1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
soldi70 [24.7K]
3 years ago
9

When Cameron moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 24 inches tall an

d Tree B was 39 inches tall. Each year thereafter, Tree A grew by 6 inches per year and Tree B grew by 3 inches per year. Let AA represent the height of Tree A tt years after being planted and let BB represent the height of Tree B tt years after being planted. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Tree A is taller than Tree B.
Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

time interval when Tree A is taller than Tree B is;

t > 5 years

Step-by-step explanation:

Tree A;

Initial height = 24 inches

Increase in height per year = 6 inches per year

Thus, for t years after being planted, height is;

A = 6t + 24

Tree B;

Initial height = 39 inches

Increase in height per year = 3 inches per year

Thus, for t years after being planted, height is;

B = 3t + 39

For tree A to be taller than tree B, then it means thay;

A > B

Thus;

6t + 24 > 3t + 39

Subtract 3t from both sides to get;

6t - 3t + 24 > 39

3t + 24 > 39

3t > 39 - 24

3t > 15

Divide both sides by 3 to get;

t > 5

Thus, time interval when Tree A is taller than Tree B is; t > 5

You might be interested in
Which of the following equations represents the area of a sector?
Rina8888 [55]

From the given options we can say that the only one that represents the area of the sector is; A = n/360 * πr²

<h3>What is the Area of the Sector?</h3>

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

θ/360 * πr²

where;

θ is the central angle of the sector

r is radius

Now, looking at the given options we can say that the only one that represents the area of the sector is;

A = n/360 * πr²

where n is the central angle of the sector

Read more about Area of Sector at; brainly.com/question/16736105

#SPJ1

4 0
1 year ago
For the equation y=5 + 6x, what does y equal when x is 4? Will mark brainliest
emmasim [6.3K]

Answer:

y=29

Step-by-step explanation:

y=5+6(4)

y=5+24

y=29

BRAINLIEST PLZ

8 0
3 years ago
Read 2 more answers
A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these
Svetlanka [38]
They can carry 80 containers each
160,000 / 2,000 = 80
6 0
3 years ago
 A barrel contains 56 litres of kerosene. It has two taps. One tap draws 500 ml every 6 minutes. After first 5 litres are drawn
tigry1 [53]

Answer:

The tank will empty in 4 hours.

Step-by-step explanation:

Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:

0.5 x X = 5

X = 5 / 0.5

X = 10

10 x 6 = 60

1 hour = 51 liters

1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5

2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34

2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5

3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17

3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5

4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0

Therefore, the tank will empty in 4 hours.

3 0
3 years ago
3. Jenny puts two wooden blocks together. One block has a length of 5 in., a width of 4 in., and a
Mazyrski [523]

Answer:

140 inches cubed

Step-by-step explanation:

Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.

Hopefully this helps- let me know if you have any questions!

3 0
2 years ago
Other questions:
  • How do the X- and Y-coordinates change when a figure is translated right a units and down b units?
    11·2 answers
  • PLEASE HURRY
    14·2 answers
  • What is the percent of decrease from 50 °<br> 44?
    11·2 answers
  • Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
    12·2 answers
  • Original amount: 326<br> End amount: 423.80<br><br> Increase or decrease
    11·1 answer
  • 1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that
    13·1 answer
  • james determined that these two expressions were equivalent expressions using the values of x=4 and x=6 which statements are tru
    13·1 answer
  • 50% to 36.75 what is the original price
    13·1 answer
  • suppose we want to choose 2 letters without replacement,from the 4 letters A,B,C,and D (a) how many ways can this be done,if the
    12·1 answer
  • Rewrite y + 1 = -2x – 3 in standard form
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!