What is the solution of the system of equations? Explain.
y = x +4
2
2y + 4 = x

Answers

Answer 1

The solution of the system of equations:

y = x + 422

y + 4  =x

is the point (-88, -46)

How to solve the system of equations?

Here we have the system of equations:

y = x + 42

2y + 4  =x

To solve the system, we can replace the first equation into the second one:

2*(x + 42) + 4 = x

2x + 84 + 4 = x

2x + 88 = x

2x - x = -88

x = -88

And the value of y is:

y = x + 42

y = -88 + 42 = -46

The solution is the point (-88, -46).

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Related Questions

A survey of all beings on planet Boondin found that 75% preferred alaber juice to all other juices. If 12 beings were surveyed altogether, how many of them preferred alaber juice?

Answers

The number of people who preferred alaber juice is 9 people

How many of them preferred alaber juice?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, the survey of all beings on planet Boondin found that 75% preferred alaber juice to all other juices. If 12 beings were surveyed altogether

Those who preferred alaber juice will be:

= 75% × 12

= 0.75 × 12

= 9

The number of people is 9.

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Multiple Choice
1. Write the following ratio in simplest form: 32 min:36 min
08:9
08:36
032:9
128:144

Answers

The following ratio is the simplest form of 32 min: 36 min is 8: 9. The correct option is a.

What is the simplest ratio in maths?

If two quantities of a ratio (i.e., antecedent and consequent) have no common factor (i.e., antecedent and consequent are co-prime), the ratio is said to be in its simplest form or in the lowest term.

The simplest form of the fraction is also known as the reduced form of a fraction. For instance, 34 is the simplest form of a fraction with a common component of one.

32/36 = 8:9. It is divided by 2.

Therefore, the correct option is a. 8:9.

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Answer:

The answer is D

Step-by-step explanation:

I hope it helps!

A gym employee is paid monthly. After working for 3 months,he had earned $4,500. To determine how much money he will make over a six-month period,he created the table below.

1. If he continues to earn at the same rate, how much will he have earned after working 5 months?

2) After how many months will the gym employee have made $19,500?

3) Write an equation to represent the constant of proportionality.

Answers

1. The amount that the employee make in 5 months will be $7500.

2. The number of months that the gym employee have made $19,500 is 13 months.

3. The equation to represent the constant of proportionality is C = 1500m

What is the constant of proportionality?

The constant of proportionality simply shows the ratio of two proportional values that possess a constant value.

Since after working for 3 months, he had earned $4,500. The amount per month will be:

= $4500 / 3

= $1500

The amount in 5 months will be:

= $1500 × 5

= $7500

The number of months that the gym employee have made $19,500 will be:

= $19500 / $1500

= 13 months.

The equation to represent the constant of proportionality is c = 1500m. In this case, c = total amount earned and m = number of months.

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1. Explain what a polygon is and how it is classified. Give more than one example to justify your answer.
2. What is a one-hundred sided polygon called? Why?
3. Tell whether the following is or is not a polygon and justify your answer:

Answers

Answer:

1. Polygons are flat figures formed by a closed polygonal line and its interior. Any plane figure that is made up of “straight sides” is a polygon.

2.A 100-sided polygon is called a hectogon, centagon or 100-gon. In general, any n-sided polygon with over 12 sides is called an n-gon. While there are other conventions for naming polygons with any number of sides, it is most common to use the n-gon form.

Step-by-step explanation:

n interval estimation, as the sample size becomes larger, the interval estimate remains the same, because the mean is not changing. gets closer to 1.96. becomes narrower. becomes wider.

Answers

In interval estimation, when the sample size have become larger then the interval estimate then it will becomes narrower. Option (c) is correct.

A large sample of pattern length or decrease variability will bring about a tighter self belief c program interval with a smaller margin of error. A smaller pattern length or a better variability will bring about a much wider self belief c program interval with a bigger margin of error. The stage of self belief additionally impacts the c program interval width. The large your pattern, the greater certain you may be that their solutions genuinely mirror the population.

