How many ways are there to
adjust two quantities so that they are in a
given proportional relationship?

Answers

Answer 1

Answer:

2 or 3

Step-by-step explanation:


Related Questions

PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!

Tmr is my exam pls help...

Answers

Answer: x = 1/2

=========================================================

Explanation:

Recall that quadratic form is ax^2+bx+c.

So we need an x^2 term followed by an x term, then a constant at the end.

It may not look it, but the given equation is nearly in quadratic form.

Rewrite 9^(2x) as (9^x)^2

We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0

From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0

From here we can use the quadratic formula or factor. I'll factor.

w^2 - 2w - 3 = 0

(w - 3)(w + 1) = 0

w-3 = 0 or w+1 = 0

w = 3 or w = -1

---------------------

Now we use these values of w to find x

If w = 3, then,

w = 9^x

3 = 9^x

log(3) = log(9^x)

log(3) = x*log(9)

x = log(3)/log(9)

x = log(3)/log(3^2)

x = log(3)/(2*log(3))

x = 1/2

At the last step, we have the log(3) terms cancel.

Repeat for w = -1

w = 9^x

-1 = 9^x

log(-1) = log(9^x)

We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.

In short, w = -1 is extraneous so it doesn't lead to any x value solution.

So only w = 3 is useful.

Ultimately, the only solution is x = 1/2.

WHAT IS DIFFERENCE BETWEEN SQUARE AND RHOMBUS JUSTIFY YOUR ANSWER

Answers

Answer:A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.

Step-by-step explanation:

Answer:

A square has all its angles equal to 90 degrees a rhombus has no 90 degree angles

domain and range on a graph

Answers

Answer:

domain is d. range is (0,1,2,3,4,5,6,7,8,9,10,11,12)

I will give brainliest

Answers

Answer: 16 quarts of blue paint

Step-by-step explanation:

i divided 3 by 24 to see how many quarts there was then took the answer which is 8 and multiplied it by 2.... i dont know if its right but i tried

What is the area of the figure
A 234 in
B 315 in
C 225 in
D 252 in

Answers

D is the right answer one

What is the average rate of change for [-1,2]?

Answers

Answer:

Step-by-step explanation:

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.

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Answers

Heyy hi hi heyy hi hi

Answer:

hlo thanks for free points ❤️❤️

please answer this question

Answers

Answer:

16%

Step-by-step explanation:

Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%

A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time. Stats question, I'm really struggling here. Please help me!

Answers

Answer: 165.78 < μ < 180.22

Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.

A confidence interval is calculated as

x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]

z is z-score for 99% confidence, which is: z = 2.58

Then, the estimate is

173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]

173 ± 2.58*2.8

173 ± 7.224

lower limit: 173 - 7.224 = 165.78

upper limit: 173 + 7.224 = 180.22

The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.

Dear Garden Designer,
Shed
I've ordered this shed. It is 2 meters wide, 3.25 meters
long and 2.8 meterstal
I have moved into a house with a smal garden that needs a total redesign
Please design my garden for me. I have attached an accurate scale drawing of my
garden to this emai. I ve listed below some features I want in the garden. I will email
you later about some other things I also want.
To start, please could you draw these features accurately on the plan, showing where
you think they should go in the garden. Send me your plan with an explanation of your
thinking
Best wishes,
Decking for barbeques
I want some decking near the patio doors
It should be big enough to seat at least six people
Mandy
Circular pond
I would like a circular pond.
I'd like its area to be about 7 m.
Path and Borders
I would like some flower borders. These should not be
more than one motor wide as I find wider ones difficult
to look after.
I'd like a gravel path 1 meter wide to go from the shed
to the house and from the garden gate to the house
I will cover the rest with grass

Answers

Answer:

Step-by-step explanation:MATHEMATICAL GOALS

This lesson unit is intended to help assess how well students are able to interpret and use scale

drawings to plan a garden layout. This involves using proportional reasoning and metric units.

