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

Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.

A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram

Answers

Trapezoid is the correct answer :) good luck

Trapezoid is the quadrilateral with only one pair of opposite parallel sides.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.

Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.

Hence, the correct option is Trapezoid.

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6th grade math i mark as brainliest​

Answers

sorry if you mind but why are you posting all questions here . where are you from

Answer:

Option B) 16 × 9

Option D) 2×2×2×2×3×3

...both are the correct answers.

As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.

Part A: Write an expression to represent how much money Sara earns in a day

Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction​

Answers

Answer:

Part A:   y = 9t + 80

Part B:   $143

Step-by-step explanation:

When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......

Let "y" be the among of money Sara will get paid at the end of the day. then...

y = 9t + 80

In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......

y = 9t + 80

y = (9)(7) + 80

y = 63 + 80

y = 143

What is the radius of the base of the cylinder below?

A cylinder with height of 36 inches and diameter of 42 inches.

inches

Answers

Answer:

21

Step-by-step explanation:

A submarine dives below the surface, heading downward in four moves. If each move downward was 200 feet, where is the submarine after it is finished diving?

Answers

Answer:

800 feet, if you do 200x4 you you would get 800 feet

Step-by-step explanation:

200x4

Ashley had a summer lemonade stand where she sold small cups of lemonade f
or $1.25 and large
cups for $2.50. If Ashley sold a total of
155 cups of lemonade for $265, how ma
ny cups of each
type did she sell?​

Answers

Answer:

$267.7

Step-by-step explanation:

57 large cups and 98 small cups
98x1.25=122.5
57x2.50=142.5
122.5+142.5=265

I need help pls help the girl out pls help me :(

Answers

Answer:

C

Step-by-step explanation:

If you plug the values of x and y into the equation, its C

20 divided 740
with remainder
and don't use calculator it wont work

Answers

Answer:

the answer it is 740 R 0

Step-by-step explanation:

0 3 7     this is the answer

__________________

2 0 7 4 0

 − 0

            ____    

   7 4  

 − 6 0

             _______  

   1 4 0

 − 1      4       0

          _____________

       0

ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

37 with no remainder.

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

The reason it doesn’t show on the calculator is because it has no remainder (but it is true that some calculators don’t show remainders...)

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

The cost of producing a smartphone is $42.73 per phone. Additionally, the smartphone company pays a flat rate of $175 to ship each store's order. Write an equation to model the costs for the smartphone company, y, to produce x number of smartphones and ship them to one store. help please ​

Answers

Answer:

42.37x+175 good luck on this

Please hurry, best answer gets brainly

Answers

C = 30, B = 90

A + B + C = 180 <=>

A = 180 - B - C <=>

A = 180 - 90 - 30 <=>

A = 60

Consider the equation below.
log.(x+3) = log2 (2+x)
Which system of equations can represent the equation?

Answers

Answer:

Option (1)

Step-by-step explanation:

[tex]\text{log}_4(x + 3)=\text{log}_2(2 + x)[/tex]

[tex]\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

System of equations can be written as,

[tex]y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

Therefore, system of equations given in Option (1) is the correct option.

Answer:

Option (A)

Step-by-step explanation:

Good Luck on your test

10. A ladder 6.5 metres long leans against a wall,
touching a window sill, and makes an angle of
62° with the ground. Find the height of the
window sill above the ground. How far is the
foot of the ladder from the foot of the wall?​

Answers

Answer:

5.74m, 3.05m

Step-by-step explanation:

The set up is a right angled triangle.

Length of the ladder is the hypotenuse = 6.5m

Angle of elevation = 62°

Required

Height of the window (opposite)

Using SOH CAH TOA trigonometry identity

Sin theta = opp/hyp

Sin62 = opp/6.5

Opp = 6.5sin62

Opp = 5.74m

Hence the height of the window is 5.74m

The distance of the ladder from the foot of the wall is the adjacent

Cos 62 = adj/6.5

adj = 6.5cos62

adj = 3.05m

Hence the distance of the ladder from the foot of the wall is 3.05m

In 2010, Isaiah paid $6,910 in federal income tax. In 2011, he paid $8,292. What is the percent of increase in the amount paid?

Answers

I need help on this same one lol

Which expression is equal to
-18b^-4

Answers

Answer:

[tex] - \frac{18}{ {b}^{4} } [/tex]

Step-by-step explanation:

[tex] - 18b {}^{ - 4} [/tex]

express b^-4 with a positive exponent using:

[tex]a {}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

[tex] - 18 \frac{1}{ {b}^{4} } [/tex]

[tex] - \frac{18}{ {b}^{4} } [/tex]

footpath is to be constructed in a park in the shape of a parallelogram. When a coordinate plane is laid over a map of the park, the vertices of the footpath are (−4, 2), (8, 2), (11, 7), and (−1, 7).

Answers

Answer:

35.7

Step-by-step explanation:

Step one

Given the coordinates

ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).

AB=(−4, 2), (8,2)

BC=(8,2), (11, 7)

CD=(11, 7),(-1, 7)

DA=(-1, 7),(-4,2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]

The distance between points BC=

[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]

The distance between points CD

[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]

The distance between points DA

[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]

Hence the perimeter of the footpath= 12+5.8+12+5.8

=35.7

Juanita walked 4 miles on a park trail in 1 1/3 hours. What was her average speed in miles per hour?

