At first, we will change the feet to the yard because the cost of carpet is per square yard
Since 1 yard = 3 feet, then
Divide each dimension by 3 to change it from feet to yard
Since the length of the room = 24 feet, then
The length of the room = 24/3 = 8 yards
Since the width of the room = 15 feet, then
The width of the room = 15/3 = 5 yards
The rule of the area of the rectangle is
Area = Length x width, then
The area of the room = 8 x 5 = 40 square yards
Since we will add extra 4 square yards to it, then
The total area needs to cover = 40 + 4 = 44 square yards
Since the cost of 1 square yard = $36, then
Multiply the area by the cost to find the cost of the carpet
The total cost = 44 x 36 = 1584
The cost of the carpet is $1584
what is the answer for this equation 20x2-45=0
Answer:
-5
Step-by-step explanation:
Craig is training to try out for the wrestling team at his school. Each week he records the number of sit-ups he can do in 1 minute so that he can track his improvement. The table shows his results over the first 3 weeks.
Week Number of Sit-Ups
1 40
2 44
3 47
Find the percent of change from Week 1 to Week 2 and from Week 2 to Week 3. Round to the nearest tenth percent if necessary.
Percent of change from Week 1 to Week 2:
%
Part B
Fill in the blank question.
Percent of change from Week 2 to Week 3:
%
The percent of change from Week 1 to Week 2 is 10%.
The percent of change from Week 2 to Week 3 is 6.8%
What is the percentage change?Percentage is the ratio of an amount that is expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.
The percent of change from Week 1 to Week 2 = (number of sit ups in week 2 / number of sit ups in week 1) - 1
(44 / 40) - 1 = 0.1 = 10%
The percent of change from Week 2 to Week 3 = (number of sit ups in week 3 / number of sit ups in week 2) - 1
(47 / 44) - 1 = 0.068 = 6.8%
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-8+19+8 witch is the value of the expression
The expression given as -8+19+8 has a value of 19
How to evaluate the expression?From the question, the expression is given as
-8+19+8
Rewrite the expression properly
This is rewritten as follows
-8 + 19 + 8
Collect the like terms in the above expression
So, we have the following equation
-8 + 19 + 8 = 8 - 8 + 19
Evaluate the like terms in the above expression
So, we have the following equation
-8 + 19 + 8 = 0 + 19
Finally. we add 0 and 19
So, we have the following equation
-8 + 19 + 8 = 19
Hence, the valye of the expression is 19
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The obtained value of the given expression -8 + 19 + 8 would be 19 which is determined by using the arithmetic operation.
What are Arithmetic operations?In mathematics, the addition, subtraction, division, and multiplication of built-in expressions can also be used to specify arithmetic operations.
The expression which is given in the question is below
⇒ -8 + 19 + 8
Rearrange similar terms in the above expression,
⇒ 8 - 8 + 19
Apply the subtraction operation,
⇒ 0 + 19
Apply the addition operation to get the answer,
⇒ 19
Hence, the obtained value of the given expression -8 + 19 + 8 would be 19 which is determined by using the arithmetic operation.
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bill saved 3,500 to take a vocation. if he pays 816 for his plane ticket, 125 per day for hotel accommodation, 100 per day for food, and 95 per day for sightseeing, at most how many days will bill be able to stay on vocation
Answer:
7 day
Step-by-step explanation:
Pa brainlest po plsss
Answer: 8 days
Step-by-step explanation:
1) Set up an equation. Let x be the day
3,500 >= 2(816) + x(100+95)
The 816 is just two times (Plane ticket back and forth) so it doesn't go into the x. 100 and 95 do as it is one day.
2) Solve the equation
3,500 >= 2(816) + x(100+95)
1868 >= 195x
9.57 >= x
3) Rounding
Since the x has to be less than 9.57, our next option is 8
Divide. Give the quotient and remainde 2249 = 3 x Quotient: S II I Remainder:
We will find the quotient and remainder as follows:
The quotient is 749 and the remainder is 2.
