There are 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class. The students need to be placed on teams of equal size with students from only their own class. What's the largest size of a team?

Answers

Answer 1

The largest size of a team according to the task content is; 20 kids.

What is the largest size of a team?

It follows from the task content that the population is; 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class.

However, since, the team forming condition states that students be placed on teams of equal size with students from only their own class.

It therefore follows that the largest size of a team is 20 as only 20 students are in Mrs. Tanya's class hence leaving 4 kids in Mrs. Olga's class without a team.

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Related Questions

Evaluate 2-(-4)+(-y)2−(−4)+(−y)2, minus, left parenthesis, minus, 4, right parenthesis, plus, left parenthesis, minus, y, right parenthesis where y = 7y=7y, equals, 7.

(on khan academy)

Answers

The value of the expression [tex]2-(-4)+(-y)^2-(-4)+(-y)^2[/tex] after substituting y = 7 is 108

Evaluation of Expression

The given expression is:

[tex]2-(-4)+(-y)^2-(-4)+(-y)^2[/tex]

Simplifying the expression, we have:

[tex]2+4+y^2+4+y^2\\\\2y^2+10[/tex]

Substitute y = 7 into the simplified expression

[tex]2(7)^2+10\\\\=2(49)+10\\\\=98+10\\\\=108[/tex]

Therefore, after substituting y = 7, into the expression [tex]2-(-4)+(-y)^2-(-4)+(-y)^2[/tex], the resulting value is 108

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Answer: -1

Step-by-step explanation: khan academy

Given AB=10cm, CD=11cm, and AD=39cm, find the length of BC

Answers

Answer:

BC = 18 cm

Step-by-step explanation:

As we can see from the diagram:

AB + BC + CD = AD

⇒ 10 cm + BC + 11 cm = 39 cm

⇒ BC + 21 cm = 39 cm

⇒ BC = 39 cm - 21 cm

⇒ BC = 18 cm

The line segment AB has the endpoints (-21, -7) and (-6,3) Point C are partitions the line at a ratio of 4;1 What are the coordinates of point C?

Answers

The coordinates of point C are (-9, 1)

How to determine the coordinates of point C?

The points are given as:

A = (-21, -7)

B = (-6, 3)

m : n = 4 : 1

The coordinates of point C is calculated as:

[tex]C = \frac{1}{m+n} *(mx_2 + nx_1, my_2+ ny_1)[/tex]

So, we have:

[tex]C = \frac{1}{4+1} *(4 * -6 + 1 * -21, 4 * 3+ 1 * -7)[/tex]

This gives

[tex]C = \frac{1}{5} *(-45, 5)[/tex]

This gives

C = (-9, 1)

Hence, the coordinates of point C are (-9, 1)

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Find all primes p, q such that p^2-p=37q^2-q

Answers

The pairs of prime numbers (p,q) such that  p^2-p=37q^2-q is (43, 7)

How to determine the pairs of numbers?

The expression is given as:

p^2 - p=37q^2 - q

The boundary or range of numbers of p and q is not given.

So, we make use of numbers between 2 (because 1 is not a prime number) and a very large number (say 1000000)

i.e. 2 ≤ p ≤ 1000000 and 2 ≤ b ≤ 1000000

Using the above range, we have the following program to determine the pairs of prime numbers (p, q).

for a in range(2,1000000):

  for b in range(2,1000000):

      if ((a* *2) - a) == (37 * (b* *2) - b):

          print(str(a)+","+str(b))

The output of the above program is:

(43, 7)

The above represent all pairs of prime numbers (p,q) such that p^2 - p=37q^2 - q

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1. Based on the circular
angle below. What is the
best measurement
the angle?
for
a. less than 90°
b. more than 90°
C. more than 180°
d. less than 60°

Answers

Answer:

B. More than 90

Step-by-step explanation:

Hope this helps!

How much would you need to deposit in an account in order to have $3000 in five years assume the account earns 6% interest compounded monthly

Answers

There are $2224.12 need to deposit in an account in order to have $3000 in five years.

What is future value?

