How do you tell if a system has no solution or infinitely many?

Answers

Answer 1

When a system has no solution it is called inconsistent equation

When a system has infinitely many solution it is called consistent and dependent equations

How to tell if a system is are inconsistent equations

A system is considered to be inconsistent if there is no solution. There is no solution because the line graphs are parallel and not intersecting.

x + 5y = 4   and x + 5y = −2

subtracting gives

0 = -6 no solution  

this is an instance

How to tell if a system is consistent and dependent equations

A consistent system is dependent if there are an endless number of possible solutions. The two equations represent the same line when you graph them. An instance of the situation is

3x + y = 4

−6x − 2y = −8

subtracting gives

9x + 3y = 12 - none eliminates, meaning infinite many solutions

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Related Questions

what would 12 and 3/4 less than the product of 7 and a number x be?

Answers

The statement as an inequality expression is 12.75 < 7x

How to determine the statement as an expression?

From the question, we have the following statement that can be used in our computation:

12 and 3/4 less than the product of 7 and a number x

Express the numbers as fractions

So, we have the following representation

12 + 3/4 less than the product of 7 and a number x

Introduce the inequality symbols

So, we have

12 + 3/4 < the product of 7 and a number x

Next, we have

12 + 3/4 < 7x

Express as decimal

12.75 < 7x

hence, the expression is 12.75 < 7x

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Why can the square root property be used to solve a quadratic equation?

Answers

Therefore, as a result square root property can be used to solve a quadratic equation.

Describe equation.

To create an equation, the equal sign is placed between two numerical or variable expressions, as in 4x+9=25.

The answer is a number that may be used in an equation to replace the variable.

According to the given question:

In order to isolate the variable being solved,

the square exponents are removed using the Square Root Property.

The positive and negative values of the number that, when multiplied by itself, equals x are provided by the formula x=±√c x = ± c.

Therefore , as a result square root property can be used to solve a quadratic equation.

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A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.7 MB.
Yesterday, there were 960 downloads of the song, for a total download size of 3192 MB. How many downloads of the standard version were there?

Answers

There were total 600 songs downloaded of standard quality

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, number of songs of Standard Quality Downloaded be x

number of songs of High Quality Downloaded be y

According to the Question:

x + y = 960 ----------(i)

2.5x + 4.7y = 3192 ----------(ii)

Multiplying the equation 1 by 2.5

2.5x + 2.5y = 2400 ----------(iii)

Substracting Equation 3 from equation 2

2.2y = 792

y = 360

So, x = 600

There were total 600 songs downloaded of standard quality

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Which theorem justifies the statement △ ABC ≅ △ def?

Answers

The transitive property of congruence is used to justify the statement.

According to the transitive property, if A and B are congruent and if B is congruent with C, then A must also be congruent with C. In other words, two things are congruent to each other if a third object is congruent to them.

Since AB and EF are both congruent to DE in the sentence "If AB DE, EF DE therefore AB EF," AB must likewise be congruent to EF in accordance with the transitive property.

The additional attributes you mentioned don't apply in this situation. According to the symmetric property, if A and B are congruent, then so is B. According to the reflexive quality, each item corresponds to itself. And congruence does not have the property of multiplication.

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Complete question:

if AB ≅ DE, EF ≅ DE then show that AB ≅ EF ?

how many integers between 2022 and 2388 have four distinct digits arranged in an increasing order

Answers

Answer:

Step-by-step explanation:

360

How do you write a range of numbers?

Answers

The easiest way to quantify data variability is to look at the range, or the difference between the greatest and smallest value.

what is range ?

The difference between the highest and lowest values for a given data set is the statistics' range. The difference between the highest and lowest observation could likewise be used to describe the range.The sample interval is defined as the highest value less the smallest value. A crucial indicator of variability for continuous variables is the sample range.

here ,

Use an en dash (not an em dash or a hyphen) with no spaces between them.

If at least one number in the range is between 1 and 100, such as 3-11, 68-70, or 83-343, use all the digits (i.e., no elision).

