Jerry planted a pine tree that was 5 feet tall and a maple tree that was 10 feet tall. The pine tree grew 3 feet taller per year and the maple tree grew 2 feet taller per year. Which comparison is described by the inequality below? After x years, the pine tree is taller than the maple tree. After x years, the pine tree is at least as tall as the maple tree. After 3x years, the pine tree is taller than the maple tree was after 2x years. After 3x years, the pine tree is at least as tall as the maple tree was after 2x years.

Answers

Answer 1

The initial length of the pine tree=5 feet.

Groth rate of pine tree =3 feet/year.

The initial length of the pine tree =10 feet.

Groth rate of the maple tree =2 feet/year.

After x years, the height of the pine tree= 5+3x feet and

after x years, the height of the maple tree= 10+2x feet.

The inequality for which, after x year, the pine tree is taller than the maple tree is

[tex]5+3x>10+2x[/tex]

[tex]\Rightarrow x>5[/tex] .

The inequality for which, the pine tree is at least as tall as the maple tree is [tex]5+3x\geq10+2x[/tex].

[tex]\Rightarrow x\geq 5[/tex] .

Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and

after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.

The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is

[tex]5+9x>10+4x[/tex]

[tex]\Rightarrow 5x>5[/tex]

[tex]\Rightarrow x>1.[/tex]

The inequality for which, the pine tree is at least as tall as the maple tree is [tex]5+9x\geq10+4x[/tex].

[tex]\Rightarrow 5x\geq5[/tex]

[tex]\Rightarrow x\geq 1.[/tex]


Related Questions

10 POINTS!
I know this is easy i’m actually a little confused... I don’t have many points but can someone try helping??? It’s really easy I just don’t get it.

Answers

Answer:

64

Step-by-step explanation:

Its practically just 8 times 8

What is the answer?
A?
B?
C?
Or D?

Answers

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because it looks like there are 24 edges (8 + 8 + 8)

Answer:

the answer is D trust is D

How do you solve this?

Answers

Answer:

so for one, just put a line horizontal to line 1

part two I'm assuming you do the same as p since it's not asking you to make it perpendicular to line 1.

part three, create going through line 1 (vertical)

part four constructs the same triangle, but just move the points a little so that way it's not overlapping.

Step-by-step explanation:

parallel means not touching

perpendicular means crossing each other paths.

Edmundo is going shopping. He starts out with $36 and buys three items. He buys a
book for $3, a shirt for $12 and a sandwich for $5. He calculates the money he now has
using the formula: $36-($3+$12+$5) Which of the following expressions is also correct?

Answers

Answer:

my best guess is A but im not 100% sure

Step-by-step explanation:

The ratio between the number of red, green and blue marbles in a box is 2:6:5. How many marbles are in the box if there are 20 fewer red marbles than green marbles?

Answers

Answer:

65 marbles

Step-by-step explanation:

2:6 = x-20:x using the information in the problem

2x = 6x-120, and therefore x = 30. 30 is the number of green marbles.

We can find that the multiplier is 30/6 = 5. So there will be 5*2 = 10 red marbles. 5*5 = 25 blue marbles.

30+10+25 = 65 marbles total.

can someone please help me with this question ​

Answers

You would save $4.80 because 24*.20 is equal to 4.8.

this is due soon helppp

Answers

Answer:

-38y-21z

Step-by-step explanation:

-2(3y+z)-7z-4(3z+8y) is the same as

-6y-2z-7z-12z-32y which is the same as

-38y-21z Which is in simplest form

Answer:

-21z-38y

Step-by-step explanation:

hope it helps :)

You spend half of your money on a movie ticket. Then you spend half of what you
have left to buy a large popcom. Then you spend half of what remains to buy a small
drink.
Which expression equals the fraction of money you have left?

Answers

Answer:

1/2-1/2-1/2

Step-by-step explanation:

Thank me later

a function is a relation if and only if the x values do not repeat in a given set. true or false?

Answers

Answer:

true

Step-by-step explanation:

when the domain (x-values)is not repeated in the relation

Help me! with all my questiion and i'll give yall 100 points for each one A shoe store marks up its merchandise by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.00?

