An investor bought 3 shares of stock A and 2 shares of stock B for a total of
$41. Stock A costs $2.00 more per share than stock B. What is the cost of a
share of stock A in dollars?

Answers

Answer 1

Step-by-step explanation:

3a+2b=41

(3a+$2)+2b=41

3(7+2)=41-2(7)

3×9=41-14

27=27

a=9

b=7


Related Questions

In 2011 Clayton Kershaw earned $500,000 pitching for the LA Dodgers. In 2019, his salary was $31,000,000. Answer the three parts below. Clearly show all work and reasoning.
A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?
B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.
C) Did he earn more per game in 2019 than he did for the entire 2011 season?

Answers

Answer:

A. $15,625 per game

B. $1,107,142.86 per game

C. he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Step-by-step explanation:

His salary in 2011 = $500,000

His salary in 2019 = $31,000,000

A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?

Kershaw's salary per game = Total salary / Total number of games

= $500,000 / 32 games

= $15,625 per game

B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.

Kershaw's salary per game = Total salary / Total number of games

= $31,000,000 / 28 games

= $1,107,142.8571428

To the nearest cents

= $1,107,142.86 per game

C) Did he earn more per game in 2019 than he did for the entire 2011 season?

$1,107,142.86 per game - $500,000

= $607,142.86

Yes, he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Answer:

A. $15,625 - game

B. $1,107,142.86 - game

C. Kersh earned $607,142.86 more per game in 2019 than he did for the entire 2011 season ($500k)

A hospital tracked the day of the week each baby was born and whether or not the delivery was scheduled in advance. The following two-way table displays data for the sample of babies born in a particular year at that hospital. Day of birth Scheduled Unscheduled TOTAL
Sunday 999 313131 404040
Monday 191919 666666 858585
Tuesday 202020 707070 909090
Wednesday 171717 616161 787878
Thursday 191919 686868 878787
Friday 151515 555555 707070
Saturday 111111 393939 505050
TOTAL 110110110 390390390 500500500
Find the probability that a randomly selected baby from this sample was born on Tuesday OR on Friday

Answers

There is a very small chance (less than 1%) that a randomly selected baby from this sample was born on Tuesday OR on Friday.

To find the probability that a randomly selected baby from this sample was born on Tuesday OR on Friday, we need to add the number of babies born on Tuesday to the number of babies born on Friday, and then divide by the total number of babies in the sample.

The number of babies born on Tuesday is 202020, and the number of babies born on Friday is 151515. Therefore, the total number of babies born on Tuesday or on Friday is 202020 + 151515 = 353535.

The total number of babies in the sample is 500500500. Therefore, the probability that a randomly selected baby from this sample was born on Tuesday OR on Friday is:

353535 / 500500500 = 0.0007061

It is interesting to note that the number of babies born on different days of the week varies in this sample. For example, there are more babies born on weekdays (Monday-Friday) than on weekends (Saturday and Sunday), and there are more babies born on Tuesday than on Wednesday or Thursday.

The number of scheduled deliveries is higher than the number of unscheduled deliveries overall, but there are some days (e.g., Friday and Saturday) where there are more unscheduled deliveries than scheduled deliveries. These patterns could be explored further to understand the factors that influence the timing and scheduling of deliveries.

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Need help pls help me

Need help pls help me

Answers

It is 113 Bc you take 180-67

Answer:

See below, please!

Step-by-step explanation:

We know that 6z-31+something is going to be equal to 180 degrees, because it is supplementary. But what is that something? We see 67 degrees. Do you think this is a corresponding angle to the something that we need to find? Yes, it is! So we know that 6z-31+67 is equal to 180. So, z is 24. Now, since we know the value of the something (67 degrees because of corresponding angles) we can find yet another pair of supplementary angles. 67+x=180! Kind of neat, huh? So, x is equal to 113.

Hope this helped!

HELP ME ASAP PLEASE!!!!!!!!!1

HELP ME ASAP PLEASE!!!!!!!!!1

Answers

The answer to the question is 12

trynna make 20 points? answer this

trynna make 20 points? answer this

Answers

Answer:

The answer X = 22

X=22

Step 1: multiply both sides by 4

(.4x-2.8/4)•(4) = (1.5)(4)

.4x-2.8=6

Step 2: add 2.8 to both sides

.4x -2.8+2.8=6+2.8

.4x=8.8

Step 3: divide both sides by .4

.4x/.4=8.8/.4

X=22

Aaron set the bottom of a ladder on the ground 10 feet from the house and it reached just to the bottom of the window he was about to clean. The bottom of the window is 38 feet off the ground. What is the angle between the ladder and the ground?

Answers

Answer:

36

Step-by-step explanation:

A^2+B^2=C^2

10^2+B^2=38^2

We are solving for B squared

So 100+B^2=1444

                      -100

1344 and now take the square root of that number and you have your answer of 36

I hope this helps and have a good night!