Use all the numbers to represent multiples of 100, such as 100-127, 310-329, or 2,220-2,254.

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What is the slope of a line parallel to the line whose equation is x+y=-4? Fully simplified.

Answers

The slope of a line that is parallel to x + y = -4 is: -1.

How to Find the Slope of Parallel Lines?

If we have two lines that are parallel to each other, their slopes will be the same.

For example, if the slope of one line is 4, the slope of the line that is parallel to the line will also have a slope of 4.

To find the slope of the equation, x + y = -4, rewrite it in slope-intercept form, y = mx + b:

x + y = -4

y = -x - 4 [subtraction property of quality]

The slope is therefore -1. Therefore, the slope of the line that is parallel to the line whose equation is x + y = -4 is: -1.

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Find the arithmetic sequence for -16,-21,-26,-31
Show steps please!

Answers

Step-by-step explanation:

Find the arithmetic sequence for -16,-21,-26,-31

-21 - (-16) = -5

-26 - (-21) = -5

-31 - (-26) = -5

Answer:

Each following number is five less than the previous.

Simplify 9x - x + 4xy - 2xy pls be fast

Answers

Answer: 8x + 2xy

Step-by-step explanation:

9x - x + 4xy - 2xy

8x + 2xy

We can only compare the 9x with -x and the 4xy with the -2xy

What is parallel to Y =- 5x 3?

Answers

The equation of the line that is parallel to the line y = - 5x + 3 will be y = - 5x + c.

What is the equation of a parallel line?

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y = - 5x + 3

Then the equation of the line that is parallel to the line y = - 5x + 3 will be written as,

y = - 5x + c

The equation of the line that is parallel to the line y = - 5x + 3 will be y = - 5x + c.

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9. David traveled from Brunswick Maine to Sandiego California. The distance
between the cities is approximately 3.2 x 10³ miles and the trip took 4
days.
How many miles, written in scientific notation, did David travel per day?

Answers

Answer:

5 per day

Step-by-step explanation:

which of the following are true of AB given A(9, 5) and B(15, 2)? select all that apply

Answers

Option A, C, and E are the correct option.

What is midpoint?

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Given, the coordinate of the vertices of AB line segment are A(9, 5) and B(15, 2).

The formula midpoint of the points (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁ + y₂)/2) .

The midpoint of the line segment AB is ((9 + 15)/2, (5+2)/2)

= (24/2 , 7/2)

= (12, 3.5)

The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₁ - y₂)/(x₁ + x₂).

The slope of the line AB is (5 - 2)/(9 - 15) = 3/(-6) = -1/2.

The slope of perpendicular line of a line with slope m is = -1/m.

The slope of perpendicular bisector is - 1/( -1/2) = 2

The distance of midpoint from the endpoints is equal. The perpendicular bisector of the line passes through the midpoint.

The distance of midpoint from the endpoints of the segment to any point on the perpendiculars bisector are equal.

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What is the value of k for which the roots of the equation 3x 2 )+ KX 3 0 are equal?

Answers

The equation 3x2 + Kx - 30 has equal roots when the discriminant (D) of the equation is equal to zero.

The discriminant of a quadratic equation is given by the formula D = b2 - 4ac, where a = 3, b = K, and c = -30.

Substituting these values into the formula, we get:

D = K2 - 4(3)(-30)

D = K2 + 360

Therefore, K2 = -360, and K = √(-360) = 6√(-5)

Therefore, the value of k for which the roots of the equation 3x2 + Kx - 30 are equal is 6√(-5).

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4. -/1 points Scalc8 16.2.002. Evaluate the line integral, where C is the given curve. |(x/Y) ds, C: x= x, y = t4, 15t54 Need Help? Read It Talk to a Tutor Submit Answer

Answers

So the value of the line integral given point scale is [tex]\frac{15}{16}[/tex] -4cos6-6 .

