The expression that shows the situation where x is the number of strings of lights Farah will need to decorate the perimeter of the room = X = 70/5
What is perimeter?Perimeter is defined as the total area of an object which is measured or calculated by addition of the whole sides.
The perimeter of the given room = 70feet
The area covered by 1string of light = 5 feet
The number of spring of light needed would be calculated using X = 70/5 =14
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isosceles triangle, please find y and x and give/show work.
Step-by-step explanation:
because it is an isoceles triangle (both legs are equally long), also both side angles on the baseline must be equally large.
so, we have
4x + 3 = 2x + 29
4x = 2x + 26
2x = 26
x = 26/2 = 13
41 = 3y + 2
39 = 3y
y = 39/3 = 13
A bicycle store cost 2750 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $95. How many bicycles must store sell each month to break even? 
Which of the following is not a measure of dispersion?
A.Quartiles
B.Mean deviation
C.Quartile deviation
D.Range
The metrics of dispersion are mean deviation and range. While quartile deviation is a measure of dispersion, quartiles themselves are not.
Which four quartiles are there?25% from the lowest to the highest number in the first quartile. 25.1% to 50% in the second quartile (till median) Three-quarter range: 51% to 75% (above the median) 25% of the highest values are in the fourth quartile.
What do the three quartiles go by?When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3). As the second quartile, the median is used (Q2). The distance between the upper and lower quartiles is known as the interquartile range.
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Simplify the expression (3/7)^2
A: 3/7
B: 6/14
C: 9/49
D: 5/9
Answer: c
Step-by-step explanation:
What is an algebraic expression for 16 more than the product of 43 and a number? 16 − 43y 43y(16) 43y − 16 43y + 16
The algebraic expression for the statement, "16 more than the product of 43y", is : 43y + y.
What is an Algebraic Expression?An algebraic expression can be described as an expression that consists of terms and algebraic operations.
The terms could be variables and constants, while the algebraic operations could be addition, subtraction, multiplication, or division.
For example, 3x² − 2xy + 5 is an algebraic expression that consists of three terms.
How to Write an Algebraic Expression?To write an algebraic expression for the statement given above, we have the following:
The variable that represents the unknown number is y.
Product means multiplication.
The product of 43 and a is: 43 × y = 43y.
Therefore, "16 more than the product of 43y" would be translated as: 43y + y.
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Wilson bought a bus ticket to travel 22 miles to his friend's house. The ticket price was $5.00 for the first 10 miles and $0.50 for each additional 1/2 mile.
How much did Wilson pay for his bus ticket?
Answer:
$7.25.
Step-by-step explanation:
To find the cost of Wilson's bus ticket, we first need to determine how many additional miles he traveled beyond the first 10 miles. Since the ticket price was $0.50 per 1/2 mile, we can divide the number of additional miles by 0.5 to find the number of additional 1/2 miles. For example, if Wilson traveled 12 miles, he would have traveled 2 miles beyond the first 10 miles. Dividing 2 by 0.5, we get 4, so he would have traveled an additional 4 1/2 miles.
Once we know the number of additional 1/2 miles, we can multiply that number by the ticket price per 1/2 mile to find the cost of the additional portion of the ticket. For example, if the ticket price was $0.50 per 1/2 mile and Wilson traveled an additional 4 1/2 miles, the cost of the additional portion of the ticket would be 4.5 * $0.50 = $2.25.
Finally, we can add the cost of the initial portion of the ticket, which was $5.00 for the first 10 miles, to the cost of the additional portion to find the total cost of the ticket. For example, if the initial portion of the ticket was $5.00 and the additional portion was $2.25, the total cost of the ticket would be $5.00 + $2.25 = $7.25.
In conclusion, to find the cost of Wilson's bus ticket, we need to divide the number of additional miles he traveled beyond the first 10 miles by 0.5 to find the number of additional 1/2 miles, multiply that number by the ticket price per 1/2 mile to find the cost of the additional portion of the ticket, and then add that amount to the cost of the initial portion of the ticket to find the total cost.
