Esther and Michael planted a rose in their garden. Esther's rose is x cm tall after 3 weeks. Mike's rose is three less than twice the height of Esther. the sum of their heights decreased by 5 is 22. find the heights of the roses.
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Answers

Answer 1

The height of the rose of Esther's rose is 10 cm while Mikes's rose is 17 cm.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Height of Esther's rose = x cm

Height of Mike's rose = 2x - 3

The sum of their heights decreased by 5 is 22.

x + 2x - 3 - 5 = 22

3x - 8 = 22

x = 10

Thus, Esther's rose = 10 cm and Mike's rose = 2 x 10 - 3 = 17 cm

Hence "Mike's rose is 17 cm tall, compared to Esther's 10 cm high rose".

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Related Questions

What is the probability that the spinner will not land on a 5 or 8? 5 points

Answers

Answer:

3/4

Step-by-step explanation:

Based on the spinner attached :

Faces are in equal divisions ; number of faces = 8

Probability the spinner will not land on a certain number = 1 - P(spinner lands on that number)

P(spinner lands on 5) = 1 /8

P(spinner will not land on 5) = 1 - 1/8 = 7/8

P(spinner lands on 8) = 1/8

P(spinner will not land on 8) = 1 - 1/8 = 7/8

Hence,

P(spinner will not land on 5 or 8)

Required outcome = (1, 2, 3, 4, 6, 7) = 6

Total possible outcomes = (1.2, 3, 4, 5, 6, 7, 8) = 8

P(spinner will not land on 5 or 8). = 6/8 = 3/4

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Answers

Answer: Strange? Formulas of spheres dont have height. So with height is 1607,68 and without the height its 268.08

Step-by-step explanation:

301,71 cm ^3

hope this helps have a good day or night

Please help me with this.

Answers

C,2 I agree with what the other comment said!!

Order these numbers from least to greatest. 7.63, 7.6032, 7.6,

Answers

Answer:

7.6032,7.63,7.6

Sorry if I am wrong.

Step-by-step explanation:

6. Mrs. Sam buys pencils for $15 per one hundred packs.
a. If she sells them to her students for 10 cents each, what is her profit/loss?
b. If she sells them to her students for 25 cents each, what is her profit/loss?
c. What price should she sell them at to not make or lose any money?

Answers

Answer:

a.) her loss is 5 dollars

b.) her profit is 10 dollars

c.) she should sell them for $0.15

Confused!! The picture below shows the question.

Answers

Answer:

25

Step-by-step explanation:

Find the area of a square if its side length is 3/7 units

NO LINKS PLEASE

Answers

Answer:

A=a2

Step-by-step explanation:

The half-life of a radioactive substance is 15 years. Determine algebraically, to the nearest year, how long it will take for 1/10 of this substance to remain.

Answers

1.5 years should be that answer I hope this helps

Find the volume of the cylinder.

Answers

Answer:

[tex]1205.8 \: {in}^{3} [/tex]

Step-by-step explanation:

For given cylinder:

Radius (r) = 4 in

Height (h) = 24 in

[tex]V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} [/tex]

PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR

Answers

Answer:

p-3=8.25

p=11.25

Answer:

p - 3 = 8.25 and 11.25

Step-by-step explanation:

hi there!

the question is asking us to first find out which equation we can use to solve this wordy problem.

its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.

knowing that now, our answer is p - 3 = 8.25 or 4 !

now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it

3 + 8.25

= 11.25

p = 11.25 <---------------- our final answer!

i hope this helped you! i hope you have a good rest of your day :)

( im sorry if this this late!! )

A toy company uses the box shown below to package wooden cubes. Each wooden cube has a volume of 1 8cubic foot. In total, how many wooden cubes will fit in the box.

Answers

Answer:

240 cubes

Step-by-step explanation:

A toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box

Volume of the box = length × width × height

= 5 ft × 3 ft × 2 ft

= 30 ft³

Volume of wooden cube = 1/8 ft³

how many wooden cubes will fit in the box.

Number of wooden cubes that will fit in the box = volume of the box ÷ volume of the wooden cube

= 30 ft³ ÷ 1/8 ft³

= 30 × 8/1

= 240 cubes

Number of wooden cubes that will fit in the box = 240 cubes

In ΔQRS, the measure of ∠S=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:

57.6°

Step-by-step explanation:

It is always helpful to draw a picture.  Also, you need to memorize all the definitions of the trig functions.  For example,

sine of an angle = opposite side/hypotenuse

In your case, SQ is opposite side to angle R and QR is the hypotenuse

Therefore, sin R = 6.5/7.7

          m∠R =  arcsin (6.5/7.7) = 57.6°

Anton leaves a cup of hot chocolate on the counter in his kitchen. Which graph is the best representation of the change in temperature of his hot chocolate over time?

