Given the equation 5X-10=50 which properties will be used to solve for XA. Adition and subtractionB. Subtraction and divisionC. Adition and division D. Subtraction and Multiplication

Given The Equation 5X-10=50 Which Properties Will Be Used To Solve For XA. Adition And SubtractionB.

Answers

Answer 1

Let's solve for x and see what properties are used

First, add 10 to both sides of the equation

[tex]\begin{gathered} 5x-10=50 \\ 5x-10+10=50+10 \\ 5x=60 \end{gathered}[/tex]

Now, divide by 5 on both sides of the equation

[tex]\begin{gathered} \frac{5x}{5}=\frac{60}{5} \\ x=12 \end{gathered}[/tex]

Therefore, the correct answer is C. Adition and division


Related Questions

Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need to cover?

2 sides of shed are rectangles with a base of 12ft and a side of 6 ft.

The other two sides are squares with sides of 6 ft.

The roof consists of four triangles, 2 of the triangles have a base of 6 feet and a height of 6 feet.

The other two triangles have a base of 12 ft and a height of 6 ft

Answers

The total surface area Paul is required to paint is 36 yard square.

How to find surface area?

He needs to buy paint to cover all outside surfaces of his shed .

2 sides of shed are rectangles with a base of 12ft and a side of 6 ft.

Therefore,

area of a rectangle = lw

where

l = lengthw = width

area of the rectangle = 12 × 6

area of the rectangle = 72 ft²

The rectangle are two.

Hence, area of the two rectangular faces = 72 + 72  = 144 ft²

The other two sides are squares with sides of 6 ft.

Therefore,

area of the two squares = 6² + 6² = 36 + 36 = 72 ft²

The roof consists of four triangles,

2 of the triangles have a base of 6 feet and a height of 6 feet.

Therefore,

area of the two triangles = 2 (1 / 2 × 6 × 6) = 36 ft²

The other two triangles have a base of 12 ft and a height of 6 ft.

area of the other triangle = 2(1 / 2 × 12 × 6) = 72 ft²

Hence,

total area the paint will cover = 72 + 36 + 72 + 144 = 324 ft² = 36 yard²

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help ................

Answers

Percentage of a number

Find a number which

its a 100% percentage

henW

When 232 is 290%

Then find

X = (100%/290)• 232

Divide 232/29 = 10% = 8 exactly

Now multiply by 10 = 10• 8 = 80

Then 100% = 80

what happens to a circle's circumference when the radius is doubled

Answers

ANSWER

The circumference doubles

EXPLANATION

Let the radius of the circle be r and the circumference be C.

The circumference of a circle is given as:

[tex]C=2\pi r[/tex]

If the radius is doubled, the radius becomes:

[tex]2r[/tex]

The circumference now becomes:

[tex]\begin{gathered} C^{\prime}=2\pi\cdot(2r) \\ C^{\prime}=2\cdot(2\pi\cdot r) \\ C^{\prime}=2\cdot(2\pi r) \\ C^{\prime}=2C \end{gathered}[/tex]

Therefore, the circumference doubles when the radius is doubled.

Arrange the quantities in order from smallest to largest.
2.6 km​, 109,000 mm​, 41.7 hm

Answers

The order of the values using the basic unit of meters from smallest to largest. is: 109000 mm < 2.6 km < 41.7 hm

What are the units of measurement of distance or length?

Distance is the gap between any two points under consideration.

The basic unit for measuring distance is the meter.

There are larger as well as smaller units for measuring length or distance which are based on the unit of meter.

The units are as follows:

millimeter, mm = 0.001 m

centimeter, cm = 0.01 m

decimeters, dm = 0.1 m

meter, m = 1 m

kilometer, km = 1000 m

hectometer, hm = 100 m

Now to compare the given quantities making the units same as two quantities can only be compared only when there units are same :

Considering the given values;

2.6 km = 2600 m

109,000 mm = 109 m

41.7 hm = 4170 m

Therefore, after comparison arranging the quantities in order from smallest to largest is 109000 mm < 2.6 km < 41.7 hm

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Is the point (-255,76) on the line shown below

Answers

Answer:

yes it's is shown in the diagram below and prosperity more than your expectation for me too anymore I just

graph the system below2x-3y=-183x+y=-5

Answers

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following system of equations:

