Solve the system of equations using subtraction.
3x - 2y = 5
3x + y = 11

Answers

Answer 1
X=3 and y= 2. Or (3,2)

Related Questions

You are the CEO of a corporation that makes computer hard drives. The company made $50 million dollars in annual profit this year, after struggling for the 5 previous years. About 6,000 people are working for your company and about 80% of them are directly associated with the manufacturing plant. Workers at the plant have not received a salary raise for the past 5 years, and the workers union is demanding a salary raise this year. The company has an annual payroll of about $500 million dollars, with about 70% of it for the workers in the plant. Factory managers are asking for $25 million dollars to upgrade the equipment and improve the efficiency of the plant. White-collar workers in the head office claim that it is their strategy that turned the factory around and put it on the path to profit. Due to this reason, they think they deserve to get a big bonus. How do you allocate the profits to meet all these demands? Justify your decision.

Answers

When it comes to resource allocation, it's not a one sentence answer. The explanation for how to go about this is given below. But first, lets look at what Profit Allocation means.

What is profit allocation?

This simply means the process of distributing profit to various areas of the business such that all parts are (human and non-human  components) are satisfied and operating at equilibrium.

So how does one allocate resources?

There are five steps to aligning your budget and resource demands when planning for support resource allocation.

Recognize your financial flow.Outline your present staffing and resource requirements.Examine your present budget.Create firm growth objectives.Align your budget with your objectives.

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What are the roots of the polynomial equation x superscript 4 baseline x squared = 4 x cubed minus 12 x 12? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth.

Answers

The roots of the polynomial equation are -1.73, 1.73 and 0

How to determine the roots?

The polynomial equation is given as:

[tex]x^4 + x^2 = 4x^3 - 12x + 12[/tex]

Next, we split the equation as follows:

[tex]y = x^4 + x^2[/tex]

[tex]y= 4x^3 - 12x + 12[/tex]

Next, we plot the equations on a graphing calculator

From the graph, we have the x-coordinates of the intersection points to be:

x = -1.73, 1.73 and 0

Hence, the roots of the polynomial equation are -1.73, 1.73 and 0

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calculate problems one and two.

Answers

Answer:

Question 1) 2/3

Question 2) -3

Step-by-step explanation:

Question 1)

The formula of a slope is (increase in y)/(increase in x), so in the graph, all we need to do is find two precise points and look at the distance difference.

1. The two points that I've found were (0,3) and (3,5). The change in y is 3 --> 5, which is 2. The change in x is 0 --> 3, which is 3.

2. The slope will be 2/3.

Question 2)

In this question, we can consider n as x and f(n) as y.

1. The two points I chose were (4, -31) and (7,-40). The change in y is -31 --> -40, which is -9. The change in x is 4 --> 7, which is 3.

2. The slope will be -9/3.

3. -9/3 can be simplified to -3 since we can divide both the numerator and the denominator by 3.

4. The final slope will be -3.

what is the solution to the system of equation -4+3y=-3

Answers

Answer:

[tex]\huge\boxed{\sf y = 1/3}[/tex]

Step-by-step explanation:

Given equation:

-4 + 3y = -3

Add 4 to both sides

3y = -3 + 4

3y = 1

Divide 3 to both sides

y = 1/3

[tex]\rule[225]{225}{2}[/tex]

Y=1/3
3y= -3+4
3y= 1
Y=1/3

A family needs to build fencing around their rectangular home and square swimming pool, depicted below.
A rectangle labeled home has its right side labeled (2 + 5 x) yards and its bottom side labeled (3 + 10 x) yards. The square, labeled pool, is smaller than the rectangle. One of its sides is labeled (2x) yards.
The total amount of fencing they need can be written as x + 10.

If x = 5;
The family needs yards of fencing for their home.

The family needs yards of fencing for their pool.

Answers

The total amount of fencing they need = 38x + 10.

Perimeter for the rectangular fencing of the home = 160 yards

Perimeter for the square fencing of the pool = 40 yards

What is the Perimeter of a Rectangle and a Square?