Answers

Answer:

$ 25.92

Step-by-step explanation:

Hi there !

100 % .............. $ 24

108 % ................$ x

x = 108×24/100

= 2592/100

= $ 25.92

Good luck !

Answer:

$25.92

Step-by-step explanation:

given:

A shoe store marks up its merchandise by 8%.

find:

What was the selling price of a pair of shoes whose wholesale price is $24.00?

solution:

selling price = wholesale price x (1 + percentage)

                    = $24  x  ( 1 + 0.08)

                    = $25.92

Please help!!
Simplify. √4x/y^3

Answers

D.2y square root x/square root y

PLEASE HELP ASAP 15 POINTS

Answers

7x(3^/x^2y) the very last one

Absolute value of -23/7

Answers

Answer:

3.28

Step-by-step explanation:

In 2015 there were 759 laptops at lightning high school starting a 2016 the school box 75 more laptops at the end of each year the function t(x) equals 75X +759 can be used to determine the total number of laptops at the school X years after 2015 what is the projected total number of laptops at lightning high school at the end of 2020

Answers

Answer:

Step-by-step explanation:

Given the following :

Number of laptops in 2015 = 759

t(x) = 75x + 759 ; model to determine number of laptops at the school. X years after 2015.

Number of laptops in the school in 2020:

A video store changes a monthly membership fee of $7.50 but the charge to rent each movie is only $1.00 per movie another store has no membership fee but it cost $2.50 to rent each movie how many movies need to be ready each month for the total fees to be the same from either company

Answers

Answer:

5 movies

Step-by-step explanation:

Let x denotes number of movies that need to be ready each month for the total fees to be the same from either company.

Monthly membership fee charged by a video store = $7.50

Amount charged to rent each movie = $1.00

So,

total amount charged by the first store = [tex]7.50+(1)x=7.50+x[/tex]

Monthly membership fee charged by another video store = $0

Amount charged to rent each movie = $2.50

So,

total amount charged by another store = [tex]0+2.50(x)=2.50x[/tex]

To find number of movies that need to be ready each month for the total fees to be the same from either company,

solve [tex]7.50+x=2.50x[/tex]

[tex]7.50+x=2.50x\\7.50=2.50x-x\\7.50=1.50x\\x=\frac{7.50}{1.50}\\ =5[/tex]

Ron is tilling a countertop. He needs to place 54 square tiles in each of 8 rows to cover the counter. He wants to randomly place 8 groups of 4 tiles each and have the rest of the tiles to be white. How many white tiles will Ron need?

Answers

Answer:

176

Step-by-step explanation:

54×8=432

8×4=32

32×8=256

432-256=176

Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare?



P

A. P’s surface area is less than Q’s surface area.

B. P’s surface area is equal to Q’s surface area.

C. P’s surface area is greater than Q’s surface area.

D. There is not enough information given to compare their surface areas.

Answers

Answer:

C. P’s surface area is greater than Q’s surface area.

Step-by-step explanation:

Refer to attached

With a corner removed, it doesn't change surface area of the cube as same area is exposed equal to the area of 3 small faces.

With the corner relocated to the top of the cube, it covers the area of one small face but adds up small 5 faces (4 sides and one top). In total the P has more surface area than the Q.

Correct answer choice is C.

In the table below, x represents miles traveled and y represents the cost to travel by train.

Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00

Which linear equation represents the situation?

Answers

Answer:

A: y= 2x+8.50

Step-by-step explanation:

Please tell me if I am wrong.

Answer:

It is B

Step-by-step explanation:

I was doing the test and reviewing it and it was right

point slope form of y=10x-82

Answers

y + 82 = 10x is the answer.

Answer:

y+72 = 10(x-1)

Step-by-step explanation:

I don't really know why this would be useful for solving a problem; please tell me in the comments of my answer.

Anyway, I would pick a random point that would satisfy this equation. One example would be (1, -72)

Now just plug those 2 numbers into the equation:

y+72 = 10(x-1)

Shonda has $73.28 more than Jane. Together they have
$130.30. How much money does Shonda have?

