A rope is cut into equal pieces, and 8 of the pieces are used to tie up
packages. The fraction below shows how much of the rope is left over
According to the fraction, into how many pieces was the rope cut?
A. 8
B. 11
C. 3
D. 5

Answers

Answer 1

Answer:A

Step-by-step explanation:

8 is the only equal number

Answer 2

Answer:

i believe its 8 :)


Related Questions

Solve xin for the figure

Answers

X=16 hope that helps!


Which point is the centroid of triangle JKL?

A. Point K
B. Point M
C. Point R
D. Point J

Answers

Answer:

The answer is C. Point R.

Step-by-step explanation:

It is point R because that is where all the lines meet in the center.

Solve for x 3(2x-4)=6

Answers

6x-12=6
6x= 6+12
6x=18
x= 3

1. Divide both sides by 3

2x - 4 = 6/3

2. Simplify 6/3 to 2

2x - 4 = 2

3. Add 4 to both sides

2x = 2 + 4

4. Simplify 2 + 4 to 6

2x = 6

5. Divide both sides by 2

x = 6/2

6. Simplify 6/2 to 3

x = 3

Is parallelogram HIJK a rhombus?

Answers

Answer:

yes it is

Step-by-step explanation:

the answer is yes , yes it is a rhombus

$9000 is 60% of what number?

Answers

Answer:

15000

Step-by-step explanation:

We have, 60% × x = 900 or,  

60

100

× x = 9000

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 9000 ×  

100

60

x = 15000

If you are using a calculator, simply enter 9000×100÷60, which will give you the answer.

1. In the diagram, AA'B'C' is an image of AABC. Which rule describes this translation?
O(x, y) → (x-5,y-3)
O(x, y) + (x + 5, y + 3)
O(x,y) → (x-3, y-5)
O(x, y) (x+3, y + 5)

Answers

Option B: [tex](x, y) \rightarrow(x+5, y+3)[/tex] is the rule for the translation

Explanation:

The coordinates of A,B,C are [tex](-3,2)[/tex] ,[tex](-3,-3)[/tex] , [tex](0,-2)[/tex]

The coordinates of A',B',C' are [tex](2,5)[/tex] , [tex](2,0)[/tex] , [tex](5,1)[/tex]

We need to determine the rule for the translation

The rule for the translation is given by

[tex]P(x, y) \rightarrow P^{\prime}(x+a, y+b)[/tex]

Let us determine the translation from A to A'

[tex]A(-3,2)\rightarrow A^{\prime}(-3+a, 2+b)\rightarrow A'(2,5)[/tex]

Thus, we have,

[tex]\begin{aligned}-3+a &=2 \\a &=5\end{aligned}[/tex]   and   [tex]\begin{array}{r}2+b=5 \\b=3\end{array}[/tex]

Thus, the rule is given by

[tex](x, y) \rightarrow(x+5, y+3)[/tex]

Therefore, Option B is the correct answer.

Answer:

its b

Step-by-step explanation:

hdhbdbehebebehrbrb

What do i do on this.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{6-4x}{y^{4}}=\frac{6-4*(-7)}{2^{4}}\\\\=\frac{6+28}{16}\\\\=\frac{34}{16}\\\\=\frac{17}{8}\\\\=2\frac{1}{8}[/tex]

Which describes how to calculate the range of this data set?

4, 5, 6, 8, 11, 12
Subtract 11 - 5
Subtract 12 - 4
Add 11 + 5
Add 12 + 4

Answers

Answer:

12 - 4

Step-by-step explanation:

To get the range, subtract the lowest number from the highest

The highest number is 12

The lowest number is 4

Range = 12 - 4

= 8

Answer:

12 - 4

Step-by-step explanation:

To get the range, subtract the lowest number from the highest

The highest number is 12

The lowest number is 4

Range = 12 - 4

= 8

Step-by-step explanation:

how do you do this ​

Answers

You square it so for example the first one would be 1

Answer:

The best choice is to use a calculator (the button is [tex]\sqrt[/tex]), but if that is not an option here are a few tips.

If a perfect square ends with a 1, then the last digit of its square root has to be either 1 or 9.

If a perfect square ends with a 4, then the last digit of its square root has to be either 2 or 8.

If a perfect square ends with a 5, then the last  digit of its square root is definitely 5.

If a perfect square ends with a 6, then the last digit of its square root has to be either 4 or 6.

If a perfect square ends with a 9, then the last digit of its square root has to be either 3 or 7.

I took a look and all of them seem to be perfect squares so hopefully this helps!


