Mathematics Middle School

A store increases the price of a sweater from $20 to $22.

What is the percent of increase?

Answers

Answer 1
%2. hope that helped
Answer 2

Answer:

The percent increase is [tex]\(10\%\).[/tex]

Explanation:

To find the percent increase, we use the formula:

[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]

Given:

- Original price = $20

- New price = $22

Substitute these values into the formula:

[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]

[tex]\[\text{Percent Increase} = \left( \frac{2}{20} \right) \times 100\%\][/tex]

[tex]\[\text{Percent Increase} = \left( 0.1 \right) \times 100\%\][/tex]

[tex]\[\text{Percent Increase} = 10\%\][/tex]

So, the percent increase is [tex]\(10\%\).[/tex]

Related Questions

identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7

Answers

The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2
Final answer:

The terms in the expression - x - 9x*2 + 12x*2 + 7 are -x, -9x*2, +12x*2, and +7. The like terms in the expression are -9x*2 and +12x*2. The terms -x and +7 are not like terms.

Explanation:

In the expression - x - 9x*2 + 12x*2 + 7, the terms are:

-x-9x*2+12x*2+7

The like terms are the terms that have the same variable and exponent. In this expression, the like terms are -9x*2 and +12x*2, since they both have the variable x raised to the power 2. So, the like terms are -9x*2 and +12x*2.

The terms -x and +7 do not have the same variable or exponent, so they are not like terms.

Learn more about terms and like terms here:

https://brainly.com/question/29169167

#SPJ2

simplify.
-5 ( x - 3) + 2 ( a - 9)
-5x + 2a + 33
-5x + 2a + 4
-5x + 2a - 33
-5x + 2a - 4

Answers

Answer:


Step-by-step explanation:

-5(x+3) + 2(a-3

-5*x =-5x

-5*3= -15

2*a=2a

2*9=18

-15+18=3

so the answer is -5x+2a-3

what is 3/4 of 1/3 of a mile ???

Answers

3/4 of 1/3 of a mile is .25 of a mile
That is 0.25 of a mile, which is 440 yards.

Can someone please help me with this math problem?? Number 13

Answers

a. 1x1 = 1 in
b. 0.5 x 0.5 = 0.25 in
c. 0.25 + 0.25 + 0.25 = 0.75 in
1x1=1 in.²
1/2x1/2=1/4 in.²
1-1/4=3/4 in²

4sin theta + 3 square root of 3 = square root of 3

Answers

Solving for θ:

4sinθ + 3√3 = √3

First subtract 3√3 from both sides:

4sinθ = -2√3

Now, divide by 4:

sinθ = (-2√3)/4
sinθ = -√3/2

Using the unit circle we know that sin of -√3/2 is 240° or 4/3π and 300° or 5/3π

Hope this helps!


Mary buys a dress and a pair of shoes. Before adding the tax she pays $ 48 for the dress which normally sells for $ 62, and she pays $ 34 for the shoes which normally sell for $46.

Answers

Hello! I can help you with this!

a. To find out how much Mary saved, we will have to subtract the sale price from the original price, and then add up the difference to find how much she saved. 62 - 48 is 14. 46 - 34 is 12. 14 + 12 = 26. Mary saved $26 by buying at the sale item price.

b. To find the amount of discount, we can write and solve a proportion, by setting it up like this: change/original = x/100. Change is the distance between two numbers and the original is the previous price. If you know about proportions, you cross multiply the values, and then divide each side by a number to isolate "x". If you solve each proportion correctly, here are your answers for each item:

Dress: ≈ 23% discount
Shoes: ≈ 26% discount

c. Okay. So when we add up the sales prices together, 48 + 34 is 82. In order to find the total amount with tax, we multiply the sale price, by (1 + r). In other words, add 1 to the rate in decimal form and multiply it by the total of the sales price. 82 * 106.5% (1.065) is 87.33. Mary paid a total of $87.33.

Gordon read 18 pages of a book in 40 minutes. What was the unit rate per minute? Per hour?

Answers

18 pgs. in 40 min = 0.45 pages per min
27 pages per hour and 0.45 pages per minute.

If there are a number of different sounds being produced simultaneously, the resulting intensity is the sum of the individual intensities. How many decibels louder is the sound of quintuplets crying than the sound of one baby crying?

Answers

Formula: Δ L = 10 × log n. 
Δ L = level difference. 
n = number of equal loud sound sources. 

n = 5 
10 × log10 5 = +6.9897 dB compared to the case that only one source is available. 
Final answer:

The sound of quintuplets crying is 7 dB louder than the sound of one baby crying because a factor of five in intensity corresponds to a 7 dB increase in sound intensity level.

