Answers
Problem 1
w = width
w+36 = length, because it's 36 feet longer compared to the width
=======================================================
Problem 2
The area w(w+36) is less than 2040, and it's also larger than 0.
We can write that as [tex]0 \le w(w+360) \le 2040[/tex] which is the same as [tex]0 \le w^2+360w \le 2040[/tex]
If you wanted to drop the first part, then you can say either [tex]w(w+360) \le 2040[/tex] or [tex]w^2+360w \le 2040[/tex]
I used the formula area = length*width
=======================================================
Problem 3
There are many possibilities here. Let's say w = 10 feet. If so then the length would be w+36 = 10+36 = 46 feet. This 10 by 46 rectangle has an area of 10*46 = 460 square feet which is under the 2040 sq ft limit.
Another possibility is that w = 20 ft and w+36 = 56. This 20 by 56 rectangle has an area of 20*56 = 1120 sq ft.
It turns out you can pick any value of w between 1 and 30, assuming you only restrict yourself to integers. You can find the largest possible value of w by solving the equation w(w+36) = 2040. The positive solution to this equation is roughly w = 30.62
Side note: even though something like w = 1 is possible, it's not very realistic. A conference hall that's only 1 ft wide won't be able to fit a person comfortably unless they don't mind being sandwiched between two walls and have to walk sideways.
=======================================================
Problem 4
If you solved w(w+36) = 360 with a graphing calculator or the quadratic formula, then you would find the positive solution for w is roughly 8.15
If your teacher is considering positive real numbers, then this is realistic; however, if they are only considering positive integers, then something like w = 8.15 isn't possible.
Related Questions
What is the answer to -123 / -12
Answers
10.25 Ok but I dunno how to explain sorry but is right (Probably)
Hope U have a great day!
Answer:
10.25
Step-by-step explanation:
-123 divided by -12 is 10.25
1) X + 6 = 50 pls help no links
Answers
Answer:
the correct answer is x=44
x +6 = 50
x = 50-6
x = 44
Answer:
X= 50-6
=44
ALso mark me brainliest
EMERGENCY PLS
Working out/answer pls
1.) 16 divide 4 - 2 =
2.) (22 divide 2) x (15 divide 3) =
Answers
Answer: Number 1= 2
Number 2= 55
Step-by-step explanation:
1. 16 divided by 4 is 4, 4-2=2
2. 22 divided by 2 is 11, 15 divided by 3 is 5, 11x5=55
Answer: Q1.=2
Q2.=55
Step-by-step explanation:
"Write the equation in point-slope form that goes through the point (-8,-6) and has a slope m=-5/6"
Answers
Answer:
Step-by-step explanation:
y
+
8
x
+
2
=
5
6
Explanation:
Given a point
(
a
,
b
)
and a slope of
m
the slope-point form may be written as:
XXX
y
−
b
x
−
a
=
m
or (equivalently)
XXX
y
−
b
=
m
(
x
−
a
)
Substituting
(
−
2
,
−
8
)
for
(
a
,
b
)
and
5
6
for
m
we get
XXX
y
+
8
x
+
2
=
5
6
or
XXX
y
+
8
=
5
6
(
x
+
2
)
What does the word sustainable mean
unreasonable
was on display
unfounded
from an ongoing or reusable source
Answers
Answer:
D.
Step-by-step explanation:
sustainable means from an ongoing or reusable source
Need help with these two questions. Whoever helps I want to say god bless u and thank you for your time to help me.
Answers
Step-by-step explanation:
m∠VWT = m∠TUW + m∠VUW
m∠VWT = 7x - 7 + 3x + 7
m∠VWT = (7 + 3)x + (-7 + 7)
m∠VWT = 10x°
MK = MX + XK
MK = 7x - 1 + 5x + 1
MK = (7 + 5)x - 1 + 1
MK = 12x
for each pair of similar triangles find the ratio of two side lengths. How do the ratios compare
Answers
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.Step-by-step explanation: ratios
How many kgs does a 150 lbs. person weigh? 1 lbs. = 0.45 kgs
Answers
Answer:
About 68.03
Step-by-step explanation:
Which school is equidistant from the subway stations at union square and 14th street?
Answers
Answer:
Adam's school is the school that is equidistant from the subway stations at union square and 14th street
(6×10²)(8×10³) Por favor una respuesta , lo necesito para hoy
Answers
Answer:(4x2)(10^3x10^2)8x10^5Listo ahi está
Step-by-step explanation:
600x8000
4800000
Use the vertical line test to determine if the graph represents a function. Type in yes or no for your answer. Please answer as soon as possible !!!
Answers
Answer:
No
Step-by-step explanation:
fail the vertical line test. For x=1, we have 2 correesponding Ys. This is not a function.
Hi there!
The graph is a relation.
It doesn't pass the Vertical Line Test. This test is just a vertical line.
If it touches the graph once, then the graph is a function.
If it touches the graph more than once, then the graph is a relation.
Here, the vertical line touches the graph more than once, so the graph is a relation.
Type: no
Therefore, our answer is: noHope this helps!
~Just a felicitous girlie
#HaveAnAwesomeDay
[tex]SilentNature :)[/tex]
what is the value of T?
Answers
H is the midpoint of the parallelogram. So, FH = HD.
