Aisha paid $33.15 for the pizza for her and her two friends. How much did it cost each of them for the pizza?

Answers

Answer 1

Answer:$11.05

Step-by-step explanation:

Answer 2

Answer:

$11.05 each

Step-by-step explanation:

To find x, the cost between Aisha and her two friends you must divide the total amount by the number of people.

There are three people, her and two friends and the total cost for the pizza is $33.15

$33.15 ÷ 3 = $11.05


Related Questions

The regular price of an MP3 player was $200. During a holiday sale it is marked down by $60. What is the percent discount?A.60%B.34%C.30%D.28%

Answers

Given : Regular price of MP3 player was $200. It was marked down by $60.

Required: Percent discount

Explanation:

Marked Price = $200

Discount given = $60

[tex]Percent\text{ discount = }\frac{Discount\text{ given}}{Marked\text{ price}}\ast100[/tex]

So, percent discount =

[tex]\frac{60}{200}\ast100=30\%[/tex]

Final answer : Percentage discount is 30%

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Answers

Consider the first equation,

[tex]y=\frac{3}{2}x-2[/tex]

This equation passes through (0,-2) and (2,1).

second

[tex]y=-\frac{1}{2}x+2[/tex]

This equation passes through (0,2) and (4,0).

Now we can plot the points and join them to get the corresponding lines on the graph as,

It is observed that the two lines intersect at point (2,1).

So the solution to the given equations must be x=2 and y=1.

At a benefit​ concert, eleven bands have volunteered to perform but there is only enough time for five of the bands to play. How many lineups are​ possible?

Answers

The number of ways that the line up can be possible when eleven bands have volunteered to perform but there is only enough time for five of the bands to play is 462 ways.

How to illustrate the information?

Eleven bands have volunteered to participate in the charity concert, but there is only enough time for five of them to do so. This involves combinations and permutations, it should be highlighted.

Therefore, the number of ways that the line up can be possible will be:

n! / (n − r)!

where n is the number of things to choose from and we choose r of them

= 11! / (11 - 5)!5!

= 11! / 6!5!

= 462

There are 462 ways.

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Ricardo can complete 4 laps around a track in 10 minutes. Create a graph that has a slope that represents the
number of laps Ricardo can run per minute.
Select two points on the coordinate grid. A line will connect the points.

HELP !!

Answers

The graph is attached below.

The number of laps completed by Ricardo in 10 minutes is 4.The number of laps completed by Ricardo in 1 minute is 4/10.Thus, slope is 0.4.We can form a linear function.The function "y" equals 0.4x.We have to graph the function.In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.y = 0.4xNow, we can get several pairs of coordinates that satisfy the above linear function.We plot the points on the graph and join them.We can see that the given function is an equation of a straight line that has a positive slope of magnitude 0.4 and passes through origin.

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which equation shows the multiplication property of equality if n + 4 = 11​

Answers

The equation D show the multiplication property of inequality if n+4 =11

What is inequality ?

inequality, When two numbers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order. Inequalities can be stated as either statements of fact in the form of theorems, which are solved using methods similar to those used to solve equations, or as questions. For instance, the triangle inequality states that the length of the remaining side is greater than or equal to the sum of the lengths of any two sides of a triangle. Many of these inequalities, including the Cauchy-Schwarz inequality, are used in the proofs of many of mathematical analysis' most significant theorems.

Sol-

If n+4 =11

Then by applying the product rule -

(n+4)×2 =11×2

So the correct option is D.

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Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (4t^2-5u)^2 This simplifies to: AnswerThe degree of our simplified answer is: Answer

Answers

The degree of our simplified answer is =  4

what is polynomials ?

Polynomials are sums of the terms of form k· x^ n, where k is any number  and n is positive integers. polynomials are algebraic expression that consist of variable and coefficient. variables are also sometimes called Indeterminates

an example of polynomial with one variable is x^2+x-12.

so,

after expanding the identity (4t^2-5u)^2, it becomes:

 16t^4+25u^2-40ut^2

as we know in case of polynomial highest degree from the polynomial is consider as the degree of that polynomial.

hence,

           The degree of this equation is 4.