To evaluate the line integral X signed by ideas oversee. Where C is the line segment from 2 to 36

First we find the vector determined by the two points

So ,

36 -2 = 34

Starting point is 2.

The segment can be para militarized as vitally equal to 2+3T+40 =3T 2+40 .

They belonging to close interval 0- one. Next we find the derivative of the Para militarism action y¹T= 34.

This implies the strength of y¹T = [tex]\sqrt{3^{2}+4^{2} }[/tex]

= 5

Finally we calculate the integral X signed by ideas oversee which is equal to treaty sign 2+ 40×DT Over 0- one.

Now report 2+ 40 equal to you. So implies 4DT is equal to DU and when T is equal to zero.

20=U

So next this integral becomes 15×2 to 6 Juju -2 x 4.

Comes out to be 15 x 16. 0-2. Sign your deal. Now applying integration by parts.

We have 15 x 16. 0-2 cause you plus integration of causal deal Limit 2- 6.

Now we have 15/16. On applying the limits -4 cos six plus sign 6- sign too.

So therefore final answer becomes [tex]\frac{15}{16}[/tex] -4cos6-6 .

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Do the one you would like please show work

Answers

6) According to the time and work concept, 18 hours would be taken for James to complete the work.

How to solve time and work problems?

Knowing the formulas can immediately lead you to a solution upon reading the question. Therefore, knowing the formula for any topic in numerical ability simplifies the solution and associated calculations.

Here are a few of these essential time and work formulas for your reference.

Work Performed = Time Required Rate of Work

Work Rate = 1 / Time Taken

Duration = 1 / Rate of Work

If a piece of work is completed in x number of days, then the amount of work completed in one day is equal to 1/x. Total Work Completed = Number of Days Efficiency.

Time and Productivity are inversely proportional to one another X:

if y is the ratio of the number of men needed to complete a piece of work, then y:x is the ratio of the time required by those men to complete the work.

If x number of people can complete W1 work in D1 days while working T1 hours per day, and y number of people can complete W2 work in D2 days while working T2 hours per day, then the relationship between them is Time and Work Formula i..e;

[tex]\frac{M1.D1.T1}{W1} =\frac{M2.D2.T2}{W2}[/tex]

Calculation:

Monica can do the work in 9 hours so she does a work of 1/9 in an hour.

The same work done by Monica and James takes 6 hours so they both can do a 1/6 th of work in an hour.

Developing the relation:

[tex]\frac{1}{9}+\frac{1}{x}=\frac{1}{6}[/tex]

here, the speed of Monica is 1/9 and the speed of James in completing the work is 1/x and the speed of them both is 1/6

So solving this equation we get ,

[tex]6x+54 = 9x[/tex]

[tex]3x = 54\\x=18\\[/tex]

So the speed of James in completing the work is 1/18th in an hour So he takes 18 hours to complete the whole work by himself alone.

According to the time and work concept, 18 hours would be taken for James to complete the work.

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What is the difference of two squares called?

Answers

Answer:

The difference of two squares is a method of factorising used when an algebraic expression includes two squared terms, one subtracted from the other: a 2 – b 2 When we are subtracting a squared term from another squared term we can use the difference of two squares method. Square numbers are sometimes called perfect squares.

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hope this helps

Step-by-step explanation:

At the city museum, child admission is $5.40 and adult admission is $9.40. On Tuesday, three times as many adult tickets as child tickets were sold, for a total
sales of $974.40. How many child tickets were sold that day?

Answers

The number of tickets sold will be equal to 29.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the number of child tickets that were sold

Let y represent the number of adult tickets that were sold

5.30x +9.40y= 1206

The number of adult tickets sold was three times greater than the number of child tickets,

y= 3x

Substitute 3x for y in the equation,

5.40x + 9.40y= 974.40

5.40x + 9.40(3x)= 974.40

5.40x + 28.2x= 974.40

33.6x= 974.40

Divide both sides by the coefficient of x which is 33.5,

x= 974.40/33.6

x = 29

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What are the 5 ways to prove congruence?