Future value is the worth of a financial asset or investment on a specific future date. In other words, future value is the amount of money an investment will be worth, assuming a specific rate of return, after a specific amount of time (interest rate).

Given:

Future value = FV = $3000

Number of years = t = 5

Interest rate = r = 6% = 0.06

Compounding period = n = 12

We have to find the present value form given problem.

Consider, the Future value formula,

[tex]FV = PV(1 + \frac{r}{n})^n^*^t[/tex]

Plug the values in the above formula.

[tex]3000 = PV(1+\frac{0.06}{12})^1^2^*^5\\ 3000 = PV(1+0.005)^6^0\\3000 = PV(1.005)^6^0\\PV = 2224.11658[/tex]

PV = $2224.12

Hence, there are $2224.12 need to deposit in an account in order to have $3000 in five years.

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What is the ones digit in the number 3^2091?

Answers

Answer:

7

Step-by-step explanation:

Let's look at powers of 3 and if a pattern forms for the ones digit.

3^0 = 1

3^1 = 3

3^2 = 9

3^3 = 27

3^4 = 81

3^5 = 243

3^6 = 729

3^7 = 2187

3^8 = 6561

3^9 = 19683

3^10 = 59049

3^11 = 177147

etc.

Using the table above, we see a repeating pattern for the ones digit:

1, 3, 9, 7, 1, 3, 9, 7, 1, 3, 9, 7, etc.

Now let's look at the exponent of 3 compared to the ones digit.

exponent, ones digit

0, 1

1, 3

2, 9

3, 7

4, 1

5, 3

6, 9

7, 7

etc.

Let's write the exponent of 3 as a multiple of 4 plus an integer followed by the ones digit.

4 × 0 + 0, 1

4 × 0 + 1, 3

4 × 0 + 2, 9

4 × 0 + 3, 7

4 × 1 + 0, 1

4 × 1 + 1, 3

4 × 1 + 2, 9

4 × 1 + 3, 7

etc.

When the exponent is a multiple of 4, the ones digit is 1.

When the exponent is 1 added to a multiple of 4, the ones digit is 3.

When the exponent is 2 added to a multiple of 4, the ones digit is 9.

When the exponent is 3 added to a multiple of 4, the ones digit is 7.

Now let's look at out exponent, 2091.

2091/4 = 522.75

2091 = 4 × 522 + 3

2091 is 3 added to a multiple of 4, so the ones digit is 7.

Which equations are examples of the Distributive Property of Multiplication over Addition? (Choose 2)

Answers

Answer: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends. So, 5(5) + 5(9) = 25 + 45 = 70.

Step-by-step explanation:

A
C
Which choice correctly shows the line y
= -X?
NHH
1
-4-3-2-1 1 2 3 4
W23
-2
-3
31
2
1
#
B
D
31
21
2
1
-4-3-2-11 2 3 4
123
-2

Answers

The graph is shown in the attached image.

48.5 x 8.78
show your work ;)

Answers

The answer is 425.83

E and F are two events and that P(E)=0.2 and P(F/E)=0.6 what is P(E and F)

Answers

The probability of E and F expressed as P(E and F) equals;0.12

How to solve Conditional Probability?

We are given;

P(E) = 0.2

P(F|E) = 0.6

Now, P(F/E) is known as conditional probability and it means the probability of event F given the probability of another event E. This can be expressed as; P(F|E) = P(E and F)/P(E)

Thus;

P(E and F) = 0.2 * 0.6

P(E and F) = 0.12

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A jar of tickets for a drawing contains 22 winning tickets and 63 non-winning tickets. What are the odds against winning in the drawing? please help​

Answers

Answer: 22/85

Step-by-step explanation:

Answer:

22/85

Step-by-step explanation:

The angle of depression from a boat to a fish swimming inside the lake is 60 The fish is 17sqrt(3) * m below the surface. How far is the fish from the boat?
What is M?

Answers

When the angle of depression from a boat to a fish swimming inside the lake is 60, then 17 meters separate the fish from the boat.

What is a depression angle?