 

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1. Find the quotient of the averages prices of gold in 2010 and 1970. What
does the quotient mean?

Answers

Answer:

35.224137931

Step-by-step explanation:

2010: 1266.66

1970: 35.96

1266.66/35.96=35.224137931

Without the actual data for the average prices of gold in 2010 and 1970, I cannot provide the exact quotient. However, if we assume that we have the data, we can calculate the quotient by dividing the average price of gold in 2010 by the average price of gold in 1970. The resulting quotient would indicate how many times more expensive gold was in 2010 compared to 1970.

For example, if the average price of gold in 2010 was $1,500 per ounce and the average price in 1970 was $35 per ounce, then the quotient would be:

$1,500 / $35 = 42.86

This means that the average price of gold in 2010 was 42.86 times more expensive than the average price in 1970.

It is important to note that the actual quotient will depend on the actual data for the average prices of gold in 2010 and 1970.

divide550six by 50six​

Answers

The quotient of 550six and 50six​ is obtained by the calculation to be   11 six

What is the quotient?

We know that the result that we obtain after we have carried out a division operation is called a quotient. In this case, we have been required to carry out the operation of division in base six.

We could start by converting the both values to base 10 as follows;

(5 * 6^2) + (5 * 6^1) + (0 * 6^0) = 180 + 30 + 0 = 210 ten

(5 * 6^1) + (0 * 6^0) = 30 + 0 = 30 ten

Then we carry out the division in base ten; 210 ten/30 ten = 7 ten

We convert back to base six to obtain 11 six

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Lisa randomly selected 30 adult dogs from two different breeds. She gathered data about their weights and created the dot plots
shown.
Select the true statement.
Breed A
24
Breed B
24
26
26
28
28
30 32
Weight (pounds)
34
po 32
Weight (pounds)
34
36
36
30

38
40
40
A.
Dogs of breed B typically weigh more than dogs of breed A
B.
Dogs of breed A and breed B typically weigh the same.
C. There is too much overlap to make a generalization comparing the weights of dogs of breed A and breed B.
D. Dogs of breed A typically weigh more than dogs of breed B.

Answers

The true statement is Statement A which is dogs of breed B typically weigh more than dogs of breed A using histogram in probability concept.

What is a histogram in probability?

The likelihood of each possible occurrence is displayed on the y-axis of a probability histogram. A histogram is a statistical data display that makes use of rectangles to illustrate the frequency of data items in successive numerical intervals of equal size. The dependent variable is plotted along the vertical axis in the most typical type of histogram, while the independent variable is plotted along the horizontal axis. The distribution of data is depicted graphically in a histogram. A collection of neighboring rectangles, each with a bar that represents a certain type of data, is used to illustrate a histogram. Fill L1 with the values of the random variable (remember to use the class midpoints for continuous random variables). The associated percentages should be entered into L2 with a decimal format.

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im in a mega rush please help me fast

Answers

The equivalent expression of 2⁻³ / 2⁻⁵ will be 2².

Option A is true.

What is a mathematical expression?

Expression in math is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 2⁻³ / 2⁻⁵

Now, The rule of exponent is;

[tex]\frac{a^{x} }{a^{y} } \\a^{x} * a^{-y} \\a^{x+ (-y)} \\a^{x-y}[/tex]

Hence, Solve the expression by rule of exponent as;

The mathematical expression is,

⇒ 2⁻³ / 2⁻⁵

⇒ 2⁻³ / 2⁻⁵

⇒ 2⁻³ × 2⁵

⇒ 2⁻³⁺⁵

⇒ 2²

So, 2⁻³ / 2⁻⁵ = 2²

Thus, The equivalent mathematical expression of 2⁻³ / 2⁻⁵ will be 2².

Option A is true.

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Help me with this please

Answers

nswer : D) 1I, II and III

Marks
Homework Progress
Adam has 18 counters.
He gives 10 of the counters to Lesley.
16/18 Marks
a) What fraction of the 18 counters does Lesley get?
Give your answer in its simplest form.
b) What fraction of the 18 counters does Adam have now?
Give your answer in its simplest form.

