Answers:
section A = 25,000 seats
section B = 14,200 seats
section C = 10,800 seats
Your teacher may want you to leave out the commas from each number.
=============================================================
Work Shown:
A = number of seats in section AB = number of seats in section BC = number of seats in section CA = B+C
A+B+C = 50,000
B+C+B+C = 50,000
2(B+C) = 50,000
B+C = 50,000/2
B+C = 25,000
C = 25,000 - B
25A + 20B + 15C = 1,071,000
25(B+C) + 20B + 15C = 1,071,000
25(25,000) + 20B + 15(25,000 - B) = 1,071,000
625,000 + 20B + 375,000 - 15B = 1,071,000
1,000,000 + 5B = 1,071,000
5B = 1,071,000 - 1,000,000
5B = 71,000
B = (71,000)/5
B = 14,200 is the number of seats in section B
C = 25,000 - B
C = 25,000 - 14,200
C = 10,800 is the number of seats in section C
A = B+C
A = 14,200 + 10,800
A = 25,000 is the number of seats in section A
--------------
Check:
A+B+C = 25,000+14,200+10,800 = 50,000
Solve.
(-2/3)(-1/4)
A. -2/7
B. -2/12
C. 2/12
D. 2/7
Answer:
C. 2/12
Step-by-step explanation:
multiplication and when two negatives are multiplied together they always equal a positive i hope this helps have a great day :)
what are Two numbers that can add to 7 but multiply to -30
[tex]x + y = 7~~~.....(i)\\\\xy=-30~~~~......(ii)\\\\\\\text{From (ii):}\\\\y= -\dfrac{30}x~~~~....(iii)\\\\\\\text{Substitute equation (iii) in equation (i):}\\\\\\x- \dfrac{30}x = 7\\\\\implies x^2 -30 = 7x\\\\\implies x^2 -7x -30 =0\\\\\implies x^2 -10x +3x -30 =0\\\\\implies x(x-10) +3(x-10) =0\\\\\implies (x+3)(x-10)=0\\\\\implies x = -3 ~~\text{or}~~ x=10\\\\\text{Substitute x = 10 in equation (iii):}\\\\\\y= -\dfrac{30}{10} =-3\\\\[/tex]
[tex]\text{Substitute x = -3 in equation (iii):}\\\\y = \dfrac{-30}{-3} =10\\\\\\\text{So, (x,y) =(10,-3) and (x,y)=(-3,10)}\\\\\\\text{Hence, the two numbers are}~ 10~ \text{and}~ -3.[/tex]
Complete all 4 problems
Answer:
7)-6a
8)7
9)x-1
10)8-k
Step-by-step explanation:
Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer
Answer:
7. -6a
8. 6x +5
9. x + 1
10. -k + 8
Step-by-step explanation:
7. A=1 1-7= -6 a - - 7a = -6a
8. 3x + 3x= 6x
6-1=5
6x+5
9. -8x + 9x = x
3-2 =1
x+1
10. 4+4 =8
k- 2k= -k
-k + 8
hi please help, I can't understand.
If the sides of a rectangle with area 12cm² are (3x-2) and (x+1)
a)X-? b)P-?
[tex](3x - 2)(x + 1) = 12 \\ = > {3x}^{2} - 2x + 3x - 2 = 12 \\ = > {3x}^{2} + x - 2 = 12 \\ = > {3x}^{2} + x - 12 - 2 = 0 \\ = > {3x}^{2} + x - 14 = 0 \\ = > {3x}^{2} + 7x - 6x - 14 = 0 \\ = > x(3x + 7) - 2(3x + 7) = 0 \\ = > (x - 2)(3x + 7) = 0 \\ = > x = 2 \: \: \: or \: \: \: \frac{ - 7}{3} \\ [/tex]
But a negative number cannot be the side of a rectangle.So, x = 2 cmNow, length = (3x - 2) = (3 × 2 - 2) cm = (6 - 2) cm = 4 cmBreadth = (x + 1) = (2 + 1) cm = 3 cm.We know, perimeter of a rectangle = 2( length + breadth)Therefore, the perimeter of the rectangle[tex] = 2(4 + 3)cm \\ = 2 \times 7cm \\ = 14cm[/tex]
Answer:
The value of x is 2 cm and the perimeter of the rectangle is 14 cm.
Hope you could get an idea from here.
Doubt clarification - use comment section.
While Jayden was at school, his house lost electrical power. By
the time the electrical power came back on the temperature inside the
house was 86°F. The air conditioner immediately started to cool the
house.Let f(x) represent the temperature, in degrees Fahrenheit, of
Jayden's house x minutes after the air conditioner started to cool the
house.What is the meaning of the statement f(25)=78?
Answer:
after 25 minutes the temperature was at 78 degrees
Step-by-step explanation:
23. What lines intersect to form the circumcenter of a triangle?
angle bisectors
midsegments
altitudes
perpendicular bisectors
Answer:
(d) perpendicular bisectors
Step-by-step explanation:
The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.
The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.
18)
Solve for x.
х
40
= 4
A)
16
B)
36
160
D)
176
A worker earns $30 every 4 hours. How much would the worker earn in 19 hours?
Step-by-step explanation:
30/4 = 7.5 per hour
now,
7.5 × 19 = 142.5
$142.5
Answer:
$142.50
Step-by-step explanation:
30 divide by 4 = 7.5
So each hour the worker would earn $7.50
7.5 x 19= The worker will earn 142.50 after working 19 hours.
what is the 5th multiple of 6
Answer:
30
Step-by-step explanation:
What is 6, 5 five times?
Or 5x6?