This suggests that for a given self belief stage, the bigger your pattern length, the smaller your self belief c program language period. The width of the self belief c program interval for an character observe relies upon to a massive volume at the pattern length. Larger research generally tend to provide greater unique estimates of effects (and therefore have narrower self belief intervals) than smaller research.

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Correct Question:

In interval estimation, as the sample size becomes larger, the interval estimate

a). remains the same, because the mean is not changing.

b). gets closer to 1.96.

c). becomes narrower.

d). becomes wider.

what is the equation of the line on the graph?

Answers

Answer:y=2x+-1

Step-by-step explanation:

y= slopex + y-intercept, the y-intercept is at the point (0,-1) as the y-intercept is when the x coordinate is 0 and the y coordinate gets touched by the y axis, therefore 2x+-1

Veronica's birthday was coming up. Her mother bought six packages of cupcake mix. Each package could make 12 cupcakes. 24 people had planned to attend Veronica's party. How many cupcakes would be available for each guest?

Answers

Answer:

3 cupcakes per person

Step-by-step explanation:

first we need to find the total number of cupcakes so in order to do that we need to multiply the number of mixes and the number of cupcakes each mix would make so:

total number of cupcakes = 6 * 12 = 72

now we can divide it by the total number of people who attended the party  so:

72/24 = 3 cupcakes per person

A truck delivers 568 oranges to grocery stores each week. How many oranges will it deliver in 25 weeks?.

Answers

the truck driver will deliver 14,200 oranges
568x25=14,200

#10 i need help with my math

Answers

Answer: √6 -8√5

or 15.43905

Step-by-step explanation:

Find f (5)
quick can someone answer meee

Answers

Answer:

f (5) = 4

Step-by-step explanation:

First we need to find f(x)

To do this we can find the gradient of the line then plug it into the formula for an equation of a line.

using the points on the line, (3,0) (0,-6)

gradient, m :

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

[tex] \frac{0 - ( - 6)}{3 - 0} = \frac{6}{3} = 2[/tex]

therefore the gradient was found to be 2.

Equation of a line:

y - y1 = m( x - x1)

y - 0 = 2( x - 3)

y = 2x - 6

Therefore the function of the line was found to be:

f(x) = 2x -6

so to find f(5) we substitute 5 in the place of x:

f(5) = 2(5) - 6

f(5) = 10 - 6

f(5) = 4

-19 2/9 - 4 1/9 - (-3 4/9)

Answers

Answer:

= –179/9

or –19 ^8/9

Step-by-step explanation:

–19²/9 –4¹/9 –(–3⁴/9)

–(173/9) –37/9 + 31/9

=L.c.m = 9

–173–37+31/9

= –210+31/9

= –179/9

or –19 ^8/9

i hope i was able to helped

while watching a basketball game of lakers in a cafe near l.a. live, you observe someone who is clearly supporting lakers in the game. what is the probability that they were actually born within 30 miles of l.a. downtown ?

Answers

The probability that the people came for the match live were born within 30 miles be, 0.197

Given, while watching a basketball game of lakers in a cafe near L.A live, we observe someone who is clearly supporting lakers in the game.

we have to find the probability that the person we observed born within 30 miles of L.A downtown.

As, the area of L.A downtown is 15.13 km².

