Write the perimeter of the floor plan shown as an algebraic expression in x.

The previous year's salary is x.

This year's salary is x + 3000.

12% of this year's salary is $4200.

12% * (x + 3000) = 4200

0.12(x + 3000) = 4200

x + 3000 = 35,000

x = 32,000

Answer: Her salary in the previous year was $32,000.

Answer:

9i(2+3i) = -27+18i

Step-by-step explanation:

Distribute to get → 9i·2+9i(3i)

Multiply 2 and 9 → 18i+9i(3i)

Simplify → 18i+27i²

Simplify → 18i-27

Reorder → -27+18i

The answer you are looking for is 1/3.

First, you must look at the denominators of each fraction, to see if you can simply divide straight across. In this case, you cannot, which means you must multiply by the reciprocal or "flipped" number. Generally when you multiply by the reciprocal, you flip the number with the smaller denominator to multiply.

So, you have 4/3 * 3/12. You then multiply straight across (4 * 3)/(3 * 12), to get an answer of 12/36, which simplified (divided by 3/3) gives you a final answer of 1/3.

I hope this helps!

The required model is attached in the image and the division of 3/4 by 3 /12 is 3.

Given that,
To draw the model to represent 3/4 divided by 3/12.

In mathematics, it deals with numbers of operations according to the statements.

Model hs been attached below for the given problem of division,
= 3 * 4 / 3 * 12
For a rectangle space, drawing 4 column and 12 raws,
Now for 3 / 4 3 of the 4 column to be filled by red, for 3 / 12 every 3 cells in the row have been filled by red.
Calculating number of cells in 3 / 4 = 36
calculating number of cells in 3 / 12 = 12
Now ratio of the cells = 36 / 12 = 3

Thus, the required model is attached in the image and the division of 3/4 by 3 /12 is 3.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

c. The number of games that Ella played. (the one I think)

The answer is c the number of games that Ella played, because it says she got 16 points per game.

Answer:

A) She must have used 20% from the $40 instead of the unknown price.

B) No, because: see below explanation.

Step-by-step explanation:

X is the original price.

If $40 is 80% of x, to find 1% of the price, divide $40 by 80.

You will get $0.50 for 1%.

To find the full amount, just multiply that by 100.

0.50*100= 50.

Total: $50.

Hope this helped!

Jane's friend calculated the original price by dividing $40 by 80 and multiplying by 100. However, they made a mistake in their calculations. The correct original price before the 20% discount should be $50.

A) It seems that Jane's friend arrived at $48 by considering $40 as 80% of the original price. Since Jane received a 20% discount, it means she paid 80% of the original price. Thus, her friend might have calculated by dividing $40 by 80 and then multiplying by 100 to find the original price.

B) However, her friend's calculation is incorrect. If we indeed divide $40 by 80 and multiply by 100, we get $50, not $48. This means the original price of the item is $50.

To further illustrate this, let's consider the original price to be 'x'. If Jane received a 20% discount, she paid only 80% of 'x'. So, 0.8x = $40. Solving for 'x', we get x = $40 / 0.8 = $50.

https://brainly.com/question/35988155

#SPJ3

Answer:  

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is  [tex]x[/tex]

As he has 4 different groups of songs, so the total number of songs in all 4 groups will be:  [tex](4*x)= 4x[/tex]

Given that, the mp3 player has a total of 852 songs. So, the equation will be........

[tex]4x=852\\ \\ x=\frac{852}{4}=213[/tex]

So, there will be 213 songs in each group.

Answer: The percent of survey participants who chose fishing= 61.70%

Step-by-step explanation:

Total number of participants who completed survey= 18 + 29= 47

Now, the number of participants who chose fishing= 29

So,

The percent of survey participants who chose fishing= (the number of participants who chose fishing/the number of participants who completed survey)x100

The percent of survey participants who chose fishing= 29/47x100

The percent of survey participants who chose fishing= 61.70%

Answer:

Step-by-step explanation:  29/18+29 x 100

Okay so you subtract those two and you get  24.75.

You have to find how much more the length is compared to the width

You subtract the length by the width

65.25 - 40.5 = 24.75

The answer is 24.75 feet

BRAINLIEST?!

