physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are adjacent to each other and a 2-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 1200 ft^2. What is the side length of each booth?
Answers
Answer:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
[tex]11x^{2}[/tex]+22x+24x+48=1200
[tex]11x^{2}[/tex]+46x+48-1200=0
[tex]11x^{2}[/tex]+46x-1152=0
Solve using quadratic formula
x=[tex]\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}[/tex]
x=[tex]\frac{-46+/-\sqrt{2116+50688} }{22}[/tex]
x=[tex]\frac{-46+/-\sqrt{52804} }{22}[/tex]
Simplify it
[tex]x=\frac{-49+/- 229.79}{22}[/tex]
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
Related Questions
Plzz help me!!!!!!!!!!
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Answer:
50
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary). ( 3 , − 3 ) and ( 7 , − 8 )
Answers
Answer:
6.4 units
Step-by-step explanation:
c = √(x1 - x2)^2 + (y1 - y2)^2
c = √(3 - 7)^2 + (-3 + 8)^2
c = √(-4)^2 + (5)^2
c = √16 + 25
c = √41
c = 6.4031...
c = 6.4
The width of a rectangle is 9 cm less than twice the length. the perimeter is 72 cm. What is the length and width
Answers
9 times 9=72
Step-by-step explanation:
if if the width is 9 then the length is 9 because 9 times 9 equals 72
Answer:
The length is 15
The width is 21
Step-by-step explanation:
Say the length of the rectangle is x.
Then, the width would be 2x-9.
You can use this to make the equation
x+x+2x-9+2x-9=72
6x-18=72
6x=90
x=15
2x-9=30-9=21
Therefore,
The length is 15
The width is 21
help pls im so confused
Answers
Determine the value of y, if x is 3.
y = | x | + 5
Answer:
Answers
Answer:
y=8
Step-by-step explanation:
l3l=3
3+5=8 so y=8
The troposphere is the region that starts at Earth's surface and ends between ____ km and ____ km above Earth.
Answers
Answer:85-500
Step-by-step explanation:
Answer:
The troposphere is the region that starts at Earth's surface and ends between 8 km and 20 km above Earth.
Step-by-step explanation:
Help......,...........
Answers
66 degrees
Thing you have to know for these types of problems: The total measure of all angles is 180 degrees.
With that in mind, if we add 83 and 31, we get 114 degrees.
Now subtract from 180 and you will get 66 degrees.
Hope this helps, Please mark branliest if it did
11. |-8| + |6| =
12. |-3| +8 =
13.12 + |-13| =
14.6 + |4||
15. -14-16| =
Answers
Answer: ( -8)+(6)= 14
(-3)+8 = 11
12+(-13) = 25
-14-16= -30
6+(41) =47
someone help solve it please
Answers
Answer: 10
Step-by-step explanation:
The x-intercepts means when y equals 0, or when the function crosses the x-axis.
0 = (x-6)^2 - 16
16 = (x-6)^2
Take the square root of both sides:
4 = (x-6)
Add 6 to both sides to get:
x = 10
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $230 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $7600. How many first class tickets did she buy? How many coach tickets did she buy?
Answers
You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
I REALLY NEED HELP FOR SOLVING X!
(25 Points)
Answers
Answer:
105°
Step-by-step explanation:
25+50+x=180
75+x=180
x=105
Answer:
x = 105°Step-by-step explanation:
sum of interior angles = 180
25 + 50 + x = 180
x = 180 - 25 - 50
x = 105°
solve for the variable 2y+3=15 y=
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
2y+3=15
2y=12
y=6
Jon answered 20 questions correctly on a 50-question test. Which does NOT
represent the part of the test he answered correctly?
Answers
Answer: .86
Step-by-step explanation: Percentages can represent sale prices, such as 20 percent off, success rates, such as getting 86 ... Enter the portion you are converting to a percentage in the calculator. ... For example, if there were a total of 50 question on the test, enter "50." ... For example, if a student got 43 out of 50 questions correct, your answer is .86.
5. What are the two most common
causes of chemical weathering?
6. Oxygen combining with rocks and
minerals is called
Erosion
Oxidation
Can you guys please help me I’ll give y’all brainlest whatever it’s called I just started 6th grade and I’m new to this please help !?
Answers
Based on the sample standard deviation value, the
temperature each day during this time period varied by
about ✓ from the
of 38.11°F. If the
next recorded temperature is 56°F, the standard
deviation would
Answers
Answer:
3.66, mean, and increase
Step-by-step explanation
Answer:
3.66, mean, and increase
Step-by-step explanation:
Which graph best represent the solution to this system of inequalities? 2x ≤ y – 1
2x – 5y ≤ 10
Answers
Help with all these plz!