1.6 km = 1 mile

2.56 km² = 1 miles

15.13 km² = 5.91 miles

Probability that the person was born within 30 miles be,

P = favorable area / total area

P =5.91/30

P = 0.197

Hence, the probability that the people came for the match live were born within 30 miles be, 0.197

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Colleen took out a $48,000 student loan with a fixed interest rate to pay for college. Colleen did not make payments on her loan for a period of 7 years. After this time period interest had accrued, resulting in the loan balance increasing to $78,000. a. What is is the 7-year growth factor for the amount that Colleen owes on the loan? Preview b. What is the 7-year percent change for the amount that Colleen owes on the loan? % Preview c. What is is the 1-year growth factor for the amount that Colleen owes on the loan? Preview d. What is the 1-year percent change for the amount that Colleen owes on the loan? % Preview Submit

Answers

a)The 7-year growth factor for the amount on the loan is $4285.71.

b)  7-year percentage change for the amount is 6.25%.

c) 1-year growth factor for the amount $612.244.

d) 1-year percent change for the amount is 0.894%.

a)We know very well that growth factor is ratio of difference of principal amount and loan amount to the time taken, or

Growth factor=(Final loan amount-Initial loan amount)/Total time

=>Growth factor=(78,000-48,000)/7

=>Growth factor=30,000/7=$4285.71

b)To find the percentage change in amount, we need to use initial loan amount and the difference between two amounts, or

  percentage change=((78000-48000)/48000)×100

=>percentage change=[(30000)/48000)]×100

=>percentage change=300/48=6.25%

c)Now, we have already find the growth factor for 7 years, we need to find growth rate in 1 year. So, we use unitary method to find it

=>In 7 years growth factor is=$4285.71

   ∴In 1 years growth factor is=$4285.71/7=$612.244

d)In 7 years percentage change for the given amount is =6.25%

∴In 1 year percentage change for the given amount=6.25/7=0.894%

Hence, answers are a)$4285.71 b)6.25% c)$612.244 d)0.894%

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all problems concern the following wheel, which we shall call q. 1 4 16 64 (a) estimate the probabilities of the outcomes of q. (b) estimate the expected value of q. (c)

Answers

Probabilities of Q are 1,4, 16, 64 are 312 2 8181818 , E(Q)=20.88 and 12.5% information revealed. Wheel is spin twice 0.2815.

When we are not sure about the outcome we can make possible probabilities about the situation. Therefore, it is the maximum and possible chances of something to be happen.

Step 1

Angle of one complete spin = 360°

Q=16=90° Q=6490"

Q=4-450

Q=1=135°

Here

P(Q16) = P(Q= 64)

=90/36

=1/4

Step 2

Expected value E(Q) = xP(x) E(Q) = 1x+4x+16x+64 x2/8

Step 3

c)

We learn Q=4

P(Q=4)=1/8=0.125

12.5 %  information is revealed.

Please refer to solution in this step.

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a dog of this breed weighs 48 pounds. what is the dog's z-score? round your answer to the nearest hundredth as needed. z

Answers

If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg according to given standard deviation.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = x- υ/σ

Given that μ = 55, σ = 6;

For x = 49:

z = 49 - 55/6

z = -1

If the dog has a z-score of -1.09, his weight is:

-1.09 = x -55/6

x - 55 = -6.54

x = 48.46

If the dog has a z-score of 1.09, his weight is:

1.09 = x - 55/6

x -55 = 6.54

x = 61.54

Hence ,If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg

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Hugo is going on vacation and taking his dog Pickles along. Pickles eats 4 cups of Hungry Hound dog food each day. Hugo wants to know how many days he can feed Pickles from a 24-cup bag of Hungry Hound. Which equation can Hugo use to find the number of days d he can feed Pickles from the bag.

Answers

The equation that Hugo can use to find the number of days d he can feed Pickles from the bag is 4d = 24.

Which equation can Hugo use to find the number of days?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this situation, Hugo is going on vacation and taking his dog Pickles along. Pickles eats 4 cups of Hungry Hound dog food each day. Hugo wants to know how many days he can feed Pickles from a 24-cup bag of Hungry Hound.

Therefore, the equation to illustrate this will be:

(4 × d) = 24

4d = 24

d = number of days

d = 24/4

d = 6

The number of days is 6.

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PLS HELP WILL MARK BRAINIEST!!!

