of other children. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

The probability for each child to pass the fitness test is 0.75

This means that \(p = 0.75\)

10 independent children

This means that \(n = 10\) Find the expectation and standard deviation of the number of children can pass the fitness test in a test session.

\(E(X) = np = 10*0.75 = 7.5\)

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.75*0.25} = 1.37\)

The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.

Answer: 48x^2 - 16x + 5

Step-by-step explanation:

No, the inference is not valid because it excluded those who were not online and so did not see the poll.

To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds

The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.

To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.

Find out more on polls at https://brainly.com/question/29829313

#SPJ1

Answer:

Y=2, E=9, A=1, R=0

Step-by-step explanation:

1000Y+100Y+10Y+Y-100E-10E-E+10A+A-R=1234

1111Y-111E+11A-1R=1234

Y cannot be 1, and it cannot be greater than 2, since the other digits could not possibly make it add up to 1234. This means that Y must be 2:

2222-111E+11A-R=1234

In this case, E would have to be 9 to make it possible for this to have a solution, by bringing it down to 1223.

1223+11A-R=1234

1223+11=1234, meaning that A must be 1 and that R must be 0. Hope this helps!

Answer:

The values of Y, E, A, R are "2, 9, 1, 0"

Step-by-step explanation:

The given equation is:

⇒  YYYY-EEE+AA-R=1234

Let the values,

Y=2

E =9

A =1

R =0

On substituting the estimated values in the L.H.S of the given equation, we get

⇒ 2222 - 999 + 11 - 0

⇒  1223 + 11

⇒  1234 i.e.. R.H.S

so ig Y.E.A.R will be 2 9 1 and 0

The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

Leans more about price on

https://brainly.com/question/1153322

#SPJ1

The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Answer:

5 x 5 = 25

20 + 5 = 25

50 ÷ 2 = 25

Step-by-step explanation:

Answer:  C

Step-by-step explanation:

I recognize this as coming from an old 1912 novel published as "A Princess of Mars", by Edgar Rice Burroughs. I read the book as a teenage boy. A 2012 movie, called "John Carter", was based on this same book.

Answer A  - No, because the character (Carter) says, "My muscles, perfectly attuned and accustomed to the force of gravity on Earth". Perfectly attuned is an athlete, not a clumsy person.

Answer B - No, because the character just doesn't sound all that frustrated. The experience is strange and inconvenient, yet he is handling his emotions pretty well for how weird it must be. It is more like he is writing about an amazing experience, not just complaining.

Answer D - No, because he never says that the experience was making him happy. He does not say that he was laughing or smiling or that it reminded him of some pleasant time he had as a boy.

Answer C - Yes. - Creation of vivid imagery. In a novel, the author must paint pictures with their words. Part of how the author does this is by giving you the picture of a man who feels very comfortable with his coordination on Earth, but keeps winding up about 9 feet off the ground without trying. He doesn't just "I kept falling". He tells you in vivid detail - "... landed me sprawling on my face or back ..."

Hope this helps!

Answer:

a) 295.2

Step-by-step explanation:

a) cross multiplication method

€1=£0.72

€410=x

x=€410×£0.72

Answer:

x =23

Step-by-step explanation:

ok first, the full degree of a straight line is 180°

subtract 38° out of 180°

180-38= 142

so 6x+4= 142°

subtract 4 from both sides of the equation

6x +4 -4= 142-4

6x=138

divide 6 from 6x and 138

x=23

\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).

the first domain is true for f(0) so we substitute value of x in the first function

\(f(x) = x \\ f(0) = 0\)

Answer: 4

Step-by-step explanation: because he needs to divided by 2

The area of ΔEFG is approximately 916 square centimeters.

Given that,

In ΔEFG

f = 88 cm ,

g = 18 cm

∠E=68°

To find the area of ΔEFG,

Use the formula:

Area = (1/2)xfxgxsin(∠E)

First, we need to convert the angle from degrees to radians.

We can do this by multiplying by π/180.

∠E = 68° * π/180 ≈ 1.19 radians

Next, we can plug in the values we have:

Area = (1/2)x88x18xsin(1.19)

        ≈ 915.56 cm²

Rounding this to the nearest square centimeter,

we get,

Area ≈ 916 cm²

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

18,072

Step-by-step explanation:

if one box of printing paper has 2008 sheet of paper in it and the company ordered 9 boxes all u do it take the sheet or paper per box and multiply that by the number of boxes.

2008 * 9 = 18,072

Answer:

$0.55 Per Donut

Step-by-step explanation:

Each donuts costs is $1.3.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let the cost of donuts be x and cupcakes be y

Now,it is given that,

Natalie bought 3 cupcakes and 2 donuts for $5.00

So,

3y + 2x = 5        ....(i)

James bought 1 cupcake and 2 donuts for $2.40

y + 2x = 2.4     ......(ii)

Now, subtracting equation (i) by (ii) we get,

2y = 2.6

Dividing nboth side by 2 we get,

y = 1.3

which is the cost of each donut.

Hence,Each donuts costs is $1.3.

To learn more about simultaneous equation:

https://brainly.com/question/12687708

#SPJ2

Answer:

mEh HaV nO iDeA

Step-by-step explanation:

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

For more such questions on explicit

https://brainly.com/question/30394385

#SPJ8

The speed of the boat in still water is 12mikes per hour and the speed of the current is 6milesper hour

Speed is defined as, the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

speed = distance /time

speed with downstream = 90/5 = 18miles per hour

speed against down stream = 90/15 = 6 miles per hour

represent the speed of the boat in still water by x and the speed of the downstream by y

therefore x+y = 18 equation 1

x-y = 6 equation 2

subtract equation 2 from 1

2y = 12

y = 12/2 = 6miles/hour

substitute 6 for x in equation 1

x + 6 = 18

x = 18-6 = 12 miles/hour

therefore the speed of the boat with in still water is 12miles per hour and the speed of the current is 6 miles per hour

learn more about speed from

https://brainly.com/question/4931057

#SPJ1

We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

Learn more about equation:https://brainly.com/question/29657983

#SPJ1

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You can find the intercepts by dividing the constant (1) by the coefficient of x (1) for the x-intercept, and the coefficient of y (-1) for the y-intercept.

Knowing the x-intercept is +1 and the y-intercept is -1 tells you the graphed line makes a triangle with the axes in the 4th quadrant. The attachment shows a graph of the equation.

We can see here that the Pythagorean theorem can help one determine whether the roped off area is in the shape of a right triangle because the converse of Pythagorean Theorem is actually used to prove that a triangle is a right triangle.

Let's understand the definition and meaning of  Pythagorean Theorem.  Pythagorean Theorem is actually seen as the fundamental concept that is used to describe the relationship that exists  between all the sides of a right-angled triangle.

The theorem actually states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the two shorter sides, and "c" is the length of the hypotenuse.

When we don't know that a triangle is a right-angle triangle, we use the converse to prove it.

Learn more about Pythagorean Theorem on https://brainly.com/question/343682

#SPJ1

Answer:

8 < b

Step-by-step explanation:

since she reads more than 8 it marks out B and D and since b needs to be greater than 8, the answer would be C

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive