A small town has two local high schools. High School A currently has 500 students and is projected to grow by 80 students each year. High School B currently has 700 students and is projected to grow by 30 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,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.

Answers

Answer 1

The equation that represent the number of students in High School A at time t is AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.

The number of students when both schools would have the same number of students is 820.

When would the school have the same number of students?

The equation that represent the number of students in High School A :

current number of students + (number of years x rate of increase)

AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is:

current number of students + (number of years x rate of increase)

BB = 700 + 30tt.

When the schools would have the same number of students, the two equations would be equal:

700 + 30tt = 500 + 80tt

700 - 500 = 80tt - 30tt

200 = 50tt

tt = 200 / 50

tt = 4

Population = 500 + (80 x 4)

500 + 320 = 820

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Related Questions

25 POINTS and Brainliest

Answers

Answer:$293.83

Step-by-step explanation:

Answer:

293.83$

Step-by-step explanation:

total withdrawals = 6*15.72=94.32$

the rest amount before depostit is 153-94.32=58.68$

the rest amount After depostit is 58.68+235.15=293.83$

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Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x


PLSSS SHOW YOUR WORK PLSSSS

Answers

Can Smart people Answer this plz.??????? I WILL GIVE BRAINLEST!!!!!!


Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x


PLSSS SHOW YOUR WORK PLSSSS

Find the missing quantity in the double number line.

Answers

This might help u
Gl

The missing quantity is 100 books in the double number line.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

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A 2-digit number is written on a paper. What is the probability that it starts with 2?

Answers

Answer:

1 out of 9

Step-by-step explanation:

Gabby spents $44.10 for 14 gallons of gas.what was the unit cost or price per gallon

Answers

Answer:

The unit cost is $3.15

Step-by-step explanation:

Here, we want to get the price per gallon

mathematically, that will be total amount spent divided by the number of gallons

That will be;

44.10/14 = $3.15

What is the ordered pair for point B?

Answers

Answer:

(4,2)

Step-by-step explanation:

..................................

6. Solve the equation: (c+3)−2c−(1−3c) = 2



a. c=−1 b. c=1 c. c=0 d. c=4

Answers

Answer:

C- C=0

Step-by-step explanation:

Maria had $100 at the beginning of summer vacation. She plans to mow lawns and charge $20 per lawn. Which graph could be used to determine the amount of money Maria will have after mowing 10 lawns if she saves all of her money?

Answers

Answer:

Line graph

Step-by-step explanation:

Maria paid $240 for a table set after a discount of 40%. What was the original price?

Answers

Answer:

The original price was 400 dollars.

Step-by-step explanation:

400 times 0.4 equals 160. 400 minus 160 equals 240. Therefore the answer is 400 dollars.

Simplify each expression by combining like terms.
7a - 6 + 8a ​

Answers

=7a - 6 + 8

=7a + 8a - 6 =15a - 6

AQRS contains the points: Q (4,2) R (5.1) S (3.7). If the triangle is reflected across the y-axis, what will she?

Answers

Answer:

The answer is (-3, 7) hope this helps

Step-by-step explanation:

Answer:If it's reflected,then it should be (-3.7).

Step-by-step explanation:

Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for the next 25 weeks.

How much money should Mr. Jacobs deposit each week?

Answers

Answer:

64$

Step-by-step explanation:

Mr. jacobs should deposit $104 a week

where does the line cross in the equation y=2x=12

Answers

If you mean y=2x+12 then the line crosses at positive 12

I need help with this assignment problem, pls help ;-;

Answers

Answer:

1090 miles

Step-by-step explanation:

50525 - 48345 = 2180 miles in the two weeks

2180/2 (to find out how many miles in 1 week) = 1090

1090 miles per week

50525- 48345= 2180 divided by 2 equals 1090

hiiiiiii hiiiiiiiii ji​

Answers

Heyy hi hi heyy hi hi

Answer:

hlo thanks for free points ❤️❤️

Find the area of the parallelogram ABCD, where DC = 10cm, AD = 6cm, and angle A = 30 degrees

Answers

Answer:

6cm

Step-by-step explanation:

hope this helped

Answer:

60

Step-by-step explanation:

The Casey family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

1/6 Gallons a day or .166


Answer:

1/6

Step-by-step explanation:

1/2 divided by 3

PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!!

Answers

9514 1404 393

Answer:

distributesubtractadddivide by

Step-by-step explanation:

  [tex]\begin{array}{rccl}&-2(5x+8)=14+6x\\\text{Step 1:}&-10x-16=14+6x&\text{distribute}&\text{-2 to $5x$ and 8.}\\\text{Step 2:}&-16x-16=14&\text{subtract}&6x\\\text{Step 3:}&-16x=30&\text{add}&16\\\text{Step 4:}&x=\dfrac{30}{-16}&\text{divide by}&-16\end{array}[/tex]

At each step after the first, we use one of the properties of equality to simplify the equation. In the first step, we use the distributive property to eliminate parentheses.

_____

Additional comment

Note that the first step could have been "divide by -2", which would result in the equation 5x+8 = -7 -3x. Subsequent steps would add 3x, subtract 8, and divide by 8, to give a result of x=-15/8. There is usually more than one way to work a math problem.