[tex]\begin{gathered} 2x-3y=-18 \\ \\ 3x+y=-5 \end{gathered}[/tex]

To graph, we calculate the intercepts in each equation to then draw the straight line corresponding to each equation, like this:

[tex]\begin{gathered} \text{ For }2x-3y=-18 \\ \\ \text{The x-intercept} \\ \\ \:2x-3\cdot 0=-18 \\ \\ x=-9\rightarrow(-9,0) \\ \\ \text{The y -intercept} \\ \\ 2\cdot0-3y=-18 \\ \\ y=6\rightarrow(0,6) \\ \\ \\ \text{For }3x+y=-5 \\ \\ \text{The x-intercept} \\ \\ 3x+0=-5 \\ \\ x=-\frac{5}{3}\rightarrow\left(-\frac{3}{5},0\right) \\ \\ \text{The y- intercept} \\ \\ \:3\cdot 0+y=-5\: \\ \\ y=-5\rightarrow(0,-5) \end{gathered}[/tex]

Now we graph:

continued - calculating gross payRemember, this is money round to the nearest Penny/hundredths place. Take OT rate as 1.5 times the regular pay rate.Take the regular working hours per week as 40 hours.

Answers

Given Data:

Total working hours is = 51 hours.

Pay rate=$8.45.

OT rate=1.5 times the regular pay rate.

Regular working hours is 40 hours.

Regular pay can be determined as,

[tex]RP=40\text{ hours}\times8.45\text{ USD=338 USD}[/tex]

Thus, the regular pay is $338.

The OT rate can be determined as,

[tex]\begin{gathered} OT=1.5\times8.45\text{ USD} \\ =12.675\text{ USD} \end{gathered}[/tex]

Thus, the overtime rate is $ 12.68.

The overtime pay can be determined as,

[tex]\begin{gathered} OT\text{ Pay=(51-40) hours}\times12.675\text{ USD} \\ =139.425\text{ USD} \end{gathered}[/tex]

Thus, the overtime pay is $139.43.

The gross pay can be determined as,

[tex]\begin{gathered} GP=RP+OT\text{ Pay} \\ =338\text{ USD+139.425 USD} \\ =447.425\text{ USD} \end{gathered}[/tex]

Thus, the gross pay is $ 447.425.

is B the right answer? If not, which one is?

Answers

Given the rational function;

[tex]f(x)=\frac{3x+4}{x(x-2)}[/tex]

To determine the constraint for this function, we shall set the denominator equal to zero;

[tex]\begin{gathered} x(x-2)=0 \\ \text{Hence;} \\ x=0 \\ x-2=0 \\ x=2 \end{gathered}[/tex]

This means the equation does not exist when x = 0, and when x = 2.

ANSWER:

The correct answer is option C.

18. A rectangular table cloth has a width of 3 yards 1 foot and a length of 4 yards. Part A. Debbie says that the width could also be written as 4 feet. Explain wether you agree or disagree with Debbie. Part B. The cost of the fabric used to make the tablecloth is $0.25 per square foot. Explain how to find the cost of the fabric needed to make the table cloth.

Answers

A)

In order to check this sentence, we need to convert the value from foot to yard.

Knowing that 1 yard is equal 3 feet, we have that:

[tex]3\text{ yards 1 foot}=3\cdot3\text{ feet + 1 foot}=9\text{ feet + 1 feet}=10\text{ feet}[/tex]

So Debbie's affirmation is incorrect, therefore we disagree.

B)

First we need to calculate the area of the table cloth.

Converting the length to foot, we have:

[tex]4\text{ yards}=4\cdot3\text{ feet}=12\text{ feet}[/tex]

Now, calculating the area (which is the product of the length and the width), we have:

[tex]\text{Area}=10\cdot12=120\text{ ft}^2[/tex]

If each square foot is $0.25, we just need to multiply the area by the cost of one square foot in order to find the cost of the fabric for the table cloth:

[tex]\text{Cost}=120\cdot0.25=30[/tex]

So the cost is $30.

FIRST PERSON TO ANSWER THIS GETS BRAINILEST.
Determine if the two expressions in each pair are equivalent.If they are equivalent,select the property that is illustrated.

Answers

Answer:

The second one is the Multiplicative Property of Zero.
The fourth one is the Commutative property.