NEED THE ANSWER NOWWW!!!!!!!!!!!!!!!!!!!!!

NEED THE ANSWER NOWWW!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i think the answer would be y=4

Step-by-step explanation:

Answer:

ponte las pilas niño

Step-by-step explanation:

The midpoint of QR is M(2, −5). One
endpoint is R(8, -1). Find the
coordinates of the other endpoint Q.
Write the coordinates as decimals or
integers.
Q=

Answers

Answer:

Q= ( -4 -9)

Step-by-step explanation:

Using the midpoint formula

X1 + X2 Y1 + Y1

----------, ---------

2. 2

The midpoint QR = (2, -5) and R = (-8, 1) Q =>(x, y)

= x + 8. y - 1

------------ = 2 and -------- = -5

2 2

=> (4 = x + 8) and( -10= y-1)

=> 4 -8 = x and -10+1= y

Q(x, y) = (-4, -9)

what is the difference of - 3 - ( - 10)

Answers

Answer
(-3) - (-10) = 7

|7| = 7

7

every rational number is a
a. whole number b. natural number c. integer d. real number

Answers

Greetings from Brasil...

a - whole number

FALSE

3/5, for example isnt a whole number

b. natural number

FALSE

0,457888..., for example isnt a natural number

c. integer

FALSE - like a

d. real number

TRUE

The set of real numbers contains the set of rational numbers

ℝ ⊃ ℚ

every rational number is aa. whole number b. natural number c. integer d. real number

A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?
a.1.11%
b.10.56%
c.86.65%
d.100%

Answers

The probability that a CD will last less than 3 years is approximately 86.65%.

What is the likelihood of a CD lasting less than 3 years?

The probability can be determined using the standard normal distribution. Given that the CD's lifespan follows a normal distribution with a mean of 4 years and a standard deviation of 0.8 years, we need to find the z-score for 3 years. The z-score formula is calculated as (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For 3 years, the z-score is (3 - 4) / 0.8 = -1.25. Using a standard normal distribution table or a calculator, we can find that the probability corresponding to a z-score of -1.25 is approximately 0.1056 or 10.56%.

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Joe and Sue were trying to calculate the square inches of paper needed to create a cone for the cotton candy. The radius
was 2 in and the height was 6 inches and there was a 1/2 in of overlap for the glue.
Calculations
Joe
2π√10+ √10
Sue
12π + 3

choose the correct statements below.

select one or more:

Sue was correct.
Joe was correct.
Sue used the correct height and radius and calculated the overlap by adding the area for the strip of glue.
Neither were correct.
Joe used the height and radius to calculate the slant height.

Answers

The correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

How to find the square inches of paper needed.

The square inches of paper needed A = surface area of cone +  area of overlap

Surface area of cone

The surface area of the cone is given by A = πr[r + √(h² + r²)] where

r = radius of cone = 2 in and h = height of cone = 6 in.

So, A = πr[r + √(h² + r²)]

A = π × 2 × [2 + √(6² + 2²)]

A = π × 2 × [2 + √(36 + 4)]

A = π × 2 × [2 + √40]

A = π × 2 × [2 + 2√10]

A = 2π[2 + 2√10]

A = 4π + 4π√10

The area of overlap

The area of overlap A' = wL where

w = width of overlap = 1/2 in and L = slant height of cone = √(h² + r²)

So, A' = wL

A' = w[√(h² + r²)]

A' =  1/2[√(6² + 2²)]

A' =  1/2[√(36 + 4)]

A' =  1/2[√40]

A' =  1/2 × 2√10

A' = √10

So, the number of square inches of paper needed is A" = A + A'

=  4π + 8π√10 + √10

Since the number of square inches of paper needed is 4π + 4π√10 + √10

So, the correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

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What is the distance between (7, 1) and (4, -5)?

Answers

The distance between those to points is d=6.708204 or d=6

9514 1404 393

Answer:

  3√5 ≈ 6.708

Step-by-step explanation:

The distance between points is given by the distance formula:

  \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(4-7)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}\\\\d=\sqrt{9+36}=\sqrt{9\cdot5}\\\\\boxed{d=3\sqrt{5}\approx 6.708}\)

the cookies in a jar contain a total of 1000 chocolate chips. all but one of these cookies contains the same number of chips; it contains one more chip than the others. the number of cookies in the jar is between one dozen and three dozen. what is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip?

Answers

The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).


To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:

1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.

2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).

3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.

4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).

Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.

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f(x)=log5x what Is the range of the function

Answers

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

for all existing customer, product, quarter and year combinations, compute the average sales quantities for: the year before the current/given year the year after for example, the first row of the following sample output is showing the avg sales quantity for ('dan', 'egg', quarter 1) for 2006, 2007 and 2008.