Which relation is a function?
A) x = y2 - 3
B) x = y - 4x2
C) y2 = 4x - 6
D) x2 = y2 - 10

Answers

Answer:it is B

Step-by-step explanation:

The fraction 40/50 is equivalent to ___. *
1 point



.13



1.25



80%



20%

Answers

Answer:

80%

Step-by-step explanation:

80% because 40/50 is equal to 80%

Please help are these answers correct.

Answers

Answer:

answer sheet please give me brainly

Step-by-step explanation:

1.  the answer is   -1 • (7r + 6)  

2. that answer is right

3. that answer is right

4. the answer is       3h - 16  

5. the answer is   8 • (6 - 7s)

6. that answer is right

7. the answer is  -9 • (6r + 5)

8. the answer is  -14r - 43

9. the answer is   49z - 18

10. the answer is     14 + b  

Answer:

tttttt

Step-by-step explanation:

ttytddfgfdgfgfdg

Which expression is equivalent to y times y times y times z times z times z times z? y cubed z Superscript 4 12xy (y z) Superscript 7 7xy

Answers

Answer:

Option 1 - y cubed z superscript 4

Step-by-step explanation:

Given : Expression y times y times y times z times z times z times z.

To find : Which expression is equivalent to given expression ?

Solution :

Re-write the expression as,

[tex]y \times y \times y \times z \times z \times z \times z[/tex]

Write the number of time value repeat itself as the power,

[tex]y \times y \times y \times z \times z \times z \times z=y^3\times z^4[/tex]

[tex]y \times y \times y \times z \times z \times z \times z=y^3z^4[/tex]

or we can say that the expression is y cubed z superscript 4.

Therefore, option 1 is correct.

Answer:

it is A).

Step-by-step explanation:

The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width.

Answers

Answer:

Step-by-step explanation: 5 times 2 equals 10

Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the event for close friends. She is taking $200.00 to the festival . What is the maximum Numbers of t-shirts staci can purchase

Answers

Answer:

3 t-shirts

Step-by-step explanation:

Lets recap the information we will use from this problem:

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

Final answer:

After paying for the festival ticket, Staci will have $112.04 left. As each t-shirt costs $30, she can buy a maximum of 3 t-shirts.

Explanation:

The question is about determining how many T-shirts Staci can purchase given a specific budget. First, Staci has to cover the cost of the music festival ticket, which is $87.96. After paying for the ticket, Staci would have $200 - $87.96 = $112.04 left.

Given that each T-shirt costs $30, the maximum number of T-shirts she can purchase can be calculated by dividing the remaining amount by the cost of a T-shirt. Hence, $112.04/$30 ≈ 3.73. Since she can't buy a fractional T-shirt, the maximum number of T-shirts she can buy is 3.

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which expression is equivalent to -3.4+(-y)- -5/8?

Answers

Answer:

- 2.775 - y

Step-by-step explanation:

 -3.4+(-y)- -5/8

Note: (1) + × - = -

2) - × - = +

3) - × + = -

Therefore

 -3.4+(-y)- -5/8

= -3.4 - y + 5/8

-3.4 - y + 0.625

Collect like terms

0.625 - 3.4 - y

= - 2.775 - y

I hope this was helpful, please mark as brainliest

Solve this equation with a variable term on both sides:

5.1y + 21.3 = –0.3y – 24.6

What is the solution?

y =

Answers

Answer:

-8.5

Step-by-step explanation:

5.1y + 21.3 = -0.3y - 24.6

get the equation to one side and have so it y is positive

5.4y + 45.9= 0

Then subtract 45.9 to the 0 so its like this

5.4y = -45.9

then devide -45.9/5.4

answer y= -8.5

Answer:

-8.5

Step-by-step explanation:

A shipping company damaged 15 packages. Each package was valued at $175.50. Which expression represents this situation?


A. 15 x (-$175.50)

B. 15 + $175.50

C. 15 – $175.50

D. 15 ÷ (-$175.50)

Answers

Answer: A

Step-by-step explanation:

15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)

Expression represents the situation of shipping company damages is 15 x (-$175.50).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, a shipping company damaged 15 packages and each package was valued at $175.50. Hence,

Expression that represents this situation = 15 * 175.50

this value will be in negative since its a loss.

Therefore, The expression 15 x (-$175.50) depicts the state of the transportation company's damages.

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you have 480 roses and 24 of them dies, how many per cent died?

Answers

Answer:

5%

Step-by-step explanation:

5% of the roses died.

480 roses = Total number of roses

24 roses = number of roses that died

24 roses that died as a percent of 480 the total is:

24/480*100= 5%

To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.