2. If y = x3 + 2x + 5 and z = x2 + 7x + 1, what is 2y + z in terms of x? (A) 3x3 + 11x + 11 (B) 2x3 + x2 + 9x + 6 (C) 2x3 + x2 + 11x + 11 (D) 2x3 + 2x2 + 18x + 12
the given equation is,
[tex]y=x^3+2x+5[/tex]and
[tex]z=x^2+7x+1[/tex]now the expression is,
2y + z
put the values,
[tex]2(x^3+2x+5)+x^2+7x+1[/tex][tex]\begin{gathered} 2x^3+4x+10+x^2+7x+1 \\ 2x^3+x^2+11x+11 \end{gathered}[/tex]thus, the correct answer is option C
Evaluate using your knowledge of the unit circle:cot 120°
We are asked to evaluate cot 120,
[tex]\begin{gathered} \cot 120^0=\frac{1}{\tan 120^0} \\ 120^0\text{ falls in the second quadrant. } \\ \tan 120^0=-\tan (180^0-120^0)=-\tan 60^0 \\ \end{gathered}[/tex][tex]\Rightarrow\cot 120^0=-\frac{1}{\tan 60^0}=-\frac{1}{\sqrt[]{3}}=-\frac{\sqrt[]{3}}{3}[/tex]math worksheet , sets
The elements of the set given by A∩B is {12,18} .
Set theory, a branch of mathematical logic, studies sets, which are essentially collections of objects.
Despite the fact that every form of object may be turned into a set, set theory is a branch of mathematics that primarily deals with issues that are relevant to mathematics as a whole.
The foundation of set theory is a straightforward binary link between an object o and a set A.
If o is a component (or member) of A, it is expressed as o A. When listing members of a set, commas are used to indicate their separation, or brackets are used to surround a property of those parts.
Since sets are objects, they can be connected by the membership relation.
Given set U = {11,12,13,14,15,16,17,18,19,20}
A = {12,14,16,18,20}
B = {12,15,18}
A∩B = {12,18}
A∪B = {12,14,15,16,18,20}
A' = {11,13,15,17,19}
Therefore the elements of the set given by A∩B is {12,18} .
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help it’ll be greatly appreciated:(
Answer:
hola como estas soy de guatemala
Homework: Section 5.2 HomeworkQuestion 1, 5.2.7HW Score: 88.33%, 10.6 of 12 pointsPart 2 of 6« Points: 0 of 1Previous questionA medical practice group consists of seven doctors, 4 women and 3 men. The women are Dre, Jonswold, Hein, O'Conell, and Lee. The men are Drs. Penner, Paquette, and Marland. Supposenew patients are randomly assigned to one of the doctors in the group, Complete parts (a) through (d) below.
Solution
Total numbers of Doctors = 7
Number of female doctors = 4
Number of male doctors = 3
The probability that the patient is assigned to a female doctor is given as
[tex]p=\frac{4}{7}\text{ \lparen as a fraction\rparen}[/tex]To express as a percentage
[tex]undefined[/tex]Select all of the expressions equivalent to (m + m)(-4.2m).
Answer choices
2m(-4.2m)
-4.2m³
-2.2m²
4.2m²+4.2m²
-4.2m²+(-4.2m²)
-8.4m²
Answer:
2m(-4.2m)
-4.2[tex]m^{2}[/tex] + - (4.2[tex]m^{2}[/tex])
-8.4[tex]m^{2}[/tex]
Step-by-step explanation:
2m(-4.2m) = -8.4 [tex]m^{2}[/tex]
-4.2 [tex]m^{2}[/tex] + (-4.2 [tex]m^{2}[/tex]) = 8.4[tex]m^{2}[/tex]
Is 5.67 < > = to 1.93
Answer: 5.67> 1.93
Step-by-step explanation:
Let's think of it this way, if you have five apples and another person has one apple. Do you think you have a greater amount of apples?
Of course because 5.67 is a larger number than 1.93. You can always make a number line.
Find the surface area of the figure. Round to the nearest hundredths place if necessary.
Find the GCF if the following terms . (30x^5 ,60x^3)
The coefficient of the GCF of a set of algebraic terms, wil be the GCF of the coefficients of the terms.
Notice that the coefficients in this case, are 30 and 60.
The greatest comon factor of this set, is 30, since:
[tex]\begin{gathered} 30=30\cdot1 \\ 60=30\cdot2 \end{gathered}[/tex]On the other hand, the variable x appears with an exponent of 5 in one case and an exponent of 3 in the other case. The greatest common factor for the variable x will be the lowest power, in this case, 3. Notice that:
[tex]\begin{gathered} x^3=x^3\cdot1 \\ x^5=x^3\cdot x^2 \end{gathered}[/tex]Then, we can factor out the following:
[tex]30x^3[/tex]Notice that each term can be written as a product of this factor:
[tex]\begin{gathered} 30x^5=30x^3(x^2)^{}^{}^{}_{} \\ 60x^3=30x^3(2)^{}_{} \end{gathered}[/tex]Therefore, the greatest common factor (GCF) is:
[tex]30x^3[/tex]Please help!! Find the values of x and y.
