The statement as an expression is 2x - 9 = 5 + x
How to determine the statement as an expression?From the question, we have the following statement that can be used in our computation:
Nine less than two times a number is five more than this number.
Express the numbers properly
So, we have the following representation
9 less than 2 times a number is 5 more than this number.
Introduce the equality symbols
So, we have the following representation
9 less than 2 times a number = 5 greater than this number.
Next, we apply the mathematical operators
So, we have the following representation
2 times a number - 9 = 5 + number.
Express the number as x
So, we have
2x - 9 = 5 + x
Hence, the expression is 2x - 9 = 5 + x
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GEOMETRY find the angle of PRQ NO LINKS!!
Answer:
55
Step-by-step explanation:
Remark
This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )
The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).
The perimeter of a rectangular painting is 304 centimeters. If the length of the painting is 85 centimeters, what is its width?
Answer:
3.58
Step-by-step explanation:
You have to divide 304 by 85
you will get 3.57647058824
You have to round it to the nearest hundedth which will leave you with 3.57
3/21 plus 4/21 in simplest terms
Add the two fractions:
4/21 + 3/21 = 4 + 3/21 = 7/21
7/21 simplified gives 1/3
So, 4/21 + 3/21 = 1/3
Answer:
3/21+4/21
=7/21 in simplest form
=1/3
Which of the following problems would NOT have a solution? Group of answer choices 10 divided by 2. 10 divided by 5. 10 divided by 0. 0 divided by 10.
10 divided by 0 problem would NOT have a solution.
Given:
a. 10 divided by 2
b. 10 divided by 5
c. 10 divided by 0
d. 0 divided by 10
We know that ,
Integer divided by an integer is an integer
Therefore (a) and (b) will have a proper solution
We also know that ,
Zero divided by anything is Zero
Therefore (d) also have a unique answer that is zero
Now , We know that
Any numeric value divided by Zero tends to infinity .
Hence, 10 divided by 0 problem would NOT have a solution.
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100 POINTS
A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet.
a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot.
b. Find the area of the gazebo in square feet.
c. Find the cost of the gazebo's flooring if it costs $3 per square foot. Round to the nearest hundred dollars.
Answer:
a) $497.70
b) 392.4 square feet
c) $1,200
Step-by-step explanation:
Part (a)A regular octagon has 8 sides of equal length.
Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:
\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)
If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:
\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)
Therefore, the cost of the railing is $497.70.
\(\hrulefill\)
Part (b)To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:
\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)
Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:
\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)
Therefore, the area of the gazebo is 392.4 square feet.
\(\hrulefill\)
Part (c)To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:
\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)
Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.
a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:
P = 8s = 8(9) = 72 feet
Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:
Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20
Therefore, the cost of the railing is $4,939.20.
b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:
A = (1/2)(10.9)(72) = 394.56 square feet
Therefore, the area of the gazebo is 394.56 square feet.
c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:
Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68
Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.
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Fill in the blank for this question!
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
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Find a solution to the linear equation y=−x+7 by filling in the boxes with a valid value of x and y.
Explanation:
This equation represents a line, so there are many points that are a solution to it. We just have to pick one value of x, replace it into the equation and find y:
\(\begin{gathered} y=-x+7 \\ \text{ using x = 1:} \\ y=-1+7=6 \end{gathered}\)Answer:
A solution is (6) = - (1) + 7
2. What is the slope of a line that goes through the points (-14, -10) and (12,
18) *
-4
28/27
14/13
Answer:
14/13 or 1.0769
Step-by-step explanation:
Used a Regression Calculator and typed in the points
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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5/6 divided by 1/2 simplest from
Answer:
5/3
Step-by-step explanation:
(5/6)÷(1/2)
= (5/6) x 2
= 10/6 = 5/3
Hope this helps!
Answer:
the correct answer is 5/3
I'm 100000000000% sure
When m = 2 and p = 1/4,j=32. Ifj varies directly with m and inversely with p, what is the constant of variation?
-4
-16
-64
-256
Answer:
Step-by-step explanation:
yees
Which of the following are factor pairs for 54?select all that apply.
Answer:
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Step-by-step explanation:
hope this helped:)
brainliest for the brains........................
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Here, we have,
The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.
Factors of 54: 1,2,3,6,9,18,27 and 54
Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.
To find the factors of a number, 54, we will use the factorization method.
To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.
54 ÷ 1 = 54
54 ÷ 2 = 27
54 ÷ 3 = 18
54 ÷ 6 = 9
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Need help finding the slope please answer need it done today
Answer:
1. 1/2
2. 2/5
3. -1
4. 1/2
Step-by-step explanation:
slope is equal to rise/run
you take two points and count how far up and sideways
if it is down make it negative
Which of the following statements are true about the equation below?
x2-6x+2=0
The graph of the quadratic equation has a minimum value.
The extreme value is at the point (3,-7).