Answers

The average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations, have been computed.

To calculate the average sales quantities for the year before and after the given year, we need the following information: customer names, product names, quarters (1-4), and years. Let's assume we have a dataset containing this information.

1. Year before: To calculate the average sales quantity for the year before the given year, we subtract 1 from the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

2. Year after: Similarly, to calculate the average sales quantity for the year after the given year, we add 1 to the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

By following the above steps, we have computed the average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations. This information can provide valuable insights into sales trends and help businesses make informed decisions regarding inventory management, customer targeting, and forecasting.

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If a car is moving on a straight line with a velocity of 40 m/s and it changes its velocity to 60 m/s in 4 seconds, calculate its acceleration.

Answers

Answer:

5m/s²

Step-by-step explanation:

Given :-

Initial Velocity = 40m/s Final velocity = 60 m/sTime = 4s

To Find :-

The acceleration .

Solution :-

We know that the rate of change of velocity is called acceleration. Therefore ,

\(\sf\implies a = v - u / t \\ \)

\(\sf\implies a = 60m/s - 40m/s/ 4 \\ \)

\(\sf\implies a = 20m/s \div 4 \\\)

\(\bf\implies a = 5m/s^2\)

180° rotation
Pre rotation points

Answers

Answer:

whats the question???????????

Write an equation in slope-intercept form for the line that is parallel to y=x−6 and that passes through the point (−5,−6).

Answers

Answer:

Equation: y = x - 1

a slope of 1, and a y-intercept of -1

Step-by-step explanation:

Given: y = x - 6

Slope-Intercept Form: y = mx + b -

where:

m is the slopeb is the y-intercept (when x = 0)

Note: parallel lines have the same slope

1. Determine the slope and y-intercept of the given equation:

⇒ y = x - 6 has a slope of 1, and a y-intercept of -6

2. Find the equation of the line parallel line that passes through the point (-5,-6):

⇒ y = x + b [substitute -5 for x and -6 for y]

⇒ -6 = -5 + b [add 5 to both sides]

⇒ -6 + 5 = -5 + 5 + b

⇒ -1 = b

Equation: y = x - 1

3. Check your answer using point (-5, -6):

⇒ y = x - 1

⇒ -6 = -5 - 1

⇒ -6 = -6 ✔

This statement is correct

Therefore, the equation of the line is y = x - 1

For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.

1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?

Answers

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Factorise a² + 3a - 28

Answers

Answer:

(a+7)(a-3)

Step-by-step explanation:

Find the factors of 28 that would also add up to 3

28

1 x 28

2 x 14

7 x 4

7-4=3

(a+7)(a-3)

given 8 women and 4 men, in how many ways can a three-member committee be selected when there should be exactly 2 woman in the committee?

Answers

To form a committee with 2 women and 1 man, we can use the combination formula to get 28 ways to select 2 women out of 8 and 4 ways to select 1 man out of 4. Multiplying these results, we get a total of 112 ways to form a three-member committee with exactly 2 women and 1 man.

To select a three-member committee with exactly 2 women, we can first choose 2 women out of 8 in (8 choose 2) ways. Then we need to choose 1 more member, which can be either a man or a woman. If we choose a man, we have 4 options. If we choose a woman, we have 6 options (since we have already chosen 2 out of 8 women). Therefore, the total number of ways to form the committee is:

(8 choose 2) * (4 + 6) = 28 * 10 = 280

So there are 280 ways to select a three-member committee with exactly 2 women.
To form a committee with exactly 2 women and 1 man, you can use the combination formula: C(n, r) = n! / (r!(n-r)!), where n is the total number of choices and r is the number of choices to be made.

For selecting 2 women out of 8: C(8, 2) = 8! / (2!(8-2)!) = 28 ways
For selecting 1 man out of 4: C(4, 1) = 4! / (1!(4-1)!) = 4 ways

Now, multiply the results to find the total number of ways to form the committee: 28 ways (for women) * 4 ways (for men) = 112 ways.

Therefore, there are 112 ways to form a three-member committee with exactly 2 women and 1 man.

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Simplify the square root of (x^2 -6x+ 9) if x<3

Answers

If x < 3, then the square root of  (x^2 - 6x + 9) can be simplified to (3-x).

First we factorise the quadratic expression:

x^2 - 6x + 9 = (x - 3)^2 ..(i)

(Since the expression is a perfect square trinomial, it can be factored as the square of a binomial.)

Then we will simplify the square root:

√(x^2 - 6x + 9) = √((x - 3)^2).

Now, since x - 3 is squared, taking the square root will eliminate the square, resulting in the absolute value of x - 3.

Final simplified form: √((x - 3)^2) = |x - 3|.

Therefore, the simplified square root expression is |x - 3| when x < 3 which equals to 3-x.