FH = HD
2t - 37 = 3t - 78
2t - 3t = -78 + 37
-t = -41
=》 t = 41
_____
RainbowSalt2222 ☔
30 miles per hour over a period of 10seconds
Answers
……………………….
At Health Hair, the cost of a children's haircut, x, is $4 and the cost of an adult haircut, y, is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation and solve the system and interpret the answer.
Answers
Answer:
x + y = 42
4x + 14y = 568
x = 2, y = 40
Step-by-step explanation:
x + y = 42
4x + 14y = 568
to solve, you can let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:
4(42-y) + 14y = 568
168 - 4y + 14y = 568
168 + 10y = 568
10y = 400
y = 40
therefore, x = 2
check:
4(2) + 14(40) should equal 568
8 + 560 = 568
2x + 3y = -6
4x + 6y = -12
how many solutions does this equation have?
Answers
Answer:
Infinite/Many solutions
Step-by-step explanation:
If u divide 4x+6y=12 then u get 2x+3y=6 so that means there’s infinite solutions
For questions 4a–4d, choose Yes or No to tell if the number 7.15 will make each equation true.
4a) 4.95 +7.15= 12.1 ○ Yes○ No
4b) 10.82 - □=3.77 ○ Yes○ No
4c) 8.47 + □ =15.52 ○ Yes○ No
4d) 9.14 - □= 1.99 ○ Yes○ No
Answers
4b. No
4c. No
4d. Yes
How could we simplify 3 2/5 + ( -7 1/5 ) = 3 + ( -7) + 2/5 + (- 1/5)
Answers
Answer:
6.5
Step-by-step explanation:
What is the answers for the missing ratio boxes?
Answers
Not sure on this one either
Answers
Answer:
B. 113
Step-by-step explanation:
Since ∠AGF is 67° the that would mean that ∠GFE is also 67°, and since it is a Trapezoid, all the angles should add up to 360°. So we have both of the 67's so that means we have 67+67, and the other two angle need to be the same, but to find those we need to do 67+67 = 134, and 360-134=226, and half of 226 will be 113, which is the angle for both of the missing angles, and is the missing angle u are looking for
resuelve e indica las raices 2x ^2 - x - 3 - 5 = 0
Answers
Answer:
wwwwwwwwwwwwwwwwwwww
Simplify 18.03 – 3(12.7 + 8.06) ÷ 2.
Answers
letter a
step by step Explanation
18.03-3(12.7+8.06)/2
=18.03-(3)(20.76)/2
=18.03-62.28/2
=18.03-31.14
=-13.11
hope this help you!
The population of a town changed by -16.2% over 3 years. What was the average change per year?
Fill in the blank.
Answers
years as Chair of the Statistics Department before becoming Associate Dean. She received an M.S. in. Mathematics and a Ph.D. in Applied Statistics from.
Step-by-step explanation:
Answer:
-5.4 is the average change per year
Melinda ran 8,791 meters on Monday and 2,899 meters on Tuesday. How many more meters did she run on Monday than on Tuesday?
Answers
Answer:
8,791- 2,899= 5892
Step-by-step explanation:
Melinda ran 5,892 more meters on monday than tuesday
There is a line that includes the point (0, 4) and has a slope of 9. What is its equation in
slope-intercept form?
Answers
Answer:
y = 9x + 4
Step-by-step explanation:
The slope-intercept equation is
y = mx + b
M = slope
B = y-intercept.
From the point, we know the line intercepts y at 4. So the y-intercept is 4.
Now the slope is 9.
Now insert the numbers:
y = 9x + 4
The sides of a rectangle are 4t-1 and 5t+9. Write an expression for the perimeter of the rectangle.
Answers
Answer:
18t-16
Step-by-step explanation:
Perimeter of rectangle
= 2(4t-1)+2(5t+9)
= 8t-2+10t+18
= 18t-16
I need help on this
Answers
Answer:
B
Step-by-step explanation:
180 - y + z = x {Exterior angle property}
z = x - 180 + y
z = x + y - 180
Find the perimeter of ABCD
Answers
Answer:
157
Step-by-step explanation:
We can see that both of the figures are congruent! Judging from their angles. Since they are congruent, they have equal sides. We can assume that both have the same sides of each other. So all we have to do is add up all the sides.
I need help with is one
Answers
Answer:
Hypotenuse is the longest slanting side
Step-by-step explanation:
Without an angle to consider, the other two could fit in any position
Refer to the attachment
Please help as soon as possible.
Answers
Answer:
Step-by-step explanation:
this is a continuous function
it passes the vertical line test and have 2 zeros: -1 and 2;
the domain is from negative infinity to infinity
the range is [tex][-3, \infty][/tex]
25-3n work out the first three terms of the sequence
Answers
Answer:
25 - 3n workout the value of the first negative term of the sequence? The letter n corresponds with the number of the term, so the first term would be 25 - 3 (1). The second would be 25 - 3 (2) and so on. To find the number term you could plug in each number until you found your answer, so plug in 3, then 4, then 5 etc.
Step-by-step explanation:
CAN I GET BRAINLIEST
Answer:
25 - 3n workout the value of the first negative term of the sequence? The letter n corresponds with the number of the term, so the first term would be 25 - 3 (1). The second would be 25 - 3 (2) and so on. To find the number term you could plug in each number until you found your answer, so plug in 3, then 4, then 5 etc.
Step-by-step explanation:
