Solve the inequality and graph the solution.

−2p + 4.5 < −2.9

number line with open circle plotted at 3.7 and arrow pointing right
number line with closed circle plotted at 3.7 and arrow pointing left
number line with open circle plotted at 3.7 and arrow pointing left
number line with closed circle plotted at 3.7 and arrow pointing right

Answers

Answer 1

The solution of the inequality −2p + 4.5 < −2.9 is number line with open circle plotted at 3.7 and arrow pointing right, the graph of the inequality  has been plotted.

The inequality is −2p + 4.5 < −2.9

Subtract 4.5 from both side

-2p + 4.5 - 4.5 <-2.9 - 4.5

-2p < -7.4

Divide both sides by -2

-2p/-2 < -7.4/-2

p > 3.7

Draw the graph using the result of the inequality

Hence, the solution of the inequality −2p + 4.5 < −2.9 is number line with open circle plotted at 3.7 and arrow pointing right, the graph of the inequality  graph has been plotted.

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Solve The Inequality And Graph The Solution.2p + 4.5 &lt; 2.9 Number Line With Open Circle Plotted At
Answer 2

Answer:

number line with open circle plotted at 3.7 and arrow pointing right

Step-by-step explanation:

hope this helps :)


Related Questions

Help 40 points
Two questions!

Answers

The resultant of the product of 7 and 6 added to the quotient of 121 and 11 is 53.

The point (3,9) satisfies the equation y = 8x - 15 thus it will be the solution of the equation.

What is a number system?

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

What is the equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

01)

The quotient of 121 and 11 is 11.

As per the given,

Product of 7 and 6 ⇒

7 × 6 + 11 = 53

Hence "The resultant of the product of 7 and 6 added to the quotient of 121 and 11 is 53".

02)

As per the given equation,

y = 8x - 15

Substitute,(3,9)

9 = 8(3) - 15

9 = 9

Since it is satisfying thus it will be the solution.

Hence "The point (3,9) satisfies the equation y = 8x - 15 thus it will be the solution of the equation".

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What are two ways you can find 17-8? Explain.

Answers

The two ways to find solution of the expression (17-8) are by direct arithmetic method and indirect simplification method.

In arithmetic method, the first step is to determine whether the numbers are rational or irrational, so as to simplify the solution process. If numbers are rational, then they are checked for the sign determining their position on number line and then the calculations are performed. Here, 17 is positive rational number and -8 is negative rational number. Hence, 17-8 is equalized to 9. In indirect simplification method, the numbers to be subtracted are broken down to simpler terms which can be easily subtracted and reduced to get the answer. In the subtraction of 17-8, we break 8 in the form of (7+1). Then the expression becomes 17 - (7+1). Now, this expression can easily be solved to get the answer. Therefore, 17 - (7+1) = 10 - 1 = 9.

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4/5(720-240)-180 step by step

Answers

To solve, we use the order of operations PEMDAS, where

P = Parenthesis

E = Exponets

M = Multiplication

D = Division

A = Addition

S = Subtraction

State the expression to be simplified:

Possibility 1

[tex]\frac{4}{5}(720-240)-180[/tex]

Expanding the parenthesis:

[tex]\frac{4}{5}\times480-180[/tex]

Multiplying then subtracting,

[tex]384-180[/tex]

Therefore, the answer is 204.

Possibility 2

[tex]\frac{4}{5(720-240)}-180[/tex]

Expanding parenthesis:

[tex]\frac{4}{5\times480}-180[/tex]

Multiplying:

[tex]\frac{4}{2400}-180[/tex]

Dividing then subtracting:

[tex]\begin{gathered} \frac{1}{600}-180 \\ =-179.998 \end{gathered}[/tex]

Therefore, the answer is -179.998.

Possibility 3

[tex]\frac{4}{5(720-240)-180}[/tex]

Expanding parenthesis:

[tex]\frac{4}{5\times480-180}[/tex]

Multiplying:

[tex]\frac{4}{(2400-180)}[/tex]

Further expanding the parenthesis then dividing:

[tex]\begin{gathered} \frac{4}{2220} \\ =0.0018 \end{gathered}[/tex]

Therefore, the answer is 0.0018.

