the costs of two sound systems were decreased by $10. the original costs of the systems were $90 and $60. without calculating, which had a greater percent decrease? explain

Answers

Answer 1
         Without calculating we can say that the system with the original cost $60 ( the cheaper system ) had a greater percent decrease.
         This is because $10 is a greater percentage of $60 than it is of $90 ( if we calculate it is 16.66% in the first case and 11.11% in the second case).  

Related Questions

Which is not a way to solve 4÷15=n4÷15=n??

Answers

4/16=n lol thats not hard
4/16 that's not hurt we are learning this at school this semester

What percent of 77 is 7?

Answers

The value "7" is approximately 9.09 percent of the number "77".

To calculate what percent of 77 is 7, we need to find the proportion of 7 in relation to 77. The concept of percent is based on the idea of expressing a fraction of a whole as a value out of 100.

To find the percentage, we divide the given value (7) by the total value (77) and multiply by 100.

⇒ (7/77) × 100 = 0.0909 × 100 ≈ 9.09%,

Therefore, 7 is approximately 9.09% of 77. This means that 7 represents about 9.09% of the total value of 77. It reflects the proportion of 7 within the whole value of 77, expressed as a percentage.

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4x+5y=6 and 6x-7y=-20

Answers

I hope this helps you
Hello!!



If you are asking for how to make it into y=mx+b form:


4x + 5y = 6

5y / 5 = -4x+6/ 5

Answer: y= -4/5x + 6/5


6x - 7y = -20

-7y/-7 = -6x - 20/ -7


Answer: y= 6/7x +20/7




Hope this helps!!


In triangle abc, sin a = 2425. which other expression has a value of 2425?

Answers

cos b, I think this should help...               

72 divided by 9 4 x 4 =

Answers

72 / 9 = 8 
4 x 4 = 16

hope this helps you

Find the equations of all lines tangent to y = 9–x^2 that pass through the point (1, 12). ...?

Answers

Final answer:

The equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.

Explanation:

To find the equations of all lines tangent to y = 9 - x^2 that pass through the point (1, 12), we need to find the slope of the tangent line at the point (1, 12) and use it to form the equation of the line.

First, find the derivative of y = 9 - x^2 to get dy/dx = -2x.Substitute x=1 into dy/dx = -2x to find the slope of the tangent line at (1,12). In this case, the slope is -2.Next, use the point-slope form of a line and the given point (1, 12) to write the equation of the tangent line:

y - y1 = m(x - x1)

y - 12 = -2(x - 1)

Rewrite the equation in slope-intercept form:

y = -2x + 14

Therefore, the equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.

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convert 5/8 to percent notation

Answers

Hi , the answer is 62.5 percent , because 5 divided by 8 equals to 0.625 , then we move the decimal two spaces to the right .

We can multiply 5/8 directly by 100 and then simplify the fraction into a decimal or first convert the fraction to a decimal and then multiply by 100.
5/8 = 0.625
0.625 x 100 = 62.5%

54,625 written in expanded form

Answers

it would be 50,000 + 4,000 + 600 + 20 + 5

hope this helps you

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.

Answers

Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = [tex] \frac{3*r*pi}{2*105} [/tex]

v = r* pi/70

If we take that r = 1 answer is [tex] \pi /70[/tex]

Write a function rule for the area A of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area of the triangle when the height hits 16 cm.
A. 4h^2-5h;944cm^2
B. 4h-5/2; 29.5***********
C. 4h^3-5h/2; 427
D. 4h-5; 59cm

I think it is B

Answers

i hope this helps you

Lamar bought 20 pounds of dog food for $4.99 for his dog, Buster. The next day, the shop down the street offered 50 pounds of the same brand of dog food for $12.50. Did Lamar get a better deal? ...?

Answers

To calculate what is better deal we need to calculate how much 1 pound of dog food costs at both shops.

First shop:
4.99/20 = 0.2495$/pound

Second shop:
12.50/50 = 0.25$/pound

This means that first shop had slightly better deal since at that place pound was a bit less expensive.

(x+f)+2=j solve for x ...?

Answers

(x + f) + 2 = j    subtract 2 from both sides

x + f = j - 2       subtract f from both sides

x = j - f - 2

Round off 0.065 to one significant figure

Answers

I think what you are wanting id 0.1 is that rounded to one significant figure

so the significant figure is 0 

Proof that x^y + y^x > 1 for all x,y > 0 ...?