The values of x and y will be 100° and 10° when two parallel lines are being cut by a transversal line.
According to the question,
We have a figure where two parallel lines are being cut by a transversal line.
Now, we know that the angles formed on a straight line is 180° and vertically opposite angles are equal.
The sum of consecutive interior angles is 180°.
Now, we will use these three statements in finding the values of x and y.
Now, adding (2x-70)° and (5y)° will give 180° because the angles made are on a straight line.
(2x-70)°+(5y)° = 180°
2x+5y = (180+70)°
2x+5y = 250° .... (1)
Now, (x+30)° will be the interior angle consecutive to 5y° because they are vertically opposite angles.
So, we have:
(x+30)°+5y° = 180°
x+5y = (180-30)°
x+5y = 150°
5y = 150-x
Now, putting this value of 5y in equation 1:
2x+5y = 250
2x+150-x = 250
x+150 = 250
x = (250-150)°
x = 100°
Now, we will find the value of y:
5y = 150-x
5y = 150-100
5y = 50
y = 50/5
y = 10°
(Note that the values of x and y will be in ° because angles are measured in degree.)
Hence, the value of x is 100° and the value of y is 10°.
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| В Find the measure of ZA in AABC. Since we are given information here, we can use the following equation to solve for MZA. 55 DONE 35 А C 50
4. Take your values from the previous chart (In question 2) and convert them fromCelsius to Fahrenheit. Follow the example below, and use the conversion rule to fillout the chart for degrees Fahrenheit when t = 12 and t = 24. (2 polnts: 1 point foreach row)FO-c«) +32Example(0,-32)C(O)- -3.20FCO) - (-32)+32F(0) - -5.76 +32FO) - 26.24 F12
Conversion of Degrees Celsius to Degrees Fehrenheit.
[tex]\begin{gathered} F(t)=\frac{9}{5}C(t)\text{ + 32 }\ldots eqn(1) \\ \text{Making C(t) the subject of the formula, we get} \\ \text{Subtract 32 from both sides, we get} \\ F(t)\text{ -32=}\frac{9}{5}C(t)+32-32 \\ F(t)\text{ -32 =}\frac{9}{5}C(t) \\ \text{Multiplying both sides by }\frac{5}{9}\text{ , we get} \\ \frac{5}{9}\lbrack F(t)-32\rbrack=\frac{5}{9}\times\frac{9}{5}C(t) \\ \\ \frac{5}{9}\lbrack F(t)\text{ - 32\rbrack = C(t)} \\ C(t)=\frac{5}{9}\lbrack F(t)\text{ -32\rbrack}\ldots eqn(2) \end{gathered}[/tex]Substitute 12 for t in eqn(1), we get
[tex]\begin{gathered} t=12 \\ C(12)=40 \\ F(12)=\frac{9}{5}C(12)\text{ + 32} \\ F(12)=(\frac{9}{5}\times40)\text{ }+32 \\ F(12)=(9\times8)+32 \\ F(12)=72+32=104^oF \end{gathered}[/tex]When t =24,
C(24) = 0 , ( does not exist since the graph did not touch the graph)
[tex]\begin{gathered} t=24 \\ C(24)=0 \\ F(24)=\frac{9}{5}C(24)\text{ + 32} \\ F(24)=(\frac{9}{5}\times0)\text{ +32} \\ F(24)=32^oF \end{gathered}[/tex]Hence, the correct answer are:
t =12, C(12) = 104 degrees Fehrenheit, and
t =24, C(24) = 32 degrees Fehrenheit
The Wilsons want to tile their kitchen floor. The floor is 12 feet by 15 feet. The tiles are nine-inch squares.
12 feet = _____ inches
15 feet = _____ inches
Total square inches of the floor = ______ square inches
One tile = _____ square inches
Total number of tiles needed =______ tiles
The number of tiles required to cover the floor is 2880 tiles.