The angle at which a line drawn from one point on a horizontal line to cross another point below the line would intersect is referred to as the angle of depression, as opposed to the angle of elevation. The angle at which the object can be observed from the horizontal line and the horizontal line is called the angle of depression. It is primarily used to determine the distance between two points where we know the angles and an object's distance from the ground.

Evaluating :

Let's take the point on the water where the boat touches as A;

let's take the point below the water where the fish's axis and the boat's axis meet as B;

let's take the point where the fish is C.

Since angle C is an alternative angle, we can solve the equation by using tan.

                         The depth of fish in the water = 17√3m

                                  Angle C = 60° (alternative angle)

So , by using tan we get the equation,          

                         17√3/x

                           = tan 60°

                           = 17√3/x

                           = √3

X = 17 m

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solve the given differential equation by variation of parameters. xy'' − 8y' = x8

Answers

The given differential equation has the answer C₁ +C₂ 1/81 -x⁹ +1/9 x⁹ln(x). It has been solved using the variation of parameters method below.

We have the differential equation xy'' − 8y' = x^8.  In order to solve any differential equation using the variation of parameters method, we first write the equation as and solve -

= xy'' − 8y' = 0

After solving this, we get the Auxiliary equation-

so CF is y = 1/9 x⁹ +  C₁ +C₂

Now, we write -

y1 (x) =  1/9 x⁹

y2 (x) = 1

y1'(x) = x^8

y2'(x) = 0

now, using wronskian formula

= W = -x^8

Now, applying the formulas -

= u =  [tex]- \int{\frac{f(x)y2(x)}{W(x)} } \, dx[/tex] and v = [tex]\int{\frac{f(x)y1(x)}{W(x)} } \, dx[/tex]

= u = log(x) and v = -x⁹/81

now particular integrals are

PI = 1/81 -x⁹ +1/9 x⁹ln(x)

total solution

y = C.F+P.I

y = C₁ +C₂ 1/81 -x⁹ +1/9 x⁹ln(x)

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Find the z-scores for the two normally distributed random variables, measured using different units of length.

a) x = 22 in, where X comes from N (15, 2.5)
b) y = 55.88 cm, where Y comes from N (38.1, 6.35)

Answers

Using the normal distribution, the z-scores are given as follows:

a) Z = 2.8.

b) Z = 2.8.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Item a:

The parameters are:

[tex]\mu = 15, \sigma = 2.5[/tex]

Hence the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 15}{2.5}[/tex]

Z = 2.8.

Item b:

The parameters are:

[tex]\mu = 38.1, \sigma = 6.35[/tex]

Hence the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.88 - 38.1}{6.35}[/tex]

Z = 2.8.

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What is the unit price of a Mt. Dew if a six packs costs $2.70

Answers

Answer:

270 uits

Step-by-step explanation:

The graph below shows the amount of money charged by two electricity providers per month, depending on the amount of electricity used. a) Catherine uses 240 kWh of electricity per month. Which provider would be cheaper for Catherine? b) Stephanie uses 140 kWh of electricity per month. How many more kWh of electricity would Stephanie have to use per month to mean that she would be charged the same amount of money by provider A as by provider B? If your answer is a decimal, give it to 1 d.p. y Cost per month (£) 0 Provider A y = 72 +15 Provider B y = 26 +25 Electricity usage per month (kWh) ​

Answers

Watthours are the units used to measure the amount of electricity used over time.

The amount of power utilized is determined by what?Watthours are the units used to measure the amount of electricity used over time.Kilowatts produced or used for one hour are measured as one kWh. For instance, if you use a 40-Watt (0.04 kW) light bulb for five hours, you've used 200 Wh (or 0.2 kWh) of electricity.It seems to reason that energy use increases with the number of residents in a house. An individual uses 909 kWh a month on average. There are 1,818 kWh used each month if there are at least two occupants in the house. The typical American family uses 4,312 kWh year or 3,636 kWh each month, which is the number of people living in the household.                