F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample
HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz
Answer:
Convenience sample
Step-by-step explanation:
Getting paid to respond
i need atleast 5 volunteers for the magic trick
What magic trick??
Are you gonna do a magic??
Sorry for a lot of questions.
How many solutions do 5-2x=2x-5
Answer:
1 solution is the answer
Find the value of x. (3 points each)
(2x + 1)
(x - 43)
A) 81
C) 80
B) 74
D) 86
Answer:
x+43[tex]1\frac{x}{y} 2[/tex]
Step-by-step explanation:
What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
Answer:
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope of line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then
y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form
To find c substitute (3, 2 ) into the partial equation
2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line
Please help!!!! :) thank you!
Answer:x-3
Step-by-step explanation:
pls help due soon i’ll mark brainliest
I can't see anything dude, you on something?
what is the ration of 8 lions and 4 tigers
Answer:
the ration is 2:1 when simplified
Solve the proportion
x/10=9/5
Answer:
X = 10*9/5
= 2*9
= 18
Answer = 18
Answer:
[tex]x=18[/tex]
Step-by-step explanation:
First way (equivalent fractions):
[tex]\frac{x}{10}=\frac{9}{5}[/tex]
[tex]\frac{x}{10}=\frac{18}{10}[/tex]
[tex]x=18[/tex]
Second way (cross multiplication):
[tex]\frac{x}{10}=\frac{9}{5}[/tex]
[tex]5x=90[/tex]
[tex]x=18[/tex]
Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 6 months?
Answer:
Fv = Pv(1 + i/m ) n×m
=60 000(1 + 0.12/2) 1×2
=60 000(1.06) ²
=60 000×1.1236
=67 416
SOLVE FOR ASA
-GEOMETRY
Step-by-step explanation:
Hope It Helps You
Here You Answer
1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1
Answer:
C.
Step-by-step explanation:
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
Write them in ascending order:
1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.
The mean = sum of the numbers / 11
= 80/77
= 7.3.
The median = the middle number
= 7.
The mode = the number which occurs most
= 1.
Pls help me
With the hard math problem
Answer:
A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to SpringfieldHoped this helped.
[tex]BrainiacUser[/tex]
1/3 times 3/4 times 1/3 as a fraction so basically what is 0.08333333333 as a fraction
Answer:
mark me brainliest
Step-by-step explanation:
To write 0.08333333333 as a fraction you have to write 0.08333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.08333333333 = 0.08333333333/1 = 0.8333333333/10 = 8.333333333/100 = 83.33333333/1000 = 833.3333333/10000 = 8333.333333/100000 = 83333.33333/1000000 = 833333.3333/10000000 = 8333333.333/100000000 = 83333333.33/1000000000 = 833333333.3/10000000000 = 8333333333/100000000000
And finally we have:
0.08333333333 as a fraction equals 8333333333/100000000000
Answer:
Step-by-step explanation:
Its 1×3×1 on top And 3×4×3 on the bottom. That is 3/36, but simplify it...that's 1/12 if you answer has a one on top, you could take your .08333 and use the x^-1 button on your calculator. Also there are calculators that do fraction to decimal and decimal to fraction conversions. They have buttons like F>D and D>F
algebra 1
F(x) passes through 0, -1 and 5 , 14
G(x) passes through -6 , -1 and -1, 14
Describe two types of transformations that can be used to transform f(x) to g(x)
Solve for k in each type of transformation.
Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $37,500.
a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?
a. The down payment is __?__% of the purchase price.
(Type a whole number.)
b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)
Divide the down payment by the purchase price then multiply by 100 to get the percent.
A. 37,500 / 150,000 = 0.25
0.25 x 100 = 25%
B. 67,500/150,000 = 0.45
0.45 x 100 = 45%
WILL MARK BRAINLIST
What is the solution to this system of equations?
(I suggest using the elimination method by multiplying the first equation by 3.)
2x + y = 20
6x - 5y = -4
Points earned for putting your solution as an ordered pair. If work is shown, partial credit can be earned.
[tex]2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}[/tex]
Answer:
(x,y) = (6, 8); please give Brainliest if this helped you
Step-by-step explanation:
What is 5 1/4 ➗ -2 1/2 equal to?
Answer:
-2.1
Step-by-step explanation:
Answer:
Hi, I hope i'll help you.
Step-by-step explanation:
The answer is 2.1, hope it helps!
Please help! I highly appreciate it! :D
[tex]\huge \bf༆ Answer ༄[/tex]
Total surface Area of the cuboid is ~
[tex] \sf2(lb + bh + lh)[/tex][tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex][tex] \sf2[48 + 20 + 60][/tex][tex] \sf2(128)[/tex][tex] \sf256 \: \: ft {}^{2} [/tex]Surface area = 256 ft^2
Surface area (SA) = Total area on the Surface only
SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)
SA = 2(12x5) + 2(4x5) + 2(12x4)
SA = 120 + 40 + 96
SA = 256 ft^2
The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer
The value of k to the nearest integer is 21
Let the number of international tourist arrivals in Russia in 2011 be kIf the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:
k = 24.7 - (13% of 24.7)
k = 24.7 - (0.135 * 24.7)
k = 24.7 - 3.3345
k = 21.3655
Hence the value of k to the nearest integer is 21
Learn more on decrement here: https://brainly.com/question/24304697
simplify
answer it
b)
Answer:
a) 8x + 5x = 13x
b) 9f + 10f - 12f = 7f
Step-by-step explanation:
For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)
So 9 + 10 = 19, and 19 - 12 = 7.
Hope this helps you :)
Step-by-step explanation:
(a) 8x + 5x = 13x....simplified
(b) 9f + 10f - 12f = 7f.....simplified
Hope it helps you!