Perimeter of a rectangle = 2(length + width)

Perimeter of a square = 4(side length).

Perimeter for the rectangular fencing of the home = 2(3 + 10x + 2 + 5x) = 2(15x + 5) = 30x + 10

Perimeter for the square fencing of the pool = 4(2x) = 8x

The total amount of fencing they need = 30x + 10 + 8x = 38x + 10.

If x = 5, then:

Perimeter for the rectangular fencing of the home = 30x + 10 = 30(5) + 10 = 160 yards

Perimeter for the square fencing of the pool = 4(2x) = 8x = 8(5) = 40 yards.

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Answer:

38
160
40

Step-by-step explanation:

Find the perimeter of a parallelogram with corner points at (2,1), (4,5), (7,5), and (5,1)
Perimeter =
THANK YOU SO MUCHHH

Answers

Answer:

14 units

Step-by-step explanation:

Oops, I was solving for the area in the picture.  You can still use  the picture to find the perimeter.  When I change the shape into a rectangle, you can see that the top and bottom lengths are 3 and the side lengths are 4.  3+3+4+4=14

3 + 2 x 7 - 30(^2)

help me

Answers

There is no solution to this problem. Why? Well, see below for an explanation!

We can initially solve this problem using PEMDAS. Where we go wrong will be identified later. The P stands for Parenthesis, but there are none in this equation so we can skip that step. Next is E, which stands for Exponents. We do have an exponent, but it is separate from the problem. That would deem the problem invalid to solve because there is no base number for the exponent to be solved. Disregarding the exponent, we can solve by using M, which means Multiplication.

2 x 7 = 14

Next step, we can simplify to make the equation a tad bit neater.

3 + 14 - 30

Next up is D, meaning we need to divide. There are no numbers to divide though, so this step can be skipped.

Next step would be A, meaning we need to add.
3 + 14 = 17

Next step, we can simplify to make the equation neater as stated above.

17 - 30

17 - 30 = -13.

Disregarding the exponent, your answer would be -13. Including the exponent, however, would make the equation irrelevant. If you need extra help understanding this, let me know and I will gladly assist you.

The length of tr is 17 units. what are the lengths of sv and qt? sv = units qt = units

Answers

Applying the properties of kite, the measures are: SV = 41 units; QT = 21 units.

What is a kite?

A kite is a quadrilateral that has 2 pairs of congruent adjacent sides, and has two diagonals where the longest one bisects the shorter one and divides it into equal segments.

The diagram given is a kite. Where TR = 17 units. Thus we would solve for x using the equation as shown below:

TR = RV [congruent adjacent sides of the kite]

Plug in the values

17 = 3x + 2

17 - 2 = 3x

15 = 3x

15/3 = x

x = 5

SV = TS = 9x - 4 [congruent adjacent sides of the kite]

Plug in the value of x

SV = 9(5) - 4

SV = 41 units

The length of segment QT is 41 units.

QT = QV = 4x + 1 [congruent adjacent sides of the kite]

Plug in the value of x

QT = 4(5) + 1

QT = 21 units

The length of segment QT is: 21 units.

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Answer:

SV: 41

QT:21

Step-by-step explanation:

If the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week

Answers

If the growth rate of bacteria at any time is proportional to the number of bacteria present at t then the population after 20 weeks will be 403.42[tex]x_{0}[/tex] in which [tex]x_{0}[/tex] is the initial population.

Given that the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week.

We are required to find the number of bacteria present after 10 weeks.

let the number of bacteria present at t is x.

So,

dx/dt∝x

dx/dt=kx

1/x dx=k dt

Now integrate both sides.

[tex]\int\limits {1/x} \, dx[/tex]=[tex]\int\limits{k} \, dt[/tex]

log x=kt+log c----------1

Put t=0

log [tex]x_{0}[/tex]=0 +log c    ([tex]x_{0}[/tex] shows the population in beginning)

Cancelling log from both sides.

c=[tex]x_{0}[/tex]

So put c=[tex]x_{0}[/tex] in 1

log x=kt+log [tex]x_{0}[/tex]

log x=log [tex]e^{kt}[/tex]+log [tex]x_{0}[/tex]

log x=log [tex]e^{kt}x_{0}[/tex]

x=[tex]e^{kt}x_{0}[/tex]

We have been given that the population triples in a week so we have to put the value of x=2[tex]x_{0}[/tex] and t=1 to get the value of k.