Angles A and B are supplementary angles. If m

Answers

Answer:

138 degrees

Explanation:

Two angles are said to be Supplementary if they add up to 180 degrees.

Given that Angles A and B are supplementary and:

[tex]\begin{gathered} m\angle A=(2x-24)^0 \\ m\angle B=(5x-27)^0 \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} m\angle A+m\angle B=180^0 \\ 2x-24+5x-27=180 \\ 7x=180+27+24 \\ 7x=231 \\ x=\frac{231}{7} \\ x=33^0 \end{gathered}[/tex]

Therefore, the measure of angle B will be:

[tex]\begin{gathered} m\angle B=(5x-27)^0 \\ =5(33)-27 \\ =165^0-27^0 \\ =138^0 \end{gathered}[/tex]

The measure of angle B is 138 degrees.

Sum of two rational numbers are 2/15 , if one rational number is 2/3 . Find the other rational number

Answers

Step-by-step explanation:

the answers is attached

hope it helps

in the diagram the perpendicular bisectors of triangle MNP meet at point O the circumcenter find the measure of PO

Answers

The circumcenter must have equal distance between center and veriter

10. The value of the 8th term is 78.The sequence is increasing by 10 at each step.Explicit equation: y = 10x - 2Recursive: now = previous term + 10Find the 9th term.Explanation:

Answers

We have the explicit equatiion:

[tex]\text{ y = 10x - 2}[/tex]

The 8th term is 78

y = 10 * 8 - 2

y = 80 - 2

We replaced x by 8

Therefore, for finding the 9th term, we calculate the value this way:

y = 10 * 9 - 2

y = 90 - 2

y = 88

The 9th term of the series is 88

Kelly bought a soda for three dollars and 7 candy barswent to the movies. She spent a total of $21. How much did eachcandy bar cost?Write equation and solve. Show work

Answers

She spent a total of $21 dollars.

The soda cost $3

Then, she bought 7 candy bars for x dollars

We set x because we don't know the price

3 + 7x = 21

Solve the equation for x

Subtract both sides by 3

3-3 + 7x = 21 -3

7x = 18

Divide both sides by 7

7x/7 = 18/7

x= 2.571

Each candy bar cost 2.57 aprox

Data collected on types of fruit is given below.R = Red Fruit. B = Berries Given that:r1 =49r2 =10r3 =5r4 = 8A) how many types of fruit are not red?B) how many types of fruit are berries?C) how many types of fruit are red berries D) how many types of fruit are not red and not berries

Answers

You have the next diagram:

R=10+5=15

B=5+8=13

R∩B=5

U=49+5+8+10=72

A) how many types of fruit are not red?

The number of fruits that are not reds is those that are outside of the set R: 57

[tex]\begin{gathered} R^{\prime}=U-R=72-15 \\ R^{\prime}=57 \end{gathered}[/tex]B) how many types of fruit are berries?

The number of fruits that are berries is those that are in the set B: 13

[tex]B=13[/tex]C) how many types of fruit are red berries

The number of fruits that are red berries is those that are in set R and in set B: 5

[tex]R\cap B=5[/tex]D) how many types of fruit are not red and not berries​

The number of fruits that are not red and not berries is those that are outside the sets R and outside the set B: 49

Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. cos 75° = ___

Answers

Answer:

0.26

Explanation

Given the expression

Cos 75°

According to the calculator

Cos 75° = 0.2588

Converting to the nearest hundredth

Cos 75 = 0.26

Hence the required answer is 0.26

This composite figure is made up of three simpler shapes. What is the area of the figure? 3 cm 2 cm 8 cm 3 cm 12 cm A. 37 square cm B. 39 square cm C. 58 square cm D. 55 square cm

Answers

[tex]\begin{gathered} \text{the total area is:} \\ \\ A=12\cdot3+8\cdot2+3\cdot\frac{2}{2} \\ \\ A=36+16+3 \\ A=55 \\ \\ \text{ The area is 55 square cm} \end{gathered}[/tex]

A new social media site is increasing its user base by approximately 6% per month.Ir the site currently has 21,740 users, what will the approximate user base be 8 months from now?