Answers

To prove this inequality we need to consider three cases. We need to see that the equation is symmetric and that switching the variables x and y does not change the equation.

Case 1: x >= 1, y >= 1

It is obvious that

 x^y >= 1, y^x >= 1
 x^y + y^x >= 2 > 1
 x^y + y^x > 1

Case 2: x >= 1, 0 < y < 1

 Considering the following sub-cases:

  - x = 1, x^y = 1
  - x > 1,

    Let x = 1 + n, where n > 0

    x^y = (1 + n)^y = f_n(y)

    By Taylor Expansion of f_e(y) around y = 0,

    x^y = f_n(0) + f_n'(0)/1!*y + f_n''(0)/2!*y^2 + ...
        = 1 + ln(1 + n)/1!*y + ln(1 + n)^2/2!*y^2 + ...

    Since ln(1 + n) > 0,

    x^y > 1

  Thus, we can say that x^y >= 1, and since y^x > 0.

  x^y + y^x > 1

  By symmetry, 0 < x < 1, y >= 1, also yields the same.

Case 3: 0 < x, y < 1

  We can prove this case by fixing one variable at a time and by invoking symmetry to prove the relation.

  Fixing the variable y, we can set the expression as a function,

  f(x) = x^y + y^x
  f'(x) = y*x^(y-1) + y^x*ln y 
  For all x > 0 and y > 0, it is obvious that
  f'(x) > 0.

  Hence, the function f(x) is increasing and hence the function f(x) would be at its minimum when x -> 0+ (this means close to zero but always greater than zero). 

  lim x->0+ f(x) = 0^y + y^0 = 0 + 1 = 1

  Thus, this tells us that 

  f(x) > 1.

  Fixing variable y, by symmetry also yields the same result: f(x) > 1.

  Hence, when x and y are varying, f(x) > 1 must also hold true.
    Thus, x^y + y^x > 1.

We have exhausted all the possible cases and shown that the relation holds true for all cases. Therefore, 

  x^y + y^x > 1


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

I have to give credit to my colleague, Mikhael Glen Lataza for the wonderful solution.


I hope it has come to your help.

Determine which choice best shows the distributive property of multiplication.

Answers

I think that the answer is A.

The distributive property is demonstrated best by equations in the form a(b + c) = ab + ac. The correct choices that illustrate this property are: 1. C, 2. B, 3. A, 4. A, 5. A, 6. B, 7. C, and 8. C.

To determine which choice best shows the distributive property of multiplication, we need to find the equation that demonstrates the format a(b + c) = ab + ac. This property states that you can distribute the multiplication over addition inside the parentheses.

1 Correct choice: C. (7 × 2) + (7 × 4) = 7 × (2 + 4)

2 Correct choice: B. (7 × 3) + (7 × 2) = 7 × (3 + 2)

3 Correct choice: A. (2 × 10) + (2 × 8) = 2 × (10 + 8)

4 Correct choice: A. (9 × 4) + (9 × 5) = 9 × (4 + 5)

5 Correct choice: A. 2 × (3 + 5) = (2 × 3) + (2 × 5)

6 Correct choice: B. 9 × (3 + 7) = (9 × 3) + (9 × 7)

7 Correct choice: C. 5 × (4 + 6) = (5 × 4) + (5 × 6)

8 Correct choice: C. (2 × 6) + (2 × 0) = 2 × (6 + 0)

This demonstrates the distributive property effectively.

Complete question:

Determine which choice best shows the distributive property of multiplication.

1) A. 7 × 1 = 7, B. 7 × 2 = 2 × 7, C. (7 × 2) + (7 × 4)=7 × (2 + 4), D. (7 × 2) × 4 = 7 × (2 × 4)