Answers

A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. The fraction of the counters that Lesley gets is 5/9.

What is meant by a fraction?

A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

A fraction exists a quantity that exists not a whole number. In Math's, a fraction usually contains a numerator and a denominator.

The fraction of the counters that Lesley gets

= number of counters she gets / total number of counters

= 10/18 = 5/9

Therefore, the fraction of the counters that Lesley gets 5/9.

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What is the equation of a line, in slope-intercept form, that has a slope of m=4 and passes through the point (5, 12) ? Enter your answer in the box.​

Answers

The equation of line is given by y-12=4(x-5).

What is equation of line with slope intercept form?

The equation of a line in point-slope form can be written as

y-y_1=m(x-x_1) where (x_1,y_1) is the points line passes through.

(y-12)=4(x-5)

Where m=4 and x_1=5,y_1=12

Hence, the equation of line is

y=4x-5+12

y=4x+7

The equation of line with the form of slope intercept form is y-12=4(x-5).

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will give brainliest for correct answer

Answers

The correct approaches that can be used to solve the increase in area are

dr = 2Use differential to determine the change in the functionBase value of r is 42A(44) - A(42)

The area of the circle has an estimated increment of 527.52 square mm

What are areas?

The area of a shape is the amount of space on the shape

For all regular quadrilaterals, you multiply the side lengths to determine the area

How to determine the correct approach to the problem?

From the question, the given parameters are:

Previous radius = 42

New radius = 44

Calculate the change in the radius

dr = New radius - Previous radius

Substitute the known values in the above equation

So, we have

dr = 44 - 42

Evaluate

dr = 2

The above method leads to a differentiation problem where dr = 2

So, the correct approaches to the problem include

dr = 2Use differential to determine the change in the functionBase value of r is 42A(44) - A(42)

The change in the area

The area of a circle is

A = πr²

Differentiate

d(A) = 2πr * dr

Where

r = 42

dr = 2

So, we have

d(A) = 2 * 3.14 * 42 * 2

Evaluate

d(A) = 527.52

Hence, the estimated increase in the area is 527.52 square mm

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What number comes next in the following sequence: 8,13,18,23,28,...?

Answers

The next number is 33

Given points J(3,3), A(5.4), and R(4,2), graph ofAJAR and its reflection image across the given line.R-axis

Answers

When we reflect a point along the x-axis, the x coordinate stays the same BUT the y coordinate is negated.

A point (x,y) becomes (x, -y)

et us apply this rule to the points J, A, and R. SThis is shown below:

[tex]\begin{gathered} J(3,3)\rightarrow J^{\prime}(3,-3) \\ A(5,4)\rightarrow A^{\prime}(5,-4) \\ R(4,2)\rightarrow R^{\prime}(4,-2) \end{gathered}[/tex]

The graph of the triangle will look like >>>

What is -2/5x + 3 = 2/3x + 1/3?

Answers

The value of x based on the given expression - 2/5x + 3 = 2/3x + 1/3 is 2 1/2

How to solve equation?

- 2/5x + 3 = 2/3x + 1/3

collect like terms

- 2/5x - 2/3x = 1/3 - 3

(-6 - 10)x / 15 = (1-9) / 3

-16/15x = -8/3

divide both sides by - 16/15

x = - 8/3 ÷ -16 / 15

Multiply by the reciprocal of -15/16

x = - 8/3 × -15/16

= (-8 × -15) / (3 × 16)

= 120 / 48

= 2 1/2

In conclusion, the solution to the expression - 2/5x + 3 = 2/3x + 1/3 is 2 1/2

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The city is issuing bonds to raise money for a building project. You obtain a $6700 bond that pays 2% interest annually that matures in 5 years. How much interest will you earn?

Answers

The interest that will be earned when the city is issuing bonds to raise money for a building project is $670.

How to calculate the value?

It should be noted that the formula for the calculation is the interest is given as:

Interest = Principal × Rate × Time / 100

where P = $6700

R = 2%

Time = 5 years

Interest = Principal × Rate × Time / 100

Interest = (6700 × 2 × 5) / 100

= 670

The interest is $670.