Dear Garden Designer,
Shed
I've ordered this shed. It is 2 meters wide, 3.25 meters
long and 2.8 meterstal
I have moved into a house with a smal garden that needs a total redesign
Please design my garden for me. I have attached an accurate scale drawing of my
garden to this emai. I ve listed below some features I want in the garden. I will email
you later about some other things I also want.
To start, please could you draw these features accurately on the plan, showing where
you think they should go in the garden. Send me your plan with an explanation of your
thinking
Best wishes,
Decking for barbeques
I want some decking near the patio doors
It should be big enough to seat at least six people
Mandy
Circular pond
I would like a circular pond.
I'd like its area to be about 7 m.
Path and Borders
I would like some flower borders. These should not be
more than one motor wide as I find wider ones difficult
to look after.
I'd like a gravel path 1 meter wide to go from the shed
to the house and from the garden gate to the house
I will cover the rest with grass

Answers

Answer:

Step-by-step explanation:MATHEMATICAL GOALS

This lesson unit is intended to help assess how well students are able to interpret and use scale

drawings to plan a garden layout. This involves using proportional reasoning and metric units.

COMMON CORE STATE STANDARDS

This lesson relates to the following Standards for Mathematical Practices in the Common Core State

Standards for Mathematics, with a particular emphasis on Practices 1, 3, 4, 5, and 6:

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

8. Look for and express regularity in repeated reasoning.

This lesson gives students the opportunity to apply their knowledge of the following Standards for

Mathematical Content in the Common Core State Standards for Mathematics:

7.G: Draw, construct, and describe geometrical figures and describe the relationships between

them.

Solve real-life and mathematical problems involving angle measure, area, surface area,

and volume.

7.EE: Solve real-life and mathematical problems using numerical and algebraic expressions and

equations.

7.RP: Analyze proportional relationships and use them to solve real-world and mathematical

problems.

INTRODUCTION

This lesson unit is structured in the following way:

• Before the lesson, students work individually on a task designed to reveal their current levels of

understanding. You review their responses and create questions to help them improve their work.

• At the start of the lesson, students reflect on their individual responses, before producing a

collaborative improved solution to the task. Then, in the same small groups students analyze

sample responses. They then discuss as a whole-class the methods they have seen and used.

• In a follow-up lesson, students reflect on their work. If time allows, an extension task is available.

MATERIALS REQUIRED

• Each student will need a copy of Design a Garden and Garden Plan, some blank paper, a miniwhiteboard, pen, and eraser, and the How Did You Work? questionnaire. The Garden Plan should

be copied at exactly 100% scale so the measurements are accurate. If this is not possible,

photocopy the rules on S-3, one rule per student, which should then match the Garden Plan

measurements. It will be useful to have spare copies of the Garden Plan.

• Each small group of students will need a new copy of the Garden Plan, the Assistants’ Methods, a

glue stick, felt-tipped pen, and a sheet of poster paper. For the optional extension Mandy’s Second

Email will be needed. Provide short rules, meter rules, string, protractors, scissors, glue, card,

plain paper, graph paper, and colored pencils for students who choose to use them.

TIME NEEDED

20 minutes before the lesson, a 110-minute lesson (or two 60-minute lessons), and 10 minutes in a

follow-up lesson. Actual timings will depend on the needs of your students.

Find the length of AN A has coordinates (-4,-7), and N has coordinates (1,5)

Answers

The answer is 13 by using Pythagorean theorem.

Directions
1.Make sure to put the question number next to each answer.
2. If you correctly fill out the questions you will be given a link to 50 points.
3. If you incorrectly answer the question (put random numbers or letters) I will report you.
( You will be messaged through inbox so be sure to add your email in the answer)
Also you will be sent the link within 5 mins of the time you answered the question.

Answers

So you want me to answer that entire page for you?

Okay

What number makes the sentence true?
15 – 7 = 3+1

Answers

Answer:

4

Step-by-step explanation:

Although you didn't give me any answers to go with your problem, I am assuming that since 15-7 is 8, and 3 + 1 = 4, the answer should be 4. Now regarding if it is times, it would be x2. Because for times 2 would be 8. Overall the answer should be 4.

Ana Sofia performed a transformation on APQR. She
recorded her transformation and the location of Q' in the
table. Point Q of APQR is located at (-2,3). Complete the
table to determine the values of a and b that make the
algebraic descriptions of her transformation true.

Answers

Answer:

a= 6 b=4

Step-by-step explanation:

-2+6=4

3+4+7

If Karen's 45 minute lunch break ended at 12:30 P.M., what time did her lunch break begin?

Answers

Answer:

11:45 PM

Step-by-step explanation:

please mark brainliest :D

if a>0>b, show that 4a^2 - 5ab + b^2 >0

Answers

Do you have a image ?

What is the answer for this

Answers

Answer:

the product of 5 and a number

Step-by-step explanation:

product is the result of a multiplication problem

5c is the same as 5 times c

we don’t write an x (5xc) because x is sometimes used as a “placeholder” instead of c

2x + 6 = 8
can someone tell me dis​

Answers

Answer:

x=1

Step-by-step explanation:

is the answer

Answer:

x = 1

Step-by-step explanation:

I will give brainliest

Answers

Answer: 16 quarts of blue paint

Step-by-step explanation:

i divided 3 by 24 to see how many quarts there was then took the answer which is 8 and multiplied it by 2.... i dont know if its right but i tried

If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using guess or check.

Please show work

Answers

Answer:

I think 42

Step-by-step explanation:

A camper leaves camp and travels 4 miles west and 3 miles north. How far is the camper from his original starting point?

Answers

Answer:

5 miles

Step-by-step explanation:

To answer this question, use the following:

According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:

[tex]a^2+b^2=c^2[/tex]

Thus plugging in 3 for a and 4 for b:

[tex]c^2 = 25[/tex]

[tex]c=5[/tex]

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