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 a step by step explanation as well as work

Answers

Answer:

  x = 2

  m = 15/4

  a = 5/4

Step-by-step explanation:

When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.

We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.

  x/3 = 2/3   ⇒   x = 2

__

The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...

  a/3 = 5/(3+6+3) = 5/12   ⇒   a = 5/4 = 1 1/4 . . . . . multiply by 3

and

  m/(6+3) = 5/12   ⇒   m = 15/4 = 3 3/4 . . . . . multiply by 9

__

  x = 2

  m = 15/4

  a = 5/4

Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 28 1/3 inches of wire in all?​

Answers

Answer:

3

Step-by-step explanation:

Find the difference (6d+5) - (2-3d)

Answers

Answer:

(9d+3)

Step-by-step explanation:

(6d+5)-(2-3d)

>(6d+5)+(-2+3d)

>{(6d+3d)+(5-2)}

=(9d+3)

An angle measures 152° more than the measure of its supplementary angle. What is the measure of each angle?

° and
°


Answers

Answer:

14° and 166°

Step-by-step explanation:

Ok, so a supplementary angle is 180°.

Let's say one angle is x and the other angle is x+152.

We know these angles add up to a supplementary angle (180°) so...

x+(x+152)=180

x+x+152=180

2x+152=180

2x=28

x=14

So now we know one angle is 14°, we also know the other angle is x+152, knowing that x=14 we can plug it in 14+152= 166° for the other angle.

Hope this helps :)

Two supplementary angles when added together need to equal 180 degrees.
Let the first angle = X
The second angle would then be X - 152
Add them together to equal 180:
X + X - 152 = 180
Simplify:
2X -152 = 180
Add 152 to each side:
2X = 332
Divide both sides by 2:
X = 332 / 2
X = 166
The first angle = X = 166 degrees.
The second angle = X - 152 = 166 - 152 = 14 degrees.
The angles are 166 and 14

7(2+3x)+8, 12+3(8+x), and (7x+2)3+8x

Answers

Answer:

The first answer is 21x+22.

Second answer is 36+3x.

Third answer is 29x+6.

Step-by-step explanation:

I just simplified

The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.

Answers

Answer:

27.8%

Step-by-step explanation:

[tex]\frac{32.5}{45} =0.722[/tex]

0.722 = 72.2%

The % reduction is:

(100-72.2)% = 27.8%

Hope this helps

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

Answers

Answer:

what is your question ask then I shall answer you

Find the perimeter of the figure.

Answers

[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]

[tex]perimeter = 72 \: \: cm[/tex]

A researcher is interested in testing the perceived effort (PE) of runners under three different terrains. PE is measured on a scale that ranges from 0 to 15, where higher scores indicate greater effort. The three terrains were a running track (i.e. the control), a mostly flat sidewalk, and a hilly neighborhood. Participants were randomly assigned to only one type of terrain. What type of analysis should the researcher conduct

Answers

I don’t know i’m only in eighth grade

What are the length and width of a rectangular traffic sign if the length exceeds the width by 4 inches and the perimeter is 152 inches?

Answers

Answer:

L = 40

w = 36

Step-by-step explanation:

P = 2*L + 2*w

L = w + 4

w = w

P = 152

P = 2*(w + 4) + 2*w             Remove the brackets

P = 2w + 8 + 2w                  Combine and switch sides Use P = 152

4w + 8 = P

4w + 8 = 152                        Subtract 8 from both sides.

4w = 152 - 8

4w = 144                               Divide by 4

4w/w = 144/4                  

w = 36

L = w + 4

L = 36 + 4

L = 40

What is the correct unit rate?And what is Jessie's likely error?​

Answers

Answer:

4

Step-by-step explanation:

1[tex]\frac{1}{2} / \frac{1}{8} = \frac{1}{2} * \frac{8}{1} = \frac{8}{2} = 4[/tex]

she forget that fraction will reverse if it move below or up side, I think

Is the inequality 5-x^2<4 true for x=1?

Answers

5 - x² < 4

- x² < 4 - 5

- x² < - 1

=》x² < 1

Now, let's check with x = 1

x² < 1

(1)² < 1

1 < 1

1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.

_____

Hope it helps ⚜

−4 1/2÷(−2 2/3) i need help

Answers

Answer:

[tex]1\frac{11}{16}[/tex]

Step-by-step explanation:

Convert mixed numbers into improper fractions.

= [tex]\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}[/tex]

= [tex]\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}[/tex]

= [tex]\frac{\frac{9}{2}}{\frac{8}{3}}[/tex]

= [tex]\frac{9\cdot \:3}{2\cdot \:8}[/tex]

= [tex]\frac{27}{2\cdot \:8}[/tex]

= [tex]\frac{27}{16}[/tex]

Convert improper fraction into mixed number.

= [tex]1\frac{11}{16}[/tex]

the answer would be 1 11
-
16

QUESTION 4 PLEASE HELP ME ASAP

Answers

Answer:

Part 1: The entry fee is $5

Part 2: Each minute costs 25 cents

Step-by-step explanation:

In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.

Over a lengh of 101 inches the hight changes 5" what is the angle?

Answers

Answer:

  2.83°

Step-by-step explanation:

The tangent of an angle is the ratio of rise to run.