4inches of chain 63and 35 inches  of chain decided by 15 equal 4     4 15 inches of chain

A i think it could be wrong im only in middle school

This one should be C. Just look at the corresponding letters and plants. It’s easy once you get the numbers and items correctly equaling each other.

Answer:

1. a(x) = (x-4) (x-1) (2x+1) (x+3)

2. b(x) = (x^2-2) (x-5) (x+3)

3. c(x) = (2x-1) (x^2- 2x + 5)

Answer:

We know that, the frequency table consists of the number of times the number is appearing.

Also, 'relative frequency is the percent of the total of the frequencies'.

So, the corresponding frequency table is given by,

Points Scored                     Frequency                   Relative Frequency (%)

1                                                 1                                            4.17

3                                                2                                           8.33

5                                                1                                            4.17       

6                                                1                                             4.17

7                                                2                                            8.33

8                                                1                                             4.17

9                                               2                                             8.33

10                                              6                                              25

11                                                1                                             4.17

12                                              2                                             8.33

13                                              2                                             8.33

14                                              2                                             8.33

As, the total of the frequency is 24. So, we get the relative frequency table above.

The relative frequencies of the given data are as follows:

Relative frequency is the proportion of the number of occurrences of a particular value to the total number of values.

The frequency of each value are:

The total number of values = 24

The relative frequency of each value are:

Read more about relative frequencies

brainly.com/question/30063075

#SPJ4

Answer:

That 9 is divisible by 3.

Step-by-step explanation:

For this case we have the following statement:

"All odd numbers are divisible by 3"

The options given are the following:

a) 7 is odd but not divisible by 3, therefore it is a counterexample of the given statement

b) 9 is odd and is divisible by 3, therefore it is not counter-example

c) 8 is an even number, it is not a counter-example

d) 3 is odd and affirms the given statement.

Therefore, the correct answer is option A.

Answer:

Option A

The solution of the system of equations is (2, 3), the second option.

When we have a system of equations, one way of solving it is graphing both equations in the same coordinate axis and then finding the point where the graphs intercept.

Here we can see two lines, and the lines intercept at the point (2, 3), so we can say that the solution of the system is (2, 3), which is the second option.

Learn more about systems of equations at.

https://brainly.com/question/13729904

#SPJ4

Using FOIL (First, Outer, Inner, Last):

(x+3)(x-4)

FIRST: multiply x times x to get x^2.

OUTER: multiply x times -4 to get -4x.

INNER: multiply 3 times x to get 3x.

LAST: multiply 3 times -4 to get -12.

Your expression now looks like:

x^2-4x+3x-12

Combine like terms.

x^2-x-12

The answer is D. x^2-x-12.

I hope this helps :)

Slope intercept form: y=3/4 - 3

slope:3/4

Y-intercept: -3

Because you subtract 4y from both sides to get it on the other side of the equation. You don’t want it to be 4y=3x-12 though so you would divide both sides by 4 which would give you y=3/4x-3. I hope this is right and it helps

x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.

This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).

When is the tangent line vertical? when it passes through the x-axis.

Answer: (-3, 0), (3, 0)

Answer:

C) M + 0.12M

Step-by-step explanation:

A — calculates the raise, not the new fare

B — adds 12¢ to every fare

C — adds 12% of the current fare to the current fare. This is what you want.

D — adds $1 to the amount of the raise. This is not the amount of the new fare.

Answer: C) [tex]M+0.12M[/tex]

Step-by-step explanation:

Given : Matrix M shows the one-way fares for four commuter train routes.

If the rail service raised fares by 12% on all routes and days.

Then, the proportion of service raised fares on all routes and days. =0.12

Then, the new fares is given by :-

[tex]M+0.12M[/tex]

Hence, the formula shows how to find the matrix that would display the new fares = [tex]M+0.12M[/tex]

Answer: c. ;]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

so, the coefficient will 24, -3, and 7. The letters next to the coefficients are called "variable".

