4. Prove or disprove the following statement: Given two numbers, increasing both numbers by 10% results in two numbers whose difference is the same as the difference of the two original numbers. Give a numerical example and explain.​

Answers

Answer 1

Step-by-step explanation:

increase by 10% is the same as multiplying by 1.1.

so, we get the assumption that

x - y = 1.1x - 1.1y = 1.1(x - y)

for the case that x <> y, now we can divide both sides by (x - y) and get

1 = 1.1

and that is wrong in all cases.

so, it is disproven for all x <> y.

for x = y the statement is true, the difference is in both cases 0.

e.g.

100 and 200

the difference is 100

100+10% = 110

200+10% = 220

and the difference is 110 (different to the original 100).

but 100 and 100, sure, the difference is 0, and the difference between 110 and 110 is still 0.

adding a % to a number means the size of the added part depends on the size of the basic number. the same % of a larger number is larger than the same % of a smaller number. therefore, the distance grows.


Related Questions

I need help bad. It's about finding angles and I can't really figure it out.

Answers

Answer:  41 degrees

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

Explanation:

Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.

Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.

We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.

Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle

(angleABF) + (angleFBD) + (angleDBC) = 180

(63) + (63) + (x) = 180

x+126 = 180

x = 180-126

x = 54

Angle DBC is 54 degrees.

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

The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.

B+C+D = 180

54 + 85 + D = 180

139 + D = 180

D = 180-139

D = 41

Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.

Therefore, angle E is 41 degrees.

The diagram is below showing all of the angles we found.

You start at (-4, -1). You move up 2 units and right 6 units. Where do you end?

Answers

Answer:

(2, 1)

Step-by-step explanation:

-4 + 6 = 2

-1 + 2 = 1

X and Y become positive by going up and right

Answer:

(2, 1 )

Step-by-step explanation:

A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.

A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.

(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )

I will give brainliest to whoever gets the right answer

Answers

Answer:

[tex]18[/tex]

Step-by-step explanation:

Step 1:  Input the values and solve

[tex]b - 7a[/tex]

[tex](4) - 7(-2)[/tex]

[tex]4 - (-14)[/tex]

[tex]4 + 14[/tex]

[tex]18[/tex]

Answer:  [tex]18[/tex]

Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =



Plz help me I need the answer

Answers

G(-1) = 3/2
G(0) = 3
G(4) = 1

What is the sum of the coefficients in the expression below?
22°y2 + 5x+ y2 - 6xy' +7

Answers

Answer:

485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7

Step-by-step explanation:

I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.

Good luck and have a great rest of your day.

A golf retailer purchases its clubs from a wholesaler at $39 per club. It sells the same clubs to golfers at $76 per club. What is the markup on each club, as a percentage of the wholesale price?

Answers

Find the amount of the markup by subtracting:

76-39 = $37

Divide the amount of the mark up by the purchase price:

37/39 = 0.948 x 100 = 94.8%

Answer: 94.8 %. Round the answer as needed.

I WILL GIVE BRAINLEST PLAESE HURRY I HAVE 10 MIN
Launch Problem


Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


If Melanie ran once a day, how many days did she run?

Answers

Wait this might be a trick. If Melanie ran ONCE A DAY how many days did she run. She trained for the week. 7 days in a week. There is a good chance I am wrong but I think 7 days.

9. If ATLY ~ ACHK, find the value of x.

Answers

Check the picture below.

in an exam,Kianna scored 80% out of a total of 520 how may marks did she score?​

Answers

Answer:

416

Step-by-step explanation:

you take 520 times .80

Please help me in this 4th grader question, i was sick over the weekend

Answers

Answer:

[tex] = 825 - 657 \\ = 168answer.[/tex]

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Answer:

825 - 657 = 168

This is the answer, hope it helps you!!

I been on this for days and no one can give me a right answer ​

Answers

Answer:

2x²=6x-5= x=3+i/2

-x²-10x=34= x = -(5+3i)

Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers

1. is 2/3 and 4/12 equivalent or no 2. is 5/6 and 10/12 equivalent or no 3. is 1/4 and 4/8 equivalent or no?

Answers

6/12, 1/2, 10/20, 5/10,

Answer:

Step-by-step explanation:

what is the equation of a line whose slope is -2 and whose y-intercept is 4?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

if y is 4..it means x intercept is 0

gradient is -2

and we know gradient is the change in y /change in X

so: we let the second intercepts to be (x,y)

so y-4/x-0=-2

multiply by x-0 both sides then collect like terms together

it will be y= -2x+4

Nina bought four pieces of candy. She paid for it with a 10 dollar bill. Let ‘c’ represent the cost of one piece of candy. Pick the expression that represents the total amount of money she has leftover.
THE ONLY ANSWERS
4c + 10
10c - 4
4 + 10c
10 - 4c

Answers

Answer:

It should be the last one, 10 - 4c.

Step-by-step explanation:

Because base on the problem it should be a subtraction problem. "C" is the pieces of candy so it would be 4c. Your finding the amount left, so 10 - 4c is the answer.