Answers

Your average speed would be 3 miles per hour.

What quadrilateral has one pair of opposite angles are congruent.

Answers

Kite........................

A kite can be the Quadrilateral

The students at Victor's school voted for a new school color. 198 students voted for purple. If
there are 225 students in Victor's school, what percentage of the students voted for purple?

Answers

Answer:

88%.

Step-by-step explanation:

To calculate percentage: (198 × 100) ÷ 225

This equals 19800 ÷ 225, which is 88%.

Answer:

88%

Step-by-step explanation:

198/225

=0•88

0•88×100

=88%

PLS HELP
What is the y-intercept of the linear function

Y= 2/3 x + 1

is it

-2

2

1

-1

Answers

Answer:

1

Step-by-step explanation:

Slope intercept form is: y=mx+b

b is your y-intercept

Please answer quickly, thanks. :) 35 points and if you answer there are more so you can get 250 points

Answers

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

Over the summer, for every 12 okra seeds Dana planted, 7 grew into plants. If he planted 144 okra seeds, how many grew into plants?
A.
69
B.
84
C.
139
D.
247

Answers

Answer:

If Dana planted 144 okra seeds, 84 of those seeds grew into plants.

Explanation:

Image below.

There are okra plants grown from 84 seeds, which is the correct answer would be option (B).

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Over the duration of the summer, 7 out of every 12 okra seeds Dana placed grew plants. He might grow 144 okra plants.

For every 12 okra seeds Dana planted, 7 grew into plants, so the ratio of seeds that grew into plants to seeds planted is 7/12.

Dana planted 144 okra seeds, so the number of seeds that grew into plants is 144 seeds × (7/12) = 84 seeds.

Therefore, 84 okra seeds grew into plants.

To learn more about the Ratio click here:

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WILL GIVE BRAINLIEST!!

Which statement describes the transformation of M to circle N?
A. The circle was translated down 5 units and dilated by a factor of 1/2
B.The circle was translated down in 1 unit and dilated by a factor of 2
C. The circle was translated down 5 units in dilated by factor of 1/3
D. The circle was translated down in 1 unit and dilated by a factor of 3

Answers

Answer:

C. The circle was translated down 5 units in dilated by factor of 1/3

Step-by-step explanation:

The circle was translated down 5 units in dilated by factor of 1/3

Answer:

C

Step-by-step explanation:

Un agricultor tiene una finca de una hectárea la mitad le dedica a cultivar tomates los 2/5 lo dedica a lechugas y el resto cebollas. A qué fracción dedicará cebollas. B qué superficie dedica a cada cultivo.

Answers

The given area of the farm, A_0=1 hectare.

The fraction of the farm for cultivating tomatoes = 1/2

The fraction of the farm for cultivating lettuce = 2/5

The remaining fraction of farm for onion = 1-(1/2+2/5)=1/10

Therefore, the fraction of farm dedicated to onion is 1/10.

Now, the area dedicated to tomatoes = 1/2 of the area of land.

=1/2 x 1 = 1/2 hectare.

The area dedicated to lettuce = 2/5 of the area of land.

=2/5 x 1 = 2/5 hectare.

The area dedicated to onion = 1/10 of the area of land.

=1/10 x 1 = 1/10 hectare.

A dog drank ¼ quart of water from a birdbath. The birdbath now has ⅝ quart of water. How much water was in the birdbath before the dog’s drink?

Answers

Answer:

7/8 of a quart

The answer is 7/8ths

What is the quotation (-3)^0/(-3)^2

Answers

Hey there!

(-3)^0 / (-3)^2

(-3)^0 = 1 ⬅️ Numerator

(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator

Answer: 1/9 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Order the set of integers from greatest to least.{-8, 32, 55, -32, -19, -3}

Answers

Answer:

55,32,-3,-8,-19,-32

Step-by-step explanation:

55, 32, -3, -8, -19, -32

2-0
No
125/x?
Solve for variables

Answers

10 x 1 =10 0 x 0 =90 grorgi6

Find the value of r so the line that passes through each pair of points has the given slope.
(r,3), (5,9), m = 2

Will give brainillest if you show work thank you

Answers

(X-x0)m=y-y0

(X-5)2=y-9

2x-10=y-9

2x-1=y

Substitute (r,3) in the equation

2(r)-1=3

2r=4

R=2

A jeweler uses 5.2 ounces of gold inside of a ring and 2.5 ounces to decorate it. If the jewelery has 42.35 ounces of gold, what is the greatest number of rings that can be made?

Answers

Answer:

5.5 rings

Step-by-step explanation:

Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)

Answer:

5 rings

Step-by-step explanation:

Hope this helps

help me figure out the icons numbers plzzz​

Answers

Answer:

ahhhhhhhhhhh

Step-by-step explanation:

Okay so for the present imagine it as x-3-×=13, then 2x=16, x=8. So the present box represents 8. When applied to the other questions you will find it that the squirrel is 6, the carrot is 2, and the snowman/green question mark is 5.

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