Nancy put new insulation in her attic and discovered that her heating bill for December decreased from $160 to $100. What is the percent decrease?
The amount of decrease is ______?

Answers

Answer 1

Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

$100 / $160 = .625 (62.5%)

So $100 is 62.5% of $160

To find the decrease we need to subtract 62.5% from 100%

100 - 62.5 = 37.5


Related Questions

Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks? (1 point)
O a
6+ w
.
b
6 + 5w
Oc
w
6
Od
бw

Answers

Answer:I don’t understand but I think it’s b

Step-by-step explanation:

Learn with an example

Felipe's lacrosse team will play in the Hickory Hills Tournament this weekend. They will
play 6 different teams, each with a 50% chance of winning. How likely is it that Felipe's
lacrosse team will win all 6 of their games?
Which simulation could be used to fairly represent the situation?
Flip a coin 6 times. Each time the coin lands on tails, it represents Felipe's
lacrosse team winning a game.
Create a deck of 6 cards, each labeled with a different number from 1 to 6.
Pick a card, then return it to the deck, 6 times. Each time a 6 appears, it
represents Felipe's lacrosse team winning a game.
Use a computer to randomly generate 6 numbers from 1 to 3. Each time 1 or
2 appears, it represents Felipe's lacrosse team

Answers

Answer:

50% chance that they will win each game..and there's 6 games... so 3!

Step-by-step explanation:

Trevor, Lucy, and james want to make a total of 50 paper airplanes. the table shows how many they have made so far. how many more paper airplanes do they need to make

Answers

you didn't show the pic

hope you understood...!!!

Answer the Graph based Question I will make Brainliest + 50 points​

Answers

Answer:

Here is the answer

Step-by-step explanation:

Brainlest me please

#a

Take one coordinate and solve

(-3,5)

So

y=x²-k5=(-3)²-k5=9-kk=9-5k=4

Take another

(-2,0)

So

y=x²-k0=(-2)²-k4-k=0k=4

Hence k=4

#b

Graph attached

#c

Turn to vertex form

y=x²-4y=(x-0)²-4

Compare to vertex form

y=a(x-h)²+k

So

Vertex(h,k)=(0,-4)

#d

At no intervals of x the graph decreases negatively

Because

a is positive (+1) parabola is opening upwards

#d

y=4-k²y=2²-k²y=(2+k)(2-k)

So if y be 0

x intercepts are

(-2,0) and (2,0)

Zeros are

-2 and 2

20 points



Divide f(x)2x³+3x²-4x-5 by g(x)x+2 and find quotient and remainder ​

Answers

⚠ANSWER⚠

f(x) = 2x³+3x²-4x-5

let x + 2 = 0

x = 2

f(x) = 2(2)*3 + 3(2)*2 - 4(2) - 5

= 2 × 8 + 3 × 4 - 4 × 2 - 5

= 16 + 12 - 8 - 5

= 15

↪Then the reminder is 15

...hope this helps...

__Mashi__

10)A shirt normally costs £42. If you receive a 15% discount, how much change will you get from £50? o £35.70 o £23.00 o £8.00 o £14.30​

Answers

Answer:

35.70

Step-by-step explanation:

because 15% of 42 is 6.3 and 6.3 - 42 = 35.70

The sum of three number is 14. The sum of twice the first number, 4 times the second number, and 5 times the third number is 41. The difference between 7 times the first number and the second number is 51. Find the three
numbers.

Answers

Answer:

The numbers are 8 , 5 , 1

Step-by-step explanation:

Let the three numbers be x,y,z

Sum of three numbere is 14

x +y + z = 14 ---------------(I)

The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.

2x + 4y + 5z = 41 -----------(II)

The difference between 7 times the first number and the second number is 51.

 7x -y = 51 ---------------(III)

Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.

(I)*(-5)        -5x - 5y - 5z = -70

(II               2x + 4y + 5z = 41   {Now add}

                -3x   - y          = - 29  ------------(IV)

Multiply (III by (-1) and then add it with equation (IV)

(III)*(-1)        -7x + y = -51

(IV)             -3x - y = -29   {Now add}

                 -10x     = -80

                          x = -80 ÷ (-10)

x = 8

Plugin x = 8 in equation (III) and we obtain the value of y

7*8 - y = 51

56 - y = 51

     -y = 51 - 56

    -y = -5

   y = -5 ÷ (-1)

y = 5

Plugin x =8 and y =5 in equaiton (I)

8 + 5 + z = 14

    13 + z = 14

         z  = 14 - 13

 z = 1

Consider the sequence below:
-4, 2, 8, 14, 20, …
What explicit expression can be used to find the term x of this sequence?

Answers

Answer:

n+6=x

Step-by-step explanation:

Each number is six more than the previous number.  Adding six to the previous number, n, gets us the next term in the sequence, x.

Question is on the screenshot.

Answers

Answer : Last option
Tanx =48/80


Tan(angle) = opposite/adjacent
Tanx = 48/80

60 = y-3 divided by 10

Answers

Answer:

y  = 60.3

Step-by-step explanation:

Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D

Answers

Yes, I guess so.