Answers

The five ways to prove the congruence theorem are listed as,

SSS TheoremSAS TheoremASA TheoremAAS TheoremRHS Theorem

Here we have to find the 5 ways to prove congruence.

As we all know that, according to the concept of triangle, then term congruence referred as if two shapes are congruent if and only if they have the exactly the same sides and exactly the same angles.

Based on these we have derived 5 sub theorem, from the congruence theorem, they are listed as,

1) SSS   (side, side, side)

2) SAS   (side, angle, side)

3) ASA   (angle, side, angle)

4) AAS   (angle, angle, side)

5) HL   (hypotenuse, leg)

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ryan is going to rent a truck for one day. there are two companies he can choose from, and they have the following prices. company a charges an initial fee of and an additional cents for every mile driven. company b charges an initial fee of and an additional cents for every mile driven. for what mileage will company a charge less than company b? write your answer as an inequality, using for the number of miles driven.

Answers

The mileage for which company A charge less than company B , m < 65 ( an Inequality using the number of miles driven).

What is subtraction and division Properties of Inequality?

The subtraction property of inequality is applied when an inequality holds the addition operator previously, i.e

x + a < b => x + a - a < b - a

=> x< b - a.

The division property of inequality is mainly applied to the shift coefficient of the variable to another side of the inequality, i.e

2x< b => 2x/2<b/2

⇒ x< b/2.

We have, ryan is going to rent a truck for one day. There are two companies say company A and company B, in which ryan have to choose one for rent a truck for one day.

Let , Total cost charged by company A = $a

Total cost charged by company B = b

The number of miles driven = m miles

For Company A, initail fee = $40 and

Additional charge = .80 cents/mile driven

so, a = 40 + 0.8m --(1)

For Company B, initail fee = $53 and

Additional charge = .60 cents/mile driven

so, b = 53 + 0.6m --(2)

We want to know the mileage at which company A charges less than B i.e a < b

Now, using equation (1) and (2) ,

40 + 0.8m < 53 + 0.6m

Simplify the above Inequality,

=> 40 + 0.8 m - 40 < 53 - 40 + 0.6 m

=> 0.8 m < 13 + 0.6 m

=> 0.8 m - 0.6 m < 13 + 0.6 m - 0.6 m

=> 0.2 m < 13

=> m < 13/0.2

=> m < 130/2 = 65

Hence, required Inequality is m< 65.

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Complete question :

ryan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.

Company A charges an initial fee of $40 and an additional .80 cents for every mile driven.

Company B charges an initial fee of $53 and an additional .60 cents for every mile driven.

For what mileages will Company A charge less than Company B? Write your answer as an inequality, using m for the number of miles driven

3 pencils cost £2.25.
How much do 7 pencils cost?

Answers

Answer: they would cost  £5.25

Step-by-step explanation:  £2.25 divided by 3 = 0.75 0.75x7=  £5.25

determine the average rate of change in concentration of b from t=0 s to t=212 s.

Answers

The  average rate of change in concentration of b from t= 0 s to t = 212 s as calculated from the data given above is 0.004811  m/s.

The average rate of change is given by the formula ,

concentration change / time change.

First we will calculate the rate of change for A

rate change = 0.140 - 0.650 = -0.510 M

time difference = 212 s − 0 s = 212 s

Rate of concentration change = -0.510 M / 212 s = -0.002405 M/s

The - sign indicates that the [A] is decreasing with time.

In order to calculate the concentration rate of B we will write it in the form of stoichiometry

B = 2 x 0.002405 = +0.004811 m /s

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In quadrilateral pqrs, the coordinates are p(0, 0), q(a + c, 0), r(2a + c, b), and s(a, b). How can you use coordinate geometry to show that the diagonals are perpendicular?.

Answers

Find the slopes and their product should be - 1 for the diagonals to be perpendicular.

The points p and q have zero y-coordinate, so they are on the y-axis.

The points r and s have same y-coordinate b, so they are on the parallel line to the y-axis.

