The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about ​14.29%. What is the correct percent​ decrease? What error did Adam likely make when finding the percent​ decrease? The correct percent decrease is 25 25​%. What error did Adam likely​ make? A. divided the difference of the two quantities by the sum of the two quantities. B. divided the difference of the two quantities by the product of the two quantities. C. divided the difference of the two quantities by the new quantity. D. divided the new quantity by the original quantity.

Answers

Answer 1

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

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

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

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

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

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

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.


Related Questions

Solve:
10c + 20 = 40
c =

Answers

C= 2


...................................
The correct answer is 2.

Step 1: in order to solve an equation, you need to isolate the variable. Meaning, you need to get it by itself In this case, the variable is c. So, what you will do is subtract 20 on both sides of the equation and you should end up with 10c=20.

Step 2: We still need to get c by itself so, we have to do the inverse operation of multiplication, which is division. We then divide 10 on both sides of the equation. The answer you should come up with is c=20

Hope this helps! Have a great day/night:)

I need help please somebody answer ASAP please I’d highly appreciate it

Answers

Answer:

2.(b) w= 3

3. x= -3 or x= 3

Step-by-step explanation:

2.(b) Method 1:

[tex] \frac{2w - 1}{5} + w + 2 = 2w \\ \frac{2w - 1}{5} = 2w - w - 2 \\ [/tex]

Simplify:

[tex] \frac{2w - 1}{5} = w - 2[/tex]

×5 on both sides:

[tex]2w - 1 = 5(w - 2)[/tex]

Expand:

[tex]2w - 1 = 5w - 10[/tex]

Bring constants to 1 side, w terms to the other:

[tex]5w - 2w = 10 - 1[/tex]

Simplify:

[tex]3w = 9[/tex]

Divide both sides by 3:

[tex]w = 9 \div 3 \\ w = 3[/tex]

Method 2:

[tex] \frac{2w - 1}{5} + w + 2 = 2w[/tex]

Multiply by 5 throughout:

[tex]2w - 1 + 5(w + 2) = 5(2w)[/tex]

Expand:

[tex]2w - 1 + 5w + 10 = 4w[/tex]

Simplify:

[tex]7w - 9 = 4w[/tex]

+9 on both sides:

[tex]7w = 4w + 9[/tex]

-4w on both sides:

[tex]7w - 4w = 9[/tex]

Simplify:

[tex]3w = 9[/tex]

Divide by 3 on both sides:

[tex]w = 3[/tex]

3. [tex] \frac{6x - 12}{3} + 4 = \frac{18}{x} [/tex]

Multiply by 3x on both sides:

[tex] \frac{3x(6x - 12)}{3} + 3x(4) = \frac{3x(18)}{x} \\ x(6x - 12) + 12x = 3(18)[/tex]

Expand:

[tex]x(6x) - x(12) + 12x = 54 \\ 6x^{2} - 12x + 12x = 54 \\[/tex]

Simplify:

[tex]6 {x}^{2} = 54[/tex]

Divide by 6 on both sides:

[tex] {x}^{2} = 9[/tex]

-9 on both sides:

[tex] {x}^{2} - 9 = 0[/tex]

Factorise:

*Since a²-b²= (a +b)(a -b),

[tex] {x}^{2} - {3}^{2} = 0 \\ (x + 3)(x - 3) = 0[/tex]

Thus,

x +3= 0 or x -3= 0

x= -3 or x= 3

Answer:

w = 3

Step-by-step explanation:

(6x-12)/3 + 4 = 18/x

Simplify fraction

2x -4 +4 = 18/x

Combine -4+4=0 Divide by 2 to reduce

x = 9/x

Multiply both sides by x

x² = 9

x = 3, -3

Yo can someone help me out

Answers

Answer:

Your answer is 3,947 ÷ 45 = 87 r 32

Hope this Helps

<3

the second option :)

explain why the product of two negative integers is not negative. Use (-1) ·(-1)as an example

Answers

It will be 1, since a negative and a negative changes into a positive.

The product of two negative integers is not negative because multiplying two negative numbers always gives positive result.

What is multiplication?

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.

The result of a multiplication operation is called a product.

So, to prove product of two negative integers is not negative

Taking the example of (-1) ·(-1).

Now since multiplying two negative numbers always gives positive result.

Thus, (-1) ·(-1) = +1

which is not negative.

Thus, the product of two negative integers is not negative because multiplying two negative numbers always gives positive result.

To learn more about multiplication:

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can u help me and ty :)

Answers

Answer:

$308

Step-by-step explanation:

Let x=hourly pay

5x=70

x=14

22(14)

=308

Answer:

$308

Step-by-step explanation:

Let the amount earned be a

and hours be h

a ∝h

a = kh where k is the constant

if $70.00 is earned in 5 hours,

70 = 5k

k = 70/5

k = 14

For 22 hours, it is

a = kh

a = 14 × 22

a = 308

Find the product: (-8)(-6) =

Answers

+48 or just 48 as the minus signs as they are multiplied they are cancelled and then we are left with 6 x 8 that is 48

Hi! (-8)(-6) can also be written as -8 × -6. Ignore the negative signs for now.