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Which of the following is a whole number 1. 52. 03. 104. -9.05. 19/36.-7

Answers

The whole numbers are defined as numbers that include naturals and zero. Not a fraction, decimal or negative numbers.

So in this case, the whole numbers are: 5 ; 0; 10.

Question 1
Scientists are studying the growth of a particular virus in a large community.
The case count, C, in the community after d days can be modeled with the equation: C =
181(1.07)d
What type of model is the equation?
O Linear Growth
O Exponential Growth
O Exponential Decay
O Linear Decay

Answers

Linear Decay  is the equation .

What is Linear Decay?

A line with a negative slope can be used to model linear decline. for instance, that James now withdraws $10 every month from her piggybank, which originally held $100. The remaining balance in the piggybank can then be predicted using. A = 100 - 10t.

Is linear decay exponential?

A linear function reduces the original number by the same amount each time, but exponential decay reduces the original amount by a constant percentage over time. Exponential decay differs from linear decay in this way: the decay factor depends on a percentage of the original quantity.

Scientists are studying the growth of a particular virus in a large community.

The case count, C, in the community after d days can be modeled with the equation: C = 181(1.07)d

This equation is showing Linear Decay .

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thank u very much to whoever do this

Answers

Answer:

C

Step-by-step explanation:

20+80 = 100

a triangle equals 180* so

1080-100=80 or just use a calculator OR with your brain

Which expression is equivalent to the algebraic expression 8k5∙9k−2(6k2)2, where there are no variables in the denominator?




2k−181


2k81


2k−1


2k

Answers

The expression is equivalent to the 360[tex]k^2[/tex] - 48k

Given the Expression :
8k5∙9k−2(6k2)2

It means

(8k × 5) × 9k - 2(6k × 2) × 2

Now, Multiply the monomials

360[tex]k^2[/tex] - 2(6k × 2) × 2

Again, Multiply the monomials,

= 360[tex]k^2[/tex] - 48k

Hence, The expression is equivalent to the 360[tex]k^2[/tex] - 48k

What is Monomial ?

A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with an single term but can have multiple variable and a higher degree too.

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Solve the problem.
Find m so that x + 4 is a factor of 5x3+ 18x² + mx + 16

Answers

The value of m such that x +4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

What is the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16?

It follows from the task content that the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16 is to be determined.

Hence, if x + 4 is a factor, it follows that x = -4 is a zero of the expression.

Therefore; 5(-4)³ + 18(-4)² + m(-4) + 16 = 0.

-320 + 288 - 4m + 16 = 0.

-16 - 4m = 0

4m = -16

m = -16/4

m = -4.

Ultimately, the value of m for which x+4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

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12. We have worked for along time
now. We're ...... ..... tired.
O O O O
A getting
B seeing
C sending
D meaning

Answers

A) getting

Not seeing cause seeing is to see something.
Not sending cause you aren’t sending that you are tired.
and meaning is not it either cause you are not meaning tired.

so it would be A —> getting

help pls ill give 50 points (well im putting in 50 points)

Answers

The common difference of each given sequence is:

a. -3

b. 3

c. -4

d. 5

What is an Arithmetic Sequence/Progression?

An arithmetic sequence or progression is defined as a series of numbers whereby each term of the sequence is determined by adding a constant (known as the common difference) to the previous term to get the next term in the sequence.

What is the Common Difference of an Arithmetic Sequence?

The common difference is the number that is added to each term of an arithmetic sequence to get the next term of the sequence.

How to Find the Common Difference of an Arithmetic Sequence?

The common difference, d = difference between two consecutive terms in the sequence.

Subtract the first term from the second term or the second term from the third term to get the common difference of the sequence.

a. Common difference = 7 - 11 = 4 - 7 = 1 - 4 = -3.

b. 23 - 20 = 26 - 23 = 29 - 26 = 3.

c. 12 - 16 = 8 - 12 = 4 - 8 = -4.

d. 3 - (-2) = 8 - 3 = 13 - 8 = 5

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Answer:

a. -3

b. 3

c. -4

d. 5

Step-by-step explanation:

Have a good day!

