A tree that is 4 ft tall is growing at a rate of 1 ft each year a tree that is 12 feet tall is growing at a rate of 1/2 ft each year how many years will it take the two trees to reach the same height

Answers

Answer 1

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

          4= the initial height

          x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height


Related Questions

solve the equation b - 7 - 6 = 15 + 5b

Answers

Answer:

b = -7

Step-by-step explanation:

b - 7 - 6 = 15 + 5b

b - 13 = 15 + 5b

4b = -28

b = -7

how many 5ths are in 3 3/5

Answers

Answer:

18

Step-by-step explanation:

3 3/5 = 18/5

I really need help Please and thank you ​

Answers

la B s la correcta por que es el que esta mas serca :)

Write a linear equation in slope intercept form using the given point and slope.
(6,-6); slope = 2/3

Answers

Answer:

2/3x-10

Step-by-step explanation:

y=mx+b

y=2/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-6). When x of the line is 6, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).

So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.

so, y=2/3x-10

HELP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

y=3x+3

Step-by-step explanation:

First find put the intersect point at the end then find slope.

easy

what is the average rate of change of the function f(x) over the interval [1,3] rounded to the nearest whole number f(x)=6(2.5)

Answers

Answer:

[f(1) - f(3)] / [1–3]

Step-by-step explanation:

Formula

f(x) = 6(2.5)

How to find

The average rate of change over the interval [a,b], or the secant line between the points a and b on the function f(x), is [f(a) - f(b)]/[a-b]. So, substitute a for 1 and b for 3, and you get [f(1) - f(3)] / [1–3]. The quotient of that is your average rate of change.

Pls help me i will give u brainlist

Answers

Answer:

y  < or= -3/2

Step-by-step explanation:

Answer:

< or= -3/2

Step-by-step explanation:

Fill in the missing number on the table, based on the graph?

Answers

Answer:

0.5

Step-by-step explanation:

sana panget kayong lahat

which expression is equal to 24x^2-22x+5

Answers

Answer: (12x−5)(2x−1)

Step-by-step explanation: Hope this help :D

Answer:

24(x^2)-22x+5

=24(x^2)-(12+10)x+5

=24(x^2)-12x-10x+5

=12x(2x-1)-5(2x-1)

=(2x-1)(12x-5)

What is a linear function in the form y=mx+b for the line passing through (2, -4) with y-intercept 2?

Answers

Answer:

A linear function in the form y = m·x + b for the line passing through the point (2, -4) with y-intercept 2 is;

y = -3·x + 2

Step-by-step explanation:

From the question, it is required to find the a linear equation passing through the point (2, - 4) with a y-intercept 2 in the form y = m·x + c

Given that the y-intercept is the point at which the line cuts the y-axis, we have, x = 0

Therefore, we have the point on the line representing the y-intercept is (0, 2)

Therefore, the slope of the graph is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]Slope, \, m =\dfrac{2-(-4)}{0-2} = \dfrac{6}{-2} = -3[/tex]

The equation of the graph in point and slope is given as follows;

y - 2 = -3 × (x - 0) = -3 × x

Therefore, the equation of the line in the form y = m·x + c is given as follows;

y - 2 + 2 = -3 × x + 2

∴ y = -3·x + 2

The equation of the line in the form y = m·x + c is y = -3·x + 2.

Answer this question to get marked as brainliest!!!!

Answers

Answer:

Diameter is the second option

Radius is the first option

Circumference is the third option

Area is the sixth option.

Step-by-step explanation:

Diameter is the distance between two circles from one end to another.

Radius is from the center to any part of the circle

To find cirumfrnce it’s diameter*π

To find area is πr^2 or in this case π*radius*radius

Simplify: –3(y + 2)2 – 5 + 6y

What is the simplified product in standard form?

y2 +
y +

Answers

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth

2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius

Answers

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

A table of values for the cost of a phone plan in terms of the time spent on the phone is shown below.
Time (minutes) Cost ($)
20 17.95
30 19.45
60 23.95

Answers

I think
30 19.45
Not sure though

Nancy, Bryan and Jamie combined their money to purchase a laptop. Together, they paid a total of 490 dollars for the laptop, including tax.
Nancy paid 50 dollars more than Bryan paid.
Bryan paid twice as much as Jamie paid. How much did Nancy paid

Answers

Answer:

226 dollars

Step-by-step explanation:

Bryan = 176

Jamie = 88

Nancy = 226

Since Nancy paid 50 dollars more than Bryan paid that is 226.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nancy, Bryan and Jamie combined their money to purchase a laptop. Together, they paid a total of 490 dollars for the laptop, including tax.

The total = 490 dollars

Given that Nancy paid 50 dollars more than Bryan paid and Bryan paid twice as much as Jamie paid.

Bryan = 2 x Jamie

Nancy = 50 + Bryan

Let Jamie = J

J + 2J + 50 + 2J = 490

5J + 50 = 490

5J = 440

J = 88

Therefore, Bryan = 176

Jamie = 88

Nancy = 226

Hence, Since Nancy paid 50 dollars more than Bryan paid that is 226.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Evaluate 5+x; if x=7

Answers

x = 7


5 + x can also be written as 5 + 7

5 + 7 = 12

Answer:

12

Step-by-step explanation:

Resuelve usando el método de sustitución o el de eliminación. Para un juego de baloncesto se vendieron 1,850 boletos. Se recaudo un total de $ 8,800. Si los boletos de niños cuestan $ 4 y los de adultos cuestan $ 6. ¿Cuántos boletos de cada clase se vendieron?