Final answer:

To find out the percentage of roses that died, you can use a proportion where 24 out of 480 roses is equal to x out of 100, and solve for x, resulting in 5% of the roses that died.

Explanation:

To calculate the percentage of roses that died, you can set up an equivalent fraction that compares the number of dead roses to the total number of roses, with 100 as the denominator. In this case, 24 roses died out of 480. The fraction for this scenario is 24/480, and you want to find out how this fraction translates to a percentage.

To do this, you would set up a proportion like this:

24/480 = x/100

Cross-multiply to solve for x, which represents the percentage of dead roses:

24*100 = 480*x

2400 = 480*x

x = 2400/480

x = 5

So, 5% of the roses died.

Solve for y: 4(2y-1) = 3y + 9

Answers

Answer:

4 (2y-1)=3y+9

-2y. -2y

4 (1)=1y+9

-1. -1

4=1y+8

÷4. ÷4

0=1y+2

Answer:

y = 2.6

Step-by-step explanation:

in order to solve for y in the equation 4(2y-1) = 3y + 9

we fisrt open the bracket according to BODMAS rule

4(2y-1) = 3y + 9

8y - 4 = 3y + 9

the next strp is to collect the like terms

8y -4 -3y = 9

please note that when ever you are taking a positive number across the equall to sign it changes to negative (-) same thing applies to negative sign it changes to positve(+) respectively

8y-3y = 9 + 4

5y = 13

divide both ides by 5

5y/5 = 13/5

y = 2.6

In Mr. Williams' 2nd hour class, 40% of the students scored a 85% or higher on a quiz. If 20 students scored a 85% or higher on the quiz, how many students are in Mr. Williams' 2nd hour class?


Answers

Answer:

50 students

Step-by-step explanation:

40% of total students = 20

"of" means multiply

[tex]40\% \times \ total = 20\\\frac{40}{100} \times \ total = 20\\\\0.40 \times \ total = 20\\total = \frac{20}{0.4}\\\\total = 50[/tex]

600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much

Answers

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be [tex]600(1 - \frac{20}{100}) = 600 \times 0.8 = 480[/tex].

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be [tex]480(1 + \frac{20}{100}) = 480 \times 1.2 = 576[/tex].

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be .

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be .

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Find the minimum value of
C = x + y
subject to the following constraints:
2x + y = 20
2x + 3y = 36
X=0
Y=0

Answers

Answer:

14

Step-by-step explanation:

2x + y = 20                                                                                     (1)

2x + 3y = 36                                                                                  (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

          ⇔ 2y = 16

          ⇔ y = 8                                                                               (3)

From (3) and (1), we have:

    2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

Brainliest, please?

Final answer:

The minimum value of the function C = x + y, under the given constraints, is 0. This is obtained when both x and y are equal to 0. If the constraints 2x + y = 20 and 2x + 3y = 36 are considered, the value obtained is 16, which is larger.

Explanation:

To solve this problem, we need to substitute the values of x and y into the function C = x + y and then find the minimum. As our initial constraints state x=0 and y=0, we can try these values first. C at (x = 0, y = 0) is 0 + 0 = 0.

The above scenario considers only the initial constraints x=0 and y=0.So, let's consider the constraints 2x + y = 20 and 2x + 3y = 36. We can solve these two equations simultaneously to get the values of x and y. When we solve them, it results x = 4 and y = 12. Substitute these values in the function C = x + y, we get C = 4 + 12 = 16.

Therefore, comparing the values obtained, the minimum value of the function C = x + y, subjected to the given constraints, is 0 when both x and y are 0.

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What is the Area of a triangle with the base of 4 cm and the height of 8 cm?

Answers

Step-by-step explanation:

[tex]area \: of \: triangle \\= \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4 \times 8 \\ = 2 \times 8 \\ = 16 \: {cm}^{2} \\ [/tex]

If 300% of 0.18 is equivalent to 20% of b, then b is equivalent to what number?

Answers

Final answer:

To calculate the value of b, we equate 300% of 0.18 to 20% of b, convert percentages to decimals, and solve for b, resulting in b being 2.7.

Explanation:

To find the value of b when 300% of 0.18 is equivalent to 20% of b, we can set up the equation as follows:

300% × 0.18 = 20% × b

Converting percentages to decimal form gives:

3 × 0.18 = 0.2 × b

Now, we will multiply the numbers:

0.54 = 0.2b

To find the value of b, we divide both sides by 0.2:

b = \( \frac{0.54}{0.2} \)

b = 2.7

Therefore, the value of b is 2.7.