Which expression is equivalent to −5 + 8 − 6x − 8x?
14x + 13
−14x − 3
−14x + 3
−14x + 13

Answers

[tex] = - 6x - 8x - 5 + 8 \\ = - 14x + 3[/tex]

The third option is the answer!!!

Find the length of the sides of the triangle ABC if the perimeter of the triangle is 33 inches.

Answers

The length of the sides of the triangle is 11 inches.

Triangle:

Triangle is defined as the three-sided polygon that consists of three edges and three vertices

Given,

If the perimeter of the triangle is 33 inches, then we have to find the sides of the triangle.

Let x be the sides of the triangle, we know that the triangle has 3 sides.

And lest us consider this one as equilateral triangle.

So, the formula for perimeter is,

Perimeter = 3 x sides

Here we know the value of perimeter then the value of the sides are,

33 = 3 x sides

sides = 11

So, the value of the sides is 11.

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for f(x) = -2x+5, find the value of f(-1) + f(4)

Answers

Answer:

3 f

Step-by-step explanation:

(-1)+(4)

-+(4)

-+4

-f+4

-f+4

3

3

Introduction to Writing Proofs - A Geometry Performance project
Need help fast

Answers

The required expressions about the geometry figure can be proven as follows;

1. The measure of ∠2 and ∠3 are congruent by the substitution property of equality

2. ∠2 and ∠3 are congruent, (∠2≅∠3) by the property of equality

What is the property of equality?

The property of equality are properties that enable the solution of algebraic equations to be found and they include, addition, subtraction, multiplication, division, reflexive, substitution, transitive and symmetric properties.

1. The required paragraph to prove that ∠2 ≅ ∠3 is as follows:

Given that ∠1 and ∠2  form a linear pair, then their sum is 180°. Given that the sum of the measure of ∠1 and ∠3 is also 180°, then the sum of ∠1 and ∠2 is equal to the sum of ∠1 and ∠3. Therefore, by the addition property of equality, ∠2 ≅ ∠3.

2. The two column proof is as follows:

Statement               [tex]{}[/tex]                       Reasons

1. ∠ABC = ∠1 + ∠2 is ⊥                  1. Given

2. ∠ABC = 90°                               2. Definition of a perpendicular line

3. ∠1 + ∠2 = 90°                             3. Substitution property of equality

4. ∠1 and ∠3 are complementary  4. Given

5. ∠1 +∠3 = 90°                                5. Definition of complementary

6. ∠1 + ∠2 = ∠1 +∠3                         6. Substitution property of equality

7. ∠2 ≅ ∠3                                       7. Addition property of equality

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What has occurred if an increase in temperature accompanies a reaction?

Responses

Energy was released.
Energy was destroyed.
Energy was absorbed.
Energy was created.

Answers

The thing that has occurred if an increase in temperature accompanies a reaction is A. Energy was released.

How to illustrate the information?

There are many other types of reactions in chemistry, but the exothermic reaction and the endothermic reaction are the two most common forms.

Respiratory reaction is an example of an exothermic reaction, which is one in which energy is released in the form of heat. Exothermic reactions transfer energy from the system to the environment, raising the ambient temperature.

An endothermic reaction is one in which energy is removed from the system during the process. An example of an endothermic reaction is photosynthesis, in which plants use solar energy to produce food.

Therefore, a chemical reaction is said to be exothermic when it releases energy and causes a change in the environment's temperature.