Answer:

The second and third one

Step-by-step explanation:

Triangles DEF and HJK are similar. DEF has side lengths DE=4, EF=6, FD=8. Which of the following could be the side lengths of HJK?• 2, 6, 7• 2, 5, 7• 8, 12, 16• 5, 7, 9

Answers

Answer:

  (c)  8, 12, 16

Step-by-step explanation:

You want to identify the side lengths that are proportional to lengths 4, 6, and 8.

Ratios

Reducing the ratios to lowest terms, we can compare them:

desired ratio: 4 : 6 : 8 = 2 : 3 : 42 : 6 : 7 — reduced, not equivalent2 : 5 : 7 — reduced, not equivalent8 : 12 : 16 = 2 : 3 : 4 . . . . . same as the desired ratios5 : 7 : 9 — reduced, not equivalent

Side lengths 8, 12, 16 will form a triangle similar to ∆DEF.

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Teri ran 8 kilometers. One mile is approximately equal to 1.6 kilometers. Which measurement is closest to the number of miles Teri ran?

Answers

The closest distance or the number of miles Teri ran is equal to 5 miles.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of required no. of units.

It is given that Teri ran 8 kilometers.

It is also given that , 1 mile is approximately equal to 1.6 kilometers.

This is a question of unitary method. We know that value of one unit is given as 1 mile is equal to 1.6 kilometers approximately. We know have to calculate the no. of miles Teri ran , by converting 8 kilometers to miles.

So ,

1 miles = 1.6 kilometers

This implies :

8 kilometers = 8 / 1.6 miles

or

8 kilometers = 5 miles

or

8 kilometers is approximately equal to 5 miles.

Therefore , the closest distance or the number of miles Teri ran is equal to 5 miles.

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the last six days of August 2011 all time records for high temperatures in Austin Texas which of the following values that identifies the mean absolute deviation for these temperatures F. 4G. 107H. 103J. 3.3

Answers

We have to calculate the mean absolute deviation (MAD) for these temperatures.

We can express the MAD as:

[tex]\text{MAD}=\frac{1}{n}\sum ^n_{i=1}|x_i-\bar{x|}[/tex]

So first we have to calculate the mean of the sample. We can do this as:

[tex]\bar{x}=\frac{1}{n}\sum ^n_{i=1}x_i=\frac{1}{6}(103+110+112+109+105+103)=\frac{1}{6}\cdot642=107[/tex]

Now we can calculate the MAD as:

[tex]\begin{gathered} \text{MAD}=\frac{1}{6}(|103-107|+|110-107|+|112-107|+|109-107|+|105-107|+|103-107|) \\ MAD=\frac{1}{6}(4+3+5+2+2+4) \\ \text{MAD}=\frac{1}{6}(20) \\ \text{MAD}\approx3.3 \end{gathered}[/tex]

Answer: The MAD is approximately 3.3.

Convert 103 degrees Fahrenheit to degrees Celsius. (Write your answer in fraction format)

Answers

to convert Fahrenheit to Celcius we have to apply the next formula:

C°= (F°-32) x 5/9

Replacing:

C = (103-32)x 5/9

C = 71 x 5/9

C = (71 x5)/9 = 355/9

Simplify the expression 2^5 +5^4

Answers

[tex]\begin{gathered} \text{Given} \\ 2^5+5^4 \end{gathered}[/tex][tex]\begin{gathered} 2^5+5^4 \\ =32+625 \\ =657 \end{gathered}[/tex]

Therefore

[tex]2^5+5^4=657[/tex]

an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours.Wich has a graph that best represents this rate?

Answers

If an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H  best represents this rate.

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours,

hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per hour

The slope (rate of change) of a line (m) is given by:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

Slope of the line , [tex]m = \frac{-20 - 0}{10 - 0}[/tex]

Slope of the line is - 2 meters per hour

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

Slope of the line, [tex]m = \frac{-70 - 0}{10 - 0}[/tex]

Slope of the line is -7 meters per hour

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

Slope of the line, [tex]m = \frac{-35 - 0}{10 - 0}[/tex]

Slope of the line is -3.5 meters per hour

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

Slope of the line, [tex]m = \frac{-3.5 - 3.5}{10 - 0}[/tex]

Slope of the line is 0 meters per hour.