What is the number of Tiles Needed?To solve this problem, we can find the number of tiles by calculating the area of a rectangle:
We have to convert the dimensions from feet to inches will be
1 feet = 12 inches
12 feet = 12 * 12 = 144in
15 feet = 12 * 15 = 180in
The area of the rectangle can be calculated as:
A = l * w
A = 180 * 144
A = 25920in²
The tiles are 9 squared inches, we can divide the area by 9 to find the number of tiles needed:
25920/9= 2880
Hence, The number of tiles needed will be 2880 tiles
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#1 - Find the inverse of the function shown. *y = ( 6х + 12)/2
The given function is expressed as
y = (6x + 12)/2
In order to determine the inverse of the given function, we would substitute x for y and y for x. Then we would solve for y. It becomes
x = (6y + 12)/2
x = 3y + 6
3y = x - 6
y = (x - 6)/3
y = x/3 - 2
The inverse is
y = x/3 - 2
PLS HELP!
I’ll give brainliest if you also explain!
What are the equations of lines m and q?
Equation of 'm'
(y - 6) = - ³/₅ (x - 2) [point-slope form]
y = - ³/₅ x + ³⁶/₅ [slope-intercept form]
Equation of 'q'
(y - 6) = ⁵/₃ (x - 2) [point-slope form]
y = ⁵/₃ x + ⁸/₃ [slope-intercept form]
How to find the equations of lines m and q?To find the equation for both 'm' and 'q' requires a bit of work. Because neither 'm' nor 'q' has two points to find the slopes of the line, we have to get creative.
The Line 'n' has two points [ (4, 4) & (1, -1) ], and as such we can find the slope of that line. The line 'n' is parallel with 'q' and perpendicular with m.
For finding the slope of 'n'
The slope of the 'n' = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - (- 1)) ÷ (4 - 1)
= 5 ÷ 3
= ⁵/₃
To estimate the slope of 'q' and 'm'
When two lines exists parallel, they contain the exact slope.
Since 'n' and 'q' exists parallel,
then the slope of q = ⁵/₃
When two lines exists perpendicular, the product of their slopes exists -1. This means that the slopes exists negative-reciprocals of each other.
Since 'n' and 'm' exists perpendicular
then the slope of m = - ³/₅
Write the equation for 'q' and 'm'
We can now utilize the point-slope form (y - y₁) = m(x - x₁)) to write the equation for the lines
For both 'q' and 'm' let (x₁, y₁) be (2, 6)
Equation of 'm'
(y - 6) = - ³/₅ (x - 2) [point-slope form]
y = - ³/₅ x + ³⁶/₅ [slope-intercept form]
Equation of 'q'
(y - 6) = ⁵/₃ (x - 2) [point-slope form]
y = ⁵/₃ x + ⁸/₃ [slope-intercept form]
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find the length of arc CE. Round to the nearest hundredth.
We go from degrees to radians:
[tex]122\degree=122\degree\cdot\frac{\pi}{180\degree}=\frac{61\pi}{90}[/tex]Now, the length of arc CE is:
[tex]CE=m\measuredangle CDE\cdot CD[/tex]Where CD = 6 units. Using the angle in radians:
[tex]CE=\frac{61\pi}{90}\cdot6=12.78\text{ units}[/tex]The following data represent the number of people aged 25 to 64 years covered by health Insurance (private or government) in 2018. Approximate the mean and standard deviation for age.Age
Explanation
For the given data, we will have the following:
We are given grouped data, from which we will obtain the mean and standard deviation
Thus, we will have
From the above,
We have the mean to be approximately 44.68.
For the standard deviation
We will have
Thus, we have the standard deviation to be 10.22
What’s the correct answer answer asap for brainlist
Answer:
B
Step-by-step explanation:
the treaty for defeated Germany was Article 231, commonly known as the "War Guilt Clause," which forced the German nation to accept complete responsibility for initiating World War I. Germany was required to make enormous reparation payments
A fluorescent lighting panel is 12 5/8 inches wide. If three of
the panels are installed next to each other, what will be the
width in inches of the combined panels?
The width of the combined three panels when installed next to each other is [tex]37\frac{7}{8}[/tex] inches.
What is the width of the combined panels?In order to determine the width of the three combined panels, multiply the width of one fluorescent lighting panel by the total number of panels.
Multiplication is the mathematical operation that is used to calculate the product of two or more numbers. The sign that represents multiplication panel is ×.
Width of the combined panels = width of one panel x number of panels
[tex]12\frac{5}{8}[/tex] × 3
[tex]\frac{101}{8}[/tex] x 3 = [tex]\frac{303}{8}[/tex] = [tex]37\frac{7}{8}[/tex] inches
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At State College last term, 57 of the students in a Physics course earned As, 79 earned Bs, 102 got Cs, 94 were issued Ds, and 53 failed the course. If this grade distribution was graphed on a pie chart, how many degrees would be used to indicate the A region?
