John buys two types of tree saplings. One starts out at 40 cm and will grow 10 cm every three months. The other sapling starts at 20 cm and will grow 10 cm every two months. After how many months will they be the same height, and how tall will they be? solve for y and x

Answers

Answer 1

Answer:

They will at the same height of 80cm at 12 months.

Step-by-step explanation:

Sapling A:

y = 10/3x + 40

Sapling B:

y = 5x + 20

Set the equations to equal each other.

10/3x + 40 = 5x + 20

10/3x - 5x = 20 - 40

10x - 15x = 60 - 120

-5x = -60

x = 12

Sub x = 12 into one of the two equations (It doesn't matter which one you choose)

y = 5(12) + 20

y = 80


Related Questions

There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?

Answers

Answer:

9 is the answer to that question

Find the measure of angle BCD

Answers

Answer: D

Step-by-step explanation:

Solve by completing the square: x^2+3x-9=0

Answers

Step-by-step explanation:

x=-4.854 or x=1.854

hope this helps

Answer:

C edge 2020

Step-by-step explanation:

i got it right on the practice.

PLEASE HELP WITH EXPLANATION!! THANK YOU ILL GIVE BRAINLEST

Answers

Answer:

All three of the answers, when rounded to the nearest tenth and turned into a decimal, are 0.9.

Step-by-step explanation:

PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.

Answers

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

Which best explains how you know that A(-1,6) is on the same line as a B( -3,10) and C (-5,14)

Answers

Answer:

To get from A to B and from B to C, you move left 2 units and then up 4 units.

Step-by-step explanation:

hope this helps :)

What is the slope of the line that passes through the points (6, 7) and (4, 1)?

Answers

Answer:

m = 3

Step-by-step explanation:

[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]

Hope this helps.

Answer:

3

Step-by-step explanation:

y¹-y²

------

x¹-x²

substitute then solve.

7-1 6

------ --> ----

6-4 2

6/2=3 so slope is 3.

Answer this question quickly plz

Answers

Answer:

a.

1 quarter=0.25

240*0.25=60

again,

b.349/60=5.81 weak

Answer:

Step-by-step explanation:

a) he saves £60 per week

b) 60 x 6= 360

   he needs to save £60 for 6 weeks to have enough money to buy a bike

Find the next term in the series:
0,1,1,2,4,7,13, 24...
Please help I will give brainliest to the correct answer

Answers

Answer:

44

Step-by-step explanation:

This is called the Tribonacci sequence. In this sequence, you add the last 3 numbers together to get the next number in the sequence.

For example, 0+1+1=2, 1+2+4=7, 4+7+13=24 and so on.

7+13+24=44

44 is the next number in the sequence

what is i^75 i need this so help me

Answers

Answer:

i^75 = - i

Step-by-step explanation:

Hope you got it

PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m of ZCAD?

Answers

Answer:

The measure of ∠CAD is 69°

Step-by-step explanation:

In ΔABC

∵ D is the mid-point of AB

∵ E is the mid-point of BC

DE is parallel to AC

→ From parallelism

∵ DE // AC

m∠EDB = m∠CAD → corresponding angles

∵ m∠EDB = 83 - 7x

∵ m∠CAD = 7x + 55

→ Equate them

7x + 55 = 83 - 7x

→ Add 7x to both sides

∵ 7x + 7x + 55 = 83 - 7x + 7x

∴ 14x + 55 = 83

→ Subtract 55 from both sides

∵ 14x + 55 - 55 = 83 - 55

∴ 14x = 28

→ Divide both sides by 14

x = 2

→ To find m∠CAD, substitute x by 2 in its measure

∵ m∠CAD = 7(2) + 55

∴ m∠CAD = 14 + 55

∴ m∠CAD = 69°

The measure of ∠CAD is 69°

Plainfield Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $50 and chairs cost $65. The center cannot spend more than $3000.

Which inequality represents all possible combinations of s stools and c chairs?


50s+65c≤3000

50c+65s≥3000

50s+65c<3000

50c+65s≤3000

Answers

Answer:

D) 50s + 65c ≤ 3000

Step-by-step explanation:

50s represents the stools and 65c represents the chairs

you can't go over 3000 and so this is the only answer that makes sense.

Answer:

The answer is D) 50s + 65c ≤ 3000!

Step-by-step explanation:

I just took the test and i got 100%. Hope this helps! :]

41:18
The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function?

A 50-page photo album holds 400 photographs.
An 80-page photo album holds 560 photographs.
A 100-page photo album holds 8,000 photographs.
A 900-page photo album holds 8,400 photographs.

Answers

Answer:

I believe the answer is the 3rd choice witch would be c

A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes

Answers

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Emma golfs?

