How many planes exist that pass through points A, B,
and C?
O
1
2
3

Answers

Answer 1

Answer: 1

Step-by-step explanation:

Given : A, B, c are three points.

We know that a plane exist that pass through three points.

So 1 plane exist that pass through points A, B,  and C.

A point (gives location) , a line(gives length) and a plane(2 dimensional flat surface) are 3 undefined terms.

We need two points two make a line and three points to make a plane.

Answer 2

Answer:

Step-by-step explanation:

The answer is 1


Related Questions

Please help solve this, I solved it on my own but I think my calculations are wrong. here is the problem,
b-(b+a×4c÷4); use; a=-6, b=1, and c=2?​

Answers

Hi there! Hopefully this helps!

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

Answer: 12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First we need to substitute the value of the variable into the expression and simplify.

b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).

Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1 - (1 + -6 × 4(2) ÷ 4)

|

|  First, we cancel out 4 and 4.

\/

1 - (1 - 6 × 2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Next, we multiply -6 and 2 to get -12.

1 - (1 - 12)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then we subtract 12 from 1 to get -11.

1 - (-11)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The opposite of -11 is 11.

1 + 11.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Add 1 and 11 to get, you guessed it, 12!

Answer:

Answer: 12

Hope this helps

Convert the following:
22 tons is equivalent to
kilograms

Answers

Answer:

19958.1

step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

      ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                     PEACE!

Can you please help me on add and subtract fractions level 1 9/8-11/8

Answers

Answer:

7/8

Step-by-step explanation:

1. Make 1 9/8 into an improper fraction

1 = 8/8

8/8 + 9/8 = 17/8

2. Subtract

17/8 - 11/8 = 7/8

7/8 is the correct answer

Mrs. Yadav purchase 25 kg of vegetable at Rs 20 per kg and sold at a loss of Rs 50 find her
Selling rate and loss percent​

Answers

Answer:

[tex] \boxed{loss\% \: = 10\%}[/tex][tex] \boxed{selling \: price = Rs 450}[/tex]

Step-by-step explanation:

Given,

Cost price of 25 kg of vegetables ( CP ) = 25 × 20

= Rs 500

Loss amount = Rs 50

Selling price ( SP ) = ?

Loss percent = ?

Now, let's find the loss percent :

[tex] \mathsf{ \frac{loss}{cost \: price} \times 100\%}[/tex]

[tex] \mathsf{ = \frac{50}{500} \times 100\%}[/tex]

[tex] \mathsf{ = 10\%}[/tex]

Loss % = 10 %

Now, let's find the selling price:

[tex] \mathsf{ \frac{CP(100 - l\%)}{100} }[/tex]

[tex] \mathsf{ = \frac{500(100 - 10)}{100}} [/tex]

[tex] \mathsf{ = \frac{500 \times 90}{100} }[/tex]

[tex] \mathsf{ = \frac{45000}{100} }[/tex]

[tex] \mathsf{= 450}[/tex]

Hope I helped!

Best regards!

Roselyn is driving to visit her family, which lives 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter.

Answers

Answer:

see explanation (please confirm if I read you problem correctly)

Step-by-step explanation:

150 kilometers

60 kph

tank is 20 liters

6 km/l

150/6 = 25 liters needed

$60/l

you will need to get 5 more liters of fuel

total cost 25 x .60 =  $15

Answer:

AHHHHH I think its two hours

Step-by-step explanation:

she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours

n/8 = (-7) help please

Answers

Answer:

n = -56

Step-by-step explanation:

n/8 = (-7)

Multiply each side by 8

n/8* 8 = (-7)*8

n = -56

Answer:

[tex]n=-56[/tex]

Step-by-step explanation:

We can use algebra and simplify the equation until we have n isolated.

[tex]\frac{n}{8} = -7\\\frac{n}{8}\cdot8 = -7\cdot8\\\\n=-56[/tex]

Hope this helped!

What is the volume of the cone below?
A. 432 units 3
B. 1447 units 3
C. 1087 units 3
D. 2167 units 3

Answers

Answer:

[tex]144\pi[/tex]

Step-by-step explanation:

To find the volume of a cone use the formula [tex]v = \pi r^2\frac{h}{3}[/tex]

When you substitute that into an equation it will be [tex]v = \pi 4^2\frac{27}{3}[/tex]

First you should evaluate the exponent making it 16

Next divide 27 and 3 which is 9

Since you don't have to multiply by 3.14 ([tex]\pi[/tex]) the equation should be ...