Hope this helps!

Answer:

yea actually what if she turned?- but yea its 0 so D

Step-by-step explanation:

Does Function A or Function B have a greater rate of change over the Interval x=2 to x-47 Justify and explain your choice. (Do you like that they can't see the point (4,?) in the graph? If not you can change the interval to x-1 to x=3)

Answers

Answer:

Function B

Step-by-step explanation:

Function Ax = 2 ⇒ y = - 4x = 4 ⇒ y = 6

Rate of change

(6 - (-4))/(4 - 2) = 10/2 = 5Function Bx = 2 ⇒ y = 2² + 1 = 5x = 4 ⇒ y = 2⁴ + 1 = 17

Rate of change

(17 - 5)/(4 - 2) = 12/2 = 6

Since 6 > 5, the function B has greater rate of change in the given interval

Answer:

Function B

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

  [tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  2 ≤ x ≤ 4

Therefore: a = 2 and b = 4

Function A

From inspection of the given table:

f(2) = -4f(4) = 6

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]

Function B

Given function: [tex]y=2^x+1[/tex]

[tex]\implies f(2)=2^2+1=5[/tex]

[tex]\implies f(4)=2^4+1=17[/tex]

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]

As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4


Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?

Answers

Answer:

6.25 years

(6 years 3 months)

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

A = final amountP = principalr = interest rate (in decimal form)t = time (in years)

Given:

A = $1,500P = $1,000r = 8% = 0.08

Substitute given values into the formula and solve for t:

⇒ 1500 = 1000(1 + 0.08t)

⇒ 1500 = 1000 + 80t

⇒ 500 = 80t

⇒ t = 6.25 years

Suppose a free medical test is given for a certain disease. The test is 90% reliable in the following sense: If a person has the disease there is a probability of 0,9 that the test will give a positive response; whereas, if a person does not have the disease, there is a probability of only 0,1 that the test will give a positive response. Data indicate that your chances of having the disease are only 1 in 10000. You decide to undergo the test and a few days later you learn that you had a positive response from the test. What is now the probability that you have the disease?​

Answers

P(Person has disease)=0.9P(Person doesn't have the disease)=0.1

Your chances of having the disease:-

1/100000.0001

So your current probability:-

0.0001(0.1)0.00001

Answer:

Step-by-step explanation:

[tex]\red{ \rule{0pt}{900000pt}}[/tex]

[tex]\red{ \rule{500pt}{900000pt}}[/tex]

Freemont Run Club surveyed a random sample of
30
3030 of their members about their running habits. Of the members surveyed,
9
99 said that they run more than
5
55 days a week. There are
84
8484 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than
5
55 days a week?

Answers

Answer:

24 for estimate, the accurate is 25.2

Step-by-step explanation:

surveyed total = 30

9 = run 5> days a week

84 = total members

9/30 = percent of members who run 5> days a week

9/30 => 3/10

percent of members who run 5> days a week * total members = number of members who run 5> days a week

3/10 x 84 = 25.2 members

84 = 80

3/10 x 80 = 24

24, a reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week.

Which comparison is correct?
0.29<0.279
1.32<1.319
0.420>0.42
3.544>3.455

Answers

Answer:

3.544>3.455

Step-by-step explanation:

This is because if you look at the numbers .5 is greater than (>) .4

simplify 3(r + 4) - 5r

Answers

Answer: 12-2r

Step-by-step explanation:

3r+12-5r

= -2r+12 or 12-2r

Answer:

-2r + 12

Step-by-step explanation:

simplify 3(r + 4) - 5r

3(r + 4) - 5r <== distribute first

3(r) + 3(4) - 5r

3r + 12 - 5r <== combine like terms

-2r + 12 <== final answer

Hope this helps!

Find the inner diameter of the washer.

Answers

The inner diameter of the washer is 7/10 inch, this value is gotten by multiplying the path by 2 and subtracting the result from the outer diameter

Mensuration of Shapes

Given Data

Outer Diameter = 1 inchPath Distance = 3/20 inch

The inner diameter

= Outer Diameter - 2*Path Distance

= 1 - 2*3/20

= 1- 6/20

= 1- 3/10

= 1/1 - 3/10

Find the LCM we have 10

= 10-3/10

= 7/10 inch

Learn more about shapes here:

https://brainly.com/question/25965491

Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour

Answers

Answer:

18000 m

Step-by-step explanation:

Hey there!

In order to solve this problem, we need to first know how many minutes are in an hour

As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times

So 9000 two times is 18000,

Meaning, in 1 hour, Sam will climb 18000 m

Answer:

18,000m in an hour

Step-by-step explanation:

We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.

what is the weight of a 55 kg person on earth where the acceleration due to gravity is 9.8m/s²​

Answers

Answer:

The weight of an object is the force of gravity exerted on that object. The mass of an object is the amount of matter it has, and it stays the same wherever you are, regardless of gravity.[1] That's why an object that has 20 kilograms of mass on earth also has 20 kilograms of mass while on the moon, even though it would only weigh 1/6 as much. It weighs 1/6 as much on the moon because the force of gravity on the moon is 1/6 of what it is on Earth.