Answers

Answer:

The equation that can be used to determine the number of rounds that Emma golfs is:

x=(c-7.50)/6.25

Step-by-step explanation:

From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:

c=7.50+6.25x, where:

c is the total cost for Emma to go miniature golfing

x is the number of rounds

Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:

x=(c-7.50)/6.25

You can replace c with 26.25:

x=(26.25-7.50)/6.25

x=18.75/6.25

x=3

Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)

Answers

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?

Answers

Answer:

The price of each CD before tax is $15.70

Step-by-step explanation:

Given that:

Number of CDs bought by Reuben = 5

Cost of five CDs = $81.50

Sales tax on each CD = $0.60

Sales tax on 5 CDs = 0.60*5 = $3.00

Price of CDs without tax = 81.50 - 3.00 = $78.50

Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]

Price of each CD = [tex]\frac{78.50}{5}[/tex]

Price of each CD = $15.70

Hence,

The price of each CD before sales tax is $15.70

Order from least to greatest, (15 points) and brainy award.

Answers

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

an island has three towns located at points with the coordinates a (15,3) b (25,10) and c (0,20) where the coordinates have units of Km the government wants to locate a toxic waste dump at a position as far as possible away from each town you may assume that this location is not on the edge of the island find the coordinates at the point where the toxic waste dump should be located

Answers

9514 1404 393

Answer:

  (13.06, 16.41)

Step-by-step explanation:

Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.

The midpoint of AB is ...

  (A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)

The midpoint of AC is ...

  (A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)

__

The differences between points are ...

  B -A = (25, 10) -(15, 3) = (10, 7)

  C -A = (0, 20) -(15, 3) = (-15, 17)

Then the perpendicular bisector equations can be written as ...

  bisector of AB  ⇒  10(x -20) +7(y -6.5) = 0

     10x +7x -245.5 = 0

  bisector of AC  ⇒  -15(x -7.5) +17(y -11.5) = 0

     -15x +17y -83 = 0

These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...

  x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06

  y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41

The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).

_____

Further detail regarding the solution

Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...

  R -S = (∆x, ∆y)

The midpoint of segment RS can be called ...

  (R +S)/2 = (h, k)

Then the line that is a perpendicular bisector of RS can be written as ...

  ∆x(x -h) +∆y(y -k) = 0

This is the form that is used above.

__

The "cross multiplication method" for solving a pair of general-form linear equations ...

  ax +by +c = 0

  dx +ey +g = 0

will give the solution as ...

  1/(ae -db) = x/(bg -ec) = y/(cd -ga)

If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.

  [tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]

Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =

Answers

The answer is A = 20 - 4x

The volume of a cylinder is 401.92 cubic inches.
If the height of the cylinder is 2 inches, what is
its radius?

Answers

Radius = sqr v/(pi * h)
Radius = sqr 401.92/(3.14 * 2)
Radius = sqr 401.92/6.28
Radius = sqr 64
Square root of 64 = 8
Solution: the radius is 8

Ob babysits the kids next door every day after school for 1.5 hours. He earns $3.50 an hour. How much money will he earn in 6 weeks if school is in session 5 days a week the whole time? Show your work.

Answers

Answer:

$157.5

Step-by-step explanation:

Given that:

Number of hours worked after the school = 1.5 hours

Earnings per hour = $3.50

Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25

Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25

Number of weeks for which Ob works = 6

Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days

Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5

Heather bought a pair of shoes for$75. She paid an 8.4% sales tax. What is the amount of sales tax she paid?​

Answers

Answer: 6.3

Step-by-step explanation:

If you made 3 lawns and made 25.50 how much per lawn

Answers

Answer:

76.5

Step-by-step explanation:

25.50 x 3 = 76.5

Answer:

$8.50

Step-by-step explanation:

put 25.50/3 and you get 8.50

Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?

Answers

Answer:

Hey have you tried on your own to make sure you understand it?

Step-by-step explanation:

Norma made 16 braided bracelets. She split them evenly among g gift boxes. Write an expression that shows how many bracelets were in each box.

Answers

Answer:

16/g

Step-by-step explanation:

Answer:

the correct answer is 16÷g

Step-by-step explanation:

why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g

Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5

Answers

Answer:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

[tex]y-2=\frac{-4}{5} (x+3)[/tex]

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

Thus, our two equations are:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

do videos give mastary on khan?????????????????

Answers

Answer:

No they are only there so u can understand and answer the questions

The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17​

Answers

Answer:

x = 22 y = 9

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

C

15 mm

8 mm
Pythagorean theorem

Answers

C = 17mm

Explanation:

•8^2 + 15^2 = C^2

•64 + 225 = C^2

•289 = C^2

•Then square root both of them to get 17 = C.

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