The extreme value is at the point (7,-3).
The solutions are .
The solutions are .
The graph of the quadratic equation has a maximum value.
Using quadratic function concepts, it is found that the true statements about the equation are:
The graph of the quadratic equation has a minimum value.The extreme value is at the point (7,-3).The solutions are \(3 \pm \sqrt{7}\).What is a quadratic function?A quadratic function is given according to the following rule:
\(y = ax^2 + bx + c\)
If a > 0, it has a maximum value, and if a < 0, it has a minimum value.The extreme value is \((x_v,y_v)\), in which:\(x_v = -\frac{b}{2a}\)
\(y_v = -\frac{\Delta}{4a}\)
\(\Delta = b^2 - 4ac\)
The solutions are:\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)
\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)
In this problem, the function is:
\(f(x) = x^2 - 6x + 2\)
The coefficients are \(a = 1, b = -6, c = 2\).
Since a > 0, the graph has a minimum value.
For the extreme value, we have that:
\(x_v = -\frac{b}{2a} = \frac{6}{2} = 3\)
\(\Delta = b^2 - 4ac = (-6)^2 - 4(1)(2) = 28\)
\(y_v = -\frac{\Delta}{4a} = -\frac{28}{4} = -7\)
Hence:
The extreme value is at the point (7,-3).
The solutions are:
\(x_1 = \frac{6 + \sqrt{28}}{2} = \frac{6 + 2\sqrt{7}}{2} = 3 + \sqrt{7}\)
\(x_2 = \frac{6 - \sqrt{28}}{2} = \frac{6 - 2\sqrt{7}}{2} = 3 - \sqrt{7}\)
The solutions are \(3 \pm \sqrt{7}\).
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A package of 8-count AA batteries costs $6.16. A package of 20-count AA batteries costs $15.60. Which statement about the unit prices
is true?
The 8-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.
Answer:
it would be within the range of $0.77 <x< $0.78
A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
The simplified Euler equation that relates the number of Edges, Faces, and Vertices is:
O F - E + V = 2 O V - F + E = 2
O E - V + F = 2
F - E + = 2, the simplified Euler equation that relates the number of Edges, Faces, and Vertices.
Define Equation.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.Euler equation
F - E + v = 2
Where F is the number of faces
V the number of vertices
E the number of edges
A cube, for example, has 6 faces, 8 vertices, and 12 edges and satisfies this formula.
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ABCD paralleogram, AE is perpendicular to EC, and DF is perpendicular to EC. Prove AEFD is a triangle
Answer:
ABCD paralleogram, AE is perpendicular to EC, and DF is perpendicular to EC. Prove AEFD is a triangle
a
Kareem's family has an online business that
sells homemade lip balm.
• They use two ingredients, coconut oil
and beeswax.
• The recipe uses the coconut oil and
beeswax in the ratio 3 to 1.
• Each batch of lip balm requires
t teaspoons of beeswax,
Every week, the family makes 5 batches of lip
balm.
●
2
3
a
(7
5
16
How can Kareem represent the amount of each ingredient needed to make 5 batches of lip
balm?
Choose one option from each drop-down menu to answer the question.
Aryexpression that represents the amount of each ingredient in 5 batches is Choose...
An expression that represents the total number of teaspoons for both ingredients combined in
5 batches S Choose.
An expression that describes the total amount of each ingredient in 5 batches separately is
Choose
Answer:
yes is it
Step-by-step explanation:
Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
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(URGENT)!!!!!!!
Write one sentence that addresses the issue of globalization from the text and one sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers
Answer:
Step-by-step explanation:
One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.
One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence
Let g(x) = 3x + 2 If g(x) = 11 find x
Answer:
See below:
Step-by-step explanation:
So, for starters, g(x) is just a fancy way of saying that it is a function, it's basically used as \(y\) and you can usually use g(x) or y whenever you want unless its a special situation.
So we can replace g(x) with y as there aren't any other functions we need to deal with.
y = 3x + 2
y = 11
Now that its simplified, we can see its a simple problem
After combining, we get 11 = 3x + 2
After solving, we get x = 3
What is the value of y
O 12
O 1/3
O 6
O 2
at Michaels auto shop, it takes him 15 minutes to do an oil change and 24 minutes to do a tire change. let x be the number of oil changes he does. let y be the number of tire changes he does. write an inequality describing how many oil changes and tire changes Michael can do in less than 2 hours.
Answer:
Step-by-step explanation:
At Susan's auto shop, it takes her 12 minutes to do an oil change and 18 minutes to do a tire change. Let x be the number of oil changes she does. Let y be the number of tire changes she does.
Using the values and variables given, write an inequality describing how many oil changes and tire changes Susan can do in less than 3 hours (180 minutes).
Answer provided by our tutors
The total time that Susan needs to change x oil changes and y tire changes is less than 180 min.
