There are two formulae you can use to calculate the number of apple trees and the number of conifer
trees for the pattern described on the previous page:
Number of apple trees = n2
Number of conifer trees = 8n
where n is the number of rows of apple trees
There is a value of n for which the number of apple trees equals the number of conifer trees.
Find the value of n and show your method of calculating this.​

Answers

Answer 1

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

"By inspection" is an appropriate method.

We are asked to compare the expressions

  n·n

  8·n

and find the value(s) of n that makes them equal. By inspection, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.

__

More formally, we could write ...

  n^2 = 8n . . . . the two formulas give the same value

  n^2 -8n = 0 . . . . rearrange to standard form

  n(n -8) = 0 . . . . . factor

Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...

  n = 0 . . . . . makes the factor n = 0

  n = 8 . . . . . makes the factor (n-8) = 0

Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.

__

A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.

There Are Two Formulae You Can Use To Calculate The Number Of Apple Trees And The Number Of Conifertrees

Related Questions

hey what's
[tex] \sqrt{169} \times 2[/tex]

Answers

Answer:

the square root of 169 is 13 then ×2

26

I hope I am correct mate

enjoy your day

#Captainpower

13 and the square root of 2

I NEED HELP ASAP!!!!!!

Answers

Answer:

83.3%

Step-by-step explanation:

The probability of rolling a 3 on a 6-sided dice is 1/6

Since you don't want a three, there's a 5/6 chance of not rolling a 3

5/6 (use calculator and divede 5 by 6) = 0.833333 (move decimal 2 to the right) = 83.3%

Therefore, the most reasonable answer would be C, 83.3%

Hello! I need help on this geometry assignment! I will give brainliest to anyone who can help me and actually shows the work because I need help right away!!!!!!!!!

2. What is the value of x? Show your work.

Answers

Answer:

We know that 30/25 is 1.2 or 1 1/5. SO if we divide 20 by that then we'll get 16.6667. So I won't give you the answer because its best that you learn to do this yourself because its more beneficial than telling you. What you have left is 16.6667=4x-4. Combine like terms and you'll get your answer. But if your still stuck then you can just let me know and I'll help you as much as I can.

What is the radius of this circle?

Answers

The radius of the circle is 3

the radius of the circle is 3

Carrie needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile.
If Carrie has $12.52 and she finds a cab company with the same flat fee that only charges $0.45 per mile, what is the maximum number of miles she will be able
to travel, to the nearest tenth of a mile?
what is the equation?

Answers

Answer:
Maximum distance covered by Carrie = 22.8 miles
Step-by-step explanation:
The cab company charges a flat fee of $2.25 plus $0.55 per mile.
Amount of money Carrie has = $y
Let the number of miles traveled in $y = x miles
If Carrie finds a cab charging same fee and $0.45 per mile,
y ≤ 2.25 + 0.45x
y - 2.25 ≤ 0.45x

Therefore, inequality representing the maximum distance covered by Carrie,

If, y = $12.52

x ≤ 22.8 miles
Therefore, Carrie will be able to travel the maximum distance = 22.8 miles.

The maximum number of miles she will be able  to travel, to the nearest tenth of a mile is less than or equals to 22.8 miles.

She needs to take a cab and has y dollars. The company charges a flat rate of $2.25 plus $0.55 per mile. Therefore the equation will be

y = 2.25 + 0.55x

where

x = number of miles travelled.

Now she has $12.52 and she finds a cab company with the same flat rate and only charges $0.45 per mile. The maximum number of miles she will be able to travel to the nearest tenth of mile can be calculated below:

2.25 + 0.45x ≤ 12.52

x = number of miles travelled.

0.45x ≤ 12.52 - 2.25

x ≤ 10.27 / 0.45

x ≤ 22.8222222222

x ≤ 22.8 miles

read more: https://brainly.com/question/18366094?referrer=searchResults

Which expression has a negative value?

Answers

Answer:

A

Step-by-step explanation:

If you add 2 negative numbers the result is negative

Answer:

A and D has a negative value

pls anwser (1) this is math look at the pic

Answers

the answer is -3 for the problem

which is the product or 11/12 and 4? A 1 1/4 B 3 2/3 C 4 1/3 D 33

Answers

Answer:

Step-by-step explanation:

11/12 × 4 = 11/3 = 3⅔

Find -2 - -0.7 model the expression on the number line by drawing an arrow

Answers

Answer:

-1.3

Step-by-step explanation:

number line will go all the way to the left and then 7 to the right. which is -1.3

The value of -2 - -7 as modelled in the attached image is; -1.3

According to the question;

We are required to model the expression on the number line by drawing an arrow.

The number line model given can be used to evaluate -2 - -0.7 by simply finding the distance between -2 and -0.7 as in the attached image.

Ultimately, the value of -2 - -0.7 is; -1.3

Read more;

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Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.

Answers

The x-intercepts or the zeros of the function should be (-3,0) and (0.5,0).

1) The diameter of a pizza is 14 inches. What is the circumference of the
pizza? Use 22/7 for pi.

Answers

12.23  i dont know what the awnswer is bu hahahah

Joseph drives 125 miles in 2.5 hours. At the same rate, how far will he be able to travel in 6 hours

Answers

Answer:

300

Step-by-step explanation:

125/2.5=50

50 x 6=300

Joseph will be able to drive 300 miles in 6 hours

hope this helps!

-12=4f-24

Solve for f

Answers

Answer: f=3

Step-by-step explanation:

What's the radical of the expression

Answers

Answer:

√16 or 4

hope this helps!

A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.00

Answers

Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

How much money will Adriano’s online business earn this month

Answers

The website first had 200 subscribers, they gained 40 which makes it 240 and then lost 10 which is 230. 230x5= 1,150. So Adriano’s website earned $1,150

Does anyone knows how to do that?
I need to solve for x

Answers

Answer:

[tex]x=17[/tex]°

Step-by-step explanation:

Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is [tex]180[/tex]°.

Now, with all of this information, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+4x-3=180[/tex]

[tex]112+4x=180[/tex] (Simplify LHS by combining like terms)

[tex]112+4x-112=180-112[/tex] (Subtract [tex]112[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]4x=68[/tex] (Simplify)

[tex]\frac{4x}{4}=\frac{68}{4}[/tex] (Divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=17[/tex]° (Simplify)

Hope this helps!

Julie says the most amount of time spent on homework is 1 1\2 times the least amount of time spent on homework

Answers

Data for the question :

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

Answer:

Julie is Incorrect

Step-by-step explanation:

Given the data:

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

The least amount of time spent is : 1

The most amount of time spent is 3 3/4

According to Julie ; the most amount of time spent is equal to 1 1/2 the least amount of time spent.

That is,

3 3/4 = 1 * 1 1/2

3 3/4 = 15/4

1 * 3/2 = 3/2

Hence, she is incorrect ;

15/4 ≠ 3/2

100 points please help
This painting has?

Answers

Answer:

D. Organic shapes

Step-by-step explanation:

Achromatic shapes: shapes with "no color".

Geometric shapes: shapes with straight lines and angles that symbolize structure and order.

Irregular shapes: shapes that have sides and angles of any length and size.

Organic shapes: shapes with a natural look and a flowing and curving appearance. Organic shapes are associated with things from the natural world, like plants and animals.

I hope this helps :)

Answer:

Its the real answer of my inorganic shapes

Step-by-step explanation:

If im wrong im sorry

Will give brainliest

Answers

Answer:

AC = 4.7 feet

Step-by-step explanation:

cos 20° = x

                5

5 · cos 20° = x

4.7 = x

6.01 x 10 -6 power in decimal form

Answers

Answer:

Step-by-step explanation:

6.01×10⁻⁶ = 0.00000601

Find the value of y for the given value of x.

y = -x, x = -18 2​

Answers

Answer:

y=18.2

Step-by-step explanation:

x=-18.2

-x=18.2

y=18.2

HELP !!!!!!!!!!!!!!!!!!

Answers

Answer:

answer is C ( [tex]3^{4}[/tex] )

Step-by-step explanation:

so here is how you do it.

first you need to find out what [tex]3^{8}[/tex] is

which is the same as 3 X 3 X 3 X 3 X 3 X 3 X 3 X 3

the answer to that is 6,561

then you have to square root that

which looks like this

[tex]\sqrt{6,561}[/tex]

which is 81

which means that you have to find the same expression that equals to 81

I then did [tex]3^{4}[/tex] (C) to see if the answer will be 81 and it is. so your answer is C

The tiles for the bathroom tub makes a rectangular grid consisting of 253 rows and 48 columns. Write an expression that shows the product of the number of tiles in the bathroom.

Answers

Answer:

Step-by-step explanation:

Assuming that the tile sizes are an average of 1x1 then the expression would simply be multiplying the number of rows by the number of columns. This would provide us with a product which would be the area of the bathroom as well as the number of individual tiles that the bathroom needs and/or already has installed represented by the variable t. Therefore, the expression would be the following.

253 * 48 = t

12,144 = t

Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long.

How many meters of rope does Aiku have in all?

0.0412 m

0.412 m

4.12 m

41.2 m

Answers

Answer:

the 3rd one.

Step-by-step explanation:

Option D is correct, Aiku has a total of 4.12 meters of rope in all.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.

The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).

The length of the second rope is 367 centimeters, which is equal to 3.67 meters.

Adding these two lengths together, we get:

0.45 meters + 3.67 meters = 4.12 meters

Therefore, Aiku has a total of 4.12 meters of rope in all.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

25% of the tickets sold at a water park were child tickets. If the park sold 92 tickets in all,
how many child tickets did it sell?

Answers

45 ggdj fdujbvhhfffhikp
25% de 92 est égale à 92x(25/100)=23 25% de 92 est donc égale à 23, voilà bon courage :•) !!!

graph the line with the equation y = 2/3x + 1

Answers

Answer:

line will go through 1 on the y-axis and -1.5 on the x-axis

For what values of x:
Is the trinomial x^2−11x+31 equal to 1?
are the values of the polynomials x^2−5x−3 and 2x−5 equal?
Is the binomial 7x+1 equal to the trinomial 3x^2−2x+1?
Is the trinomial −2x^2+5x+6 equal to the binomial 4x^2+5x?

Answers

Answer:

A) x = 5 or x = 6

B) x = 0.298 or 6.702

C) x = 3

D) x = ±1

Step-by-step explanation:

A) Values of x for which;

x² − 11x + 31 = 1

x² - 11x + 30 = 0

Using quadratic formula, we have;

x = 5 and x = 6

B) Values of x for which;

x² − 5x − 3 = 2x − 5

x² − 5x - 2x - 3 + 5 = 0

x² - 7x + 2 = 0

Using quadratic formula, we have;

x = 0.298 or 6.702

C) Values of x for which;

7x + 1 = 3x² − 2x + 1

3x² - 2x - 7x + 1 - 1 = 0

3x² - 9x = 0

3x² = 9x

Divide both sides by 3x to get;

x = 3

D) Values of x for which;

−2x² + 5x + 6 = 4x² + 5x

Rearranging, we have;

4x² + 2x² + 5x - 5x - 6 = 0

6x² - 6 = 0

x² = 6/6

x² = 1

x = √1

x = ±1

The values of [tex]x[/tex] for the given situations would be as follows:

A). [tex]x = 5[/tex] or [tex]x = 6[/tex].

B). [tex]x = 0.298[/tex] or [tex]6.702[/tex]

C). [tex]x = 3[/tex]

D). [tex]x =[/tex] ±[tex]1[/tex]

Find the value of x

a). [tex]x^2 - 11x + 31 = 1[/tex]

⇒ [tex]x^2 - 11x + 30 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Considering

a = 1

b = -11

c = 30

⇒ {[tex]-(-11)[/tex] ± [tex]\sqrt{(-11)^2 -4 .1. 30 }[/tex]}[tex]/2.1[/tex]

Now,

[tex]x =[/tex] ([tex]11[/tex] ± [tex]1)/2[/tex]

Thus, the values for which the given trinomial would be equivalent to 1 would be:

∵ [tex]x = 5[/tex] and [tex]x = 6[/tex]

b). [tex]x^2 - 5x - 3 = 2x - 5[/tex]

⇒ [tex]x^2 - 5x - 2x - 3 + 5 = 0[/tex]

⇒ [tex]x^2 - 7x + 2 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Therefore, the values of polynomials [tex]x^2 - 5x - 3 = 2x - 5[/tex] when:

∵ [tex]x = 0.298[/tex] or [tex]x = 6.702[/tex]

c). [tex]7x + 1 = 3x^2 - 2x + 1[/tex]

⇒ [tex]3x^2 - 2x - 7x + 1 - 1 = 0[/tex]

⇒ [tex]3x^2 - 9x = 0[/tex]

⇒ [tex]3x^2 = 9x[/tex]

by dividing both the sides by [tex]3x[/tex] to receive;

Hence, the binomial and trinomial [tex]7x + 1 = 3x^2 - 2x + 1[/tex] when:

∵ [tex]x = 3[/tex]

d). [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex]

by arranging them again, we get;

[tex]4x^2 + 2x^2 + 5x - 5x - 6 = 0[/tex]

⇒ [tex]6x^2 - 6 = 0[/tex]

⇒ [tex]x^2 = 6/6[/tex]

The trinomial and binomial [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex] would be when:

∵  [tex]x =[/tex] ±[tex]1[/tex]

Learn more about "Binomial" here:

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Oliva buys 6 packs of muffins. She uses a coupon and saves 3$ off the total. which expression represents her total cost?
A. 6m - 3
B. 6 + 3
C. 6 - 3m
D. 6m + 3​

Answers

Answer:

A. 6m - 3

Step-by-step explanation:

6m represents finding the total cost for the 6 packs of muffins.

When you use PEMDAS or GEMDAS (whichever you know better), they both make you solve 6m first which means you subtract $3 after you find the total amount for the packs of muffins.

After you figure that out, you subtract the $3 from the total since it's a coupon and will save you $3 instead of adding it to the total price.

hope this makes sense and help :)

Answer:

A. 6m - 3

Step-by-step explanation:

Saving 3 dollars off of a coupon lowers the price therefore making it subtraction. 6m is the amount of the muffins cost, m being the unknown price of each muffin.

Estaban is 6 years older than his brother Raoul. The sum of their ages is 38. How old are the brothers?

Answers

Answer:

raoul is 16 and estaban is 22

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