A small town has two local high schools. High School A currently has 750 students

and is projected to grow by 75 students each year. High School B currently has 900

students and is projected to grow by 25 students each year. Let A represent the

number of students in High School A in t years, and let B represent the number of

students in High School B after t years. Write an equation for each situation, in terms

of t, and determine how many students would be in each high school in the year they

are projected to have the same number of students.

Ok

Answers

Answer 1

Answer:

A=750 +75*t

B=900 +25*t

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Step-by-step explanation:

You know that High School A currently has 750 students  and is projected to grow by 75 students each year.   With A being the number of students in High School A in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

A=750 +75*t

You know that High School B currently has 900 students  and is projected to grow by 25 students each year.   With B being the number of students in High School B in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

B=900 +25*t

You want to determine how many students there would be in each high school in the year that they are projected to have the same number of students. That is, in year t the number of students is the same, so

A = B

750 +75*t=900 + 25*t

Solving:

75*t -25*t= 900 - 750

50*t= 150

[tex]t=\frac{150}{50}[/tex]

t=3

This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:

A=750 +75*t= 750 +75*3= 975

B=900 + 25*t=900 + 25*3= 975

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Answer 2

Answer: REAL ANSWER

A= 75t +750

B=25t +900

Answer: 975 students


Related Questions

Write the equation of the line:
(0,3); slope -2

Answers

Answer:

y=-2x+3

Step-by-step explanation:

the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b

Pls mark as brainliest thank u.

A large bag of cashews weighs 9 1/4 pounds. One serving is 1/5 pound. How many servings are in the bag.

Answers

Answer as a mixed number = 46 & 1/4

Answer as a decimal = 46.25

===============================================

Work Shown:

9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25

1/5 = 0.2

A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.

Let x be the number of servings

1 serving = 0.2 pounds

x servings = 0.2x pounds after multiplying both sides by x

0.2x pounds represents the total bag's weight so,

0.2x = 9.25

x = 9.25/0.2

x = 46.25 answer in decimal form

x = 46 + 0.25

x = 46 + 1/4

x = 46 & 1/4  answer in mixed number form

This means we have 46 full servings plus an additional 1/4 of a serving.

Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare

Answers

Answer:

elsa's interval width will be greater than that of frank

Step-by-step explanation:

first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.

now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.

from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.

The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain












At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?

Show your work in the box below.








Answer _____________ price per gram of gold

Answers

Answer:

THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL

Step-by-step explanation:

Please help. I will mark brainliest.​

Answers

Thanks for doing nothing

Answer:

andrew gets 15 dollars a hour

and andr

6. (02.01 MC)

The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from

patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the

Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to

the truth about the entire population? Explain. (6 points) (10 points)

Answers

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.

What is 837 divided by 27

Answers

Answer: 31

Step-by-step explanation: long division

837/27 equals 31, you can solve this by long division or using a calculator lol

According to the Fiji Diabetes Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017. A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes. Using a 5% significance level, perform a test of hypothesis to determine if the current percentage of Fijians aged 60 years or older who have diabetes is higher than that in 2017. Use the P-value method

Answers

Answer:

The point estimated is 0.260

Step-by-step explanation:

The computation is shown below:

Sample in which the people have diabetes = 52

Random sample = 200

Significance level = 5%

Based on this, the, estimation point is

= Sample in which the people have diabetes ÷ Random sample

= 52 ÷ 200

= 0.260

hence, the point estimated is 0.260

We simply applied the above formula

And, the same is to be considered

The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.

Given :

Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017.A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes.Use a 5% significance level.

Hypothesis are as follows:

Null hypothesis,  [tex]\rm H_0: p\leq 0.231[/tex]

Alternate hypothesis,  [tex]\rm H_a : p>0.231[/tex]

Now, performing the test of the hypothesis. The critical value z is given by:

[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex]    ----- (1)

Now, the value of [tex]\hat {p}[/tex] is given by:

[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]

Now, put the values of known terms in equation (1).

[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]

[tex]z = \dfrac{0.029}{0.0298}[/tex]

z = 0.973

Therefore, the null hypothesis is accepted.

For more information, refer to the link given below:

https://brainly.com/question/19613147

What is the absolute value of 5,234?

Answers

Answer:

Step-by-step explanation:

5.234

Pls answer fast Y=Mx+b for x

Answers

Answer:

y=mx+b

y=mx+b-b

y-b=mx

y-b/m = mx/m

y-b/m = x

Answer:

x = (y - b)/M.

Step-by-step explanation:

y = Mx + b

Mx = y - b

x = (y - b)/M.