[tex]144\pi[/tex]

Answer:

144

Step-by-step explanation:

Factorise : x^2+x-72 Step by Step​

Answers

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

     = x^2 - 8x + 9x - 72

     = (x^2 - 8x) + (9x - 72)

     = x(x - 8) + 9(x - 8)

     = (x + 9)(x - 8)

Answer:

              x² + x - 72 = (x + 9)(x - 8)

Step-by-step explanation:

[tex]x^2+x-72\quad \implies\quad a=1\,,\quad b=1\,,\quad c=-72\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-72)}}{2\cdot1}=\dfrac{-1\pm\sqrt{1+288}}{2}=\dfrac{17\pm\sqrt{289}}{2}\\\\x_1=\dfrac{-1-17}{2}=-9\quad,\qquad x_2=\dfrac{-1+17}{2}=8\\\\\\x^2+x-72=(x-(-9))(x-8)=(x+9)(x-8)[/tex]

or:

     x² + x - 72 =

= x² + 9x - 8x - 72 =

= x(x + 9) - 8(x + 9) =

= (x + 9)(x - 8)

Factor 8(9) + 18

8(9+18)
9(8+2)
18(4+1)
18(1+4)

Answers

[tex]8(9)+18[/tex]

$=8\cdot9+2\cdot9$

$=(8+2)\cdot9$

The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence.

Answers

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

If f(x) = 2(x − 5), find f(8). 4 6 8 16

Answers

Answer:

f(8) = 6

Step-by-step explanation:

Plug in 8 as x in the function:

f(x) = 2(x − 5)

f(8) = 2(8 - 5)

f(8) = 2(3)

f(8) = 6

Answer:

[tex]\large \boxed{\mathrm{6}}[/tex]

Step-by-step explanation:

[tex]f(x)=2(x-5)[/tex]

Replace x with 8 to find f(8).

[tex]f(8)=2(8-5)[/tex]

Evaluate.

[tex]f(8)=2(3)[/tex]

[tex]f(8)=6[/tex]

Please does anyone know how to factorize x(x - 1) + 3x

Answers

Answer:

=x(x-1) +3x

= x^2-x+3x

=x^2 +2x

=x(x+2)

Step-by-step explanation:

Nijah has 45 stickers.
She gives 2/5 to her sister.
She gives 1/3 of her remaining stickers to Brett.

How many stickers does Nijah have left?

Answers

Answer:

Nijah has 6 stickers left.

Step-by-step explanation:

Starting stickers:

45

2/5 are given away:

[tex]\frac{2}{5}[/tex] * 45

[tex]\frac{2}{5}[/tex] * [tex]\frac{45}{1}[/tex]

[tex]\frac{90}{5}[/tex]

18

1/3 of the remaining are given away:

[tex]\frac{1}{3}[/tex] * 18

[tex]\frac{1}{3}[/tex] * [tex]\frac{18}{1}[/tex]

[tex]\frac{18}{3}[/tex]

6

Nijah has 6 stickers left.

Answer:

18

Step-by-step explanation:

Find the part she gave to her sister

45 *2/5 = 18

The part remaining is

45 - 18 = 27

She gives 1/3 to Brett

27 * 1/3 = 9

She has 27 - 9 = 18

She has 18 remaining

Simplify to create an equivalent expression. -3(2+4k)+7(2k-)

Answers

Answer:

[tex]-3(2 + 4k) + 7(2k)[/tex] = [tex]2k - 6[/tex] or [tex]2(k - 3)[/tex]

Step-by-step explanation:

The question seem incomplete; however, the given parameter is assumed as

[tex]-3(2 + 4k) + 7(2k)[/tex]

Required

Simplify

[tex]-3(2 + 4k) + 7(2k)[/tex]

Start by opening the brackets

[tex]-3*2 -3* 4k + 7*2k[/tex]

[tex]-6 -12k +14k[/tex]

Collect Like Terms

[tex]-6 -12k +14k[/tex]

[tex]-6 + 2k[/tex]

Reorder the above expression

[tex]2k - 6[/tex]

The answer can be further simplified as

[tex]2(k - 3)[/tex]

Hence;

[tex]-3(2 + 4k) + 7(2k)[/tex] = [tex]2k - 6[/tex] or [tex]2(k - 3)[/tex]

Can you write a summation notation of a series that is neither arithmetic nor geometric?