Answers

Answer:

Se vendieron 700 boletos para adultos y 1,150 boletos para niños.

Step-by-step explanation:

Primero tenemos que definir dos variables:

x = número de boletos de niños vendidos

y = número de boletos de adultos vendidos.

Entonces podemos escribir la recaudación total como:

x*$4 + y*$6

Y sabemos que la recaudación total fue $8,800, entonces:

x*$4 + y*$6 = $8,800

También sabemos que se vendieron 1,850 boletos, entonces:

x + y = 1,850

Entonces tenemos el sistema de ecuaciones:

x*$4 + y*$6 = $8,800

x + y = 1,850

En este caso podemos utilizar el método de sustitución, para ello primero debemos aislar una de las variables en una de las ecuaciones.

Si aislamos x en la segunda ecuación tenemos:

x = 1,850 - y

Ahora podemos sustituir esto en la otra ecuación para obtener:

(1,850 - y)*$4 + y*$6 = $8,800

Ahora podemos resolver esto para y.

$7,400 - y*$4 + y*$6 = $8,800

y*$2 = $8,800 - $7,400 = $1,400

y = $1,400/$2 = 700

Entonces se vendieron 700 boletos para adultos.

Ahora podemos usar la ecuación x = 1,850 - y para obtener el valor de x.

x = 1,850 - y

x = 1,850 - 700 = 1,150

Se vendieron 1,150 boletos para niños.

Can anyone answer this?​

Answers

Step-by-step explanation:

a) First we will convert 150km/hr to m/s.

[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]

=2500m/s, which is the initial speed of the plane.

b)Final Speed of plane = Speed when it stopped.

= 0m/s.

c)Time taken to stop = 3 seconds.

d)Using the kinematic equation,

v = u + at,

where v = Final Speed = 0m/s

u = Initial Speed = 2500m/s

a = acceleration

t = time taken = 3 seconds

Substitute v, u and t to find a.

[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]

if y varies inversely as x, and y =35 when x =14, find x when y =15.

Answers

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

Determine the area of the following trapezoids.
(Hint): A = 1/2(b1 + b2)(h)

Answers

Look at the link they gave!! Very helpful!

Having a wife is monogamy. Having two wives is bigotry. Having three wives is ______________.

Answers

Answer:

polygamy

Step-by-step explanation:

Answer:

polygamy :)

Explanation:

Solve the inequality $-4(x + 4) > x + 7.$ Give your answer as an interval.

Answers

Answer:

x < -4.6

Step-by-step explanation:

-4(x + 4) > x + 7

-4x - 16 > x + 7

-4x - x > 7 + 16

-5x > 23            (When we divide by a negative number, we flip the sign)

5x < -23

x < -4.6

Disinvitedrkeiffxisivisosobo cisibibisihittieigiiigigisiibidcisividbisiAriii

Answers

Answer:

um that's veryyy creepy.....

HELPPPP
find the perimeter of the parallelogram!!!

Answers

Answer:

76ft.

Step-by-step explanation:

P = 2L +2H

P = 2(17) + 2(21)

P = 34 + 42

P = 76

Answer:

76 ft

Step-by-step explanation:

(21 x 2) + (17 x 2) = 42 + 34 = 76 ft

what is the negative solution to this equation? 4x^2+12x=135​

Answers

Answer:

[tex]-\frac{15}{2}[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}135\mathrm{\:from\:both\:sides}[/tex]

[tex]4x^2+12x-135=135-135[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x^2+12x-135=0[/tex]

[tex]x1, 2=−b±√b2−4ac2a For a=4, b=12, c=−135x1, 2=−12±√122−4· 4(−135)2· 4[/tex]

Please help.
Is algebra.

Answers

The answer for question 4 is C and the answer for question 5 is D.


2) Zaria rolls a dice and flips a coin. What is the
probability that she will get a number greater
than 3 and heads?

Answers

Step-by-step explanation:

probability of dice

3/6 or 1/2

probability of coin

1/2

Mrs. Phillips has some cans of peas, beans, corn, and carrots without labels. When a can is chosen randomly, the probability of picking a can of peas is 110, a can of beans is 310, and a can of corn is 12. What is the probability of picking a can of carrots? Select ALL that apply.
1/10


1/5


9/10


10%


20%


90%

Answers

Answer:

i think it is 20 percent

Step-by-step explanation:

Urgent please help..

Answers

Answer:

30cm

Step-by-step explanation:

The perimeter of the triangle is the sum of all of its sides

Since the triangle is an isosceles triangle, then AC = BC

Since AC = 3cm + 9cm = 12cm, then;

AC = BC = 12cm

For AB;

AB = 3cm + 3cm

AB = 6cm

Perimeter of the polygon = AC+BC + AB

Perimeter of the polygon = 12cm + 12cm + 6cm

Perimeter of the polygon =30cm

Jenny bought scrapbooking supplies for $70.75. She paid $5.66 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.

Answers

Answer:

8%

Step-by-step explanation:

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