Therefore, if an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H  best represents this rate.

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calculate the perimeter of kite ABCD where AB = 29 cm and CD = 47 cm​

Answers

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

In the game of baseball, home plate is a pentagon.What is the measure of the angle at the bottom of home plate?A. 60°B. 90°C. 120°D. 135°

Answers

EXPLANATION

Since the figure is like a pentagon, we need to add the interior angles in order to get the needed angle.

The first part of the figure is composed of a square with two right angles of 90 degrees and two angles of 135, making a total of 90+90+135+135 = 450 degrees.

The left needed angle should add a total of 540 degrees, by the Sum of Interior Angles of a Pentagon Theorem, as follows:

450 + bottom angle = 540

Subtracting -450 to both sides:

bottom angle = 540 - 450

Subtracting angles:

bottom angle = 90 degrees

In conclusion, the value of the bottom angle is 90 degrees.

write the partial fraction decomposition of the rational expression 3x-5/x²-4x-32

Answers

[tex]\frac{3x-5}{x^2-4x-32}=\frac{3x-5}{(x+4)(x-8)}[/tex]

Denominator has been factorized on the right.

Now we need to write this fraction as a sum of two fraction.

[tex]\frac{3x-5}{(x+4)(x-8)}=\frac{A}{(x+4)}+\frac{B}{(x-8)}=\frac{A(x+4)+B(x-8)}{(x+4)(x-8)}[/tex][tex]A(x+4)+B(x-8)=3x-5\text{ at this stage we will find A B constants}[/tex]

when x = 8 we have following

[tex]A(8+4)+B(8-8)=3\cdot8-5\rightarrow12A+0=19\rightarrow A=\frac{19}{12}\approx1.58[/tex]

Similarly when x =-4 A = 17/12 these are the constants

Given that bisects use the diagram above to complete the following statement.m∠AOB= m∠…

Answers

A line is said to bisect an angle if it divides it in two equal parts.

Since the segment OB bisects the angle AOC, then the angles AOB and BOC have the same measure.

Therefore, the complete statement is:

[tex]m\angle AOB=m\angle BOC[/tex]

Rachel wants to buy the same number of gift bags and bows. Gift bags are sold in packs of 6. Bows are sold in packs of 9. What is the least number of gift bags and bows that Racheal can buy?

Answers

The question wants the "lowest common multiple" of 6 and 9, so first, lets find some of the miltiples of 6 and 9:

[tex]\text{Multiple}(6)=\mleft\lbrace6,12,18,24,30,36,42,49,\ldots\mright\rbrace[/tex][tex]\text{Multiple}(9)=\mleft\lbrace9,18,27,36,45,54,\ldots\mright\rbrace[/tex]

We can see that 18 is a commom multiple of 6 and 9, and is also the smallest, so the lowest common multiple of 6 and 9 is 18. So the least number of gift bags and bows that Rachel can buy is 18.

Solve the quadratic equation X^2+5x+6=0 using the completing the square method. Be sure to explain each step.

Answers

To complete the perfect trinomial, we add (5/2)² to the given equation and get:

[tex]x^2+5x+(\frac{5}{2})^2+6=(\frac{5}{2})^2.[/tex]

Subtracting 6 we get:

[tex]x^2+5x+(\frac{5}{2})^2=\frac{25}{4}-6=\frac{1}{4}.[/tex]

Therefore:

[tex](x+\frac{5}{2})^2=\frac{1}{4}.[/tex]

Finally, we get:

[tex]\begin{gathered} x+\frac{5}{2}=\pm\sqrt{\frac{1}{4}}, \\ x=\pm\frac{1}{2}-\frac{5}{2}. \end{gathered}[/tex]Answer: [tex]\begin{gathered} x_=-3,\text{ or x=-2.} \\ \end{gathered}[/tex]

A straight highway is 100 miles long, and each mile is marked by a milepostnumbered from 0 to 100. A rest area is going to be built along the highwayexactly 6 miles away from milepost 57. If m is the milepost number of therest area, which of the following equations represents the possible locationsfor the rest area?O A. \m-6| = 57OB. 157+ ml = 6O C. Im + 61 = 57OD. 157-ml = 6SUBMIT

Answers

Given:

Few data is given

Required:

To calculate which option is correct

Explanation:

157+ ml = 6 means a rest area built along the highway exactly 6 miles away from milepost 57.Therefore this is the correct answer

Required answer:

Option D

12–15. Melvin Indecision has difficulty deciding whether to put his savings in Mystic Bank or Four Rivers Bank. Mystic offers 10% interest compounded semiannually. Four Rivers offers 8% interest compounded quarterly. Melvin has $10,000 to invest. He expects to withdraw the money at the end of 4 years. Which bank gives Melvin the better deal?