Answers

Answer:

Yes, we can.

Step-by-step explanation:

Hello, I found this one.

[tex]\displaystyle \sum_{n=0}^{\infty} \dfrac{1}{n!}[/tex]

We can prove that it exists and it is equal to e.

But this is nor arithmetic nor geometric.

Thank you

-2(8 - 1)= complete the following statement

Answers

We simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.

To simplify the given expression, -2(8 - 1), we can start by evaluating the expression inside the parentheses,

8 - 1 = 7

Now, we substitute this value back into the original expression:

-2(7)

Multiplying -2 by 7, we get:

-2 * 7 = -14

Therefore, -2(8 - 1) simplifies to -14.

In this case, we simplified the expression inside the parentheses first and then applied the multiplication operation. It's important to remember that when there is a negative sign in front of parentheses, it distributes to each term inside the parentheses. So, -2 multiplied by 8 gives -16, and -2 multiplied by -1 gives +2. The sum of -16 and +2 is -14.

In summary, when we evaluate the expression -2(8 - 1), the result is -14. This means that if we follow the order of operations (parentheses first, then multiplication), we simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.

For more such questions on expression

https://brainly.com/question/29070527

#SPJ8

Write and solve an equation to answer the question. How many people must attend the third show so that the average attendance per show is 3000?

Answers

Answer:

3250

Step-by-step explanation:

so for the first and 2nd show, the attendance is 2580 and 2920.

The average of both these numbers is 2750

the if the third show had 3000 people, the average attendance would only be 2875.

We need the average number to be 3000.

2750 is 250 less than 3000, so the other number must be 250 more.

3250 is how many people should go to the last show.

Answers:First box = (5500+x)/3Second box = 3500

=====================================

Explanation:

We have 2580 people attend the first show and 2920 attend the second. So far, that's 2580+2920 = 5500 people. Add on another x people to get 5500+x, which represents the sum of all three days attendance figures. Divide this sum by 3 to get the average attendance

average attendance = (sum of individual attendance values)/(number of days)

average attendance = (5500+x)/3

So that's why (5500+x)/3 goes in the first box. The parenthesis are important to ensure that you divide all of "5500+x" over 3. If you just wrote 5500+x/3, then the computer would think you just want to divide x only over 3.

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

We set (5500+x)/3 equal to 3000 as we want the average of the three days to be 3000

(5500+x)/3 = 3000

5500+x = 3*3000

5500+x = 9000

x = 9000-5500

x = 3500

We need 3500 people to show up on day 3 so that the average of all three days is 3000.

3500 goes in the second box.

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

Check:

The figures for the three days are 2580, 2920, and 3500

They add to 2580+2920+3500 = 9000

Which divides to 9000/3 = 3000, which is the average we're after. So the answer is confirmed.

41 =12d-7 d= Math is not my strong suit. I love to read and write but I can not do math without a little bit of help.

Answers

Answer:

[tex]\huge\boxed{d = 4 }[/tex]

Step-by-step explanation:

41 = 12d - 7

Adding 7 to both sides

41+7 = 12d

48 = 12 d

Dividing both sides by 12

4 = d

OR

d = 4

Answer:

[tex]\large \boxed{{d=4}}[/tex]

Step-by-step explanation:

[tex]41 =12d-7[/tex]

Add 7 on both sides.

[tex]41 +7=12d-7+7[/tex]

[tex]48=12d[/tex]

Divide both sides by 12.

[tex]\displaystyle \frac{48}{12} =\frac{12d}{12}[/tex]

[tex]4=d[/tex]

Simplify 7^ -5/6 x 7^-7/6

Answers

Answer:

1/49

Step-by-step explanation:

If you add this is the calculator, I think it will come out.

━━━━━━━☆☆━━━━━━━

▹ Answer

1/49

▹ Step-by-Step Explanation

7^-5/6 * 7^-7/6

= 1/7²

= 1/49

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?