2[tex]x_{0}[/tex]=[tex]e^{k} x_{0}[/tex]

2=[tex]e^{k}[/tex]

log 2=k

We have to now put the value of t=20 and k=log 2 ,to get the population after 20 weeks.

x=[tex]e^{20log 2}[/tex][tex]x_{0}[/tex]

x=[tex]e^{0.30*2}[/tex][tex]x_{0}[/tex]

x=[tex]e^{6}x_{0}[/tex]

x=403.42[tex]x_{0}[/tex]

If the growth rate of bacteria at any time is proportional to the number of bacteria present at t then the population after 20 weeks will be 403.42[tex]x_{0}[/tex] in which [tex]x_{0}[/tex] is the initial population.

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The given question is incomplete as the question incudes the following:

Calculate the population after 20 weeks.

What comes next in the following series?

Answers

The next number in the series is 30.

What is series?

It should be noted that series simply means the operation of adding values together in a data set.

In this case, it can be seen that the numbers are interchangeable between 30 and 31.

In this case, since 31 was the last number, the next number will be 30.

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Please help with these problems having trouble!!

Answers

The function f(x) is vertically compressed to form g(x) while the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)

How to compare both functions?

The functions are given as

f(x) =x^2

g(x) =3x^2

h(x) = -3x^2

Substitute f(x) =x^2 in g(x) =3x^2 and h(x) = -3x^2

g(x) =3f(x)

h(x) = -3f(x)

This means that the function f(x) is vertically compressed to form g(x)

Also, the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)

See attachment for the functions g(x) and h(x)

Also, functions f(x) and g(x) have the same domain and range

While functions f(x) and h(x) have the same domain but different range

The complete table is:

x      -2    -1    0   1    2

g(x)  12    3    0    3   12

h(x)  -12    -3    0    -3   -12

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Find the area of a circle with diameter, d = 3.3m. give your answer rounded to 1 dp.

Answers

Answer:

Step-by-step explanation:

the area of a circle is πr²

r being the radius, which is equal to half the diameter

3.3/2= 1.65

π(1.65)²=8.6m

The leaning Tower of Pisa was completed in 1372 and makes 86 degree angle with the ground. The tower is 50 meters tall, measured vertically from the ground to the highest point. If you were to climb to the top then accidentally drop your keys, where would you start looking for them? question 5

Answers

Answer:

you would look for them 3.5 meters away from the base

Step-by-step explanation:

so u do tan 86 =50/x

and u solve from there

Which of the following are factor pairs for 12?

1. 1 and 12

2. 2 and 4

3. 2 and 6

3. 3 and 4

4. 3 and 5

NEED ANSWER QUICK PLEASE!!

Answers

Answer:

FACTOR pairs are a set of two integers that when multiplied together gives a particular product.

FACTOR pairs of 12 are :1 and 12 because 1 x 12 = 122 and 6 because 2 x 6 =123 and 4 because 3 x 4 = 12

Hope you understandHope this helps.Good luck ✅.

Find the equation of the line perpendicular to 2x+3y-6=0 and passing through (-1,1)

Answers

Answer: [tex]y-1=\frac{3}{2}(x+1)[/tex]

Step-by-step explanation:

[tex]2x+3y-6=0\\\\3y=-2x+6\\\\y=-\frac{2}{3}x+2[/tex]

So, the slope of the given line is -2/3, meaning the slope of the line we want to find is 3/2.

Substituting into point-slope form, we get the equation of the line is

[tex]y-1=\frac{3}{2}(x+1)[/tex]

Volume=
Help me please!! Asap thanks so much

Answers

The volume of the oblique cylinder is 6867.18 cubic units

How to determine the volume?