Joan has a collection of quarters and nickels worth $2.50. There are 14 more nickels than quarters. How many coins of each type does Joan have?

Answers

Answer: 20 nickels and 6 quarters.

Step-by-step explanation:

           Let q be equal to quarters and n be equal to nickels. We will write a system of equations to help us solve.

      First, we know each quarter is $0.25 and each nickel is $0.05.

0.25q + 0.05n = 2.5

      Next, we know there are 14 more nickels than quarters.

n = q + 14

      We will plug the second equation into the first and solve.

0.25q + 0.05n = 2.5

0.25q + 0.05(q + 14) = 2.5

0.25q + 0.05q + 0.7 = 2.5

0.3q = 1.8

q = 6

      Joan has 6 quarters. We know he has 14 more nickels than quarters, so we will use addition.

6 + 14 = 20 nickels

a researcher developing a regression equation to predict income (y) in thousands of dollars from age (x1) and educational status (x2) found a significant interaction between age and educational status (x3). educational status is a dummy variable with 0

Answers

A substantial interaction between age and educational status was discovered by a researcher who was creating a regression equation to predict income (y) in thousands of dollars from age (x1) and educational status (x2) (x3)

A dummy variable, educational status has the values 0 for no college degree and 1 for a college degree.

The regression formula is y = 0 + 1x1 + 2x2 + 3x1x2 where 0 is the intercept, 1 is the age regression coefficient, 2 is the educational status regression coefficient, and 3 is the regression coefficient for the interaction between age and educational status.

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How many baseballs are in the next picture in this pattern?
A. 64
B. 30
C. 32
D. 24
E. 25

Answers

The answer is 32 because it’s being doubled so 16 times 2 is 32.

how many integers must a set s contain to be certain that at least 35 integers in s have the same remainder when divided by 4?

Answers

Set S should contain 137 number of integers so that at least 35 integers in S have same remainder when divided by 4.

What is pigeonhole principle?

According to the pigeonhole principle in mathematics, at least one container must hold more than one item if n things are placed into m containers, where n > m. As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

Equating pigeonhole principle :

Given: Set S = {}, least number of integers having same remainder when divided by 4=35

To find: Number of integers  in set S so that at least 35 of the integers in set S have same remainder?

As we know, any number when divided by 4 has following remainder = 0, 1, 2, 3.

Least number of integers having same remainder when divided by 4 = 35.

∴ Number of integers in set S = 35×4

                                                =  140

but 3 is to be subtracted from 140 as it is the last different remainder after which the remainders repeat in manner 0, 1, 2 & 3.

∴ Total number of integers in set S = 140-3  

                                            = 137                                                

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if a flock of 45 turkeys shows a constant growth rate of 2.3%, how many turkeys will be in the population after 10 years? show your work. how long would it take the flock of turkeys in the above problem to double in population?

Answers

By using the concept of growth, it can be calculated that

Number of turkeys after 10 years  = 57

It took 10 years for the number of turkeys to double

What is growth?

Growth is the increase in the value of an asset or cost or population at a certain rate over a certain period of time.

Original number of turkeys = 45

Rate of growth = 2.3 %

Time  = 10 years

Number of turkeys after 10 years = [tex]45 \times (1 + \frac{2.3}{100})^{10}[/tex]

                                                       = 57

Now,

New number of turkeys = 45 [tex]\times[/tex]2 = 90

[tex]90 = 45 \times (1 + \frac{2.3}{100})^n[/tex]

[tex](1 + \frac{2.3}{100})^n = \frac{90}{45}\\\\1.023^n = 2\\n\ ln (1.023) = ln( 2)\\n \times 0.023 = 0.693\\n = \frac{0.693}{0.023}\\n = 30.1 \ years[/tex]

It took 10 years for the number of turkeys to double

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which needs to occur on a consistent basis and at regular intervals to determine whether execuatin of goals

Answers

Exercise needs to be consistent and done at regular times. The body can adjust more effectively and swiftly when there is consistency. Exercise should ideally be performed 3-5 times per week.