Answers

Data

• Increase: 6% per month

,

• Current users: 21,740

,

• Users after 8 months: ?

Procedure

As we are increasing 6%, we have to multiply the original quantity, which represents the 100%, times 100% plus the increase (6%). However, this must be done in decimals:

[tex]\frac{100\%+6\%}{100\%}=\frac{106\%}{100\%}=1.06[/tex]

Then, for the first month the user base will be:

[tex]21,740\times1.06=23,044.4[/tex]

Then, for the second month the user base will be:

[tex]23,044.4\times1.06=24,427.06[/tex]

The third month would be:

[tex]24,427.06\times1.06=25,892.70[/tex]

We could do this for eight months or we can take a shortcut:

[tex]U=U_0\times i^n[/tex]

where U represents the user, U0 is the initial users, i is the increase rate, and n is the number of months.

Replacing the data we have we get:

[tex]U=21,740\times1.06^8[/tex][tex]U=34,650.26[/tex]

Answer: 34,650.26 users after 8 months with a 6% increase per month.

helpppp me out please will give brainiest to first right answer

Answers

Answer:

-490

Step-by-step explanation:

:]

Which is bigger 978cm or 12m?

Answers

It is given that there are two quantities 978cm and 12 m.

The units are different so convert in same units.

It is known that 1m=100cm

So 12m=1200cm.

Since 1200>978 so it follows

1200cm>978cm.

so 12m>978cm.

Hence 12 meters is greater than 978cm.

Solve the equation algebraically

-3(h+6)-7=5

Write your answer as an internet or reduced fraction.

H=

Answers

Answer:

h = -10

Step-by-step explanation:

-3(h+6) - 7 = 5

-3h - 18 - 7 = 5

-3h - 25 = 5

     +25    +25

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

-3h = 30

÷-3     ÷-3

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

h = -10

I hope this helps!

Which of the following is an x-intercept of the graph of the function shown below? f(x) = x2 + 6x + 9 O A. x = 6 O B. x=9 O C. X=-3 O D. x = 3 PREVIOUS Type here to search

Answers

Given:

The function is,

[tex]f(x)=x^2+6x+9[/tex]

Explanation:

For x-intercept of the function f(x) = 0. So

[tex]0=x^2+6x+9[/tex]

Solve the equation for x.

[tex]\begin{gathered} x^2+6x+9=0 \\ x^2+3x+3x+9=0 \\ x(x+3)+3(x+3)=0 \\ (x+3)(x+3)=0 \\ x=-3,-3 \end{gathered}[/tex]

So x-intercept of the function is x = -3.

Answer: x = -3

Option C is correct

Consider the figure. If <7 and <11 are supplementary then lines

Answers

Solution

- The two angles, <7 and <11 are supplementary. This implies that the line q is a transversal line upon which angles <7 and <11 are drawn.

- In order for line q to be the transversal and <7 and <7 to be supplementary, it implies that the lines r and s are parallel.

Final Answer

The answer is "r and s"

Which of the following ratios does NOT represent a proportional relationship?

Answers

ANSWER

D 3/4 = 8/6

EXPLANATION

For the ratios to be proportional, the fraction on the left hand side must be equivalent to the one on the right hand side.

So, for each of them, we will check if the values are the same.

a) 3/4 = 6/8

Simplifying 6/8 by dividing numerator and denominator by 2 yields:

3/4 = 3/4

The ratio is proportional.

b) 3/6 = 4/8

Simplifying both sides yields:

1/2 = 1/2

The ratio is proportional.

c) 4/3 = 8/6

Simplifying 8/6 by dividing numerator and denominator by 2 yields:

4/3 = 4/3

The ratio is proportional.

d) 3/4 = 8/6

Simplifying 8/6 by dividing numerator and denominator by 2 yields:

3/4 = 4/3

Because the two fractions are not equal, the ratio is not proportional.