Answer: 10 - 4c

divide,write in simplest form 6 1/2 divided by 3/4

Answers

Answer:

Step-by-step explanation:

Answer:

8 2/3

Step-by-step explanation:

6 1/2 / 3/4

Improper fractions:

[tex]\frac{13}{2} /\frac{3}{4}[/tex]

Reciprocal:

[tex]\frac{13}{2}*\frac{4}{3}[/tex]

Simplify:

[tex]\frac{13}{1}*\frac{2}{3}[/tex]

Solve:

[tex]\frac{26}{3}=8\frac{2}{3}[/tex]

velocity question ht=2+31t-16tsquared​

Answers

Answer:

Step-by-step explanation:

If I am not mistaken the equation is [tex]S(t) = 2 + 31t - 16t^{2}[/tex]

Then in that case V(t) = S'(t) = 31 - 32t

V(t)=0 gives the time when the stone hits the ground.

31 - 32t = 0

32t = 31

t = 31/32 = 0.96875s

what is 8/10 in simplest form

Answers

i search it up and found its  4/5

Help help help help help please please

Answers

Answer:

Angle 8

Step-by-step explanation:

Refer to the attached picture

Help me plz it’s number 11 I need this urgent

Answers

Answer:

f = -9

Step-by-step explanation:

3(x)

3(-9)

-27

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

To find the number in a square, we have to multiply two circles which are connected to it.So, to find a number in a circle, we have divide the number in the square by the number in the circle connected to it.Therefore, -6 ÷ -3 = 212 ÷ 2 = 66 × -3 = -18

Please find the attached photograph for their positions.

Hope you could get an idea from here

Doubt clarification - use comment section.

What is an equation of the line that passes through the points (8,-4) and (6,-5)?

Answers

Answer:

y=1/2x-8

Step-by-step explanation:

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

m=(-5-(-4))/(6-8)

m=(-5+4)/-2

m=-1/-2

m=1/2

y-y1=m(x-x1)

y-(-4)=1/2(x-8)

y+4=1/2(x-8)

y=1/2x-8/2-4

y=1/2x-4-4

y=1/2x-8

In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 27 feet long with a wingspan of 18 feet. If the finished model will be 13.5 inches long, what will the wingspan be?

Answers

The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

Given:

Kit

Plane = 27 feet

wingspan = 18 feet

Model:

Plane = 13.5 inches

Wingspan = x feet

convert 13.5 inches to feet

1 feet = 12 inches

13.5 inches = 1.125 feet

So,

equate Ratio of plane to wingspan

27 : 18 = 1.125 : x

27/18 = 1.125 / x

cross product

27 × x = 18 × 1.125

27x = 20.25

x = 20.25/27

x = 0.75 feet

Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

Learn more about ratio:

https://brainly.com/question/1781657

Stuck on this, need help on this.

Answers

Answer:

Domain: (-∞ , ∞)

Range: y <= 8        [8 , -∞)

Step-by-step explanation:

x = 2

f(x) = 8

x<=2

f(x) <=8

Select the range of the following relation { (20, 2), (30, 4), (40, 1), (50, 2)} A {1, 2, 3) B {1,2,4} C {1, 2, 3, 4) D {2, 3, 4)​

Answers

Answer:

B  {1,2,4}

Step-by-step explanation:

I took the test

Integrated project 4

Answers

Answer:

what about the integrated project please

how do i multiply 4000x by the square root of 42

Answers

Answer:

25922.963

Step-by-step explanation:

the square root of 42 is 6.48074069841

4000*6.48074069841 is 25922.9627936

Tesses ging for a maik. She waiks 125 miles in 5 hours. What is her speed?

Answers

Answer:

25 miles/hour

Step-by-step explanation:

If you were to divide 125 by 5, you would get 25 miles per each hour as your answer. Brainless if I am correct.

I’ll give brainliest to the person who give me the correct answer and pointsss.
Match them

Answers

I think the y=ab^x goes with the first graph and the y=logbc goes with the second

Step-by-step explanation:

pictures

Question
For every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer. If Nidhi weighs 15 kg, how many milligrams
of the fever reducer will the pediatrician prescribe?

Answers

Answer: 40 mg

Unitary method:

For 3kg --> 8mg

For 1kg --> 8/3 mg

For 15kg--> (8/3) * 15

              --> 40 mg

The number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

Given that, for every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, for 1 kg of child's weight pediatricians prescribe [tex]\frac{8}{3}[/tex] mg of fever reducer.

If Nidhi weighs 15 kg, then the fever reducer = [tex]\frac{8}{3}\times15[/tex]

[tex]=8\times5[/tex]

[tex]=40[/tex] mg

Therefore, the number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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2y = - 3x - 6
For the function provided below, you need to solve for slope intercept form, the x intercept and the y intercept. You must show all work for credit.

Answers

The answer to yo question is 30

The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .

What is slope intercept form?

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.

What are intercepts?

Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0and a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0

According to the question

The equation : [tex]2y = - 3x - 6[/tex]

The x intercept of the equation  :

as a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0 .

Therefore,

at y= 0

[tex]0 = -3x -6[/tex]

[tex]6 = -3x[/tex]

[tex]x = -2[/tex]

So,

x intercept of the equation is (-2,0)

The y intercept of the equation  :

As a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Therefore

at x= 0

[tex]2y = -3*0 - 6[/tex]

[tex]2y = -6 \\ y = -3[/tex]

y intercept of the equation is (0,-3)

Now, The slope intercept form of the equation [tex]2y = - 3x - 6[/tex]

As slope intercept form is given as

y = mx + b

We will convert equation to standard slope intercept form

i.e

Dividing equation by 2 both side

[tex]y = -1.5x -3[/tex]

So,

m = -1.5  

Hence, The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .

To know more about slope intercept form and intercepts here:

https://brainly.com/question/9682526

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