The points p and r are opposite to each-other, similarly points s and q are opposite points. So the diagonals are pr and qs. This is also known from the order of vertices in the name of the quadrilateral.

Slopes are:

m(pr) = (b - 0)/(2a + c - 0) = b / (2a + c)m(qs) = (b - 0) / (a - a - c) = - b/c

The product of slopes:

b / (2a + c) × ( - b / c) = - b² / (2ac + c²)

The diagonals are perpendicular if:

b² = 2ac + c²

What can you say about the relationship between the volume of a rectangular prism and a pyramid?

Answers

When a prism and pyramid have the same base and height, their volumes are inversely proportional: the volume of the pyramid is one-third that of the prism.

A pyramid is a three-dimensional object that has faces made of triangles and a base made of polygons. The base is the bottom, while the faces are the sides.

A prism is a three-dimensional object having two identically shaped and sized polygonal bases and rectangular sides. In the actual world, a cardboard box serves as an illustration of a prism.

When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism.

In reality, when this is the case, the pyramid occupies precisely one-third of the prism's volume. When a prism and pyramid have the same base and height, their volumes are inversely proportional: the volume of the pyramid is one-third that of the prism.

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GIVING 40 POINTS
Given the sequence of numbers, a4=2, a5=4, a6=6, a7=8, and a8=10.

Which recursive rule can be used to find the nth term of the sequence, an?

Answers

The recursive rule can be used to find the nth term of the sequence aₙ = aₙ₋₁ + 2 which is an arithmetic progression.

What is arithmetic progression ?

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence

From the given sequence we see that:

Common difference is 2

Find the first term:

a₁ + (n-1)d  = aₙ

a₁ + 3*2 = a₄

a₁ + 6 = 2

a₁ = -4

The recursive formula for this sequence is:

a₁ = -4

aₙ = aₙ₋₁ + 2

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What does range mean *?

Answers

The range of possibilities for variation or the boundaries between them: the price spectrum for steel; many different styles. the size or scope of a process, action, or operation .

what is range ?

The range of values between the highest and lowest values for a certain data collection is known as the statistical range. It is also possible to show the range by comparing the highest and lowest observational values. The sample interval is found by subtracting the highest value from the lowest. For continuously varying variables, the sample range is a key measure of variability.

here ,

Between the lowest and greatest numbers, there is a range. In the example, the lowest value is 2, and the highest is 9.

The range therefore equals 9 x 2 = 8.

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Find the output for f(x) = -3x+4 when x =-5
PLEASE SHOW WORKKK
I NEED THIS ASAP

Answers

-3(-5)+4
15+4

Answer: 19

Plug in -5 for x

Answer:

f(x)=19

Step-by-step explanation:

x=-5

f(x)=-3(-5)+4

f(x)=15+4

f(x)=19

I think this is how you do it, but I haven't done these problems in a while so I could be incorrect.

Find 375g as a percentage of 15kg.

Answers

Answer:

[tex] \sf \: 375g \: is \: 2.5\% \: of \: 15kg[/tex]

Step-by-step explanation:

Conversion of 15 kg into grams,

→ 1 kg = 1000 g

→ 15 kg = 15000 g

Let's find the percentage,

→ (375g ÷ 15kg) × 100

→ (375/15000) × 100

→ 0.025 × 100

→ 2.5%

Hence, the answer is 2.5%.

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table.

A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry 25 dollars. Column 5 is labeled Ratio with entry e. Column 6 is labeled Percent Error with entry f.

What is the ratio? e =
What is the percent error

Answers

The ratio of the error is; 0.3333

The Percent error of the given problem is;  33.33%

How to find the percentage error?