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Other Questions
You are a carbon atom. You are having a wonderful (or awful) life, bonded toyour 5 closest friends (or enemies) in a great (or evil) glucose molecule. But your cellneeds you. It requires the energy glucose contains, which means your molecule must gothrough the process of cellular respiration, in which your molecule is broken into 6separate carbon dioxide molecules. Sounds noble, but personally devastating.Please describe each step of cellular respiration that leads to destruction of the glucosemolecule. For each step, you must discuss the molecules involved, such as ATP, electroncarriers etc. You must discuss what is removed at each step and what is left to move tothe next step. For this question, you do not need to go into detail about the exact names ofthe enzymes that facilitate each step. Q: Compare and contrast the different parts of the Electromagnetic Spectrum. Evaluate the usefulness of each part and decide which part is most useful, or most important, to you and society as a whole. You must provide two reliable sources to back up your opinion. Recall that reliable sources include scientific sites or publications, education sites or publications, and government sites or publications. The purpose of this assignment is to debate and consider different opinions on this topic. There is no right or wrong answer. However, this discussion should represent varying opinions. You will need to do some research and back up your opinions with facts. Remember to cite your sources!A: The different parts of the electromagnetic spectrum are ultraviolet lights, infrared lights, x-rays, gamma rays, and radio waves. All of these colors are called the electromagnetic spectrum. Each of these parts have different energy levels, wavelengths, and frequencies. According to scied.ucar,edu, Gamma rays have the highest energies and radio waves have the lowest. As imagine.gsfc.nasa.gov states, a comparison of all of the parts is that their radiations are defined by the amount of energy found in the photons. They will still have different energies but they all use photons. Usefulness for Radio: It captures radio waves emitted by radio station which makes our favorite tunes. Microwave: cooks popcorn in a few mins. Infrared: night vision goggles use this light. Helps us map dust between stars. Visible: Our eyes detect visible light. Fireflies, light bulbs, and stars all emit visible light. Ultraviolet:Emitted by sun and reason why skin tans and burns. X-ray:Dentist uses to view teeth, airport security to see through your bag, used to see inside things. Gamma ray: Doctors use it to image inside your body. I think the most important would be the visible ones because those are the ones everyone uses no matter what. If there was no light we wouldn't see. We can see light with our vision. you have been appointed head of marketing for barry's younique yachts. barry, the ceo, is interested in determining whether offering his yachts at a lower price would increase the firm's revenue. he asks you for advice. using your knowledge of elasticity, you should tell barry helpi give 5 stars and 30 points unos grandes almacenes vendieron 1 millon de kilos de comida en total entre verduras,carne,pescad,panaderia pero el marte vendieron mucho menos, exactamente 5 menos de comida que el lunes cuanto kilos de comida vendieron el martes power held due to the position of authority is called __________ power. Can you explain question 23 please Find all integer solutions of each system of inequalities:6-4b>03b-1>0 1. Line Y is parallel to line W. What is themeasurement of In which statement is the transition used correctly? Choose sentence if the group of words expresses a complete thought. Choose fragment if the group of words Doesnt express a complete thought.----------------------------------------------------------------------------------------------------1. Dinosaurs had four legs.a. sentence b. fragment 2. Were big animals that roamed the earth. a. sentence b. fragment Read the poem Storm Ending by Jean Toomer. List examples of imagery in the poem, identifying which senses are being invoked."Storm Ending" from Cane by Jean Toomer (1923) Thunder blossoms gorgeously above our heads, Great, hollow, bell-like flowers, Rumbling in the wind, Stretching clappers to strike our ears . . . Full-lipped flowers Bitten by the sun Bleeding rain Dripping rain like golden honey And the sweet earth flying from the thunder. PLEASE ANSWER FAST ! Function g is represented by the equation g(x)= log2 (x+3)-2.Over which interval are both functions positive? URGENT!! ILL GIVEBRAINLIEST! AND 100 POINTS Match each picture with the correct type of substance. Write the integer that represents the situation.The temperature was 5F. It dropped so that the temperature was -5F..represents the change in temperature.F When the Republican party was created, it supporteda- progressive Northern valuesb- more power for the state governmentsc- the interests of rural agricultural statesd- conservative Southern ideas Is 7 a factor of 49t + 30? Shelia is playing a game with a 6-sided number cube. The number rolled determines the number spaces moved a baseball team plays in a stadium that holds 68000 spectators. with the ticket price at $11 the average attendance has been 28000. when the price dropped to $10, the average attendance rose to 34000. assume that attendance is linearly related to ticket price. a drug which has high affinity for nicotinic receptors on neurons but not on skeletal muscle fibers and is a pharmacological antagonist not an agonist. phm 350 quizlet