The answer is D.

for each problem find the instantaneous rate of change of the function at the given value ...Thank you and God Bless

Answers

Answer:

The instantaneous rate of change of the function at the given value is -2.

[tex]f^{\prime}(0)=-2[/tex]

Explanation:

The instantaneous rate of change of the function at point x=a can be written as;

[tex]f^{\prime}(a)=\frac{df(a)}{dx}[/tex]

For the given function;

[tex]y=2x^2-2x+2[/tex]

Then the derivative of the function is;

[tex]f^{\prime}(x)=y^{\prime}=4x-2[/tex]

substituting x=0, we have;

[tex]\begin{gathered} f^{\prime}(0)=4(0)-2 \\ f^{\prime}(0)=-2 \end{gathered}[/tex]

Therefore, the instantaneous rate of change of the function at the given value is -2.

[tex]f^{\prime}(0)=-2[/tex]

Sam ran 63,756 feet in 70 minutes. What is Sam's rate in
miles per hour? (There are 5,280 feet in one mile.)
Step 1: What is Sam's rate as stated?

Answers

The Sam's rate is 10.35 miles per hours.

What is miles per hour?

In mathematics, miles per hour is the unit for the speed measurement. It is used for the calculation of the speed of the train or people or any another objects. It can be calculated by dividing the distance with time.

According to the question, the given data states that the Sam ran 63,756 feet in 70 minutes.

Distance = 63,756 feet and Time = 70 minutes

And the given conversion is: 5280 feet = 1 miles

Therefore, Sam's rate or speed in miles per hour is as written below:

Speed = Distance/Time

Speed = (63,756/70) x (1/5280) x 60 = 10.35 miles per hours

Hence, the Sam's rate is 10.35 miles per hours.

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The question: Rounded to the nearest integer, what is the approximate surface area of this right triangular prism with an equilateral triangle for a base? I just need help solve it because I’m confused

Answers

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

Then we will substitute in the following formula:

Surface Area of Triangular Prism=(√3a^2)/2+3(a+h)

Replacing:

Surface Area of Triangular Prism=(√3*8^2)/2+3(8+6)

Surface Area of Triangular Prism=(√3*64)/2+3(14)

Surface Area of Triangular Prism=(√3*64)/2+42

Surface Area of Triangular Prism=(√3*32)+42

Surface Area of Triangular Prism=32√3+42

Surface Area of Triangular Prism=97 ft^2

Finally we obtain that the aproximately surface area is 97 ft^2.

Answer:

199FT

Step-by-step explanation:

I took the quiz

Write 10x – 5y = –30 in slope-intercept form.

Answers

Answer:

the answer of the question is

y= 2x+6

PLEASEE HELPP THIS IS DUE 2DAY!!!!!!


Create and solve a word problem using the equation 2x+12>2(x+6).include steps and strategies on how to solve the word problem.

Answers

A word problem of the scenario is "twelve more than twice a number is greater than double the sum of the number and six"

It has no solution

How to create a word problem?

The inequality expression is given as

2x + 12 > 2(x + 6)

To create the word problem, we represent the variable with a real world concept

Take for instance, we can set the variable to "a number"

So, the representation of x is "a number"

This means that the word problem can be:

Twelve more than twice a number is greater than double the sum of the number and six

The solution of the word problem

In (a), we have

Twelve more than twice a number is greater than double the sum of the number and six

When represented as an inequality, we have

2x + 12 > 2(x + 6)

Open the bracket

2x + 12 > 2x + 12

Both sides of the inequality are the same and the inequality symbol is greater than

This means that the inequality has no solution

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The table below shows the students in an Algebra class.GirlsBoysTotalOwn a graphing Do not own a graphingcalculatorcalculator125176713Total181230What is the probability that a randomly chosen student will be a girl and own a graphingcalculator?