COMMON CORE STATE STANDARDS

This lesson relates to the following Standards for Mathematical Practices in the Common Core State

Standards for Mathematics, with a particular emphasis on Practices 1, 3, 4, 5, and 6:

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

8. Look for and express regularity in repeated reasoning.

This lesson gives students the opportunity to apply their knowledge of the following Standards for

Mathematical Content in the Common Core State Standards for Mathematics:

7.G: Draw, construct, and describe geometrical figures and describe the relationships between

them.

Solve real-life and mathematical problems involving angle measure, area, surface area,

and volume.

7.EE: Solve real-life and mathematical problems using numerical and algebraic expressions and

equations.

7.RP: Analyze proportional relationships and use them to solve real-world and mathematical

problems.

INTRODUCTION

This lesson unit is structured in the following way:

• Before the lesson, students work individually on a task designed to reveal their current levels of

understanding. You review their responses and create questions to help them improve their work.

• At the start of the lesson, students reflect on their individual responses, before producing a

collaborative improved solution to the task. Then, in the same small groups students analyze

sample responses. They then discuss as a whole-class the methods they have seen and used.

• In a follow-up lesson, students reflect on their work. If time allows, an extension task is available.

MATERIALS REQUIRED

• Each student will need a copy of Design a Garden and Garden Plan, some blank paper, a miniwhiteboard, pen, and eraser, and the How Did You Work? questionnaire. The Garden Plan should

be copied at exactly 100% scale so the measurements are accurate. If this is not possible,

photocopy the rules on S-3, one rule per student, which should then match the Garden Plan

measurements. It will be useful to have spare copies of the Garden Plan.

• Each small group of students will need a new copy of the Garden Plan, the Assistants’ Methods, a

glue stick, felt-tipped pen, and a sheet of poster paper. For the optional extension Mandy’s Second

Email will be needed. Provide short rules, meter rules, string, protractors, scissors, glue, card,

plain paper, graph paper, and colored pencils for students who choose to use them.

TIME NEEDED

20 minutes before the lesson, a 110-minute lesson (or two 60-minute lessons), and 10 minutes in a

follow-up lesson. Actual timings will depend on the needs of your students.

50 points please help me with this. Dont spam random things. If your smart answer this please

Answers

Answer:

top one

Step-by-step explanation:

Answer: It's B.

Step-by-step explanation: this is 1st grade math. good luck!

Liam had \$250$dollar. Then, he and his classmates bought a present for their teacher, evenly splitting the \$ p cost among the 24
of them.

Answers

Answer:

20

Step-by-step explanation:

the answer would be 20 if i’m right

Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for the next 25 weeks.

How much money should Mr. Jacobs deposit each week?

Answers

Answer:

64$

Step-by-step explanation:

Mr. jacobs should deposit $104 a week

yo im timed please help!! at the top it says "car A is traveling east at a steady speed of 45 mph. after 2 hours it is 100 miles east of Johnstown . car B is traveling east on the same road. its distance east of Johnstown is represented by the graph" il give 20 more points if you're correct

Answers

Answer:

it could be C or a

Step-by-step explanation:

more likey c be sorry if it's wrong

I WILL GIVE BRAINLEST!!!!!!


Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x


PLSSS SHOW YOUR WORK PLSSSS

Answers

Can Smart people Answer this plz.??????? I WILL GIVE BRAINLEST!!!!!!


Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x


PLSSS SHOW YOUR WORK PLSSSS

If Karen's 45 minute lunch break ended at 12:30 P.M., what time did her lunch break begin?

Answers

Answer:

11:45 PM

Step-by-step explanation:

please mark brainliest :D

The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p?

Answers

Answer:

A

Step-by-step explanation:

sorry for being late

good luck m8s

If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using guess or check.