Answers

Answer:

{ 11, -4, -29}

Step-by-step explanation:

5(-2) + y = 1

-10 + y = 1

y = 11

5(1) + y = 1

y = -4

5(6) + y = 1

30 + y = 1

y = -29

Answer:

The Range is the set: { -29, -4, 11 }

Step-by-step explanation:

You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:

y = 1 - 5 x

Now let's find what values they result when x = -2, 1, and 6:

y = 1 - 5 (-2) = 1 + 10 = 11

y = 1 - 5 (1) = 1 - 5 = -4

y = 1 - 5 (6) = 1 - 30 = -29

Therefore the Range is the set: { -29, -4, 11 }

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Answers

Answer:

a) 22:25 is the earliest time

b)15 min

Step-by-step explanation:

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

10:10(standard) = 22:10 (military)

22:10 -> 15min-> 22:25

Answer:

a) 22:25 is the earliest time

b)15 min

Because

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

Please answer. I need this to be done, Thanks. Will give brainliest

Answers

Answer:

The answer is s^26/pq59

Step-by-step explanation:

Answer:

p^ -1 q ^ -59  s ^26

or without negative exponents

s^ 26 /(p q^ 59)

Step-by-step explanation:

When multiplying , we can add the exponents when the bases are the same

p^0 q ^ -60 r^-1 s^25  * p^-1 qrs

When there is no exponent written, there is an implied 1

p^ (0+-1) q^(-60+1) r ^( -1 +1) s ^ ( 25+1)

p^ -1 q ^ -59 r ^0 s ^26

r^0 = 1

p^ -1 q ^ -59  s ^26

If you need  the negative exponents written as positive

a^-b = 1/ a^b

s^ 26 /(p q^ 59)

Please answer this question now

Answers

Answer:

11 yd

Step-by-step explanation:

To find the volume of a rectangular prism, we multiply the width, length and height.

We already know the length, 18, and the height, 11, and the volume, 2178, so we can easily solve for y.

[tex]18\cdot y\cdot11=2178\\192y=2178\\y = 11[/tex]

Hope this helped!

Solve the equation
(If possible please show work)

Answers

Hope you got the answer .

Compute the value of each expression |-1||-||5|

Answers

Answer:

5

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1  and  0  is 1

1 |-5|

Multiply  | − 5 |  by 1

The absolute value is the distance between a number and zero. The distance between  − 5  and  0 is  5

Hope this can help

the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression shows the number of states that entered the union in 1889

Answers

Answer:

x = s/2

Step-by-step explanation:

● s states have joined the union in 1788

● half of s have joined in 1889

Let x be the number of states that have joined in 1889

● x = (1/2)× s

● x = s/2

Answer the question below. Type your response in the space provided. Then compare your answer to the sample answer.
Point B(-2,4) lies on a circle centered at A(1, 3). Write a paragraph proof to determine whether C(4, 2) also lies on the circle.
В І О
x x
Font Sizes
A- A
DEE
Characters used: 0/15000
Submit

Answers

Answer:  see proof below

Step-by-step explanation:

The standard equation of a circle is (x - h)² + (y - k)² = r² where (h. k) is the center of the circle and r is the radius.  It is given that A (h, k) = (1, 3) and point B (x, y) = (-2,4) is on the circle.  Substitute the center (h, k) and point B(x, y) = (-2,4) into the standard equation of a circle to get r² = 10.  To prove that C(x, y) = (4, 2) is also a point on the circle, substitute the center (h, k) and the point C(x, y) = (4, 2) into the standard equation of a circle to get r² = 10.  Since the radius is the same for both point B and point C and it is given that point B is on the circle, then we must conclude that point C is also on the circle.

Answer:

I am given that the center of a circle is at A(1, 3) and that point B(-2, 4) lies on the circle. Applying the distance formula to A and B, I get the following:

AB=Square Root ( (-2 - 1 )^2 + (4 - 3 )^2 ) = Square root ( 9 + 1 )

AB = Square root (10)

Since B lies on the circle, this length is the length of the radius of the circle. Applying the distance formula to A and C(4, 2), I get the following:

AC = Square Root ( ( 4 - 1 )^2 + (2 - 3 )^2 ) = Square root ( 9 + 1 )

AC = Square root (10)

Thus, the distance to C from the center A is equal to the length of the radius of the circle. Any point whose distance from the center is equal to the length of the radius lies on the circle. Therefore, point C lies on the circle.

Step-by-step explanation:

4/10=x/1 Need help thx

Answers

Answer:

2/5 =x

Step-by-step explanation:

4/10 = x/1

4/10 =x

Simplify

2/5 =x

Answer:

x=0.4

Step-by-step explanation:

4/10=0.4

x/1 has to equal 0.4 too

0.4/1

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88​

Answers

Answer:

Each slice of pizza cost:

$1.63

Step-by-step explanation:

4.89/3 = 1.63

Answer:

$1.63

Step-by-step explanation:

We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.

cost / slices

It costs $4.89 for 3 slices.