Answers

Explanation:

The total number of students in the algebra class is given below as

[tex]n(S)=30[/tex]

The number of girsl who won a graphing calculator is given below as

[tex]\begin{gathered} n(G_h\cap G_n)=12 \\ where, \\ G_h=have\text{ }graphing\text{ }calculator \\ G_n=does\text{ }not\text{ }have\text{ }graphing \end{gathered}[/tex]

Concept:

To figure out the probabaility that a randomly chosen student will be a girl and own a graphing calculator, we will use the formula below

[tex]Pr(G_h\cap G_n)=\frac{n(G_h\cap G_n)}{n(S)}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} Pr(G_{h}\operatorname{\cap}G_{n})=\frac{n(G_{h}\operatorname{\cap}G_{n})}{n(S)} \\ Pr(G_h\operatorname{\cap}G_n)=\frac{12}{30} \\ Pr(G_h\operatorname{\cap}G_n)=\frac{2}{5} \end{gathered}[/tex]

Hence,

The final answer is

[tex]\frac{2}{5}[/tex]

The FOUTH OPTION is the correct answer

8.062,8.26,0.026,8.6 least togreatest

Answers

Answer:

0.026, 8.062, 8.26, 8.6

Step-by-step explanation:

Hope this helps!

Btw, pls give brainliest, thanks!

Answer:

0.026, 8.062, 8.26, 8.6

The number of boots that 25 students had in their homes in Florida were recorded below:

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 9

a) What value would you predict to be an outlier?

b) How does the outlier affect the median?

c) How does the outlier affect the mean?

d) Which measure of center would best describe the data?

e) How does the outlier affect the standard deviation?

f) How does the outlier affect the interquartile range?

g) Which measure of spread would best describe the data?


PLEASE ANSWER, WILL MARK BRAINLIEST

Answers

1.The outlier affect the Min = 0 for the minimum

2. the outlier affect the median is 2

Q₁ = 0  Q₃ = 3  Maximum Max = 8

The middle value in a sorted data set is known as the median. 

what is more about?

Think of your sorted data as being

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8

1.Min = 0 for the minimum

The median

The middle value in a sorted data set is known as the median. 

2.Since there are 25 items,

the 13th item is the median.

median is 2

3. The median of the data set's lower half is the first quartile, or Q1.

Between 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, the median is 0.

Q₁ = 0

Pretend that your s

4.Third quartile

The top half of the data set's median is Q3.

2, 2, 2, 2, 2, 3, 3, 3, 4, 5, and 8 have a median value of 3 each.

Q₃ = 3

5. Maximum Max = 8

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What can you observe about the
segments that connect
corresponding
vertices?

Answers

It is observed about the segments that the two triangles are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

What is segment?

In mathematics, the line segment is one of the part of the straight line. It has two endpoints which can be used to calculate the length of the respective segment. It is measured in different units called as meter, centimeter, etc.

According to the question, the given data for the line segment is as follows:

DD' = 58.4 cm; EE' = 58.4 cm;  FF' = 58.4 cm

All three segments are equal in length.

In this, the ΔDEF and ΔD'E'F' are equal from angle as well as length sides. And the relationship between two triangles and their vertex state that they are forming two congruent Polygon shapes as well as generating a segment between them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles.

Therefore, it is observed about the segments that connect corresponding vertices that the two triangles are congruent and its corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

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We want to buy special tile for the shaded area. The tile costs $4.39 per square foot. How much does it cost to tile the shaded area?

Answers

If the area of the rectangle is 800 square feet. Then the cost to tile the shaded area will be $3,512.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The area of the rectangle is given below.

A = 20 x 40

A = 800 square ft

Then the cost to tile the shaded area will be given as,

C = 4.39 x 800

C = $3,512

If the area of the rectangle is 800 square feet. Then the cost to tile the shaded area will be $3,512.

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The missing diagram is attached below.

The teacher is handing out note cards to her students. She gave 84 note cards to the first
student, 76 note cards to the second student, 68 note cards to the third student, and 60 note
cards to the fourth student. What kind of sequence is this?
arithmetic
geometric
both
neither

Answers

Answer: Arithmetic

Step-by-step explanation: Because its decreasing at a constant rate of the same number 8

Simplify 7-0.65r+3 to the lowest

Answers

The answer would be 0.65r+10
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