 θ = arctan(5/101) ≈ 2.83°

_____

We assume the length is referring to the horizontal distance.

If it is the distance along the path, then the angle is ...

  θ = arcsin(5/101) ≈ 2.84°

is it 90 IF NOT CAN SOMEONE TELL ME please

Answers

Answer:

90

Step-by-step explanation:

1000 + 500 = 1500mg (for 1 day)

1500 * 30 = 4500mg (1 month)

4500 : 500 = 90 tablets

How do u write x/7=14 in algebra tiles

Answers

Answer:

98 is the answer.

Step-by-step explanation:

x/7 = 14

=> 14 × 7 = 7 × x/7

=> x = 98

Therefore, 98 is the answer.

Hoped this helped.

Write an equation of the line passing through ​(-2​,1​) and ​(3​,2​). Give the answer in standard form

Answers

how do i delete my answer because apparently my answer is wrong so yes i don't know how to delete it so i'm just editing it and have a good day people

Answer:

y=[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

y=m-+x so y=slope+or-y-intercept

if Jenny buys 2 8-inch di|dos for 8$ then what is the total price

Answers

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

The coordinates of a square are (3,2), (8,2), (8,7), and (?,?)

Answers

Answer:

i don't know can u solve plz

Answer:

(3, 8)

Step-by-step explanation:

For this, draw a graph and locate the points. Then you can determine where the missing point should be to draw a square. Check out the graph I sent to understand what I'm talking about.

Find the least common denominator for these fractions. Enter your answer in
the space provided.
5/6
and
5/4

Answers

Answer:

LCD = 12

Equivalent Fractions with the LCD

5/6 = 10/12

5/4 = 15/12

Step-by-step explanation:

Rewriting input as fractions if necessary:

5/6, 5/4

For the denominators (6, 4) the least common multiple (LCM) is 12.

LCM(6, 4)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

5/6 = 5/6 × 2/2 = 10/12

5/4 = 5/4 × 3/3 = 15/12

I used a least common denominator calculator so I hope this helped!!

p(x)=x-3
g(x) = 2x-5
Find the following.
(p ° q)(5)= and (q ° p)(5)=

Answers

Answer:

  (p∘q)(5) = 2

  (q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

  (p∘q)(x) = p(q(x))

  (p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

  (p∘q)(5) = 2

__

  (q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

  (q∘p)(5) = -1

Can u help me with my homework

Answers

Ur dad Ur dad Ur dad

Help pllsssssss to find the vAlue of a

Answers

Answer:

a = 11

Step-by-step explanation:

As all angles on a straight line must add up to 180°:

(9a + 6) + 75 = 180

9a + 6 + 75 = 180

9a + 81 = 180

Subtract 81 from both sides of the equation:

9a + 81 - 81 = 180 - 81

9a = 99

Divide both sides by 9 to isolate a:

9a ÷ 9 = 99 ÷ 9

a = 11

Hope this helps!

Answer:

[tex]a=11[/tex]

Step-by-step explanation:

These are supplementary angles, meaning they together make up the whole measure of the angle of a straight line. A straight line is 180°, so the sum of these has to be 180° too:

[tex](9a+6)+75=180[/tex]

Then just solve for a:

[tex]9a+6+75=180\\9a+81=180\\9a=99\\a=11[/tex]

the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base

Answers

15 js the base of the rectangle because you find the area by doing length times width

Evaluate the integral:

Answers

Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then

∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt

… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt

… = 7 ∫ √(1 - sin²(t)) cos(t) dt

… = 7 ∫ √(cos²(t)) cos(t) dt

We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so

√(cos²(t)) = |cos(t)| = cos(t)

and the integral reduces to

… = 7 ∫ cos²(t) dt

Recall the half-angle identity for cosine:

cos²(t) = (1 + cos(2t))/2

Then the integral is

… = 7/2 ∫ (1 + cos(2t)) dt

… = 7/2 (t + 1/2 sin(2t)) + C

… = 7t/2 + 7/4 sin(2t) + C

Get the antiderivative back in terms of x. Recall the double angle identity for sine:

sin(2t) = 2 sin(t) cos(t)

We have t = arcsin(x/√7), which gives

sin(t) = sin(arcsin(x/√7)) = x/√7

cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7

Then

∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C

… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C

write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.

Answers

Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

What is the SSS Congruence Theorem?

The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.

We are given the following information:

AB ≅ EDCA ≅ CEAC bisects BD

Since AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.

Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.

Therefore,  ΔABC ≅  ΔEDC by SSS Congruence Theorem.

The two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

Learn more about the SSS Congruence Theorem on:

https://brainly.com/question/19262620

Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?

Answers

Answer: $3

Step-by-step explanation:

15 times .20 then subtract that from 15

Answer:

$3

Step-by-step explanation:

because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH

Um yeah so ignore the blue circles. I need your helpp ty <3

Answers

Answer:

where is the diagram u there is must must graphic of this or diagram

Answer:

15, 6,0, 11, 7

I'm not sure but hope it helps

Step-by-step explanation:

y=8+7

=15

y=-1+7

=6

y=-7+7

=0

y=4+7

=11

y=0+7

=7

How Much Percentage is 7 out of 45.99?​

Answers

Answer: 0.152207 %

Step-by-step explanation: divide the amount by the total to get the percentage.

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