2) A. (7 × 3) × 2 = 7 × (3 × 2), B. (7 × 3) + (7 × 2) = 7 × (3 + 2), C. 7 × 1 = 7, D. 7 × 3=3 × 7

3) A. (2 × 10) + (2 × 8) = 2 × (10 + 8), B. (2 × 10) × 8 = 2 × (10 × 8), C. 2 × 1 = 2, D. 2 × 10 = 10 × 2  

4) A. (9 × 4) + (9 × 5) = 9 × (4 + 5), B. (9 × 4) × 5 = 9 × (4 × 5), C. 9 × 1 = 9, D. 9 × 4 = 4 × 9

5) A. 2 × (3 + 5) = (2 × 3) + (2 × 5), B. 2 × 3 = 3 × 2, C. 2 × (3 × 5) = (2 × 3) × 5, D. 1 × 2 = 2

6) A. 9 × (3 × 7) = (9 × 3) × 7, B. 9 × (3 + 7) = (9 × 3) + (9 × 7), C. 9 × 3 = 3 × 9, D. 1 × 9 = 9

7) A. 5 × (4 × 6) = (5 × 4) × 6, B. 1 × 5 = 5, C. 5 × (4 + 6) = (5 × 4) + (5 × 6), D. 5 × 4 = 4 × 5

8) A. 2 × 1 = 2, B. 2 × 6 = 6 × 2, C. (2 × 6) + (2 × 0) = 2 × (6 + 0), D (2 × 6) × 0 = 2 × (6 × 0)

Divide £42 in a ratio of 4:6

Answers

4:6
4+6 =10

£42 / 10 = £4.20

£4.20 * 4 = £16.80
£4.20 * 6 = £25.20

Please make this answer the brainiest!

Explanation on dividing £42 in the ratio of 4:6 into two parts accurately.

Divide £42 in a ratio of 4:6:

Calculate the total parts in the ratio, which is 4 + 6 = 10.

Divide £42 by 10 to find the value of one part: £42 ÷ 10 = £4.20.

Multiply £4.20 by the parts in each ratio: £4.20 x 4 = £16.80 for the first part (4 parts),

£4.20 x 6 = £25.20 for the second part (6 parts).

What value(s) of x make the equation x2 - 18x + 81 = 0 true?

Answers

We can factorise this to get (x-9)(x-9). To find the value, each bracket needs to equal 0, so the value would be x=9

Answer:

9

Step-by-step explanation:

Find w(4) for the function w(x) = 3x + 7.

Answers

w(4) = 3(4) + 7
w(4) = 12 + 7
w(4) = 19
3(4) + 7
12 + 7
19

anything 2 ask please pm me

The formula to find the area of a triangle is

A = ½bh. Solve the formula for h.

Answers

Okay so try rearranging the formula:
First multiply both sides by 2:
2A=bh
Then divide both sides by b:
[tex] \frac{2A}{b} [/tex] = h
is there a certain formula

Choose two axioms that allow 6 + (x + 5) to be written x + 11.
A) commutative - addition
B) distributive
C) associative - multiplication
D) symmetric
E) commutative - multiplication
F) associative - addition
G) identity - addition

Answers

associative means that you can move the parenthesis around the problem and still get the same answer. like (4+2)+3=4+(2+3)
first & sixth are the true

Basic number properties:

The Distributive Property: [tex]a\cdot (b+c)=a\cdot b+a\cdot c;[/tex]The Associative Property for addition: [tex]a+(b+c)=(a+b)+c;[/tex]The Associative Property for multiplication: [tex]a\cdot (b\cdot c)=(a\cdot b)\cdot c;[/tex]The Commutative Property for addition: [tex]a+b=b+a;[/tex]The Commutative Property for multiplication: [tex]a\cdot b=b\cdot a;[/tex]Identity Property : Any number add to the zero the answer is the number itself;The symmetric property states that if one number is equal to a second number, then the second number is equal to the first number.

For the expression 6 + (x + 5):

use The Commutative Property for addition - 6+(x+5)=(x+5)+6;use The Associative Property for addition - (x+5)+6=x+(5+6)=x+11.

Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.

Answers

Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

What did you include in your response? Check all that apply.

Louise is missing the term 30x3.


Louise could have used the formula for a perfect square trinomial.

Louise squared each term in the binomial rather then using the distributive property.

Using the square of the sum notable product, it is found that Louise's answer is not correct, as she forgot to add the multiplication of 2 by both terms.

What is the square of the sum notable product?

It is represented by the following relation:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

Hence, for Louise's expression, we have that:

[tex](5x^3 + 3)^2 = (5x^3)^2 + 2(5x^3)(3) + 3^2 = 25x^6 + 30x^3 + 9[/tex]

She forgot the middle term, hence her answer is not correct.

More can be learned about the square of the sum notable product at https://brainly.com/question/21285275

**URGENT HELP???!!!*

Suppose that b(x) varies directly with x and b(x) = 4325 when x= 25.

What is b(x) when x =19?

A.) 4325
B.) 3287
C.) 173
D.) 9.1

I can't remember how problems like these are suppose to go and how to write them out, could you tell me how you got the answer once you get it. Thanks ;)

Answers

answer is B.) 3287
hope that helps
..................................