Answer:$11.00
Explanation:22-2=20
20÷5=4
4÷2=2
2×$5.00=$10
additional 2 miles
2×$0.50=$1
so
$10+$1=$11.00
Bryan was selling tickets for a school play. Adult tickets cost $10 and children's tickets cost $5. If Bryan madea total of $310 in one day of sales write an equation that could represent the number of adult's
(a) tickets and children's tickets sold.
Answer:
Step-by-step explanation:
10(a)+5(c)=310
a= number of adult
c= number children
A salesperson's weekly paycheck is 15% less than a second salesperson's paycheck. The two paychecks total $1675. Find the amount of each paycheck. (Round your answers to the nearest cent.)
The amount of paycheck of Salesperson 1 and Salesperson 2 is $770 and $905 respectively.
What is Percentage?
The percentage is one of the most used methods to portray statistics. Percentage simply means "per hundred," and the sign for percentage is%. One percent (or 1%) is one hundredth of a total or whole number and is computed by dividing the whole or entire number by 100.
Solution:
Given: Paycheck of Salesperson 1 = 85% of Salesperson 2
Let, Paycheck of Salesperson 2 = x
So, paycheck of Salesperson 1 = 85/100 x
According to the question,
85/100 x + x = 1675
185/100x = 1675
x = 167500 / 185
x = 905.4$ = 905$
Salesperson 1 = 770$
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Evaluate x/y for x = 3/10 and = 4/5
A: 7/50
B: 7/15
C: 3/8
D: 12/50
Answer:The correct anserw is B.
Step-by-step explanation:
how do you solve -20 = 4(13x - 2)
Answer:
here's how you will do it hope it helps you-
Answer:
Split the variable by dividing each side by the factors that do not contain the variable.
Dạng chính xác:
x
=
−
3
13
Dạng thập phân:
x
=
−
0.
¯¯¯¯¯¯¯¯¯¯¯¯
230769
Pls i need this answered fast pls anyone
The value of x in the parallel lines is 102 degrees.
How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angle, linear angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.
Therefore, let's find the value of x using the angle relationships.
Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
Therefore,
x = 102 degrees(alternate exterior angles)
Alternate exterior angles are congruent.
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12. The point of intersection of the two lines creating a V in an absolute value graph is called the
a Center
b Origin
c Vertex
d None of the above
When two lines intersect with each other then point of intersection formed by two intersecting lines create V in an absolute value graph is known as Vertex.
As given in the question,
Given : Two lines intersect with each other .
Point of intersection of two lines formed V shape in a absolute value of the graph is known as Vertex.For example: When two rays BA and BC intersect with each other and formed V shape in an absolute value graph.Point of intersection is at point B.Here ∠ABC get formed and B is known as vertex.Therefore, point of intersection of two lines created V shape on the graph is called vertex.
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50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!!
PLEASE HELP
Which algebraic rule describes the translation of LM to L'M'?
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Caleb purchased video games for $45 each. He bought $540 worth of video games.
If x is the number of video games, which equation can be used to find the total number of video games Caleb purchased?
Answer:
y=45x-540
Step-by-step explanation:
John's salary is $25.38 per hour. He gets a raise of $0.85, what is the percent increase?
The percentage of the increment in Hohn's salary will be 3.35%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
John's compensation is $25.38 for each hour. He receives a pay increase of $0.85
The percentage of the increment is calculated as,
P = (0.85 / 25.38) / 100
P = 0.0335 x 100
P = 3.35%
The percentage of the increment in Hohn's salary will be 3.35%.
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Math hw part 3
The graph shows the number of servings in different amounts of yogurt. Write an equation that gives the number of servings, y, in x pints of frozen yogurt. You answer must be written in the form: y=1x. NO SPACES BETWEEN EACH CHARACTER!
The equation that represents the graph that gives the number of servings, y, in x pints of frozen yogurt is: y = 3x.
How to Write the Equation that Represents a Proportional Relationship?A proportional relationship graph is a straight line graph that passes through the point of origin, (0, 0), which has an equation that can be expressed in the slope-intercept form as y = kx.
"k" is the constant of proportionality, which is the ratio of y to x. k = y/x.
Given the graph above, we need to find the constant of proportionality, k. To do this, use the coordinates of one point on the graph, say (1, 3):
Constant of proportionality, k = y/x = 3/1
k = 3
To write the equation that gives the number of servings, y, in x pints of frozen yogurt, substitute k = 3 into y = kx:
y = 3x
The equation is: y = 3x.