8 × 6 = 48.

When two negative numbers are multiplied together, the answer is always positive. Think of it as two negative signs (-) make a positive sign (×) when put together.

The answer is -48.

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

I hope this helps you! Good luck and have a great day. ❤️✨

Select all the correct answers.
Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?
4t + 4c + 3s
4t + 4c + 4s
4(t + c) + 3s
4(t + c + s)
t + c + s
t + c + 3s

Answers

Answer:

4c + 4t + 3s = total number of legs

Step-by-step explanation:

4=6-2m
help me babes!

Answers

Answer:

tbh idek bro good luck.... its 33

The temperature at a mountain base camp was −3 degrees Celsius on Monday. Tuesday morning, the temperature was 2 degrees Celsius lower than what it was on Monday. By Tuesday evening, the temperature was 4 degrees Celsius lower than what it was that morning. What was the temperature at the base camp Tuesday evening?
−9 degrees Celsius
−6 degrees Celsius
−5 degrees Celsius
−1 degree Celsius

Answers

Answer: -9 degrees Celsius

Step-by-step explanation: You subtract two degrees from -3 and get -5 (-3-2=-5). Then, you subtract 4 degrees from -5 and get the answer of -9 degrees Celsius.

The temperature on Monday was -3 degrees Celsius. Tuesday it was 2 degrees lower meaning it was
-5 degrees Celsius. On Tuesday evening the temperature was 4 degrees Celsius lower than it was in the morning meaning it was -9 degrees Celsius on Tuesday evening.

PLZ HELP I HAVE NO IDEA

Answers

Answer:

Sorry, I only figured out one.

3 = 21 divided by 7

Step-by-step explanation:

12+7+12=31
11+11+11=33
12+11+12+11=46


Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

with what

Step-by-step explanation:

why did you scribble out everything?

Answer:

-12, -14, 11, 10

Step-by-step explanation:

plz help ASAP giveing brain list thx and u get points

Answers

The correct answer would be A
Answer would be A because it’s to long explain I can send you the sheet with the work on it if u want

Use the model to solve for x.
Please help me I will give out extra points and the brain thing.

Answers

Answer:

x = 7/3

Step-by-step explanation:

3x - 2 =5

Add 2 to each side

3x-2+2 = 5+2

3x = 7

Divide by 3

3x/3 = 7/3

x = 7/3

Answer:

x = 7/3

Step-by-step explanation:

So there's 3 x's, two -1s and 5 +1s.

3x + (2 * -1)  = (5 * 1)

Multiply 2 times -1 and 5 times 1.

3x - 2 = 5

Add 2 to both sides (to cancel out the minus 2.)

3x - 2 + 2 = 5 + 2

3x - 0 = 7

3x = 7

Now, divide both sides by 3 to get the x by itself (so you end up with x = something).

(3x)/3 = 7/3

3/3 simplifies to 1 so you end up with:

x = 7/3

Please mark as Brainliest! :)

A master baker can fill a big order in 6 hours. A student baker can fill the same order in 8 hours. They start working together, and after 2 hours, the student leaves and the master baker finishes the work alone. How long will it take him to finish the order?

Answers

I think it is 4

:)

hope this helps

Answer:

2 hrs and 30 min

Step-by-step explanation:

At a movie theater, the ratio of filled seats to empty seats is 6 : 5. There are

120 empty seats. How many seats are filled?

Answers

144 seats are filled in the movie theater
144 seats are available

Norma bought a plastic bag that contains 100 balloons. The label on the bag says that there are 20 each of blue, yellow, red, green, and orange balloons. Norma will take one balloon from the bag at random. What is the probability that the balloon will be either red or blue?

A)3/2
B)2/3
C)3/5
D)2/5

Answers

Answer:

d

Step-by-step explanation:

ur welcome plz mark brainliest

2/5 t is the probability that the balloon will be either red or blue.

Thus option A is correct.

What is probability?

The mathematical discipline known as probability specializes in determining the possibility of an event occurring. Probability, which expresses the probability of a risk, is calculated by dividing the total possible combinations by the frequency of favorable events. Composite reliabilities vary from 0 to 1, with 1 representing certainty and 0 representing hesitation.

The probability of the event will be taken as

The fact that the data of red and blue will have a chance of occurring in the event

The first draw chance would be 20/100 = 1/5

The second draw would be 20/100 = 1/5

P = 20 / 100 + 20 / 100

P = 1/5 + 1/5

P = 2/5

Therefore, option D is the correct option.

Learn more about probability, Here:

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4 + x more than -12
Please help ;-;

Answers

Answer:

any number more than 0 including 0

Step-by-step explanation:

Answer:

It's 0,

Step-by-step explanation:

Why because 12 is less then if your were going to create a line and 0 is going to be in the middle, that shows in that case 12 is going to be on the left side of the 0 because 12 is a positive number and 0 is not.

What the slope is, and if it's a fraction it needs to be simplified.