The given parameters are:

Height = 27

Radius = 9

The volume is calculated as:

[tex]V = \pi r^2 h[/tex]

So, we have:

[tex]V = 3.14 * 9^2 * 27[/tex]

Evaluate

V = 6867.18

Hence, the volume of the oblique cylinder is 6867.18 cubic units

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What is the perimeter of the given quadrilateral?
y
0000
20 units
10 units
50 units
25 units
A
D
B
C

Answers

Answer:

20 units

Step-by-step explanation:

As you know that the quadrilateral is a square, you’ll just have to find the length of one side and multiply it by four. We can count and see that one side is 5 units.

5 * 4 = 20 units


You can also add the length of each of the four sides.

5 + 5 + 5 + 5 = 20


Hope that helps you! Please let me know if you need more help with this question. Have a great day!

Rebecca filled 28 glasses with orange juice for a camp breakfast. if each glass holds 1 cup of juice, how many quarts of orange juice did rebecca use?

Answers

The number of quarts of orange juice did Rebecca use is 7

Given that 28 glasses with orange juice are filled for a camp breakfast

Each glass holds 1 cup of juice

We need to find the number of quarts of orange juice did Rebecca use  

We know that a quarts has 4 cups

We need to calculate the quarts from 28 glasses  

Let the number of the quarts be x

So the equation formed is

4x = 28

Where x is number of quarts and 28 are the number of glasses

x = 7

Hence the number of quarts is 7

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Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?
acute, because 102+122>152
acute, because 122+152>102
obtuse, because 102+122>152
obtuse, because 122+152>102

Answers

Answer:

Option (1)

Step-by-step explanation:

See attached image.

The given measures form a acute angle triangle.

What is an obtuse angle triangle?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Given that, a triangle with side lengths 10 in., 12 in., and 15 in.

We know that,

a²+b²=c²  then triangle will be right angled

a²+b²>c²  then triangle will be acute angled

a²+b²><c²  then triangle will be obtuse angled

Here, a=10 inches, b=12 inches and c=15 inches

10²+12²>15²

100+144>225

244>225

Therefore, the given measures form a acute angle triangle.

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Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Answers

Answer:

m=15

Step-by-step explanation:

Oh, I think I answered this question recently, but it's m=15c

The explanation for the question was written in my other response.

Answer:

d.  m = 15c

Step-by-step explanation:

Directly proportional means as one amount increases, another amount increases at the same rate.

Proportionality can be used to set up an equation.

Given variables:

m = amount of money earned (in dollars)c = number of cars washed

If m is directly proportional to c then:  [tex]m \propto c[/tex]

Convert this to an equation by using a constant of proportionality, k:

[tex]\implies m=kc[/tex]

We are told that Paul washed 8 cars and earned $120.

Substitute these values into the found equation and solve for k:

[tex]\implies 120=8k[/tex]

[tex]\implies k=\dfrac{120}{8}[/tex]

[tex]\implies k=15[/tex]

Finally, substitute the found constant of proportionality (k) into the equation:

[tex]\implies m=15c[/tex]

4. (06.02 MC)
Write an equation of a line that passes through the point (7,3) and is parallel to the line y =
y=-3x+3.0
x + 3. (5 points)

Answers

Answer:

Step-by-step explanation:

Givens

Line: y = 3x + 3

Point: (7,3)

Discussion

The easiest variation on line problems is one like this one. The reason is that all you need do is read the slope of the given line.

m = 3 of the given line. Also the slope of the new line.

What you have so far is

y = 3x + b

The point is used to find b -- the y intercept.

x = 7

y = 3

You are not given this, but what you want to think is that when x = 7, y = 3

Substitute into the new equation

3 = 3*7 + b

3 = 21 + b                         Subtract 21 from both sides.

3 - 21 = 21-21 + b

- 18 = b

Answer

y = 3x - 18

Answer:

-2/3x+23/3

Step-by-step explanation:

y= mx+c

where

m is the slope c is the y-intercept.