HELP PLEASE!

Evaluate the expression when x= 4 and y = 9.


5xy + 9x
——
y

Answers

Answer:5×4×9/9 +(9(4))

=180/9 + (36)

= 20+36

=56

Thank You

Answer:

24

Step-by-step explanation:

The solution to the question above is solved thus:

[tex] \frac{5xy + 9x}{y} [/tex]

Given that x = 4 and y = 9, substitute the values in the question thus:

[tex] \frac{5(4)(9) + 9(4)}{9} [/tex]

[tex] = \frac{5 \times 4 \times 9 + 9 \times 4}{9} [/tex]

[tex] = \frac{180 + 36}{9} [/tex]

[tex] = \frac{216}{9} [/tex]

[tex] = 24[/tex]

Edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a
job that pays $8 an hour as a library assistant working y hours a week. She will work both jobs.
She is able to work no more than 15 hours a week, due to school commitments. Edith wants to
earn at least $80 a week, working a combination of both jobs.
Write a system of inequalities that can be used to represent the situation.
Graph these inequalities on the set of axes.
Determine and state one combination of hours that will allow Edith to earn at least $80 per week
while working no more than 15 hours.

Answers

Answer:

Part A) The system of inequalities are

[tex]x+y\leq 15[/tex]

[tex]4x+8y\geq 80[/tex]

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Write a system of inequalities that can be used to represent the situation.

Let

x ----> the number of hours worked as a babysitter

y ----> the number of hours worked as a library assistant

we know that

She is able to work no more than 15 hours a week

so

[tex]x+y\leq 15[/tex] -----> inequality A

Edith wants to  earn at least $80 a week

The word "at least" means " greater than or equal to"

so

[tex]4x+8y\geq 80[/tex] ----> inequality B

Part B) Graph these inequalities on the set of axes.

Using a graphing tool

The solution of the system is the triangular shaded area in the attached figure

Part C) Determine and state one combination of hours that will allow Edith to earn at least $80 per week  while working no more than 15 hours

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities. (The ordered pair lie in the shaded area of the solution set)

Looking at the graph

The ordered pair (4,9) lie in the shaded area

Verify if the ordered pair satisfy both inequalities

Inequality A

[tex]4+9\leq 15[/tex]

[tex]13\leq 15[/tex] ---> is true

so

The ordered pair satisfy the inequality A

Inequality B

[tex]4(4)+8(9)\geq 80[/tex]

[tex]88\geq 80[/tex] --> is true

so

The ordered pair satisfy the inequality B

therefore

The ordered pair is a solution of the system

(4,9)

That means

The number of hours worked as a babysitter in a week is 4 and  the number of hours worked as a library assistant  in a week is 9

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

Inequality

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of hours at the $4 job and y represent the number of hours at the $8 job, hence:

x + y ≤ 15   (1)

Also:

4x + 8y ≥ 80  (2)

Graphing the inequality, the solution is at:

(5, 10)

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

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1 googol is 1 × 10100 Danesh says, " When I multiply 1.496 × 1011 by 6.68 × 109 I get nearly 1 googol because 1.496 × 1011 × 6.68 × 109 = 9.99 × 1099 " (b) Is Danesh correct? Give a reason for your answer

Answers

Final answer:

Danesh is incorrect as the multiplication of 1.496 × 1011 and 6.68 × 109 results in a value with 1020, not 1099. Moreover, 1 googol equals 1 × 10100, which is much larger.

Explanation:

No, Danesh is incorrect. According to the laws of exponents, when you multiply two powers with the same base, you add the exponents. Therefore, the multiplication of 1.496 × 1011 and 6.68 × 109 will result in a value that is multiplied by 1020 and not 1099. Also, 1 googol is significantly larger than the result of this multiplication because it is equal to 1 × 10100. Thus, the statement made by Danesh is inaccurate.

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What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?

Answers

Answer:

[tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.

Step-by-step explanation:

Given that [tex]a_1=-15[/tex] and [tex]a_{n+1}=a_n-8[/tex]

To find the closed linear form for this given sequence :

So each of the successive term of the given sequence is decreases by 8

Therefore the common difference is -8

The given sequence is a arithmetic sequence.

The general form is [tex]a_n=a_1+(n-1)d[/tex]

Substitute [tex]a_1=-15[/tex] and d=-8 in [tex]a_n=a_1+(n-1)d[/tex] we get

[tex]a_n=-15+(n-1)(-8)[/tex]

[tex]=-15-8n+8[/tex]

[tex]a_n=-8n-7[/tex]

Therefore [tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.

