The most appropriate choice for perimeter of rectangle will be given by
It costs $76.16 to buy enough of the border to go around the room.
What is perimeter of a rectangle?
The total length of the outline of a rectangle is called perimeter of rectangle.
If the length of a rectangle is l units and breadth of a rectangle is b units, then perimeter of rectangle will be given by
[tex]2 \times (l+b)[/tex] units
Here,
Length of room = 20 feet
Width of room = 12 feet
Perimeter of room = [tex]2 \times (20 + 12)[/tex]
= [tex]2 \times 32[/tex]
= [tex]64[/tex] feet
cost of 1 foot of border = $1.19
cost of 64 foot of border = $[tex]1.19 \times 64[/tex]
= $[tex]76.16[/tex]
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A magician is training for an underwater escape trick. Using a new technique, he can hold his breath for 144 seconds. That is 60% more than he was able to do when he first tried. How long could the magician hold his breath when he first tried?
The number of seconds that the magician hold his breath when he first tried is 90 seconds.
How to calculate the value?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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The sum of two numbers is 140. The difference between the numbers is 32. Which system of equations can be used to find the larger number, x, and the smaller number, y.
Group of answer choices
x + y = 140
y – x = 32
y – x = 140
x + y = 32
x + y = 140
x – y = 32
x – y = 140
x + y = 32
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
In triangle NAP, measure of N= 45 and the measure of A= 70. Which statement best describes triangle NAP?
1. Segment NA is the longest side
2. Segment NP is the longest side
3. Segment AP is the longest side
4. Segment AP and segment NP are the longest sides and are congruent
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.
3) A retailer allows 15% discount on the marked price of an electric fan. If a customer pays Rs. 2244 with 10% VAT, find the marked price of the fan.
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
The product of 2 and the difference of a number and 5.
The expression for the product of 2 and the difference of a number and 5 is 2x - 10
What is an algebraic expression?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;
MultiplicationBracketSubtractionParenthesesAdditionDivision, etcFrom 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
Select all ratios equivalent to 6:8
21:28. 9:12. 36:48
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
Faster faster i need help i mark brainliest if you do it
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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Express your answer as a polynomial in standard form. f(x) = x - 1
g(x) = 3x² - 4x-12
Find: g(f(x))
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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If six more than 3 times a number is equal to 12 less than double the same number. choose the equation you will use to solve for the unknown number and the number (solution).
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
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
f(x)=6x+5 and g(x)= x-5/6
a. f(g(x))= (Simplify your answer.)
b. g(f(x))= (Simplify your answer.)
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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Identify the interval on which the quadratic function is positive.
1. y = -7x^2 + 35x - 28
Identify the interval on which the quadratic function is negative.
2. y = 2x^2 - 4x - 16
Help on these problems above would be appreciated, thanks! (ɔ◔‿◔)ɔ ♥
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:
Question 1The 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:
Solution: 1 < x < 4Interval notation: (1, 4)Question 2The 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:
Solution: -2 < x < 4Interval notation: (-2, 4)solve for N
6n−6=−9n+54
n=
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]
Khan academy question. Can you help?
The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)
How to represent point slope equation?The point slope equation can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesThe 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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if the cost price of 20 pencils is equal to selling price of 16 pencils,find the profit percent.
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)
While working out at the gym, Bryan spent 30 minutes lifting weights and 45 minutes on the stair-climber. What is the ratio of the time Bryan spent on the lifting weights to the total time spent at the gym?
Answer:
30/75 = 2/5 or 2:5
Hope this helps!!!
5/6 x = 15
Explain please and say the answer
Answer:
x=18
Step-by-step explanation:
multiply both sides of the equation by 6/5
simplify
yw
Please help I don’t know what it is I’ll give lots of pointssss.
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]
Identify the element in Group 17, Period 6
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 side that is adjacent to angel f has a length of 3 4 5
[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.
what is adjacent angle?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.
what is adjacent rule 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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A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
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
!!!!!!!
Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
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].
A video game costs $25.
After a 40% discount, Mohamad pays $
I
for this game.
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
Time Conversions: Convert to the asked time.
. 8 hours, 20 minutes, and 36 seconds =
hours
The answer in hours is 8.91 hours.
How do you convert minutes and seconds to 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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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
7x + 12
Step-by-step explanation:
(10x - 3x) + 12
7x + 12
6x + 7 = – 5
what is it?
Step-by-step explanation:
I hope it will be helpful for you.
Step-by-step explanation:
6x + 7 = -5 -7 -7___________6x + -12 __ __ the two small lines mean ÷6 6x = -2
hope this helps:)
QUICK!! I need help please.
Help solve please im struggling
Answer:
The domain should be "All Real Numbers" and the Range should be "y is greater than or equal to 0"
Adam buyed 8 new video games each costing $19.97. How can you represent the total amount that will be withdrawn from his bank account?
Answer:
8*19.97=159.76
Step-by-step explanation:
Answer:
8*19.97=159.76
Step-by-step explanation:
Dr. Wolf, the biologist, captures 20 fish out of a small lake behind his college. He fastens a
marker onto each of these and throws them back into the lake. A week later, he again
captures 20 fish. Of these, 2 have markers. How many fish could Dr. Wolf estimate are in
the pond?
There are 200 fishes estimated.
What is proportion?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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Martin Binford is an author. He has no income he would report on line 1a or line 1b of his schedule SE. He earned $143,380 in 2010 from his books. He had $3,563 in expense. How much self-employment tax does he owe?
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.