What is Exercise ?

Exercise is any physical activity done to increase one's physical or mental fitness.

Exercise and physical activity not only aid to enhance physical health but also help to promote mental health.

A healthy mind follows from a healthy body.

By lowering body weight, frequent physical activity lowers the risk of developing serious conditions like heart attack, cardiovascular disease, diabetes, and high blood pressure. Regular exercise revitalizes the body and the mind.

Additionally, it raises energy levels, mood, and sleep quality.

Hence, Exercise must be performed consistently and at regular intervals. When there is consistency, the body can adjust more quickly and efficiently. The ideal number of times to exercise per week is three to five.

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Brainlist + 100 points if correct and well explained:
Graph the line 2x − 3y = 12.

a: The graph shows a line through the points 0 comma 4 and 6 comma 0.
b: The graph shows a line through the points 0 comma negative 4 and 6 comma 0.
c: The graph shows a line through the points 0 comma 4 and negative 6 comma 0.
d: The graph shows a line through the points 0 comma negative 4 and negative 6 comma 0.

Answers

Pretty sure it's C!!! :))))))))))))

a runner competed in a 5 mile run. how many yards did she run (1 mile =1760 yards)

Answers

Answer:8,800

Step-by-step explanation:

1760 times 5 = 8,800

Estimate the solution to the system of equations. You can use the interactive graph below to find the solution. \begin{cases} y=-2x-5 \\\\ y=2x-2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ y=−2x−5 y=2x−2 ​

Answers

The solution to the system of equation (x, y) is -3/4 and -7/2

System of Linear Equations

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

The equations given are

y = -2x - 5 ...eq(i)

y = 2x - 2 ..eq(ii)

Solving this equation,

x = -3/4, y = -7/2

Using a graph to solve this problem, the point of intersection (x, y) is the solution to the equation.

Kindly find attached graph below

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does anyone know?? please help ​

Answers

Check the picture below.

Does someone know this ?

Answers

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=8\pi \\ r=2 \end{cases}\implies 8\pi =\cfrac{\pi (2)^2 h}{3}\implies 8\pi =\cfrac{4h\pi }{3} \\\\\\ 24\pi =4h\pi \implies \cfrac{24\pi }{4\pi }=h\implies 6=h[/tex]

find the equation of the line that contains the point (1,-1) and is perpendicular to the line x=4 write the line in slope intercept form

Answers

If you take 4=x you can divide it by negative two and find it

Let A be the set of all statement forms in the three variables p, q, and r, and let R be the relation defined on A as follows.For all S and T in A, S R T ⇔ S and T have the same truth table.Prove that R is an equivalence relation. Show that it satisfies all the properties you selected in part (a), and submit your proof as a free response.

Answers

We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

Given that,

Let R be the relation defined on A as follows, and let A be the set of all statement forms in the three variables p, q, and r. S R T⇔ S and T have the same truth table for all S and T in A. substantiate the equivalence of R.

We have to demonstrate that it satisfies each of the properties you choose.

We know that,

By reflexive property,

S ≅ S  means that S has the same truth table as S.

T≅ T denotes that T and T have the same truth table.

By symmetric property,

S ≅T denotes that S and T share the same truth table.

At that time, T and S share the same truth table.

So, T ≅ S

By transitive property,

S≅T and T≅V and V≅W

S shares a truth table with S. Truth table between T and T W's truth table is the same for V and V.

S, T, V, and W all have the same truth table as a result.

S specifically has the same truth table as W.

Then S≅T≅V≅W ---> S≅W

Therefore, We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

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a random sample of size 81 is taken from an infinite population with a mean of 50 and a standard deviation of 9. find an approximate probability that the sample mean is within 48 and 51 (round off to second decimal place).