Answer:

c) an=-7+8n

Step-by-step explanation:

i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3

ursula sold 47 copies her new app for $26 each. How much money did Ursula make? Use the numbers below to fill in the area model. You may not use all of the numbers.

800 36 42 6 20
400 140 7 24 240

Answers

She made Atleast 1222 dollars for all of her apps sold

Final answer:

Ursula made $1,222 by selling 47 copies of her app for $26 each. The calculation is straightforward multiplication, and the numbers provided for the area model were not needed.

Explanation:

To calculate how much money Ursula made from selling 47 copies of her new app at $26 each, we should multiply the number of copies sold by the price per copy. So, the calculation will be as follows:

47 copies imes $26/copy = $1,222.

Therefore, Ursula made $1,222 from her app sales.

The numbers provided for the area model are part of another exercise and not relevant to this calculation. In this case, we did not need to use the area model to find the answer.

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Ok so I have this assignment due TOMORROW. ik i should've asked when last week but all I need to know is, am I right? If not, tell me some tips to change it. I already did the punnett square but I just want to know if the answers I gave to the questions were correct :)first cross: (first box) RR, (second box) Rr, (third box) RR, (fourth box) Rrsecond cross: (first box) Rr, (second box) Rr, (third box) Rr, (fourth box) Rrthird cross: (first box) rr, (second box) rr, (third box) rr, (fourth box) rr Is this statement true or false?In the village of Moon there are three weavers, two bakers, and a jeweler. The village has a granary as well as an open air market where most residents buy their food. The village is an example of a society with a division of labor. A 37.9 A current flows in a long, straight wire. Find the strength of the resulting magnetic field at a distance of 45.5 cm fromthe wire. Production Budget Pasadena Candle Inc. projected sales of 64,000 candles for January. 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If two students are selected at random from this class, what is the probability that both of them have volunteered for community service? Round your answer to four decimal places. P(both students have volunteered for community service) the absolute tolerance is __________ What major body structures belong to the digestive system Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference? SuperAmazona has ending inventory of $200,000, and cost of goods sold for the year just ended was $1,410,000. On average, how long does a unit of inventory sit on the shelf before it is sold? Portions of an MRNA strand that do not code for proteins areA. exons B. introns C. caps D. tails Revise the sentences by replacing the underlined phrases with those using strong, active verbsI was crossingthe blacktop toward the school as the buses were pulling inand I looked around for somewhere to hide, but there was nowhereI was embarrassedto go "Preston Electronics is an MNE with facilities located in Taiwan, Singapore, and Germany. Preston gives its local operations the authority to adapt value activities to prevailing local economic, political, legal, and cultural conditions. Preston is most likely using a(n) ________ strategy." Julin, Serena y Ronda ____ costarricenses A 0.453 kg pendulum bob passes through the lowest part of its path at a speed of 2.58 m/s. What is the tension in the pendulum cable at this point if the pendulum is 75.1 cm long? Submit Answer Tries 0/12 When the pendulum reaches its highest point, what angle does the cable make with the vertical? Submit Answer Tries 0/12 What is the tension in the pendulum cable when the pendulum reaches its highest point? The risk-free rate of return is 4%, and the market return is 10%. The betas of Stocks A, B, C, D, and E are 0.85, 0.75, 1.20, 1.35, and 0.5 respectively. The expected rates of return for Stocks A, B, C, D, and E are 7%, 9%, 9.5%, 12.1%, and 14% respectively. Which of the above stocks would an investor be indifferent towards buying or selling? How many grams of K2CO3 would you need to put on the spill to neutralize the acid according to the following equation? 2HBr(aq)+K2CO3(aq)2KBr(aq)+CO2(g)+H2O(l) What disaster of worldwide attention prompted the passage of a federal program subtitled the Emergency Planning and Community Right-to-Know Act of 1986 (EPCRA) which was mandated by SARA Title III?A. The burying of toxic materials at "Love Canal."B. The poisoning of drinking water at Woburn, Massachusetts made famous by the book "A Civil Action."C. The December 1984 toxic gas disaster in Bhopal, India.D. The spreading of PCB contaminated oil on the streets of Times Beach, Missoruri.E. None of the above. Everybody loves somebody sometime.One way to rewrite this sentence using passive voice is:A)Sometime somebody loves everybody.EliminateB)Somebody loves everybody at sometime.C)Somebody is loved by everybody sometime.D)Everybody feels love for somebody sometimes. Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation time is random, but on the average, it takes 15 sec to install one file, with a variance of 11 sec2. (a) What is the probability that the whole package is upgraded in less than 12 minutes?