Answers

Answer: 57.02

130.3 - 73.28 = 57.02

Which is used to determine if a relation is a function

1. 3D line test
2.diagonal line test
3.horizontal line test
4.vertical line test

Answers

Answer:

i picked d because

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

three times the difference of a number and four is equal to 5

Answers

what are the options
2 I think maybe be the answer bc 3x2

Please help and put it in a fraction

Answers

Answer:

1/2

Step-by-step explanation:

sorry it took so long.

Answer:

H25

Step-by-step explanation:

A fish is 3 feet below the surface of a lake. If its position can be recorded as −3 feet, what would the position of 0 represent

Answers

Answer:

On the surface of the lake

Step-by-step explanation:

A position of 0 represent that the object is on the surface of the lake. Negative 3 represents 3 feet below the surface of the lake.

Hope this helps.

Please mark me brainliest

Answer: you can mark the other guy as brainliest now

Step-by-step explanation:

i need to write the inequalities helpp!!!

Answers

Answer:

1. f > 40 miles/gallon

2. t < 35 degrees

Answer:

For part one the vehicle cannot have less than 40mpg so the equality would be

[tex]f\geq 40mpg[/tex] because the mpg must be greater than or equal to 40mpg.

For part two the temp must be LESS than 35 not including 35.

so we would show that with [tex]t<35F[/tex]

Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution. He needs to determine how many gallons of 35% solution are needed.
Eli decides to let v represent the volume of the 35% solution and makes a table to help solve the problem.
Help Eli by completing the table.

Answers

Answer:

Here you go :)

Step-by-step explanation:

0.0125 gallons of 35% solution is needed.

Given that,

Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution.

Eli decides to let v represent the volume of the 35% solution.

We have to find,

How many gallons of 35% solution is needed?

According to the question,

Eli decides to let v represent the volume of the 35% solution.

And 0.5 gallons of 10% acid solution,

the volume of the 15% acid solution is (v +0.5).

Therefore,

0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution.

[tex]\rm = 0.5 \times \dfrac{10}{100} + v \times \dfrac{35}{100} = (v+0.5) \times \dfrac{15}{100}\\\\= 0.5 \times 0.01 + v \times 0.35 = (v+0.5) \times 0.15\\\\= 0.05 + 0.35v = 0.15v + 0.075\\\\= 0.35v - 0.15v = 0.075 -0.05\\\\= 0.20v = 0.025\\\\v = \dfrac{0.025}{0.20}\\\\v = 0.0125[/tex]

Hence, 0.0125 gallons of 35% solution is needed.

For more details refer to the link given below.

https://brainly.com/question/17177510

FIRST CORRECT/READABLE/UNDERSTANDABLE ANSWER WILL GET BRAINLIEST AND A THANKS ON THEIR PROFILE!

Answers

Answer: B

Step-by-step explanation:

To get no solution you need to have 2 sides of the equations that don't match. If you go through B you will end up getting 3x- (11/7)=3x-2 which is not true.

NEED HELP! ASAP! 50 POINTS!

(0,11) (3,50) x is measured in gallons and y is measured in miles. Find the rate of change in y relative to x for the ordered pairs. Include unit of measurement in your answer.

Answers

Answer:

[tex]y=13\text{ miles per gallon}[/tex]

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

[tex]y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}[/tex]

Subtract and reduce:

[tex]y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}[/tex]

And we're done!

-132 = 11p
I need help please

Answers

Answer:

-12

Step-by-step explanation:

-132/11= -12

Answer: p = -12

Step-by-step explanation:

divide by 11 on both sides to isolate p, giving you -12

Solve for y
-3=7(y-9/7)

Answers

Answer:

6/7 = y

Step-by-step explanation:

-3=7(y-9/7)

Distribute

-3= 7*y - 7*9/7

-3 = 7y - 9

Add 9 to each side

-3+9 = 7y -9+9

6 = 7y

Divide each side by 7

6/7 = 7y/7

6/7 = y

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