Explanation:

The question asks how many decibels louder the sound of quintuplets crying would be compared to the sound of one baby crying. To calculate this, we need to understand that intercity levels in decibels (dB) are measured logarithmically. This means that for every ten-fold increase in intensity, the sound level goes up by 10 dB. We also know that a factor of five in intensity corresponds to an increase of 7 dB.

If one baby crying produces a certain sound intensity, then five babies (quintuplets) crying simultaneously would increase the intensity by a factor of five. Hence, the sound of quintuplets crying would be 7 dB louder than the sound of one baby crying, based on the given references.

Jasmine opened a bank account. She deposited $84.50 into her account every month for 20 months. She used $50.50 every month to pay for dance lessons. After 20 months, she used 1 over 4 of the total money left in her account to go to a music camp. What is the total amount of money Jasmine spent to go to the music camp?

$115.00
$135.00
$155.00
$170.00

Answers

you multiply 84.50 and 20 then you subtract 50.50 times 20 which equals $680 then you divide by four and get $170.00.

Answer:

Option D 170.00.

Step-by-step explanation:

I took the test.

1.Write Paulo's time in standard notation

2.Miguel ran a marathon in 4 h and 16 min.Who ran the race in the shorter amount of time.Show your work.

HELP DONT ANSWERED IT JUST TO GET POINTS I NEED HELP THIS NEEDS TO BE TURNED IN @6

Answers

I'm not sure about a but b is:
You have to convert 1.56x10^4 into a normal number so that is : 15600
Then you convert 15600 into hours and seconds:
15600/60=260
260/60=4.3recurring
4 hours and 3recurring seconds

So that means Miguel ran the race in a shorter amount of time.

Reese spent $4.95 on cookie supplies. He sold 24 cookies at $2 each. His profit is how much more he got from selling the cookies than he spent. What was his profit?

Answers

To solve this problem, we should first find out how much Reese made from selling cookies. To do this, we have to multiply the cost of one cookie ($2) by the number of cookies he sold (24). This is modeled below:

24 * $2 = $48

To find Reese's total profit, we must subtract how much he spent on the supplies ($4.95) from his earnings ($48). This is modeled below:

$48 - $4.95 = $43.05

Therefore, Reese's profit is $43.05.

Hope this helps!

The human body is 70% water on average. About how much water will be in a person that weighs 140 pounds?

Answers

For this, you would need to find 70% of 140. To do so you must do the following: 140 x 0.7, which would lead you to the following answer: 98. So, if someone were to weigh 140 pounds, they would have around 98 pounds of water in their body!
I hope this was helpful, and if you need any more help, please let me know so I can further assist you.

Bill drove from Washington DC to Charlotte in 6.5 hours. What was his average speed in miles per hour?

Answers

If you search it up, the distance from Washington DC to Charlotte is 404.9 miles.

The formula for speed is distance divided by time. We can easily do that with this equation:

404.9 / 6.5 = 62.2923077, or about 63 miles per hour.

How can i do this? I don't quite understand "give an example of when it might be appropriate to estimate an answer rather than provide the exact answer" Thanks for your help

Answers

Imagine that you are planting flowers. The row is 68.5cm long. The plants should be 7cm apart. How many do you need. You know 68.5 is close to 70 and the plants should be 7cm apart and you know 70 divided by 7 is 10. So 10 plants should be enough. The reason why I rounded 68.5 because I needed to make the numbers easy to divide so I can get to answer that is close to what I need. If this example and my explaining did not help then I am sorry,

Please help me now ! Thank you

Answers

First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now

2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4

At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real. 

Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result. 

For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196

No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.

So x^2 = -4 has no real solutions. Taking the square root of both sides leads to

x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values


According to the general equation for conditional probability, if P(A^B)=3/4 and P(B)=4/5, what is P(A B)?

Answers

I found that P(A B) equals 0.96
Answer:

0.96

Explanation:

A rule of conditional probability states that

P(A∣B)=P(A∩B)P(B)

So in this case it would be:

P(A∣B)=4556=4⋅65⋅5=2425=0.96

How many solutions can be found for the linear equation? 6( 3x/2 + 4) - 10 = 1/2 (4x + 16)


A) no solutions

B) one solution

C) two solutions

D) infinitely many solutions

Answers

I think its c) two solution but im, not 100% sure



Answer:

its b one solution

Step-by-step explanation:

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Answers

The correct answer that you are looking for is C ( 75,000).
The correct answer is A. 70,000. Because your looking at 4 to round up the seven but because 4 is lower than 5 it would just be 70,000

If a and b are any two real numbers, explain how you calculate the difference a - b. Be sure to include the following in your explanation.
(A) a description of the relationship between addition and subtraction
(B) how you can use a number line to help with the calculation
(C) how you can determine the sign of the result

Answers

- Subtraction can be thought of as the inverse operation of addition, OR as addition itself, if you look at it as adding a negative number.