1-getting the slope:

we are given that the line we are looking for is parallel to the line

y=-2/3x+3

this means that the slope of the two lines are equal . comparing the general formula with the given line , we would find that the slope of the given lines -2/3.this means that the slope of the lines we are looking for is also -2/3

The equation of the line now becomes:y=-2/3x+c

2-getting the value of c

to get the value of c, we will use a point that belongs to the line (7,3),substitute in the equation and solve for c as follows:

y=-2/3x+c

3=(-2/3)(7)+c

3=-14/3+c

c=3+14/3

c=23/3

Based on the above, the equation of the line we are looking for is:

y=-2/3x+23/3

.
7-9p≥7 or 2p - 9> 11

Answers

Answer:

2p-9>

Step-by-step explanation:

Determine S9 of the series where a=6 and r=2

Answers

Hi

arithmetic serie mean that to change from a rank to an other, you add "r"

So :  if 6 is  S1, and  2 is  pace,    

then you need 8 hops to go from S1 to S9.

so you 'r going to add the reason 8 times.

so :  S9 = 6 + 8 * 2   =   6 + 16 = 22

conclusion :  S9 = 22

a) There are 12 different varieties of flowers. How many different kinds of bouquets can be made using 5 different kinds of flowers

Answers

Total of 1820 different kinds of banquets can be made.

What is combination in mathematics?

Combinations are mathematical procedures that count how many different ways a collection of items could be arranged when the order in which they are chosen is immaterial. Combos' components can be chosen in any hierarchy.

[tex]$C_{12}(16)=\left(\begin{array}{l}16 \\ 12\end{array}\right)=\frac{16 !}{12 !(16-12) !}=\frac{16 \cdot 15 \cdot 14\cdot13}{4\cdot3 \cdot 2 \cdot 1}=1820[/tex]

[tex]$n=5$ $k=12$\\$x=\left(\begin{array}{c}n+k-1 \\ k\end{array}\right)=\left(\begin{array}{c}5+12-1 \\ 12\end{array}\right)=1820$[/tex]    

Total of 1820 different kinds of banquets can be made

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determine which two of the three given triangles are similar. Find the scale factor for the pair

Answers

Answer:

Triangles MNP and QRS

Step-by-step explanation:

This is due to each corresponding line follows the same ratio of 1.5:1

e.g.

NP=6

RS=4

6:4

1.5:1

You can verify this by dividing 6 by 4 (6/4) which is 1.5

Which is the completely factored form of 12x4 + 39x3 + 9x2?

3x2(x – 3)(4x – 1)
3x2(x + 3)(4x + 1)
3x(x + 3)(4x + 1)
3x(x – 3)(4x + 1)

Answers

Answer:

The second option, 3x^2(x+3)(4x+1)

Step-by-step explanation:

Factor out the common term, which is 3x^2

This then becomes 3x^2(4x^2+13x+3)

Factor the inside term and it becomes

(3x^2)(x+3)(4x+1)

Select the correct answer from the drop-down menu.
Jaden and his family are using a map to drive down to Napa Valley. On the map, the distance is given by the equation c = 1.3m, where c is the number of centimeters on the map and m is the corresponding real-world distance in miles.

If they cover a distance of 18 miles, that would mean a distance of
centimeters on the map.

Answers

Answer:

13.846153846

Step-by-step explanation:

Its easy Just 18:1.3=13.846153846

Drag the tiles to the correct boxes to complete the pairs.

Match the descriptions of cross sections of three-dimensional figures to their corresponding shapes.

Answers

Answer:

B, C, A

Step-by-step explanation:

Don't really know how to explain this.

PLEASE HELP IM SO STUCK

Answers

Answer:

  Slope = 7/4

Step-by-step explanation:

You are given coordinate values and a formula that tells you what to do with them. All you need to do is put the values in the formula and do the arithmetic.

Points

You are given points (2, -3) and (6, 4). The slope formula refers to the two points as (x1, y1) and (x2, y2). It does not matter which is which.

If we use the points in the same order they are given, then we can see that ...

x1 = 2y1 = -3x2 = 6y2 = 4

Formula

Using these values in the given formula, we find the slope to be ...

