Diane's living room is 12 feet wide and 20 feet long. She wants to
put a border around the top of the room. The cost of the border is
$1.19 per foot. How much will it cost to buy enough of the border
to go around the room?

Answer:

[tex]n=4[/tex]

Step-by-step explanation:

[tex]6n-6=-9n+54[/tex]

Shifting the like terms:

[tex]6n+9n=54+6[/tex]

Simplify the equation:

[tex]15n=60[/tex]

Solve for n:

[tex]n=\frac{60}{15}[/tex]

The final answer is:

[tex]n=4[/tex]

Answer:

x=18

Step-by-step explanation:

multiply both sides of the equation by 6/5

simplify

yw

Step-by-step explanation:

a. f(x) = 6x+5 and g(x) = x--5/6

f(g(x)) = 6x + 5

Now, let x = g(x) (remember f(x) = 6x+5 so we got the x from f(x))

f(g(x)) = 6(x--5/6) + 5

Open bracket

f(g(x)) = 6(x -- 5/6) + 5

f(g(x)) = x -- 5 + 5

f(g(x) = x

b. g(f(x) = x--5/6

g(f(x) = (6x+5) -- 5/6

g(f(x)) = 6x + 5 -- 5/6

g(f(x)) = 6x/6

g(f(x)) = x...

To check for inverse

1/g(f(x) = 1/x

1/f(g(x) = 1/x

Meaning 1/f(g(x) = 1/g(f(x) inverse of each other

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Answer:

$15

Step-by-step explanation:

25÷100×40=10

25-10=15

Answer:

Discount is 40 % so Mohamad will pay 60%

25x 60/100

=1 x 60/4

=60/4

=15

60% of $25 is= $15

Mohamad pays $15

PLSS MARK AS BRAINLIEST

Answer:

Step-by-step explanation:

so if this = that then this = x plus five 5 into 9

is

6 9 420 = 69x so pls go away 4848]

568393=334-0i34-0 o

Answer:

7x + 12

Step-by-step explanation:

(10x - 3x)     + 12

     7x      + 12

Answer:

15601 OR 1+100(55+100)+100

Step-by-step explanation:

A=1

B=25

C = 100

D = 55

E = +

F = -

G =()

AECGDECGEC

1+100(55+100)+100

1+100(155)+100

1+15500+100

15601

Answer:

[tex]3x^2 - 10x -5[/tex]

Step-by-step explanation:

[tex]g(f(x))=g(x-1) \\ \\ =3(x-1)^2-4(x-1)-12 \\ \\ =3(x^2-2x+1)-4(x-1)-12 \\ \\ =3x^2-6x+3-4x+4-12 \\ \\ =3x^2 - 10x -5[/tex]

Answer:

[tex]g(f(x))=3x^2-10x-5[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=x-1\\g(x)=3x^2-4x-12\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

Therefore, the given composite function g(f(x)) means to substitute function f(x) in place of the x in function g(x):

[tex]\begin{aligned}\implies g(f(x))&=g(x-1)\\& = 3(x-1)^2-4(x-1)-12\\&=3(x-1)(x-1)-4x+4-12\\&=3(x^2-2x+1)-4x-8\\&=3x^2-6x+3-4x-8\\&=3x^2-6x-4x+3-8\\&=3x^2-10x-5\end{aligned}[/tex]

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Answer:

Step-by-step explanation:

1)  p - m = n

     p = n + m

p - n = m

p - m = n  ;  p = n + m and p - n = m represents same relationship.

2)

[tex]\sf p =\dfrac{n}{m} \ ; \ m =\dfrac{n}{p} \ and \ pm = n \ represents \ same \ relationship.[/tex]

3)

[tex]\sf \dfrac{m}{p}= n \ ; \dfrac{m}{n}=p \ ; \ and \ pn = m \ represents \ same \ relationship.[/tex]

The expression for the product of 2 and the difference of a number and 5 is 2x - 10

An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants

These expressions also known to be made up of various mathematical or arithmetic operations, such as;

From the information given, we have;

The product of 2 and the difference of a number and 5.

Let the number be x

This can be represented thus;

2(x- 5)

expand the bracket, we have;

2x - 10

Hence, the expression is 2x - 10

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Complete question:

Write the expression for

The number of seconds that the magician hold his breath when he first tried is 90 seconds.

With the new technique, he can hold his breath for 144 seconds and that is 60 percent more than he was able to do when he first tried.

Let the number of seconds for the first try be represented by x. Therefore, based on the information, this will be illustrated as:

= x + (60% × x) = 144

x + 0.6x = 144

1.6x = 144

Divide

x = 144 / 1.6

x = 90

Therefore, the first try is 90 seconds.

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Answer:

[tex]\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}[/tex]

[tex]\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}[/tex]

Step-by-step explanation:

The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a negative leading coefficient, the parabola opens downwards.   Therefore, the interval on which y > 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is positive is:

The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a positive leading coefficient, the parabola opens upwards.   Therefore, the interval on which y < 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is negative is:

Answer:

The domain should be "All Real Numbers" and the Range should be "y is greater than or equal to 0"

Answer:

He owes $33556.08 worth of self employment tax.