We are given;

Amount spent by John on shopping = $75

Amount expected to spend = $100

Since this is what was given then it means we will have the following;

The approximate value to be spent = 100 dollars

Exact Value  spent = 75 dollars

Therefore, the error made is;

Error = Approximate value - Exact value  

Error = 100 - 75

Error =  25 dollars

Thus, the error when it is absolute is;

Absolute Error = ±25 dollars

Now, the ratio will be;

Ratio(e) = Error/exact value spent

e = 25/75 = 0.3333

Percent Error = error * 100%

Percent error = 0.3333 * 100%

Percent error =  33.33%

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Pleaseeeee helppp. I'm so confused.​

Answers

The missing number is 2

Answer:

x ≤ 2

Step-by-step explanation:

Brainliest pls btw did it help

Use graph paper, or the Distance Formula, to graph the points. Find the
distance between the given points. When necessary, round to the nearest
tenth.
(-6, -3) and (6, 2)

Answers

Answer: I think it's 13

Step-by-step explanation: So we need to fill in the distance formula. It's d=√((x_2-x_1)²+(y_2-y_1)²).

-6=x_1

-3=y_1

6=x_2

2=y_2

Now you plug in your coordinates to the formula, so you get d=√((6--6)²+(2--3²)

(6-(-6)²=144

(2-(-3²)=-7

So now 144+25=169

The square root of 169 is 13, so d=13. That should be your answer! Let me know if it's right

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please help, thanks in advance :)) Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not? People always admire this picture Which of the following can be determined by this diagram A. The energy of the mongoose is passed on to the hare B. The cheetah supplies energy to a variety of organisms C. The Energy of the Acacia tree is passed to the impalaD. The aardvark ,pangolin , and mongoose are all producers PLEASE HELP!!! Approximate one of the solutions to the system of equations graphed below? PLEASE HELP I LITERALLY CAN'TWhat volume does 1 mol of Ar(g) occupy at 25 C and 100 kPa?a) 24.8 L b) 1.0 L c) 22.4 L d) 40.0 L What volume is occupied by 1 mol of Cl2(g) at SATP?a) 12.4 L b) 11.2 Lc) 22.4 L d) 24.8 L An art teacher is making packages of paintbrushes and plant for his students.He has 24 brushes and 40 tubes of paint. Each package will have the same numberof brushes and the same number of tubes of paint.a. What is the greatest number of packages that the art teacher can make usingall the paintbrushes and paint? Show your work. Which policy would most likely decrease a city's gasoline use? Read the following sentence:Between the upcoming vacation, my sister's new baby, and my new project at work, I can barely sleep!Which attitude does the narrator most likely have, based on the sentence?A. He is excited about the new developments in his life.B. He is frustrated with too many responsibilities.C. He is nervous about failing in his obligations.D. He is nervous about the events in his life. The brown-colored bones in each animal help to connect their limbs to a specific joint in the torso, or middle of their body. What type of structure do these bones represent, and what is their significance in terms of evolutionary relationships? Darry has to explain to the doctors that Johnny's family doesn't care and the greasers are his family. Why does he do this? coDuring which stage of a product life cycle do you only need to inform customers about your product?During thestage of your product life cycle, you only need to inform customers about your product Compare the drops of wax that harden in hot water and Cold water. In parallelogram JKLM if LN=12 find LJ. The four main factors of production are land, or the physical space and natural resources, labor, or the workers, capital, or the money and equipment, and entrepreneurship, or the ideas and drive, which are used together to make a successful attempt at selling a product or service according to traditional economic ... What is the main body system affected from sickle cell anemia? Which of these eating disorders involves binging on largeamounts of food followed by purging in an attempt to avoidweight gain?O Anorexia nervosaO Bulimia nervosaO Obesity Help me with this please Can someone be nice enough and help me out with these questions:)Answer the questions1. For how many years has San Juan been the capital of Puerto Rico?2. On which of his voyages did Christopher Columbus land on Puerto Rico?3. Why did the Spaniards build El Morro?4. What are two things you'll see when you visit the cathedral? PLEASE HELP! SPANISH!Choose the correct answer to fill in the blanks.1. A Marco y Juan _____ los brazos.a. les duelenb. le duelec. les dueled. te duelen