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Answer:

Step-by-step explanation:

Bill is towing a water tank and needs to know how heavy it will be when filled. If 1 gallon of water weighs 8.5 lbs., how much will the 250-gallon tank weigh? Responses 386 lbs. 386 lbs. 2,125 lbs. 2,125 lbs. 4,003 lbs. 4,003 lbs. 1,954 lbs.

Answers

Answer:

2125 lbs

Step-by-step explanation:

1 gallon = 8.5 lbs

we know 1 gallon * 250 = 250 gallons

multiply both sides by 250 to get 250 gallons on one side

250 gallons = 8.5* 250 lbs = 2125 lbs

You are offered two different sales jobs. The first company offers a straight commission of 5% of the sales.
The second company offers a salary of $ 210 per week plus 2% of the sales. How much would you have to
sell in a week in order for the straight commission offer to be at least as good?

Answers

Answer:

The offers are equal at $7,000, after $7,000 more money will be made with a straight commission.

Step-by-step explanation:

.05x = .02x + 210  Subtract .02x from both sides.

.03x  = 210   Divide both sides by .03

x  = $7,000.

NEED IN HELP ASAP!!! OFFERING points

Answers

Answer: 140

Step-by-step explanation:

20+10+10+50+35+15

50+20+35+10+15=130

           -

Which of the following sets of numbers could not represent the three sides of a triangle?

Answers

Answer:

Step-by-step explanation:

If you start at -4,3 move 8 units to the right and 10 units down, at what point on the graph would he end up? Which quadrant is the new point in?

Answers

Answer:

If you start at (-4,3) and move 8 units to the right and 10 units down, you would end up at the point (4,-7).

The point is located in the 3rd quadrant, where the x-coordinates are negative and the y-coordinates are negative.

It's important to note that moving 8 units to the right means moving to the positive direction on x-axis and moving 10 units down means moving to the negative direction on y-axis.

A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of the sphere so formed​

Answers

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

Volume of Cylinder and Sphere: Cylinder:

     Diameter = 18 cm

                  r = 18÷ 2 = 9 cm

                 h = 12 cm

[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]

                                    = π * 9 * 9 * 12 cm³

Sphere:

  [tex]\sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}[/tex]

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

 [tex]\sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12[/tex]

      [tex]\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}[/tex]

Find the equation of an ellipse satisfying the given conditions.
Foci: (-4, 0) and (4, 0); length of major axis: 14?

Answers

The equation of the ellipse is [tex]\frac{x^2}{49} + \frac{y^2}{65} = 1[/tex]

How to determine the ellipse equation?

The given parameters are:

Foci: (-4, 0) and (4, 0)Length of major axis = 14

The above means that:

c = 4 and

The semi-major axis, a = 7 i.e 14/2

Calculate b using

[tex]b = \sqrt{c^2 + a^2[/tex]

So, we have:

[tex]b = \sqrt{4^2 + 7^2[/tex]

[tex]b = \sqrt{65[/tex]

Square both sides

[tex]b^2 = 65[/tex]

The standard form of the ellipse is represented as:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

This gives

[tex]\frac{x^2}{7^2} + \frac{y^2}{65} = 1[/tex]

Evaluate

[tex]\frac{x^2}{49} + \frac{y^2}{65} = 1[/tex]

Hence, the equation of the ellipse is [tex]\frac{x^2}{49} + \frac{y^2}{65} = 1[/tex]

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The diagram below shows the dimensions of a can of tomatoes. HELP!! TYY
A can of tomatoes is shown. A dashed line across the top of the can is labeled nine centimeters. The height of the can is labeled twelve and four tenths centimeters.

How much tin was used to make the can rounded to the nearest square centimeter? Use 3.14 for π.

Enter the correct answer in the box.

_______cm^2

Answers

The amount of tin used to make the can is about 478 cm².

To find the amount of tin used to make the can, we need to calculate the total surface area of the can. A can is a cylinder, so we can use the formula for the total surface area of a cylinder to calculate it:

Surface area = 2πr² + 2πrh

Where r is the radius of the can and h is the height of the can.