Explanation:

consider firstly calculating the profit that he has made after this period which can be calculated as profit= income minus expenses and in this case we are given income earned from self employment of $143380 and the expenses incurred in generating this income is $3563 so we find he difference in these two amounts which is $143380-$3563 = $139817 therefore this profit is the taxable income that he needs to deduct tax from.

in order to calculate tax from this amount we go to the tax table so therefore a person earning between $84201 to $160725 is charged 24% tax as per tax table. so now we will say $139817 x 24% = $33556.08 is the tax he owes the IRS.

Answer:

Step-by-step explanation:

When subtracting 7x from both sides in the first step, she said [tex]4x-7x=3x[/tex], even though [tex]4x-7x[/tex] is actually equal to [tex]-3x[/tex].

Answer:

30/75 = 2/5 or 2:5

Hope this helps!!!

Answer:

how i understand this is:

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by

100    

=125%?

(correct me if am wrong)

The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)

The point slope equation can be represented as follows:

y - y₁ = m(x - x₁)

where

The line passes through (1, 0) and (6, -3).

Therefore, the point slope equation can be represented as follows:

m = y₂ - y₁ / x₂ - x₁

Hence,

m = -3 - 0 / 6 - 1

m = -3 / 5

m  = - 3 / 5

Using (6, -3) the point slope equation is y - (-3) = - 3 / 5 (x - 6)

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Step-by-step explanation:

I hope it will be helpful for you.

Step-by-step explanation:

hope this helps:)

Answer:

8*19.97=159.76

Step-by-step explanation:

Answer:

8*19.97=159.76

Step-by-step explanation:

Answer:

ima say Chlorine  

Step-by-step explanation:

Q's Which element is located in Group 17 and Period 6?

Chlorine is in group 17 of periodic table, also called the halogens, and is not found as the element in nature.

Answer:

Group 17 Elements: On the periodic table, the halogens are to the left of the noble gases. Fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (A) are the five poisonous non-metallic elements that make up Group 17 of the periodic table (At). Despite the fact that astatine is radioactive and has only short-lived isotopes, it behaves similarly to iodine and is frequently classified as a halogen. Because halogen elements have seven valence electrons, forming a complete octet requires only one extra electron. Because of this, they are more reactive than other non-metal groups.

In the periodic table, the Group 17 elements exist as the second column from the right side. The group 17 elements consist of Fluorine, Chlorine, Bromine, Iodine, Astatine, and Tennessine. The group 17 elements are called halogens. We will study the importance of group 17 elements, their properties, and their uses in this article. Some of the classic uses of halogens are as follows: Iodine is used as an antiseptic, chlorine is a disinfectant, fluorine is used in toothpaste in the form of sodium fluoride as it prevents tooth decays.

Step-by-step explanation:

The true statement is option A, They show that the equation represents the same line.

Given,

Two equations:

Equation A : 4y - 3x = 4

Equation B : -2x - 8y = 8

These lines intersect at a single point (-2, -0.5)

We have to find the true statement which satisfies the values x as -2 and y as -0.5.

Lets check

x = -2

y = - 0.5

Equation A:

4y - 3x = 4

4 × (-0.5) - 3 × (-2)

= -2 - (-6)

=  - 2 + 6

= 4

Here, the values satisfies Equation A.

Now,

Equation B:

-2x - 8y = 8

= - 2 × (-2) - 8 × (-0.5)

= 4 + 4

= 8

Here also, the values satisfies the Equation B.

So, the true statement will be,

Option A, They show that the equation represents the same line.

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Answer:

third option

Step-by-step explanation:

the sum of x and y is 140 , that is

x + y = 140

the difference between x and y is 32 ( y is smaller ) , then

x - y = 32

the system to solve for x and y is

x + y = 140

x - y = 32

Answer:

3rd one trust me

12 ejrid the rude

The answer in hours is 8.91 hours.

Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.

Given: 8 hours 20 minutes and 36 seconds

20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours

because as mentioned above 1 hour = 60 min

and 36 seconds in hours can be written as 36/ 60X60  = 1/ 100 hours or 0.01 hours .

because 1 min = 60 seconds and 1 hour = 60 min

thus 1 hour = 60 X 60 seconds

Thus the final answer is 8+0.9+0.01 hours = 8.91 hours

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There are 200 fishes estimated.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

captures 20 fish out of a small lake behind his college.

Now,

He again catches 20 fishes out of which 2 have markers

let the estimated fish are x.

So,

2/ 20 = 20 /x

20 x 20 = 2x

400 = 2x

x= 400/ 2

x= 200

Hence, there are 200 fishes estimated.

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[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.

If two angles share a side and a vertex, they are said to be neighboring in geometry. In other words, neighboring angles do not overlap and are placed next to one another immediately.

Remember that a2 + b2 = c2.

[tex]5^{2}[/tex] = 25, so the 3 4 5 right triangle .

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Answer:

2. NP is the longest side

Step-by-step explanation:

I assume the messages of N and A are degrees if the angles there.

angle A = 70°

angle N = 45°

that means

angle P = 180 - 70 - 45 = 65°

because the sum of all angles in a triangle is always 180°.

and that means A is the largest angle, and its opposite side is therefore the longest in the triangle.

the side opposite of A is NP.

Answer: 3x + 6 = 2x - 12

Step-by-step explanation: So, the answer to what x is:- is

3x + 6 = 2x - 12

3x - 2x = -12 - 6

x = - 18

Answer:

All of them

Step-by-step explanation:

The ratios equivalent to 6:8 would be:

21:28

9:12

36:48

All of these answer choices would be correct because they are all multiples of 6