Answers
Answer:
9 10 10 17 3
Step-by-step explanation:
Evaluate the expression:
3(a + b - 3) - 2(2a + b - 4) when a = -1 and b = 1
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Answer:
1
Step-by-step explanation:
What is the constant proportionality?
Answers
Answer:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. ... The constant of proportionality does is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Constant of proportionality means slope which can be represented as y=mx+b, y=kx and a ton of other stuff I don't know.
But lets take it as y=kx because it's easier. Constant of proportionality/slope is k so its C, 5.5.
what is the first integer to the left of -6.1 on the number line?
Answers
Answer: -7
The integer to the right is -6
See the diagram below.
Find the slope of a line parallel and perpendicular to the line with given coordinates: (7, -2) and (1, -3).
Answers
Answer:
[tex]m=\frac{1}{6}[/tex] (Parallel)
[tex]m=-6[/tex] (Perpendicular)
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-3-(-2)}{1-7}[/tex]
[tex]m=\frac{-3+2}{-6}[/tex]
[tex]m=\frac{-1}{-6}[/tex]
[tex]m=\frac{1}{6}[/tex]
A parallel line always has the same slope as the original.
[tex]m=\frac{1}{6}[/tex] (Original)
[tex]m=\frac{1}{6}[/tex] (Parallel)
A perpendicular line always has the negative reciprocal slope of the original.
[tex]m=\frac{1}{6}[/tex] (Original)
[tex]m=-6[/tex] (Perpendicular)
Help please and thxxx
Answers
Answer:
e
Step-by-step explanation:
YALLLL HELPPP
Question 2 of 10
If a country is taking action to increase its overall productivity and make sure
its businesses are successful, it is pursuing which economic goal?
A. Per capita improvement
O B. Economic growth
C. Stable prices
O D. Full employment
SUBMIT
Answers
Answer:
B.Economic growth
Step-by-step explanation:
per capita income can't be just improved by making a business successful
stable prices need a good income and that's not a point given in the question
Making business successful doesn't make all the citizens employed. so the most relevant answer is economic growth as grown business in a country provides tax and thus ensures the economic growth
What early human development was necessary for survival in cold environments?
A finding shelter in caves
B banding together in clan groups
C wearing wool clothing for warmth
D creating language to communicate
Please: It is not C, so do not bother with that. I checked several others and people have different answers. If it right, i will mark brainliest
Answers
what is three plus three
Answers
Answer:
6
Step-by-step explanation:
Because 3 plus 3 is 6
3 + 3= 6 everyone knows this, not everyone but mostly everyone
Evaluate the expression if a = -3, b = 64, c = 4, and d = 36.
4a? + 2c
Answers
Answer:
-4
Step-by-step explanation:
4(-3)+2(4)=-4
A science club at Emily’s middle school has 25 members. Only 40% of the members attended Saturday meetings. What is the number of members that attended the Saturday meetings?
A. 6
B. 9
C. 10
D. 15
(Will give brainliest and a heart)
Answers
My favorite way to solve problems like this is to use a calculator.
On your calculator you are going to do 25 times 0.40 which is the percentage converted into a decimal.
Whatever you get should be your answer! You can do this with other problems also!
an object starts from rest and accelerates at a rate of 4 m/s^2 for 3 seconds. What is its displacement from the start position?
Answers
Use the drop-down menus to complete each statement.
The function
has the same amplitude as the function y = cos(x – 4) + 1.
The function
is a translation of the parent cosine function.
Answers
Answer: the function y = cos(2x) - 2 and the function y = cos(x) - 3
Step-by-step explanation: just took it
Function [tex]y=cos2(x)-2[/tex] and function [tex]y=cos(x)-3[/tex].
Function:A function in mathematics from a set [tex]x[/tex] to a set [tex]y[/tex] allocates exactly one element [tex]y[/tex] to each element [tex]x[/tex]. The sets [tex]x[/tex] and [tex]y[/tex] are collectively referred to as the function's domain and codomain, respectively.Initially, functions represented the idealized relationship between two changing quantities. A planet's position, for instance, depends on time. In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable (that is, they had a high degree of regularity).Solution -
The function which has the same amplitude as the function [tex]y=cos(x-4)+1[/tex] and is the translation of the parent cosine is as follows:
[tex]y=cos2(x)-2[/tex][tex]y=cos(x)-3[/tex]Therefore, function [tex]y=cos2(x)-2[/tex] , and function [tex]y=cos(x)-3[/tex].
Know more about the functions here:
https://brainly.com/question/2833285
#SPJ2
Which of the following can you add/subtract?
A) 5√4 + 6√4
B) 3√7 − 3√5
C) 9 √ + 39√
Answers
Answer:
A
Step-by-step explanation:
you can only +/- an equation like this with the same square root