4325/25 = 173

173 * 19 = 3287

Answer:

B.3287

Step-by-step explanation:

We are given that

b(x) varies directly with x.

b(x)=4325 when x=25

We have to find the value of b(x) when x=19

According to question

[tex]b(x)\propto x[/tex]

[tex]b(x)=kx[/tex]

Where k=Proportionality constant

Substitute the values then we get

[tex]4325=k(25)[/tex]

[tex]k=\frac{4325}{25}=173[/tex]

[tex]k=173[/tex]

Now, substitute the value of k then, we get

[tex]b(x)=173 x[/tex]

Substitute the value of x=19

Then, we get

[tex]b(x)=173 \times 19=3287[/tex]

Hence, option B is true.

Susan wants to make 2 square flags to sell at a crafts fair. The fabric she wants to buy is 3 meters wide. She doesn't want any fabric left over. What's the least amount of fabric she should buy?

Which equation will help Susan solve her problem?
Let x= the length of one side of the flag.

A.) 3x^2-2x=0
B.) 2x^2=3x
C.) 2*2=3*2
D.) 6+2x=2(4x)

Answers

  B the smallest piece of cloth that she can make two squares from is one that is two squares wide. So if twice the width of the square is the width of the cloth.The right side of the equation could be clearly written as 2(x^2) to keep it from being confused with (2x)^2.

btw LOVe your profile pic

Answer:

Option. B) 2x² = 3x

Step-by-step explanation:

Susan wants to make 2 square flags to sell at a craft fair.

She wants to buy a fabric of 3 meters wide. She doesn't want any fabric left over.

It means area of fabric purchased should be same as area of the flags.

Since x = length of one side of the flag

So area of one flag = x² meter²

Area of 2 flags = 2x² meter²

Area of the fabric = length × width

Area of fabric = x.3 = 3x

Now as per question both the areas should be same

2x² = 3x

Option B. is the correct option.

Saturated hydrocarbons are relatively unreactive except in the presence of _____.

high temperatures and oxygen
other alkanes
alkenes
oxygen

Answers

Answer: high temperatures and oxygen

Answer:

Saturated hydrocarbons are relatively unreactive except in the presence of high temperatures and oxygen.      

Step-by-step explanation:

we have to choose the option in which saturated hydrocarbons react.

Saturated hydrocarbons do contain double and triple bonds that make molecule reactive. They only contains sigma bonds, which are very stable and difficult to break and hence these are unreactive.

In saturated hydrocarbons the percentage of carbon is lower which gets easily oxidised in oxygen of the air to form [tex]CO_2[/tex] completely.

Saturated hydrocarbons are generally unreactive, but when exposed to high temperatures and oxygen they react in a combustion reaction to produce Carbon Dioxide and Water.

Hence, Saturated hydrocarbons are relatively unreactive except in the presence of high temperatures and oxygen.

Option option 1 is correct.

A school soccer team has just purchased new uniforms. The team now has 2 different colors of shorts (white and red) and 3 different colors of shirts (white, red, and gold).

How many different uniform combinations are there? ...?

Answers

Basic combinations are calculated with
number of shorts * number of shirts = 2 * 3
so the answer will be 6.

Convert 0.84 into a simplified fraction

Answers

100÷84
Or
84 upon 100
Maybe the answer is correct

∠A∠A and ​ ∠B∠B ​ are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

Answers

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or  5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1


For the past 5 years, Frank and Peggy have deposited $15,000 in a retirement account with a simple interest rate of 7%. They plan to continue to make annual deposits for the next 20 years. Explain how their money will grow over time. Note: You do not need to extend their entire savings for 25 years in your explanation. Focus on the earning for the first several years and explain how their money will grow.

Answers

For the period total interest=prt,,15000*5*0.07=5250.
For the second period total interest=15000*20*0.07==21,000

The sum of the measures of the interior angles of a triangle is equal to A. 90 B.180 C. 270 D. 360

Answers


The sum of Interior Angles is 180 degrees
It will = B. 180 degrees in a triangle.

What is the prime factorization of 19??

Answers

19 is already a prime number......so ur answer would be 19 or 19 x 1

The prime factorization of 19 is 19, as it is a prime number and can only be divided by 1 and itself.

To determine the prime factorization of a number, we identify all the prime numbers that multiply together to give the original number. In the case of 19, we need to check if it can be divided by any primes (like 2, 3, 5, 7, 11, 13, 17).

After testing, we find that 19 is only divisible by 1 and itself, making it a prime number. Therefore, the prime factorization of 19 is simply 19.

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