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-(-3)}{6-2}=\dfrac{7}{4}[/tex]

The slope of the line through the given points is 7/4.

Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!

Answers

(-6,-2)(6,7)

These two should be the points as then 2 points will remain on both sides

Slope

m=(7+2)/6+6m=9/12m=3/4

Equation in point slope form

y+2=3/4(x+6)y=3/4x+6-2y=3/4x+4

When x=-15

y=3/4(-15)+4y=-45/4+4y=(-45+16)/4y=--29/4

Just above 7

Other Questions
Read this excerpt.I must close now. But before closing I am impelled to mention one other point in your statement that troubled me profoundly. You warmly commended the Birmingham police force for keeping order and preventing violence. I dont believe you would have so warmly commended the police force if you had seen its angry violent dogs literally biting six unarmed, nonviolent Negroes. I dont believe you would so quickly commend the policemen if you would observe their ugly and inhuman treatment of Negroes here in the city jail; if you would watch them push and curse old Negro women and young Negro girls; if you would see them slap and kick old Negro men and young Negro boys; if you will observe them, as they did on two occasions, refuse to give us food because we wanted to sing our grace together. Im sorry that I cant join you in your praise for the police department.In his Letter from Birmingham City Jail, how does Martin Luther King, Jr. connect the public and private actions of the police?They are both meant to show nonviolence.They are both meant to earn commendation.They are both meant to preserve segregation.They are both meant to avoid punishment. What are the coordinates of the point p if the coordinates of the other three vertices of the rectangle in the figure shown to the right are (3,7),(3,9) and (6,9) What tool would be used to find the weight of a ballon that is filled with water is it a. graduated cylinder b. metric ruler c. spring scale d. thermometer 1. You have learned that alkyl iodides may be prepared by SN2 replacement of other leaving groups, or by treatment of alcohols or ethers with co centrated hydriodic acid (HI). A milder method for preparation of alkyl iodides from alcohols is shown below: A woman who is heterozygous for the x-linked, recessive hemophilia allele mates with a man who does not have hemophilia. which of the possible offspring will have hemophilia? Which rhetorical device does Adichie use in this excerpt?ironymetonymysynecdocherhetorical question -What impact did the Holocaust have on the newly formed United Nations? What is the standard equation for the circle with center (1,-3) that passes through the point (2,2)? which of the following is acomputer program that detects, prevents. and takes action sto deactivate or remove malicious programmsd A survey of several 10 to 11 year olds recorded the following amounts spent on a trip to the mall: $18.31,$25.09,$26.96,$26.54,$21.84,$21.46 Construct the 98% confidence interval for the average amount spent by 10 to 11 year olds on a trip to the mall. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Which three words describe Annes character? Excerpt from Anne of Green GablesBy L. M. Montgomery What is the name of place where you can find only the males such as animals, birds, human beings? Research shows that teen (15-19) pregnancy rates have been decreasing over the past 20 years. Why do you believe that statistics show this change? (Provide 5 sentences). Kyle would increase his consumption of turkey sandwiches from 7 to 9 per week if their price fell from $6 to $4. This illustrates the idea of:_______ Leaves absorb oxygen to make food True or false What mass of oxygen reacts during the incomplete combustion of 18.0 g of propane? The three displacement vectors have magnitude of A=5.00m,B=5.00m and C=4.00m.Find the resultant (magnitude and directional angle) of the three vectors? You have two buffered solutions. Buffered solution 1 consists of 5.0 M HOAc and 5.0 M NaOAc; buffered solution 2 is made of 0.050 M HOAc and 0.050 M NaOAc. How do the pHs of the buffered solutions compare Instructions: Find the measure of the indicated angle to the nearest degree. You are the treasurer of your Career and Technical Student Organizations (CTSO) and are in charge of a fundraiser. You have the key to the cash box. You remember that today is the due date for your down payment for a choir trip to NYC. You need to turn in $100 or you cant go. You have the money at home; you just forgot to bring it. You know that no one will check the cash box, and you can borrow the money, and return it first thing in the morning. What do you do?