Answer:

Correct cost for the cell phone monthly plan = 54.2$

Explanation:

Price for monthly plan = 58.95$

Discount = 4.75 $

New cost found out by Sam = 11.45$

Discount considered by Sam = 58.95 - 11.45 = 47.5$

So, Instead of considering discount amount of 4.75$ Sam accidentally considered 47.5$, so he got 11.45$ as new cost for the cell phone plan.

Actual cost = 58.95 - 4.75 = 54.2$

Correct cost for the cell phone monthly plan = 54.2$

Answer:  8

Step-by-step explanation:

x² - 2x  + ___ - 4y²  = 15 + ___

x² - 2x  + 1 - 4y²  = 15 + 1

(x - 1)² - 4(y)² = 16

[tex]\frac{(x-1)^{2}} {16} - \frac{4(y - 0)^{2}}{16} = \frac{16}{16}[/tex]

[tex]\frac{(x-1)^{2}} {16} - \frac{(y - 0)^{2}}{4} = 1[/tex]

[tex]r_{x} = 4[/tex]   [tex]r_{y} = 2[/tex]

width of rectangle is 2[tex](r_{x})[/tex] = 2(4) = 8

Answer:

48%

Step-by-step explanation:

Given that five friends are chipping in for a birthday gift for their teacher.

They were David, Jakob , Stephanie, Kate and Janice

Boys contributed 13 dollar each i.e. a total of 26

Girls contributed 8 each i.e. a total of 24

total contribution =50

Out of total contribution 50, girls total contrbution = 24

Hence percent = 24(100)/50 = 48%

Given rate is = 7% or 0.07

Total amount needed = $12000

Time = 4 years

Here, the  deposit is  compounded semiannually, means twice per year and this gives 8 annual compounding periods in 4 years.

The equation becomes:

P= [tex]\frac{12000}{(1+\frac{0.07}{2})^{2.4}}[/tex]

P = [tex]\frac{12000}{1.035^{8}}[/tex]

Solving it, we get P = $ 9112.93

Hence $9112.93 should be deposited today.

To accumulate $12,000 in four years in an account earning 7% compounded semiannually, approximately $8,289.64 should be deposited today.

To find out how much money should be deposited today in an account that earns 7% compounded semiannually to accumulate to $12,000 in four years, we can use the formula for calculating compound interest:

A = P(1 + r/n)^(nt)

Where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Hence, approximately $8,289.64 should be deposited today in the account.

https://brainly.com/question/14295570

#SPJ3

Answer:

4.28 $

Step-by-step explanation:

Given that a store sold 55 pairs of shoes for 85.60 each.

Sale proceeds = 55(85.60) = 428 dollars.

Later on 100 scafs were purchased.  For that the price was 428 dollars.

The proceeds of 428 dollars  were spent buying 100 scarves.

i.e. price of 100 scarves = 428 dollars

Hence price of 1 scarve = 428/100 = 4.28 $

Price of 1 scarve is 4.28 dollars is the answer

Answer : (-∞,-1) U  (-1, 1)

We need to find  the interval(s) over which the function is increasing

We look at the intervals of x  where the graph is increasing

Increasing interval of the graph is the part where the graph goes up.

At first  the graph starts increasing and it increases till x=-1

So the first increasing interval is -infinity to -1 . We write it as (-∞,1)

Now, we look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph starts increasing at x=-1  and increases till it changes direction. The graph is increasing till x=1

so second increasing interval is x=-1  to 1. we write it as (-1,1)

Now combine both intervals by a 'U' union

(-∞,-1) U  (-1, 1)

The  interval(s) over which the function that is increasing is  (-∞,-1) U  (-1, 1)

From the question, One need to find  the interval(s) over which the function is increasing

Since intervals of x  where the graph is increasing Increasing interval of the graph is the part where the graph goes up.

At first  the graph starts increasing and it increases till x=-1, So the first increasing interval is -infinity to -1 . We write it as (-∞,1). So, one look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph starts increasing at x=-1  and increases till it changes direction. The graph is increasing till x=1

Since the  increasing interval is x=-1  to 1. one then need to write it as (-1,1)

So, The function is increasing for all values of x in the open interval from negative infinity to negative 1, excluding -1, and also in the open interval from -1 to 1, excluding both -1 and 1."

Learn more about interval from

https://brainly.com/question/5661267

#SPJ4