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A clothing manufacturer made a batch of pants with a 43 inch waist. A sampling of the pants found the error factor to be 5%.
What is the smallest and largest size one can expect to find in the group.
Round the answer to two decimal places.
Smallest size= ______
Largest size= ______
Using percentage error, the error factor is ± 2.15 inches and the smallest size is 40.85 inches and largest size is 45.15 inches.
Percentage ErrorPercent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.
The formula of percentage error is given as
P.E = [(actual value - estimated value) / actual value] × 100
Since we know the percentage error and actual value, we can find the difference or actual error by;
5 / 100 = x / 43
0.05 = x / 43
x = 2.15
The increase of decrease in size is by a factor of ± 2.15
The smallest size = 43 - 2.15 = 40.85 in
The largest size = 43 + 2.15 = 45.15 in
The smallest and largest size are 45.15 and 40.85 inches respectively
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Consider parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3). Classify the parallelogram and select ALL that apply.
Group of answer choices
ABCD is a rectangle.
ABCD is a square.
ABCD is a rhombus.
ABCD is none of these.
The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal, so option A is correct.
What is parallelogram?A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.
Given data:
The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3),
Calculate the distance of sides as shown below
[tex]AB = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB = [tex]\sqrt{[-7-(-8)]^2 + (8-5)^2}[/tex]
AB = √(1² + 3²)
AB = √10
Calculate
BC = [tex]\sqrt{[-1-(-7)]^2+(6 - 8)^2}[/tex]
BC = √(36 + 4)
BC = √40 or 2√10
Similarly,
CD = √10
And AD = 2√10
Here AB = CD and BC = AD, opposite sides equal, so it is a rectangle. Therefore, the parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal.
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Evaluate the following expression when x = 28 and y = 25. -> 11(x-y)³ +
11x-31
OA. 574
OB. -15,040
OC., 241,749
OD. 376
PLS NEEDED FAST I’M GETTING TIMED THANK U SO MUCH PLS LOOK AT PHOTO!!
Order ³√97, 78/9, √45 from greatest to least.
³√97, 78/9, √45
78/9, √45, ³√97
³√97, √45, 78/9
78/9, ³√97, √45
The order of the number from greatest to least is option (B) 78/9 , [tex]\sqrt{45}[/tex] , [tex]\sqrt[3]{97}[/tex]
The given numbers are
[tex]\sqrt[3]{97}[/tex], 78/9 and [tex]\sqrt{45}[/tex]
To find the descending order of the numbers, first we have to convert the numbers to a single form
The first number = [tex]\sqrt[3]{97}[/tex]
Convert the cube root of the 97 to the decimal form
[tex]\sqrt[3]{97}[/tex] = 4.59
The second number = 78/9
Convert the simple fraction to the decimal form
78/9 = 8.67
The third number = [tex]\sqrt{45}[/tex]
Convert the root of 45 to the decimal form
[tex]\sqrt{45}[/tex] = 6.70
Compare the numbers in decimal form and write in descending order
78/9 > [tex]\sqrt{45}[/tex] > [tex]\sqrt[3]{97}[/tex]
Therefore, the descending order is 78/9 , [tex]\sqrt{45}[/tex] , [tex]\sqrt[3]{97}[/tex]
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can someone explain how that's possible
Answer:
Step-by-step explanation:
(19/3)+(7/2)
(11/2)+(13/3)
=> 6.33 + 3.5 / 5.5 + 4.33 = 1
Which function and domain could represent the given
graph?
O f(x)=1-Lx]; -3
O f(x) = 1 + Lx]; -3 ≤x≤ 3
O f(x)=-Lxl; -3 ≤x≤3
O f(x)=Lx]; -3
f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .
What is a function ?
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is a domain ?
The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Thus , from the graph it can be clearly depicted that it is representing f(x)=-Lxl for an entire range of -3 ≤x≤3 .
Hence , f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .
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Answer:
c
Step-by-step explanation:
just did assignment
Solve the problem. A company determines that if x thousand dollars are spent on advertising a certain product, then S(x) units of the product will be sold, where S(x) = -2x^3 + 12x^2 + 192x + 268 for 0 ≤ x ≤ s 11 How much should be spent on advertising to maximize sales? What is the maximum sales level?