The time needed for x oil changes is 12 * x.
The time needed for y tire changes is 18 * y.
The total time is the sum of the above times and needs to be less than 180 that is
12 * x + 18 * y < 180 divide both sides of equation by 6
12/6 * x + 18/6*y < 180/6
2*x + 3*y < 30
2*x < 30 - 3*y divide both sides by 2 to get the inequality for x
x < 30/2 - 3/2*y = 15 - 1.5 y < 15 that is x < = 15
2*x + 3*y < 30
3*y < 30 - 2*x divide both sides by 3 to get the inequality for y
y < 30/3 - 2/3 *x = 10 - 2/3*x < 10 that is y < = 10
Also we can write x + y < x+ 3/2 * y < 15.
Susan can do not more then 5 oil changes and not more then 10 tire changes or all together she can do not more then 15 total of oil and tire changes.
Just do this problem but with Michael
There are 276 students.
158 of the students are females.
82 of the males enrolled in magic college.
102 of the females enrolled in magic college.
(a) Create the two-way table based on the given data.
(b) What percentage of students were males that went to magic college?
(c) What percentage of females went to magic college?
Step-by-step explanation:
Number of males is
276 - 158 = 118Number of males not enrolled
118 - 82 = 36Number of females not enrolled
158 - 102 = 56(a)
The table based on data is
Enrolled Not enrolled Total
Male 82 36 118
Female 102 56 158
Total 184 92 276
(b)
Percentage of students were males that went to magic college
enrolled male / total students = (use table above)82/276*100% = 29.71% (rounded)(c)
Percentage of females went to magic college
enrolled female / total female = (use table above)102/158*100% = 64.56% (rounded)Answer:
a) see below
b) 29.7% (1 d.p.)
c) 64.6% (1 d.p.)
Step-by-step explanation:
Part (a)
Using the given information to create a two-way table:
\(\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & \\\cline{1-4} \sf Not\:enrolled & & &\\\cline{1-4} \sf Totals & 158 & & 278\\\cline{1-4}\end{array}\)
Calculations to fill the table:
Total enrolled = 102 + 82 = 184Female not enrolled = 158 - 102 = 56Male total = 278 - 158 = 120Male not enrolled = 120 - 82 = 38Total not enrolled = 56 + 38 = 94Therefore:
\(\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & 184 \\\cline{1-4} \sf Not\:enrolled & 56 & 38& 94 \\\cline{1-4} \sf Totals & 158 &120 & 278\\\cline{1-4}\end{array}\)
Part (b)
\(\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100\)
Number of students who are male and enrolled = 82
Total number of students = 278
\(\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{82}{278}\right) \times 100\\& = \sf 29.7\%\:\:(1\:d.p.) \end{aligned}\)
Part (c)
Total number of females enrolled = 102
Total number of females = 158
\(\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{102}{158}\right) \times 100\\& = \sf 64.6\%\:\:(1\:d.p.) \end{aligned}\)
A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.
9514 1404 393
Answer:
1/6
Step-by-step explanation:
The slope is the ratio of rise to run.
slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6
The slope of the hill is 1/6.
5. Theresa's sugar cookie
recipe uses 1 1/3 cup
sugar. How much sugar
would Theresa need to
make 2 4/5 batches of
cookies? PLEASE HELP ITS DUE TOMORROW IM FREAKING OUT
Answer:
You will need 3 \(\frac{11}{15}\) cups of sugar.
Step-by-step explanation:
1 1/3 x 2 4/5
another name for 1 is 3/3
3/3 + 1/3 = 4/3
Another name for 1 is 5/5
5/5 + 5/5 + 4/5 = 14/5
\(\frac{4}{3 }\) x \(\frac{14}{5}\) = \(\frac{56}{15}\)
I can break 56 into 15 + 15 + 15 + 11
\(\frac{15}{15}\) + \(\frac{15}{15}\) + \(\frac{15}{15}\) + \(\frac{11}{15}\) another name for \(\frac{15}{15}\) is 1
1 + 1 + 1 + \(\frac{11}{15}\)
3 \(\frac{11}{15}\)
Classifg each angle as acute , right , obtuse , or straight
1) 10°
2) 98°
3) 180°
4) 90°
Answer:
1) acute
2) obtuse
3) straight
4) right
Step-by-step explanation:
acute angle=less than 90
right angle=90 exactly
obtuse=greater than 90
straight=exactly 180
hope this helps
Simplify (z9z−3)−2.
1 over z raised to the twelfth power
1 over z raised to the sixth power
−z^12
−z^6
Answer:
A. 1 over z raised to the twelfth power
Step-by-step explanation:
Hope this helps! :))
Please tell me if this is incorrect
Answer:
1 over z raised to the twelfth power
Step-by-step explanation:
Can you help meeeeeee this is math and there have to be not one answer many like 3,2 and some time 1 ok Thankyou