Answers

The slope of this graph is 3/2

Answer:

3/2

Step-by-step explanation:

The equation for slope is y/x.

This does not need to be simplified because you don't want a decimal when using slope. To find the slope pick an x value and its corresponding y value

Given the following expression:

2x−13−3x+74

Which of the following is equivalent to the expression?


A)x+8

B)−x−2512

C)5x−114

D)−x+1712

Answers

2x-13-3x+74 x+8 is your answer

Answer

Step-by-step explanation:  it would be A). x+8

PLZ HELP NEED NOW! I WILL GIVE BRAINLIEST TO FASTEST PERSON WITH WORK!
how do you change y – 5 = - (x – 1) into slope intercept form?

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Slope intercept form is y = mx + b.

So distribute the negative sign on the right side to get:

y - 5 = -x +1

Then  add the 5 on the left side to both of the sides to get y alone, then you will get:

y = -x +6

That is in slope intercept form.

Y=-x+6 plz give me brainlist :(

5 pounds of grapes cost $7. How much would it cost to buy 1 pound of grapes? (show your work)
A. $0.70
B.$1.25
C.$1.40
D.$1.50

Answers

Answer:

the answer would be c based on the proportional value

Answer:1.25

Step-by-step explanation:because tbh id ont know the work but my teacher showed me this

Which set of measurements will form a unique triangle?


angle measures of 45°, 45°, 90°

angle measures of 60°, 60°, 60°

side measures of 20 cm, 20 cm, 20 cm

side measures of 1 cm, 1 cm, 100 cm

Answers

Ok I can go home to go skate and then woowowowowowo owill to get the kids home
60,60,60 because it

Bilk is driving on a freeway to visit his friend.
He has been driving at a constant speed for
the last hour. If Birk is traveling at a speed of
60 miles per hour, which equation best
represents the relationship between time in
hours, t, and the distance in miles, d?
A d = 60t
B t = 600
c d = t + 60
D t = d + 60

Answers

Answer:

The answer is a i believe

Step-by-step explanation:

the answer is D ...........

A construction worker has a rope that is 4 feet long.He needs to cut it into pieces that are each 2/3ft long.How many such pieces can he cut without having amy rope leftover?

Answers

Answer:

6

Step-by-step explanation:

4 / 2/3

Think of it like this.

4 / 2/3 (if this were in fraction form)

4 * 3/2 (Reciprocal)

12/2

6

The answer is 6.
We’re talking about fractions.

Julie figures that she will need at least 540 Marks (German money) to get the items she wants when visiting Germany. Give an estimating example of how Julie could guarantee herself of having at least 540 Marks. Show and explain your example below.

Answers

having at  least 636.47  to exchange to 540 marks

The estimated money Julie should carry with herself is $572.64

What is estimation?

Estimating in maths is a way of approximately calculating an answer or to check its accuracy.

Given that, Julie figures that she will need at least 540 Marks (German money) to get the items she wants when visiting Germany.

To find how much currency she should carry, we will convert the US currency into German currency

$1.06 = €1

Therefore, €540 = 1.06x540 = $572.64

Hence, The estimated money Julie should carry with herself is $572.64

For more references on estimation, click;

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Which equation can be used to find the unknown length, a, in this triangle?

Answers

Answer:

..A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)..

Step-by-step explanation:

Answer:A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)  

Step-by-step explanation:

didnt you already ask us this ?!

what is the percent change from $54.00 to $38.79?? I WILL MARK YOU AS BRAINLIEST

Answers

Answer:

28.166666666667%

Swag one g wag one piff ting whats ur bbm ping

hi can anyone help me with this please ​

Answers

Answer:

Mary is adding - 2

Step-by-step explanation:

Mary is adding - 2 to - 2 but instead she is supposed to be multiplying - 2 to - 2

What is the difference 5/8 - 3/4 = 5/8 - 6/8 = ______ HELP ME FAST

Answers

Answer:
- 1/8
Step-by-step explanation:
5/8 - 6/8
Just consider the numerators (exclude the 8's),
5 - 6 = -1
Now substitute it with the same denominator 8.
-1/8

Answer:

There is no difference/they are the same

Step-by-step explanation:

5/8 is the same as 5/8

3/4 is the same as 6/8

3 *2 = 6

__      _

4*2 = 8

(2/2 = 1)

The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen?

$0.57
$1.75
$5.50
$6.50

Answers

The answer would be B. $1.75
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She realized she was surrounded by a dense, smoky fogas thick as soup and as gray as a battleship. She couldn't see the family's cabin behind her or the other side of the lake in front of her. She knew the fog would burn off as the sun rose, and then she would be able to find her way home, but for now she would have to wait. It gave her time to think. The fog made her feel invisible, which was not a new or unpleasant feeling for her. Being ignored meant she could get lost in thoughts about the barn where she took riding lessons and helped muck out the stalls. Sofia loved the horses' personalities and felt as though she could communicate with them. Her closest friends were the other barn kids who, like her, hung around the horses as often as possible. She planned to be an equine veterinarian someday. 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