Step-by-step explanation:

Answer:

your mother

Step-by-step explanation:

The logical answer would be your mother because 9.8m/s^2 x 55 would equal your mother weight,  539 squared pounds.

Mr. Oppong makes monthly payments into his savings account. He saved Gh¢800.00 in the second month, Gh¢3,200.00 in the third month and he continued in tha same proportion in subsequent months. In what month would his savings first exceed Gh¢20,000.00?​

Answers

Answer:

5th month

Step-by-step explanation:

the relationship between the second and third month is that the 2nd month's salary was multiplied 4 to get the third month's salary

therefore the salaries for the next months will be

4th month=Gh¢12800.00

5th month=Gh¢51,200.00 which exceeds 20,000

What is the area, in square feet, of the rectangle shown below​

Answers

Answer:

Step-by-step explanation I can answer if you pin in the pic below

Step by step I can answer if you put the pic below..

d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]​

Answers

Answer:

42

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

[tex]14\times 3\div 1[/tex]

______________________________________________

Calculate

[tex]14\times 3[/tex]

______________________________________________

Calculate the product or quotient

[tex]42[/tex]

I hope this helps you

:)

Find the value of k so that the quadratic inequality x² + 14x + k < 0 only for x is an element of [-11,–3]​

Answers

Answer:

x²+14x+33<0.

Step-by-step explanation:

1) according to the condition x=-11 and x=-3 are zeros of the function y=ax²+bx+c;

2) if -3;-11 are zeros, then (-3)*(-11)=c ( already a=1; b=14). Then

3) x²+14x+33<0.

Dianne has $0.95 in dimes and nickels . She has a total of 11 coins . How many of each kind does she have ?

Answers

Answer:

8 dimes and 3 nickels

Step-by-step explanation:

If we change $0.95 to $0.9 + $0.05, we get 9 dimes and 1 nickel. However, that is only 10 coins. We can then try 8 dimes and 3 nickels. When you add them up, they equal $0.95. Also, there are 11 coins in total. Therefore, 8 dimes and 3 nickels is the answer.

I hope this helps and please mark me as brainliest!

Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card, and 11 customers used a credit card. If next week, he is expecting 900 customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.

Answers

Answer:

268

Step-by-step explanation:

11/37=credit card

11/37=x/900

900 divided by 37=24.3

24.3 times 11=267.56

round it to 268

Each picture shows a figure and its reflection. Which picture shows the line of reflection?

Answers

Answer:

Bottom left

Step-by-step explanation:

The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

The picture that shows the line of reflection is the image in the bottom left. The correct option is C.

There are four pictures given in the image below A, B, C, and D.

In image A:

The line of reflection goes through the first image and therefore its reflection is not matched.

In image B:

The line of reflection B is available but there is no reflection image present.

In image C:

This picture shows a figure and its reflection.

In image D:

This picture shows a figure but this does not represent its reflection.

Therefore, the correct image is C.

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ3

What is a self portrait______
A. A portrait done by the artist of his or herself
B. An artistic photo of a group of people including yourself
C. A portrait of shelves
D. A selfie

Answers

option A

hope it helps...!!

Help with all questions in pictures please
Just put the answers please (ex: 1A 2C 3B. etc)
For question number 7 where it says (Which of the following images represents the polar graph of r = 4cos 2θ?) only two of the graphs are shown please if you can include a graph of the correct answer *70Points*

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Convert point Q to polar coordinates (accounting for correct direction):

[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]

Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A

Problem 2

Make polar substitutions:

[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]

Hence, the answer is C

Problem 3

Eliminate the parameter:

[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]

Hence, the answer is C

Problem 4

Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:

[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]

Thus, the correct answer is S

Problem 5

Use the formula for multiplying complex numbers in polar form:

[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]

Hence, the answer is A

Problem 6

Determine when the ball first hits the ground:

[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]

Determine the horizontal distance covered by the ball:

[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]

Hence, the best answer is C

Problem 7

The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.

From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.

Using proportions to solve for missing sides.
RST~YSZ, find YZ.

Answers

Answer:

  YZ = 28

Step-by-step explanation:

A proportion involving the known and unknown sides is ...

  TR/ST = ZY/SZ

__

This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...

  SZ +ZT = ST . . . . . . . segment sum theorem

  SZ + 5 = 40 . . . . with given values

  SZ = 35 . . . . . subtract 5

__

So, the proportion with values filled in is ...

  (3x -7)/40 = (2x +2)/35

  7(3x -7) = 8(2x +2) . . . . . . . multiply by 280

  21x -49 = 16x +16 . . . . . . . eliminate parentheses

  5x = 65 . . . . . . . . . . add 49 -16x

  x = 13 . . . . . . . . divide by 5

  YZ = 2x +2 = 2(13) +2

  YZ = 28

_____

Additional comment

RT = 3x -7 = 3(13) -7 = 32

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