Given that the height of the can is 12.4 cm, we can use the information that the dashed line across the top of the can is labeled 9 cm to calculate the radius of the can.

r = dashed line / 2 = 9cm / 2 = 4.5 cm

Now we can substitute the values of r and h in the formula:

Surface area = 2π (4.5 cm)² + 2π (4.5 cm) (12.4 cm) = 477.594 cm²

Rounding to nearest square centimeter: 478 cm²

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Which expression is equivalent to √2+4?
OA. (2+4)²
OB. (2+4)²
OC. 6
D. 62

Answers

Option A, root(2+4) = root 6. Can be written as (2+4)^1/2

Solve the equation below for x. Enter your answer as a fraction in lowest
terms, using the slash mark (/) as the fraction bar.
7/20 + 3/16 = x
x=

Answers

Answer:

Step-by-step explanation:

7/20 + 3/16 = x

x = 7/20 + 3/16

LCM of 20 and 16 = 80

x = 28/80 + 15/80

x =  43 /80

Answer:

x = 0.5375

Step-by-step explanation:

=7/20 + 3/16 = x

=LCM = 80

=80×7/20 + 80×3/16 = x × 80

=4×7 + 5×3 = x × 80

=28 + 15 = 80x

=43 = 80x

=43/80 = 80x/80

=43/80 = x

=0.5375 = x.

Sorry but I don't know how to use the slash mark (/).

PLEASE ANSWER PLEASE ANSWER

2. The spread of the Ebola virus in Africa in 2014 could be modeled by where C(1) represents the number of cases, and t represents the number of days since May 1, 2014). (source: http://www.geert.io/exponential-growth-of

ebola.html) a. [3 pts] Approximately how many cases were there on May 1, 2014 (round to two decimal places)?

b. [3 pts] How many cases were projected by November 24, 2014 (round to 2 decimal places)?

c. [4 pts] Find C(92) and explain what it means in the context of the problem.​

Answers

(a) The number of cases on May 1, 2014, was approximately 188.59.

(b) The number of cases on November 24, 2014, was approximately 27107.76.

(c) C(92) = 1715.70.

This means that on the 92nd day from May 1, 2014, the number of Ebola cases in Africa was approximately 1715.70.

Computed using the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

We are given that the spread of the Ebola virus in Africa in 2014 could be modeled by the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex], where C represents the number of cases and t represents the number of days since May 1, 2014.

(a) In the question, we are asked for the approximate number of cases on May 1, 2014.

Since, the date is May 1, 2014, t = 0.

Thus, the number of cases, C, can be calculated by putting t = 0, in the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

[tex]C(0) = 188.59e^{0.024*0}\\\Rightarrow C(0) = 188.59e^0\\\Rightarrow C(0) = 188.59[/tex]

Thus, the number of cases on May 1, 2014, was approximately 188.59.

(b) In the question, we are asked for the approximate number of cases on November 24, 2014.

Since, the date is November 24, 2014, t = 207.

Thus, the number of cases, C, can be calculated by putting t = 207, in the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

[tex]C(207) = 188.59e^{0.024*207}\\\Rightarrow C(207) = 188.59e^{4.968}\\\Rightarrow C(207) = 188.59*143.739121458\\\Rightarrow C(207) = 27107.76[/tex]

Thus, the number of cases on November 24, 2014, was approximately 27107.76.

(c) We are asked to find C(92).

This can be found by putting t = 92, in the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

[tex]C(92) = 188.59e^{0.024*92}\\\Rightarrow C(92) = 188.59e^{2.208}\\\Rightarrow C(92) = 188.59*9.09750317953\\\Rightarrow C(92) = 1715.70[/tex]

Thus, C(92) = 1715.70.

This means that on the 92nd day from May 1, 2014, the number of Ebola cases in Africa was approximately 1715.70.

The complete question is:

"The spread of the Ebola virus in Africa in 2014 could be modeled by [tex]C(t) = 188.59e^{0.024t}[/tex] where C represents the number of cases and t represents the number of days since May 1, 2014. (source: http://www.geert.io/exponential-growth-of-ebola.html)

a. [3 pts] Approximately how many cases were there on May 1, 2014?

b. [3 pts] How many cases were projected by November 24, 2014?

c. [4 pts] Find C(92) and explain what it means in the context of the problem.