By using the concept of maxima of a function, it can be calculated that-
He must spent $8000 to maximize sales
Maximum sales is 1548000 units
What is maxima of a function?
Maxima of a function gives the maximum value of the function within a given domain or within an interval.
Here,
S(x) = [tex]-2x^3 + 12x^2 + 192x + 268[/tex]
S'(x) = [tex]-6x^2+24x+192[/tex]
S'(x) = 0
[tex]-6x^2+24x+192=0\\-6(x^2-4x-32)=0\\x^2-4x-32=0\\x^2-8x+4x-32=0\\x(x-8)+4(x-8)=0\\(x-8)(x+4) = 0\\[/tex]
x - 8 = 0 or x + 4 = 0
x = 8 or x = -4
But x = -4 is not possible
So he must spent $8000 to maximize sales
S''(x) = -12x + 24
S''(8) = -12(8) + 24 = -72<0
Hence sales is maximum
Maximum sales = S(8) = [tex]-2(8)^3+12(8)^2+192(8)+268[/tex]
= 1548
Maximum sales is 1548000 units
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find the area of q triangle with a base of 10m and a height of 4m.
Answer:20[tex]m^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a triangle is [tex]\frac{1}{2}[/tex]bh.
b is the base value
h is the value of the height.
1/2b is 5 and 5 times 4 is 20 :)
PLS HELP
Using the table below, what is the y-intercept of the
parabola?
Answer:
The y-intercept of the table shown is (0, 1).
How to find a y-intercept of a parabola/equation?The y-intercept of the parabola can be found by verifying if any coordinates from the table has x = 0 and y = some specific value. If there is a coordinate point such that the value of both is x = 0 and y = any value, then the value of y is the y-intercept of the parabola. Further explained in example:
Example: if a line passes through a coordinate point (0, 4), the y-intercept for that line is four because the value of x is 0 and y is 4.
Solving the Problem/Question (Applying the method stated above):
From the table, we can tell that the parabola passes through the following coordinate points: (-2, -11); (-1, -4); (0, 1); (1, 4); (2, 5); (3, 4); (4, 1).
From all the coordinates, we find that (0, 1) has the value of x as 0 and the value of y as 1. Therefore, this coordinate point (0, 1) is the y-intercept.
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A rectangular garden is 20 meters wide.the perimeter of the garden is 110 meters. What is the length
Answer: the length of the garden is 35 meters
Step-by-step explanation:
The formula for perimeter is 2W+2L=perimeter
With the given information you can plug in the values and use them to solve for the length, L.
W=20 and p=110 so now plug them in and solve for L
2(20)+2L=110 multiply the 20 by 2
40+2L=110 subtract 40 from both sides
2L=70 divide both sides by 2
L= 35 meters
You can check to see if you got the right answer by plugging the L in and find p.
2(20)+2(35)=40+70=110 by getting 110 it means it is the correct value for L
What are the slope and y-intercept of the linear function that is represented by the equation y=-10x1?
Answer:
Step-by-step explanation:
y=-10x1 = -10
y intersects at -10 as a horizontal line.
I need help with this question
Answer:
the correct answer is 3
hope it is right
The answer to the expression is 3
Help !! Pls :3:’dnmdnsnms
The reason for the similarity of the triangles FGH and JHK is given as follows:
HL.
What are the similarity theorems?The similarity theorems are listed as follows:
SAS: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent by the SAS theorem.ASA: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent by the ASA theorem.SSS: If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are congruent by the SSS theorem.SSA: If two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are congruent by the SSA theorem.The similarities between the triangles FGH and JHK are given as follows:
Angles G and H are equal -> right angles.Sides GH and HK are congruent.Sides FH and JK are congruent.As they are right triangles, the remaining side should also be equal, according to the trigonometric ratios, hence the theorem is the SSS theorem, also called HL theorem.
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Find the circumference and the area of a circle with radius 8 cm.
Use the value 3.14 for TT, and do
not round your answers. Be sure to include the correct units in your answers.
Answer:
Area: 200.96
Circumference: 50.24
Step-by-step explanation:
Area: π* r²
Circumference: 2* π*r