- The number line allows us to interpret subtraction (or addition of a negative) geometrically; we can view it as a movement to the left on the number line with a distance equal to the number being subtracted.

- Lastly, the value of any expression a - b (where a and b are real numbers) is determined by the relative sizes of the numbers. If a > b, then a - b > 0 (a positive result). If b > a, then a - b < 0 (a negative result.

simplify the expression (5-5i)-(-6-3i)

How do I solve this? Either teach me how, or help me with a few other simmilar ones.

Answers

Answer: Simplifying the expression of the substraction of the two complex numbers we get  11-2i


Solution:

(5-5i)-(-6-3i)

Eliminating the parentheses: 5-5i+6+3i

Grouping similar terms: (5+6)+(-5+3)i

Adding the similar terms: 11+(-2)i = 11-2i

Answer:

The simplify form of given expression is 11-2i.

Step-by-step explanation:

The given expression is

[tex](5-5i)-(-6-3i)[/tex]

Using distributive property, we get

[tex]5-5i-(-6)-(-3i)[/tex]

[tex]5-5i+6+3i[/tex]

Combined real and imaginary parts.

[tex](5+6)+(-5i+3i)[/tex]

[tex]11+(-2i)[/tex]

[tex]11-2i[/tex]

Therefore the simplify form of given expression is 11-2i.

How many terms are there in the expression 2x - 5y + 3 + x?
3
4
5
6

Answers

Terms or Like Terms?

ther is 4
hope this helps

Suppose △ITH≅△APG.

Which congruency statement is true?

Answers

△ITH≅△APG.

answer
B. IH = AG

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

[tex]IT \cong AP, TH \cong PG, IH \cong AG[/tex]

Therefore, [tex]IH \cong AG[/tex]

SO, Option 2 is the correct answer.

I need help to figure out n

Answers

First of all, you want to divide both sides by 1/9 in order to isolate the variable

n= 2/3 ÷ 1/9          As you may have learned, you cannot divide fractions,                                   instead you do KCF (Keep Change Flip). So keep the                                     first fraction, change the division to multiplication, and flip                               the last fraction.
n = 2/3 * 9/1        Simplify the cross terms
n = 2/1 * 3/1        Multiply 2 by 3
n= 6

The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 Ponderosa Pines, how many Aspens are there?

Answers

Is aspens part of math?
Do you have Any answer choices

whats 3/4+1/4÷4/5+1/2

Answers

1.2625  i dunno if this is correct though on my calculations

Only 5,6,7,8 please help

Answers

5.) 67.24390 ( 24390 repeating)

6.)0. 87.213114 etc. (estimate it)

7.) 27. 714285 ( repeating)

8.) 70.60869 (estimate it)

what is the equation of the line shown in this graph.

Answers

Y+1 is the answer and yes the variable x is a substitute for an unknown number

What is the property of 2x32x5=2x5x32=

Answers

it would be communitive property

Find the nth term in the following sequence:
10, 19, 34, 55

Answers

the nth term is 3n²+7

Answer:

The nth term of sequence is [tex]3n^{2}+7[/tex]

Step-by-step explanation:

We need to find out the general recurrence relation of sequence:

[tex]10, 19, 34, 55[/tex]

if we see pattern of sequence that every square of each number 'n' is multiple of 3 and addition of 7

check this pattern by [tex]3n^{2}+7[/tex]

For n=1

[tex]3n^{2}+7[/tex]

[tex]3(1)^{2}+7[/tex]

[tex]3+7[/tex]

[tex]10[/tex]

For n=2

[tex]3n^{2}+7[/tex]

[tex]3(2)^{2}+7[/tex]

[tex]3\times 4+7[/tex]

[tex]12+7[/tex]

[tex]19[/tex]

For n=3

[tex]3n^{2}+7[/tex]

[tex]3(3)^{2}+7[/tex]

[tex]3\times 9+7[/tex]

[tex]27+7[/tex]

[tex]34[/tex]

And so on..

Therefore, the nth term of sequence is [tex]3n^{2}+7[/tex]

A class has 24 students. The teacher asks how many students in the class have pets and finds 5/8of the students have pets. Write a multiplication problem. How many students have pets?

Answers

24 × 5/8 = 15, you can cross multiply by doing x/24 = 5/8 And solve for x
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