Two containers of gasoline hold a total of 50 gallons. The big container can hold 10 gallons less than twice the small
container. How many gallons does each container hold?

Answers

Answer:

The big container holds 30 gallons and the small container holds 20 gallons

Step-by-step explanation:

Let

The big container = x

Small container = y

The big container can hold 10 gallons less than twice the small

x = 2y - 10

Total gasoline in both containers = 50 gallons

x + y = 50

Substitute x = 2y - 10 into the equation

2y - 10 + y = 50

3y = 50 + 10

3y = 60

Divide both sides by 3

y = 60 / 3

= 20

y = 20 gallons

Recall,

x + y = 50

x + 20 = 50

x = 50 - 20

= 30

x = 30 gallons

The big container holds 30 gallons and the small container holds 20 gallons

Answer:

The big container has 30 gallons and the small container has 20 gallons.

Step-by-step explanation:

Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?

To find the length of Bentley’s long run, you would use:

5 – 2.25

Question 1 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.

A dog-washing salon is filling up the tub to was a dog. When the employee got to the tub,
there were already 2 gallons of water in the tub. She will fill the tub at a rate of 3 gallons a
minute.

Answers

Answer:

If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.

The two rates would be 3:60 and 2:40 and so on 1:20

Step-by-step explanation:

Good luck! Hope this helps! <3

he cost of manufacturing a particular videotape is ​C(x)9000​9x, where x is the number of tapes produced. The average cost per​ tape, denoted by ​, is found by dividing by x. Find .

Answers

Answer:

The average cost per​ tape is 10.

Step-by-step explanation:

The cost of manufacturing a particular videotape is :

C(x) = 9000+9x

Where

x is the number of tapes produced.

We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]

[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]

So, the average cost per​ tape is 10.

if you subtract 19 from my number and multiply the difference by -2​, the result is -8

Answers

Answer:cool

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

let the number be 'a'

-2(a - 19)= -8

open the brackets

-2a + 38 = -8

collect like terms

38 + 8 = 2a

46 = 2a

a = 23

How many years will it take for Steven to make a total of $21,200?
(7 points)
12
8
6
10

Answers

the answer would be 10

What is the coefficient in the expression 10x+8

Answers

Answer:

In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.

Answer: 10 + 8

Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!

PLEASE HELP Please i don’t understand

Answers

Answer:

answer is 5

Step-by-step explanation:

f(5)= -5×5^2+26×5

= -125+130

= 5

Given the linear function f (x) = 4x - 2 identify the following;

Slope

Y intercept (let x = 0)

X intercept (let y = 0)

Is the function increasing or decreasing?

Answers

Answer:

slope: m = 4

y intercept:  (0, -2)

x intercept: (1/2,0) the 1/2 is one half

the function is increasing

g Problem 7. (10 points) A random sample of 100 Cooper County residents showed that 18 are college graduates and a second random sample of 50 Boone County residents showed that 28 are college graduates. Round your final answer to each part to three decimal places, but do not round during intermediate steps. The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is

Answers

Answer:

The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.

Step-by-step explanation:

Denote the events as follows:

C = Cooper County resident

B = Boone County resident

G = graduate

NG = non-graduate

The information provided is summarized as follows:

               G       NG     Total

     C       18       82       100

     B       28      22        50

Total       46      104      150

Compute the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents as follows:

[tex]\text{Relative Risk}=\frac{\text{Graduates in Boone County}}{\text{Graduates in Cooper County}}[/tex]

                      [tex]=\frac{28/50}{18/100}\\\\=\frac{28}{50}\times \frac{100}{18}\\\\=3.11111\\\\\approx 3.11[/tex]

Thus, the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.

The relative risk of remaining a college graduate for Boon County residents in comparison to Cooper County residents would be 0.500

Relative risk:

Relative risk is used in the statistical analysis of the data of ecological, cohort, medical, and intervention studies, to estimate the strength of the association between exposures (treatments or risk factors) and outcomes. Mathematically, it is the incidence rate of the outcome in the exposed group.

The relative risk is calculated by dividing the probability of an event for group 1 divided by the probability of an event occurring for group 2.