Answers

The better deal between the offer at Mystic Bank and Four Rivers Bank is the deal at Mystic Bank.

What is the better deal?

In order to determine which bank has the better offer, the future value of the investment options have to be determined.

The future value of an investment is a function of the amount investment, the number of compounding, the years of the investment and the interest rate.

When an investment is compounded semi-annually, it means that it grows exponentially twice in a year. When an investment is compounded quarterly, it means that is grows exponentially four times in a year.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

Interest rate at Mystic bank = 10% /2 = 5%

Interest rate at Four Rivers Bank = 8% / 4 = 2%

Future value of the investment at Mystic bank :

$10,000 x (1.05)^(2 x 4) = $14,774.55

Future value of the investment at Four Rivers Bank :

$10,000 x (1.02)^(4 x 4) = $13,727.86

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Use the Law of Sines to find the indicated side x."(Assume c = 23.2. Round your answer to one decimal place.)

Answers

ANSWER

x = 21.6

EXPLANATION

We have that:

c = 23.2

To be able to solve this, we must first find angle

The sum of angles in a triangle is 180 degrees.

This means that:

=> 52 + 70 + 122+ =>

Sine Law says that the ratio of angle and side opposite the angle for any triangle equal.

This means that:

[tex]\frac{\sin A}{a}\text{ = }\frac{\sin B}{b}=\text{ }\frac{\sin C}{c}[/tex]

So, we can say that:

[tex]\begin{gathered} \frac{\sin52}{x}=\text{ }\frac{\sin58}{23.2} \\ \text{Cross}-\text{multiply:} \\ 23.2\cdot\text{ sin52 = x }\cdot\text{sin58} \\ \Rightarrow\text{ x = }\frac{23.2\cdot\text{ sin52}}{\sin58} \\ x\text{ = }21.6 \end{gathered}[/tex]

That is the value of x.

Hola!, me ayudan porfa!!
En la cerrada economía Chalupa, el consumo familiar triplica el de las unidades productivas y este supera en $2,500 al del gobierno, que tiene un equilibrio presupuestario y sus ingresos fueron $6,700. Si el consumo de capital fijo es 25% del PNB pm y el monto de impuestos netos de subsidios $1750 encuentre el ingreso nacional.

Answers

Answer:

hola comasa due when 123 dfosb971 24

Multiply 58*7 enter your answers in the boxes to complete the area model

Answers

We will get 406 after multiplication .

What does multiply mean?

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. A multiplication issue has two factors, a product, and two factors. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.Calculating the outcome of adding a number several times is known as multiplication in elementary algebra. Each of the numbers and is referred to as a factor of the product, which is the outcome of a multiplication.

   58 * 7 = 406

We will get 406 after multiplying .

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Need help with problems

Answers

You can write the relation between distance and time, as follow:

y = kx

where y is the distance, x is the time and k is the constant of proportionality.

k can be obtained with the given information, as follow:

k = 90/30 = 3

Then, the equation of the relationship is:

y = 3x,

for a time of 10 seconds, the distance traveled is:

y = 3(10) = 30

Hence, the answer is:

y = 3x , 30 feet

nothing changes with tangent

Answers

hello

to solve this question, we have to use trigonometric ratios and in this case, it was specified to use tangent

from the image above, we can see that we have the value of angle and opposite and we need to look for adjacent

trigonometric ratio is given as SOH CAH TOA

[tex]\begin{gathered} \text{soh}=\text{sin}\theta=\frac{opposite}{\text{hypothenus}} \\ \text{cah}=\cos \theta=\frac{adjacent}{hypothenus} \\ \text{toa}=\tan \theta=\frac{opposite}{adjacent} \end{gathered}[/tex]

now, let's use the formula of tangent to solve this problem

[tex]\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \text{opposite}=42 \\ \theta=64^0 \\ \text{adjacent}=x \\ \tan 64=\frac{42}{x} \\ x=\frac{42}{\tan 64} \\ x=20.48 \end{gathered}[/tex]

from the calculations above, the value of x is equal to 20.48

QuestionIn ABC, C = 64°, c = 32, and b = 33. What are the two possible values for angle B to the nearest tenth of a degree?Select both correct answers.