Answers

The approximate probability that the sample mean is within 48 and 51 is 0.82.

How to calculate probability?

n = sample size = 81

σ = standard deviation = 9

μ = population mean = 50

Probability is a chance of something event can occur, for this case the probability measure of the chance of sample mean is between 48 and 51 can occur. So, the probability of the sample mean is between 48 and 51 is,

P(48 ≤ x ≤ 51) = P([tex]\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex] ≤ z ≤ [tex]\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex])

= P([tex]\frac{48-50}{\frac{9}{\sqrt{81}}}[/tex]≤ z ≤ [tex]\frac{51-50}{\frac{9}{\sqrt{81}}}[/tex])

= P(-2 ≤ z ≤ 1)

= P(z ≤ 1) - P(z ≤ -2)

using z table and we get,

= 0.8413 - 0.0228

= 0.8185

= 0.82

Thus, the probability is 0.82 for the sample mean is within 48 and 51.

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which activity might a brand manager track if the desired result is to increase awareness with the customer? cpco which one of the following federal regulations is not pertinent to billing companies? a. safe harbor rules b. patient protection and affordable care act c. health insurance portability and accountability act d. false claims act the combined perimeter of a circle and square is 16 cm. find the dimensions of the circle and square that produce a minimum total area. Which of the following is an assumption underlying an upward-sloping short-run aggregate supply curve?answer choicesO The economy is experiencing high inflation.O The economy is at full employment.O National income is fixed.O Wages are sticky.O The velocity of money is constant. if the distance between two charges is doubled, what will happen to the force between the charges? (4 points) to answer this question, perform the calculation first with a r value of 1 and then a second calculation with a r value of 2. an aluminum rod with a initial length of 15 m and a diameter of 37 mm is subjected to an axial tensile load of 65 kn. calculate its elongation (mm). 0.2390.02390.0023923.9 Choose the correct cycle of addiction.A.drug use, dependence, tolerance, withdrawal, addictionB.drug use, tolerance, dependence, addiction, withdrawalC.drug use, addiction, dependence, tolerance, withdrawalD.drug use, withdrawal, tolerance, addiction, dependencePlease select the best answer from the choices providedABCD What are the four classes of large organic molecules important to life on earth?. is there any connection between the danger katagiri faces in his daily life and the danger that lurks beneath tokyo? super frog saves toyko You measure 48 turtles' weights, and find they have a mean weight of 34 ounces. Assume the population standard deviation is 4.4 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight. which legally required form divulges information about financial advisors? a. form dav b. form avd c. form adv d. form dva please select the best answer from the choices provided The ratio of cats to dogs in an animalshelter is 2: 5, and there are 10 cats.A group of animals arrive at the shelter andthe ratio of cats to dogs becomes 5 : 3.Work out the smallest number of newanimals that could have arrived at theshelter. which statement describes stage 4 of kohlberg's theory the child recognizes that there is more than one right view A man walks toward Carrefour beginning at his home. It takes him 2 hours to cover the 7 kilometers. He spends 1 hour in the store. He then walks 2 km in 1 hour in the same direction to drop the toys off to his niece.a) What is the man's average speed for the whole journey?b) What is the man's average velocity for the whole journey? a client with diabetes punctured the foot with a sharp object. within a week, the client developed osteomyelitis of the foot. the client was admitted for iv antibiotic therapy. how long does the nurse anticipate the client will receive iv antibiotics? a client is admitted with a cervical spine injury sustained during a diving accident. when planning this client's care, the nurse should assign highest priority to which nursing diagnosis? On whose teaching were Jainism and Sikhism based? the reason(s) behind doctors getting paid much higher than janitors is/are . group of answer choices because they are culturally valued more for their training because they rationally contribute more to society arbitrary both a and c a committee of 3 is selected from jillian, miles, mark, and nikia. how many committees contain 2 boys and 1 girl WBC's can be significantly elevated when a child is crying hard.