Please show work

Answers

Answer:

I think 42

Step-by-step explanation:

What is the value of x in the solution of the system x+y=3
y=-6x+3

Answers

The answer is 9 your welcome nice day
the answer is 9 I hope I helped !!

what is the biggest slime bubble idk why but yeah and pls answer

Answers

Answer:

there is alot of them

Step-by-step explanation:

1. Sherrys age is nine less than six times Fred's age. Write an equation and find Sherrys age if Fred is ten years old.

2. A bicycle was originally priced at $102 and is on sale for 30% off. What is the discounted price?

Answers

Answer:

1. x= 10x6-9 Sherry is 51 apparently

2. $71.40

Step-by-step explanation:

if a>0>b, show that 4a^2 - 5ab + b^2 >0

Answers

Do you have a image ?

Enter the difference between the rates of change for these two functions.

Answers

Answer:   2

========================================

Explanation:

Let's find the slope of the graphed line

Use the slope formula on two points from the diagonal line. I'll pick the two points (-1,-2) and (0,2) to get

m = (y2-y1)/(x2-x1)

m = (2-(-2))/(0-(-1))

m = (2+2)/(0+1)

m = 4/1

m = 4

The slope of the graph is 4. This is the same as the rate of change for this graph.

-----------------

Repeat those steps for the data table

I'll pick the first two rows (0,-6) and (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-6))/(2-0)

m = (-2+6)/(2-0)

m = 4/2

m = 2

The slope, or rate of change, here is 2

-----------------

Now subtract the two slopes: 4-2 = 2

The answer is 2.

The difference between the rates of change for these two functions

is 2.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

We know the slope(m) between the two points (x₁, y₁) and (x₂, y₂) is given by, m = (y₂ - y₁)/(x₂ - x₁).

The two coordinate points of the graph of the line are (0, 2) and (- 1, - 2).

slope(m₁) = (- 2 - 2)/(- 1 - 0).

slope(m₁) = 4.

Slope(m₂) = (- 2 + 6)/(2 - 0).

slope(m₂) = 2.

Therefore, The difference between the rate of change of the two functions is, m₁ - m₂ = 4 - 2 = 2.

learn more about slopes here :

https://brainly.com/question/3605446

#SPJ2

Triangle TAG is graphed as shown


Which of the following transformations will move triangleTAG so that point G is at the origin?

Answers

Answer:

The transformation is (x,y) to (x-2,y-6)

Step-by-step explanation:

First of all, we note the coordinates of the point G

The coordinates of the point G is (2,6)

To bring this to the origin, we are looking at bringing it to the point (0,0)

To do this, we subtract 2 from the x-value and 6 from the y value

So what we have is that;

(x-2) and (y-6)

(x-2, y-6)

will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5

A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5

Answers

Answer:

option c

Step-by-step explanation:

The zeros of 3x+1

3x=-1

x=-⅓

plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor

3(-⅓)²+16(-⅓)+5

=0

What number makes the sentence true?
15 – 7 = 3+1

Answers

Answer:

4

Step-by-step explanation:

Although you didn't give me any answers to go with your problem, I am assuming that since 15-7 is 8, and 3 + 1 = 4, the answer should be 4. Now regarding if it is times, it would be x2. Because for times 2 would be 8. Overall the answer should be 4.

plsss I need help..i will remark ur answer as a brilliant answer​

Answers

Answer:

9.3. your ans. nabsbss

Find the area of the parallelogram ABCD, where DC = 10cm, AD = 6cm, and angle A = 30 degrees

Answers

Answer:

6cm

Step-by-step explanation:

hope this helped

Answer:

60

Step-by-step explanation:

Maria had $100 at the beginning of summer vacation. She plans to mow lawns and charge $20 per lawn. Which graph could be used to determine the amount of money Maria will have after mowing 10 lawns if she saves all of her money?

Answers

Answer:

Line graph

Step-by-step explanation:

Can someone please tell me the answers for this question

(I'll dm you the screenshots on Twitter)

Answers

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