$4.89 / 3 slices

Divide 4.89 by 3 (4.89/3=1.63)

$1.63 / slice

The cost of each slice of pizza is $1.63

Varadha bought two bags of rice of weights 45 kg and 63 kg. Find the maximum weight required, to measure the weight of rice exact number of times. options : 1.6 kg 2.35 kg 3.3 kg 4.9 kg

Answers

Answer:

3 kg

Step-by-step explanation:

given data

weights bag1 = 45 kg

weights bag2 = 63 kg

solution

we will take here first  HCF of 75 and 69

factor of 75 = 3 × 5 × 5

factor of 69 = 3 × 23

so here HCF of 75 and  69 = 3

so that here maximum weight required, to measure the weight of rice exact 3 times

so correct option is 3.  3 kg

Answer:

  4.  9 kg

Step-by-step explanation:

The greatest common factor of 45 kg and 63 kg is 9 kg.

  45 = 9×5

  63 = 9×7

A 9 kg weight could be used to weigh these amounts exactly.

_____

Comment on the problem statement

Appropriate formatting is helpful. It is difficult to tell that your answer choices are not 1.6, 2.35, 3.3, and 4.9. None of those makes any sense. With minimal formatting effort, you could list them as ...

1. 6 kg

2. 35 kg

3. 3 kg

4. 9 kg

Even better, the choices could be identified using letters and/or a separator other than a decimal point: A) 6 kg, B) 35 kg, and so on. The idea is to make it very clear what the numbers of the choices are. Less confusion is better.

Other Questions
what is current capital , future human capital and human capital ? is there a difference? The HR department at Trevor Communications oversees the recruitment and training of employees at the firm.As the firm grows and recruits more employees,overseeing individual training programs has been come too much for HR staff to handle.Which of the following applications should the HR department use to help with employee training?A) A customer relationship management systemB) A management information systemC) A learning management systemD) A decision support systemE) An executive decision-making system After the war, why did some southerners argue that the war was not about slavery? An annuity provides for 30 annual payments. The first payment of 100 is made immediately and the remaining payments increase by 8 percent per annum. Interest is calculated at 13.4 percent per annum. Calculate the present value of this annuity. Firms that compete in the global marketplace typically face two types of competitive pressures, namely, the pressures for _______ and _______. a. global integration; local responsiveness b. politically sensitivity; market leadership c. cost reductions; marginal costs d. price reductions; cost reductions To the nearest tenth, what is the value of P(C|Y)? 0.4 0.5 0.7 0.8 Which conclusion can be drawn from the experimental observation that a single strand of DNA contains 2100 dA residues and 1800 dT residues? The data set {3, 7, 5, 4, 1} consists of the lengths, in minutes, of a sample of speeches at an awards banquet. Use a formula to find the standard deviation of the sample, and label it with the correct variable. g Use the References to access important values if needed for this question. A researcher took 2.592 g of a certain compound containing only carbon and hydrogen and burned it completely in pure oxygen. All the carbon was changed to 7.851 g of CO2, and all the hydrogen was changed to 4.018 g of H2O . What is the empirical formula of the original compound need help will give 5 stars. please can someone help me solve this.. please help!! A practice, favored by unions, which contractually binds employers to hire only workers who are already members of the union is called a(n): Which observation led Mendel to the idea that traits were controlled by more than a single factor? Crossing two purple-flowered pea plants always resulted in a purple-flowered pea plant. Crossing two white-flowered pea plants always resulted in a white-flowered pea plant. A trait that was not seen in the first generation may later reappear in the second generation. A trait that was not seen in the first generation was completely gone and never reappeared. PLEASE HELP, WILL GIVE BRAINLIEST IF CORRECT!!!! (08.06 MC) Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points) Dump out half of the particles. Place your hand tightly over the top and shake the container. Then remove most of the remaining particles, and shake the container again. Compared with the full container, which states of matter do these two models most closely represent? Explain. Evaluate the following expression. 8 (10) 7 1/1 What makes something that you read exciting to you and makes you want to continue reading it? Write a short story about what it might be like if you woke upone morning with amermaid tail. Which quadratic equation would be used to solve for the unknown dimensions?0 = 2w2512 = w2512 = 2w2512 = 2l + 2w If sin = 5 over 6, what are the values of cos and tan ?