Given:-
57 students in a physics course earned A.
79 students course earned B.
102 students course earned C.
94 students course earned D.
53 students failed the course.
To find:-
How many degrees would be used to indicate the region A.
Total number of students is,
[tex]57+79+102+94+53=385[/tex]Now we find the degrees to indicate the region A. we get,
[tex]\frac{57}{385}\times360=0.1480\times360=53.29[/tex]So the required soluion is 53.29 degrees.
2. At 8:00pm, the temperature was 6°F. By midnight thetemperature was -2°F. If the temperature changed at aconstant rate, what integer represents the hourlychange in temperature?
We have to write the facts..
It's a little bit easy to understand if you put that numbers in a table.. like this
Now, they ask you an integer that represents a change per hour, and they say you that assume a constant change... then we complement the table with different values per hour until arrive at midnight..
now, you can see that you have two points.. with two coordinates, and you can find a line equation assuming that you have a constant change like this case...
[tex](x,y)\text{ is a general form of one point.. ok?}[/tex]that you place in the cartesian axes.. like this..
You know that you put x values in the horizontal line and y values in the vertical line..
for example, we're gonna place the point (2,1) that means that 2 in x axe and 1 in y axe..
help meeeeeee pleaseee !!!!
The linear equation parallel to y = 3x - 2 that passes through the point (4, 6) is:
y = 3*x - 6
How to find the equation of the parallel line?Here we want to find a linear equation parallel to:
y = 3x - 2
Now, a general linear equation is:
y = m*x + b
Where m is the slope and b is the y-intercept.
Remember that two lines are parallel if and only if the lines have the same slope and different y-intercept.
So our linear equation will be something like:
y = 3*x + c
Now we also want our line to pass through the point (4, 6), then we can replace these values:
6 = 3*4 + c
6 = 12 + c
6 - 12 = c
-6 = c
So the linear equation is:
y = 3*x - 6
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estimate 7271 divided by 12= ?
Answer:
B
Step-by-step explanation:
Because i used a calculator
Answer:
C 700
Step-by-step explanation:
7271 is close to 7000
12 is close to 10
So 7000/10 = 700
Find the range and standard deviation of the set of numbers.38, 47, 43, 44, 44, 41, 44The range is 9.The standard deviation is__(Round to the nearest tenth as needed.)
To find the standard deviation of this set of numbers, we will use the formula
[tex]s=\sqrt{\frac{\sum_^(x-\text{ }x_{mean})^2\text{ }}{n-1}}[/tex]let us explain the parts of this formula, as follows:
[tex]x_{mean}\text{ is the mean of the data \lparen we have to calculate\rparen}[/tex][tex]n\text{ is the total quantity of numbers \lparen in this example 7\rparen}[/tex]We will proceed by parts, the first thing to do is find the mean of the data
Calculating the mean
To find the mean, we will sum all the numbers and divide by the total quantity of numbers, as follows:
[tex]x_{mean}=\frac{\Sigma x}{n}=\frac{38+47+43+44+44+41+44}{7}=\frac{301}{7}=43[/tex]That is, the mean of the set is 43. Now we proceed to find the difference between the data and the mean, and the add them to the power of two, in symbols we have:
[tex]\begin{gathered} \Sigma(x-x_{mean})^2=(38-43)^2+(47-43)^2+(43-43)^2+3\times\text{ }(44-43)^2+(41-43)^2 \\ \text{ =\lparen-5\rparen}^2+4^2+0^2+3\times\text{ }1^2+(-2)^2 \\ =25+16+3+4 \\ =48 \end{gathered}[/tex]Now we introduce this result into the formula for the standard deviation, we find:
[tex]s=\sqrt{\frac{\Sigma(x-x_{mean})^2}{n-1}}=\sqrt{\frac{48}{7-1}}=\sqrt{\frac{48}{6}}=\sqrt{8}\approx\text{ 2.8}[/tex]That is, after approximate to the nearest tenth, we found that the standard deviation of the set of numbers is 2.8
how to solve for x and round it up to tenth
Answer:
4.6
Explanation:
The diagram shown is a right triangle having the following sides;
Opposite = 17
Adjacent = x
Angle of elevation = 75 degrees
Using SOH CAH TOA identity
Tan theta = opposite/adjacent
Tan 75 = 17/x
x = 17/tan 75
x = 17/3.73205
x = 4.6
Hence the value of x to the nearest tenth is 4.6