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Find the surface area of the figure. For calculations involving π give both the exact value and an approximation to the nearest hundredth of a unit. Let r = 5 and h = 5

Answers

Answer:

100 pi = about 314.16

Step-by-step explanation:

the surface area of a cylinder: SA = 2πrh+2πr^2

we plug in the values of r and h, and get

SA = 50pi + 50pi = 100 pi, which is approximately 314.16

How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Answers

Solving a system of equations we will see that we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

How many liters of each solution do we need to use?

First, we need to define the variables:

x = liters of the 35% acid used.y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

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While freedom of the press is an important part of journalism in the United States, the press still has some limitations. Choose one of these limitations and give two benefits of this limitationPlease no wrong answers Small Bank holds reserves of $50 million. The Fed sells Small Bank $20 million in bonds. What will Small Bank do if it wants to maintain reserves of $50 million? (Hint: Recall that both reserves and bond holdings are entered on the Assets side of a bank's balance sheet) Select the correct answer below. O Small Bank will make $20 million in new loans O Small Bank will make $30 million in new loans. OSmall Bank will make $50 million in new loans. O Small Bank will halt loans or slow down the rate of new loans until the desired reserve level is attained. I FEEDBACK MORE INSTRUCTION SUBMIT Content attribution Question: A $20,000 bond has annual coupons and is redeemable at the end of 14 years for $22,600. It has a base amount equal to $18,450 when purchased to yield 6%. Find its base amount if it were purchased to yield 7%. ** which f-stop will let the least light through the lens and gives you the most depth of field? Problems 1 - 6, Find the solutions to the differential equations, subject to the given initial conditions. 1. 6x + 5y one = 0,y(3) = 2. Write your answer in standard form: Ax? + By2 = C. to what temperature will 7300 j of heat raise 3.5 kg of water that is initially at 12.0 c ? the specific heat of water is 4186 j/kgc . Ground Speed of a Plane A plane is flying at an airspeed of 340 miles per hour at a heading of 124. A wind of 45 miles per hour is blowing from the west. Find the ground speed of the plane. according to dr. ward, when was the stabilizing power of the 2p (2 proline) mutations in spike proteins discovered and developed? what does the cross product of two vectors represent what is a state owned enterprise which layer is responsible for establishing a temporary communication session between the source and destination host applications? Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add? Original (Gallons) Added (Gallons) New (Gallons) Amount of Detergent 1. 98 0 Amount of Solution 11 g StartFraction 1. 98 Over 11 g EndFraction minus StartFraction 12 Over 100 EndFraction = 1 StartFraction 1. 98 Over 11 g EndFraction StartFraction 12 Over 100 EndFraction = 1 StartFraction 11 g Over 1. 98 EndFraction = StartFraction 12 Over 100 EndFraction StartFraction 1. 98 Over 11 g EndFraction = StartFraction 12 Over 100 EndFraction. A thin metal plate is shaped like a semicircle of radius 6 in the right half-plane, centered at the origin. The area density of the metal only depends on x, and is given by rho(x)=1. 7+2. 2x kg/m2. Find the total mass of the plate 1) When solutions of cobalt II nitrate and sodium hydroxide are mixed, a precipitate of cobalt II hydroxide is formed along with sodium nitrate dissolved in water drs. jackson and o'brien work at a residential chemical dependency unit. they are interested in studying coping strategies among heroin users. the doctors survey residents at the chemical dependency unit where they work. they are using a(n): Concentrated nitric acid is 70.4% HNO3 by mass. What is the mole fraction of nitric acid? adj. ordinary; commonplace; of this world (rather than the world beyond) is called how many possible phone numbers contain 2021 as a contiguous subsequence (e.g. 532-0219 or 202-1667 but not 230-6179 nor 227-5986)? Find the domain of the function p(x)=square root 17/x+5 a long-term response to an increase in blood pressure would involve