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.
I really need help with this question!!
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?
Answer: $9.00
.......................................
For any two integers a and b, (a + b)² = a² + b²
Answer:
wrong
Step-by-step explanation:
(a+b)^2=(a+b)(a+b)
=a(a+b)b(a+b)
=a^2+ab+ab+b^2
=a^2+2ab+b^2
i hope it helps you
Geometry
Please help me with my homework! Thank you!
Answer:
BC, FG, EH.
Step-by-step explanation:
I will give 15 points please help!
Answer:
b
Step-by-step explanation:
will mark the brainiest.
Answer:
11.95
i think
Step-by-step explanation:
Please help ASPA thanks
What is it that you need help with im in Algebra 1
What is the first step to solve for n
in the following equation?
3n - 7 = 30
Answer:
n = 37/3
n = 12 1/3
Step-by-step explanation:
Hi there !
3n - 7 = 30
3n = 30 + 7
3n = 37
n = 37/3
n = 12 1/3
Good luck !
PLEASE ANSWER!
Using the given zero, find one other zero of f(x).
4 - 5i is a zero of f(x).= x4 - 8x3 + 42x2 - 8x + 41.
answers
A)-4 - 5
B)1
C)1-1
D)4 + 5i
What distance did the bus travel???
Answer:
495km
Step-by-step explanation:
180 km in 4 hours means x km in 11 hours.
Cross multiply and you'll find x as 495 km
How do I find all of the angles for this and what equations would I use to find angle 2,3,4,5,7, &8?
Answer:
<2 = supplementary angle=180-110=70
<3 = supplementary angle=180-110=70
<4 = opposite angles=110
<5 = 110 (corresponding angle)
<7 = 70 (corresponding to angle 3)
<8 = 110 (corresponding to angle 4)
Step-by-step explanation:
<2 = supplementary angle=180-110=70
<3 = supplementary angle=180-110=70
<4 = opposite angles=110
<5 = 110 (corresponding angle)
<7 = 70 (corresponding to angle 3)
<8 = 110 (corresponding to angle 4)
You don't need to solve for x to find any of those angles. If you want to anyway:
4x+10=70
4x=70-10
4x=60
x=60÷4
x=15
Help please It would mean a lot
the answer is 3/5
if that's not right I apologize
Answer:
3/5
Step-by-step explanation:
When dividing fractions, you change the division sign to multiplication and also flip the fraction that you are multiplying with.
So: 2/4 would become 4/2
3/10 x 4/2
12/20
Highest common factor between 12 and 20 is 4.
Divide both sided by 4:
3/5
Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.
Using the above technique, find the equation of the line containing the points (-2,7) (4,-2)
Equation of a line = y = mx +b
m = slope = change in y over the change in x
b = y intercept:
m = (-2 - 7) / (4 - -2) = -9/6 = -3/2
Now you have y = -3/2x + b
Use one of the points, replace y and x and solve for b:
7 = -3/2(-2) + b
Simplify:
7 = 3 + b
Subtract 3 from both sides:
b= 4
The equation is y = -3/2x + 4
Step-by-step explanation:
Hey there!.
The equation of a st.line passing through points (-2,7) and (4,2) is;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 7) = \frac{2 - 7}{4 + 2} (x + 2)[/tex]
Simplify it to get answer.
[tex](y - 7) = \frac{ - 5}{6} (x + 2)[/tex]
[tex]6(y - 7) = - 5(x + 2)[/tex]
[tex]6y - 42 = - 5x - 10[/tex]
[tex]5x + 6y - 42 + 10 = 0[/tex]
[tex]5x + 6y - 32 = 0[/tex]
Therefore the required equation is 5x+6y-32=0.
Hope it helps...
calculate the area of the shaded region at right. use the appropriate units.
Pls help! Will reward brainliest, thanks!
Which element has the greatest average atomic mass?
A. iodine
B. bromine
C. tellurium
D. krypton
Answer:
the answer is option letter c. tellurium
what is the first integer to the left of -6.1 on the number line?
Answer: -7
The integer to the right is -6
See the diagram below.
HELP ME MANN I HATE MATH
Answer:
$12 a week
Step-by-step explanation:
If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.
Answer:
Don't hate math because math is very important in our lives
Which expression has a value of 90?
Explain why the slope of line is 26.
Answer:
Your question is lacking some details.
However, slope is determined by rise over run. You can get the rise by subtracting the change in y-values (coordinates) and the rise by subtracting the change in x-values (coordinates) .
Having 26 as slope means that the slope has gone up 26 units in the coordinate plane then 1 unit to the right.
Step-by-step explanation:
Factor and Solve.
x^4-11x^2+18=0
Last option is the correct answer
x= √2, −√2, 3, −3
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:
1) [tex]2\cdot x >10[/tex] Given
2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]
But if [tex]c < 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]
Hence, correct answer is A.
What is the value of x?
O 78
0 84
o 96
O 102
Answer:
96°
Explanation
Given problem:
Find the value of x in the diagram;
Given that lines a and b are parallel lines and transversal c cuts through them;
the two given angles are said to be equal and alternate angles;
So;
99 = x + 3
x = 99 - 3 = 96°
The value of x is 96°
Please help me with all these questions will mark as brainlists
Answer:
The fourth one Its tell you to add or miners or multiple
Step-by-step explanation:
And then the rest is telling you to explain you answer using your own words.
what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2
Answer:
see explanation
Step-by-step explanation:
The general expansion of (a + b)² is
(a + b)² = a² + 2ab + b²
Applying this to the following expansions
(1)
(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²
(2)
(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x
(3)
(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16
(4)
(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²
(5)
(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy
A Turtle traveled 1/10 mile in 1/2 hour. What was the turtle’s rate in miles per hour?
A.1/20
B.1/12
C.1/6
D.1/5
−2(−4n + 1)+5(25n − 8)=−62.
Answer:
bet
Step-by-step explanation:
Answer:
n=-20/133
Step-by-step explanation:
Use the distributive property to multiply −2 by −4n+1.
8n−2+5(25n−8)=−62
Use the distributive property to multiply 5 by 25n−8.
8n−2+125n−40=−62
Combine 8n and 125n to get 133n.
133n−2−40=−62
Subtract 40 from −2 to get −42.
133n−42=−62
Add 42 to both sides.
133n=−62+42
Add −62 and 42 to get −20.
133n=−20
Divide both sides by 133.
n=-20/133
Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.
n=−20/133
what am I supposed to do here? I need help
Answer:
B = 5.5
Step-by-step explanation:
Take 5 to R.H.S,
4b=22,
b=22/2,
b=5.5
If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *
Answer:
When b = 28 and c = 4, then a = 56
Step-by-step explanation:
We need to write the equation first
This is an example of a combined variation
if a varies directly as b and inversely as c;
then a = bk/c
where k is the constant of proportionality
We find k first;
16 = (12 * k)/6
k = (6 * 16)/12 = 8
We now want to find a
a = kb/c
a = (8 * 28)/4 = 7 * 8 = 56
A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.
x = profit
y = toys
x = Toy A
y = Toy B
x = Toy A
y = profit
x = Toy B
y = Toy A
Answer:
Step-by-step explanation:
a b