Answers

Answer:

Step-by-step explanation:

May I please see the graph?

Please answer this quick

Answers

I'm sorry but i can't really see the picture

Answer:

1/4

Step-by-step explanation:

help me please I need helpp

Answers

Answer:

172.8 = 32 x 5.40

Step-by-step explanation:

Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence. What will Leo's balance be after 9 months?​

Answers

After 9months it will cost $1770

Hi! Please help on this question (you have to use the Pythagorean theorem method) and explain the steps *giving brainliest*

Answers

the answer is 10 because you can add 10 to 60 to make 70 and the other side would be 70 so 30+30+70+70=200

the correct answer is A
hope it helps

A rectangle swimming pool is measured up to 15 meters long and 7 1 fourth meters wide what is the area of this swiming pool

Answers

Answer:

108.75 m^2

Step-by-step explanation:

Area of a rectangle = length x breadth

15 x 7 1/4

15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2

What is the area of the triangle?
5
3
units?

Answers

the answer to the question is 7.5

A and b are positive integers and a-b=2. Evaluate the following:
27^1/3b/9^1/2a

thank you very much

Answers

Answer:

Answer: 1/9

Step-by-step explanation:

(27^1/3 = 3

9^1/2 = 3

3^b

====

3^a

3^(b - a)

3^-2 = 1/9

1/9

I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

It is correct!!

Step-by-step explanation:

Please help me out I’ll mark brainliesttttt

Answers

Answer:

x = 4

Step-by-step explanation:

Since the triangle is 45-90-45, x = 4.

Answer:

4 is the answer

Step-by-step explanation:

By Pythagorean theorem

hypotenuse^2=base^2+altitude^2

(4sqrt2)^2=(4)^2+x^2

32=16+x^2

32-16=x^2

16=x^2

taking square root on both sides

x=4

what is the input of arccos

Answers

Answer:

It returns the angle whose cosine is a given number.

Step-by-step explanation:

For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"

cos30 = 0.866 Means: The cosine of 30 degrees is 0.866

arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.

Use arccos when you know the cosine of an angle and want to know the actual angle.

What is the volume of the composite figure?

Answers

Answer:

It's 372 in³

Step-by-step explanation:

A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³

A man wants to build around water fountain with diameter, d = 11.28 feet. The man is trying to put up a fence around the build with some wire. What is the length of the wire that the man needs to complete the task?


Answers

Answer:

35.44

Step-by-step explanation:

2 times pi times radius.

Consider function g.
g(x) = 5/x - 1 + 2

What is the average rate of change of function g over the interval [-4, 3]?

A. 1/2
B. -1/2
C. -7/2
D. 2

Answers

Answer:

Step-by-step explanation: The answer is 1/2. This is on the Odyssey online Algebra 2 mastery test.

The average rate of change of function g over the interval [-4, 3] will be;

⇒ 1/2

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The function g is,

⇒ g (x) = 5 / (x - 1) + 2

And, The interval is,

⇒ [ - 4, 3 ]

Now,

We know that;

The average rate of change of function at interval [a, b] is,

⇒ f (b) - f (a) / (b - a)

So, The average rate of change of function g over the interval [-4, 3] is,

⇒ g (3) - g (- 4) / (3 - (- 4))

Here, The function g is,

⇒ g (x) = 5 / (x - 1) + 2

Put x = 3;

⇒ g (3) = 5 / (3 - 1) + 2

           = 5/2 + 2

           = 4.5

Put x = - 4;

⇒ g (-4) = 5 / (- 4 - 1) + 2

            = 5 / - 5 + 2

            = - 1 + 2

            = 1

So, WE get;

The average rate of change = (4.5 - 1) / 7

                                           = 3.5 / 7

                                           = 1/2

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whats the solutions to these using substitution method pls show ur work

Answers

These are the answers

Can anyone help me please
I’ll mark you as a brainliest.
NO LINKS

Answers

Answer is 1.538
Using (x1,y1)(x2,y2)
x1=0
Y1=2
X2=5.2
Y2=10

Can you guys help me find the missing parts where the letters are

Answers

Answer:

I’m going in the order form up to down

1) Total cost is $15.60 (you multiply the unit rate by the quantity to find the total cost)

2) Unit rate is $13.20 (You divide the total by the quantity to find the unit rate)

3) Quantity is 6 (You divide the total by the unit rate to find the amount of things or quantity)

4) 12 percent tax rate (We can make an eqaution to find out how much you multiply thr total to find the tax rate by doing 82.5x=9.9. THe result would be 0.12 or 12 percent)

yeah what that other person said

Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.

Answers

Answer:

Step-by-step explanation:

The following statements are true:

1.  A quadratic function can have up to two x-intercepts.

2.  An x-intercept of a quadratic function is also called a zero of the function

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