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Lacy picks blueberries and raspberries from her garden. She has 1/5 as many pounds of blueberries as raspberries. If she picks 1 4/5 pounds more blueberries, she will have an equal weight of berries. let x represent the weight of raspberries. Which equations could be used to find the weight of the blueberries Lacey has?
Chose all correct answers.
A. \(\frac{1}{5} x-1\frac{1}{5}=x\)
B. \(x-1\frac{4}{5} =\frac{1}{5}x\)
C. \(\frac{1}{5}x=x-1\frac{4}{5}\)
D. \(x+1\frac{4}{5}=\frac{1}{5}x-1\frac{4}{5}\)
E. \(\frac{1}{5}x+1\frac{4}{5}=x\)
F. \(x=1\frac{4}{5}(\frac{1}{5}+x)\)

Answers

The equations that could be used to find the weight of the blueberries Lacey has are given as follows:

B. x - 1 and 4/5 = x/5.

C. x/5 = x - 1 and 4/5.

E. x/5 + 1 and 4/5 = x.

How to obtain the equations?

The variable that represents the weight of the raspberries is given as follows:

x.

The variable that represents the weight of the blueberries is given as follows:

b.

She has 1/5 as many pounds of blueberries as raspberries, hence:

b = x/5.

If she picks 1 4/5 pounds more blueberries, she will have an equal weight of berries, hence:

b + 1 and 4/5 = x.

x/5 + 1 and 4/5 = x.

Thus the correct options are given as follows:

Option B, as x - 1 and 4/5 = x/5.Option C, as x/5 = x - 1 and 4/5.Option E, as x/5 + 1 and 4/5 = x.

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the hypothesis statement h: µ = 25 is an example of a(an) ________ hypothesis.

Answers

Hypothesis testing is an important statistical tool that helps us make informed decisions based on data and evidence.

The hypothesis statement h: µ = 25 is an example of a null hypothesis. A null hypothesis is a statement that suggests there is no significant difference between two variables or that any difference is due to chance. It is often denoted as H0 and is used to compare against an alternative hypothesis, which suggests that there is a significant difference between two variables. In this case, the null hypothesis is that the population mean µ is equal to 25, and there is no significant difference between the sample mean and the population mean. If the null hypothesis is rejected, it means that there is enough evidence to suggest that the alternative hypothesis is true. However, if the null hypothesis cannot be rejected, it does not necessarily mean that it is true. It only suggests that there is not enough evidence to support the alternative hypothesis.

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Suppose that f(x)=x^2 and g(x)=-2/3 x^2 which statement best compares the graph of g)x) with the graph of f(x)?

Suppose that f(x)=x^2 and g(x)=-2/3 x^2 which statement best compares the graph of g)x) with the graph

Answers

The graph of g(x) is the graph of f(x) stretched vertically and reflected over the axis.

The correct option is C.

We can compare the graphs of two functions f(x)=x² and g(x)=-2/3 x² by determining their vertices, domain, range, axis of symmetry, and shape of the graphs. The vertex of f(x)=x² is at the origin (0,0), which means that the parabola opens upward and is symmetrical around the y-axis.

The domain is all real numbers, and the range is y≥0. The axis of symmetry is the y-axis. On the other hand, the vertex of g(x)=-2/3 x² is also at the origin, and it opens downward. It is also symmetrical around the y-axis. The domain is all real numbers, and the range is y≤0.

The axis of symmetry is the y-axis, just like f(x).It is important to remember that g(x) is the negative of f(x), which indicates that g(x) is reflected across the x-axis. Furthermore, the stretch factor is 2/3, which makes the graph of g(x) flatter than the graph of f(x) and it is  stretched vertically and reflects over x axis(option c).

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HELP PLEASE ILL MARK BRAINLIST HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

HELP PLEASE ILL MARK BRAINLIST HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1.  RTS

2. RTS

3. 85, 180

4. 19

Step-by-step explanation:

1. The vertical angles are equal to each other.

2. The sum of the interior angle in a triangle is always 180 degrees.

HELP PLEASE ILL MARK BRAINLIST HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the value below when c=5 and d=4?

6c2 – 5d + 8

Answers

Answer:

48

Step-by-step explanation:

(6×5×2)-(5×4)+8

=60-20+8

=48

A hospital has a total of 99 nurses and doctors.
The ratio of nurses to doctors is 8:3. How many of each are there?

Answers

Step-by-step explanation:

The ratio of nurses to doctors is 8:3

the sum of the ratio = 8+3 = 11

so,

numbers of nurses = 8/11 × 99 = 72

numbers of doctors = 3/11 ×99 = 27

Graph the linear function y = -3x + 1.

Answers

The defining feature of the graph of y = -3x + 1 are that the line has a slope of -3 and a y-intercept of 1. The graph is given below

Graph the linear function y = -3x + 1.
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