Answers

Two possible diagrams of the triangle are shown below

To find angle B in each triangle, we would apply the law of sines which is expressed as

a/SinA = b/SinB = c/SinC

For either of the triangles, by applying the sine law, we have

33/Sin B = 32/Sin 64

By crossmultiplying, we have

32 SinB = 33 Sin 64

Sin B = (33 Sin 64)/32 = 0.9269

We would find angle B by finding the inverse of sine 0.9269

Thus,

B = Sin^-1(0.9269) = 68

This is an acute angle. B can also be an obtuse angle. Greater than 90 but less than 180 degrees). Thus, another value for B is

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What were the implications for both the Northern the energy carried by sound waves is wavelength. it is produced by objects that blank Nonverbal communication is tied to _______________. a. constructs b. integration c. culture d. multiple channels please select the best answer from the choices provided a b c d PLS HELP I NEED BY TONIGHT I WILL GIVE BRAINLIEST !!Column A1.Treaty of Greenville 1795:Treaty of Greenville 17952.Treaty of Fort Wayne 1809:Treaty of Fort Wayne 18093.Treaty of Chickasaw 1816:Treaty of Chickasaw 1816Column Ba.Five Native American tribes gave up land in Indiana and Illinois.b.Native Americans gave up land in Tennessee.c.Twelve Native American tribes gave up their land for what became Ohio.Question 2 (6 points)(05.01B LC)Match each treaty with its result. (6 points)Column A1.Treaty of Fort Wayne 1809:Treaty of Fort Wayne 18092.Treaty of Greenville 1795:Treaty of Greenville 17953.Treaty of Chickasaw 1816:Treaty of Chickasaw 1816Column Ba.The treaty was unsuccessful, and the Native American tribes and settlers continued to fight over the land in the Northwest Territory.b.The Native American tribe who signed the treaty was eventually completely removed from Tennessee.c.Native Americans were unhappy with the treaty and sided with the British in the War of 1812.Question 3 (3 points)(05.01B MC)What did all treaties made with Native American tribes around the early 1800s have in common? (3 points) aThe treaties created a positive relationship between Native Americans tribes and the United States. bThe treaties set aside a specific piece of land in each territory for Native American use. cThe treaties completely removed American settlements from Native American land. dThe treaties severely limited the land the United States owned in the Northwest Territory.Question 4 (3 points)(05.01B MC)Which of the following is true about the treaties made between Native American tribes and the United States in the early 1800s? (3 points) aThe United States followed through on promises outlined in the treaties. bNative American tribes were satisfied with the terms of each treaty. cThe United States had limited access to land in the Northwest Territory. dNative American tribes were promised payment for the land.Question 5 (3 points)(05.01B MC)Which of the following correctly describes the relationship between Native American tribes and the United States government in the early 1800s? (3 points) aThe relationship strengthened as Native American tribes agreed with the terms of each treaty. bThe relationship weakened as the division of land created ongoing disagreement. cThe relationship strengthened as the United States gained access to millions of acres of land. dThe relationship weakened as Native American tribes gave up all of the land they previously claimed. 6. The net profit margin ratio for two companies is modelled byby8x3x - 1for company B where x is the number of items sold in thousands. Sam is trying5x2x - 3for company A andto decide in which company he should buy stock so he is going to compare the ratios. Hehas researched both companies and he knows that each produces over 25 000 items permonth.(C: 25)a) He wants to find out if theywould ever have the same ratio and if so when. How wouldyou tell him how to find this mathematically? What should he have found as his answerto the question?b) Which company has a higher ratio for 30 000 items sold? What is that ratio to thenearest thousand for both companies? Let f (x) = px 2 + qx - 4 p, where p 0. Find the number of roots for the equation f (x) = 0 . Justify your answer. What type of force does the water exert on the planes floats, which cause the motion of plane to slow?