The probability of the Boone country resided is a college graduate,

By the formula of classical probability [tex]P(A)=\frac{m}{n}[/tex] then,

[tex]\frac{18}{100}=0.18[/tex]

The probability of cooper country resided is a college graduate is,[tex]\frac{18}{50}=0.36[/tex]

The relative risk is being a college graduate Boone country resided as compared to cooper country resident is,

[tex]\frac{0.18}{0.36} =0.500[/tex]

Learn more about the topic of Relative risk:

https://brainly.com/question/24352707

cual es el valor de 7 3/4 + 1 7/8 fraccionado

Answers

la respuesta de tu pregunta es: 15 5/8

what is the pattern 2 10 40 120

Answers

Answer:

2 plus 3

Step-by-step explanation:

Please help me find the missing measurements of this :)

Answers

Answer:

4mm

Step-by-step explanation:

The ratio of the two congruent shapes are 2.5:1

15 : 6 = 2.5 : 1

15/6 = 2.5

5 : 2 = 2.5 : 1

5/2 = 2.5

Therefore, 10 : x = 2.5 : 1

10/x = 2.5

x = 4

Answer: 15, 2, 6, and 5

Step-by-step explanation: they are equal to the measurements listed

HELP ASAP IT'S AN EMERGENCY​

Answers

AAS you have two angles and a side

PLEASE HELP
ILL GIVE BRAINLIEST

Answers

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

Need help got until 12:10

Answers

x = -1
I used combining like terms and properties as well as cancelling denominators. Ask me in the comments for any clarity!

​Researchers Wilt et al. (New England Journal of Medicine, 2012) investigated whether surgery, compared to just observation, was (more) effective in improving men’s survival chances after being diagnosed with prostate cancer. The researchers identified 731 men with localized prostate cancer who volunteered to participate. They randomly assigned 364 men to surgery and the remaining 367 to observation. All participants were followed for about 10 years. In those 10 years, 21 surgery recipients died of prostate cancer related reasons compared to 31 observation recipients.
1. Identify the observational units.
A. Men.
B. Men with prostate cancer.
C. Men with prostate cance.
D. Men with prostate cancer who received observation r who underwent surgery.
2. What type of study is this?
A. Experiment.
B. Observational study.
3. What is the primary purpose of random assignment in this type of study?
A. To ensure that subjects are representative of the popu lation of interest.
B. To ensure that the groups are of equal sizes.
C. To create treatment groups that are alike in all aspects zes except for the treatment administered.
D. To improve accuracy of results.
4. Identify the explanatory variable.
A. Whether or not man dies of prostate cancer related reasons.
B. Whether or not man undergoes surgery.
C. Percentage of men who die of prostate cancer related reasons.
D. The number o f men who undergo surgery and the number of men who are just observed.
5. Identify the response variable.

Answers

Answer:

(1) B

(2) A

(3) C

(4) B

Step-by-step explanation:

(1)

The observational units in this study are the men with prostate cancer.

(2)

As the study involves a treatment and a control group, it is an experimental study.

(3)

The primary purpose of random assignment in this type of study is to create treatment groups that are alike in all aspects except for the treatment administered.

(4)

The explanatory variable or the independent variable, is the variable that is altered to observe the changes in the dependent variable.

The explanatory variable in this case is whether or not man undergoes surgery.

(5)

The response variable or the dependent variable is the variable that is being observed for any changes for the given treatments.

The response variable in this case is whether or not man dies of prostate cancer related reasons.

1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?

Answers

Answer:

We reject H₀, we find that the  current level of mercury uptake in the Everglades has decrease

Step-by-step explanation:

We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)

Test Hypothesis:

Null hypothesis             H₀          μ   =  μ₀

Alternative hypothesis Hₐ          μ   <  μ₀

Sample size 25             then n < 30 we will use t-student table

Population mean : μ₀ = 15 ppm

sample mean :  μ  = 14,6 ppm

sample standard deviation:   s = 1 ppm

Sample size n :  25

degrees of freedom   df = n - 1         df = 24

We will develop the test for CI 90%  then  α = 10%      α = 0,1   α/2 = 0,05

For that values in t student table we find:

t(c) = 1,711    by symmetry t(c) = - 1,711

To compute ts

t(s) =  ( μ - μ₀ ) / s/√n

t(s) = 14,6 - 15 / 1 /√25

t(s) = - 0,4*5 / 1

t(s) = - 2

Comparing t(c)and t(s)

|t(s)| > |t(c) |      and t(s) < t(c)         -2 < -1,711

Therefore t(s) in in the rejection region, we reject H₀  

3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.

Answers

Answer:

If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.

If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:

(-3)^2-4*2*12

=9-96

=-87

Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.

Please help!!
x^2-2x+1-9y^2

Answers

Answer:

[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]

Step-by-step explanation:

[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]

A little algebra process later...

you got the answer

Hoped this helped ya

<3

Red

Answer:

(x-1-3y) x (x-1+3y)

Step-by-step explanation:

x^2-2x+1-9y^2

Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2

(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y)  should be the answer :)

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