Answer: Section A holds 27500 , Section B has 14100 and SEction C has 13400.
Step-by-step explanation:
Let x= Number of seats in section A.
y = Number of seats in section B.
z= NUmber of seats in sectionC.
As per given , we have
x+y+z=55000 (i)
x= y+z (ii)
28x+16y+12z=1156400 (iii)
Substitute value of x from (ii) in (i), we get
[tex]x+x=55000\\\\\Rightarrow\ 2x=55000\\\\\Rightarrow\ x=27500[/tex]
From (i)
[tex]27500+y+z=55000\\\\\Rightarrow\ y+z=55000-27500\\\\\Rightarrow\ y+z=27500 \ \ \ (iv)[/tex]
From (iii), we get
[tex]28(27500)+16y+12z=1156400 \\\\\Rightarrow\ 770000+16y+12z=1156400\\\\\Rightarrow\ 16y+12z=386400\\\\\Rightarrow\ 4y+3z=96600 \ \ \ \ (v)[/tex]
Multiply 3 to (iv), we get
[tex]3y+3z=82500\ \ \ \ (vi)[/tex]
Eliminate (v) from (iv), we get
[tex]y=14100[/tex]
from (iv)
[tex]14100+z=27500\\\\\Rightarrow\ z=13400[/tex]
Hence, Section A holds 27500 , Section B has 14100 and SEction C has 13400.
which of the following graphs represents y=x-2
Answer:
graph 2
Step-by-step explanation:
The expression 12.5x can be used to determine the total amount of wages earned after working x
hours at a rate of $12.50 per hour. What is the total amount of wages earned by someone who
works 40 hours?
Answer:
500 dollars earned
Step-by-step explanation:
if 12.5x is the amount per hour they earn then multiply that by the amount of hours they work
3 yd
4 yd
What is the length of the hypotenuse?
yards
Step-by-step explanation:
a² + b² = c²
4² + 3² = 25²
Square root of 25 = 5
C = 5 yards
) Alon started in 60% of his team's basketball games this season. He started a total of 12 games. About how many games did Alon's team play this season? *
Answer:
D
Step-by-step explanation:
Let x = total number of basketball games that was played by the team this season.
Alon started in 60% of his team’s basketball games this season. This means that he started in a total number of 60 percent of x basketball games this season.
60% of x basketball games this season = 60/100 × x
= 0.6×x = 0.6x
From the information given, Alon started a total of 12 basketball games this season. Therefore,
0.6x = 12
x = 12/0.6 = 20
The numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175. Identify the box-and-whisker plot for the data.
The box-and-whisker plot for given data is as shown below.
What is box and whisker plot?"It is a special type of diagram showing Quartiles 1, 2 and 3 in a box, with lines extending to the lowest and highest values.""It is way to show the spread and centers of a data set."What is median?"It is the middle value of a sorted list of numbers."
For given question,
We have been given a data that represents the numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175.
If we arrange the data in ascending order then it would be,
25, 50, 75, 75, 100, 100, 125, 125, 150, 175, 175, 200, 225, 225, 250
The minimum value = 25
And the maximum value = 250
Also, the middle value is 125.
So, the median is 125.
The box-and-whisker plot for given data is as shown below.
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Rudolph Takes 12 minutes to run 6 times around a 400 meter track assuming he runs at a constant speed how long does he take to run 1 kilometer
Answer:
5 minutes to run a kilometer please give me brainlyest
Which graph represents a function?
Answer: The first one
Step-by-step explanation:
Shop keeper buys a television from a manufacture the shopkeeper sells the television for $ 2700 at a profit 20% how much money did the shop keeper pay the manufacture for the television
Answer:
$3,240
Step-by-step explanation:
The computation of the money that have to be paid by the shopkeeper to the manufacture is shown below:
Given that
the sale price of television is $2,700
And, the profit is of 20%
So, the price paid is
= $2,700 + $2,700 × 20%
= $2,700 + $540
= $3,240
what is the result of adding 6/100 and 1/10? use forms of a/b
Step-by-step explanation:
1/10 is equivalent to saying 10/100.
Adding these together would look like:
10/100 + 6/100 = 16/100 (cannot be simplified)
a/b = 16/100
Give a non-example of coefficient in math. Hurry please I have school tomorrow!!!
PLEASEEE HELP EASY QUESTION I THINK 15 points!
Answer:
Step-by-step explanation:
-3(-3y+1)-3y=-15
9y-3-3y=-15
6y=-12
y=-2
x=-3(-2)+1
x=7
You deposit $2500 in an account that earns 2.5% annual interest. Find the balance after one year if the interest is compounded quarterly?
Answer:
$2563.09
General Formulas and Concepts:
Math
PercentsPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
P = 2500
r = 0.025
n = 4
t = 1
Step 2: Find A
Substitute in variables [Compounded Interest Rate]: [tex]\displaystyle A = 2500(1 + \frac{0.025}{4})^{4(1)}[/tex](Parenthesis) Add: [tex]\displaystyle A = 2500(1.00625)^{4(1)}[/tex][Exponents] Multiply: [tex]\displaystyle A = 2500(1.00625)^{4}[/tex]Evaluate exponents: [tex]\displaystyle A = 2500(1.02524)[/tex]Multiply: [tex]\displaystyle A = 2563.09[/tex]39 3.3 5.1 3.3 x find the value in the triangle shown below
9514 1404 393
Answer:
x = 102
Step-by-step explanation:
Isosceles triangles have equal angles opposite equal sides. There are two 39° angles in this triangle (opposite the 3.3 sides), so the third one is ...
x° = 180° -2(39°)
x° = 102°
_____
Additional comment
The triangle is "overspecified", meaning more measures are provided than are necessary to completely describe the triangle. As is often the case in such situations, the measures provided are sufficiently inconsistent that two different "right" answers are possible, depending on how you work the problem. The first attachment shows the solution above.
The second attachment shows the solution you might get by using the Law of Cosines. Note that x=101 in this case.
Based on the information provided, what type of quadrilateral is this?
Answer:
Step-by-step explanation same I need this answer too what did you get
Answer:
hi baby how are you please com in zom
Step-by-step explanation:
3566267840 and pas 123456 u are bf
If the school has 27 students, there are how many sixth graders?
where is the rest of the question? if divided into 6th,7th,and 8th then 9
i dont know let me know the full question to help you out
The number of students that are sixth graders is 9.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A school has 27 students, and one-third of them are sixth graders.
Therefore, The number of students that are sixth graders is,
= (1/3)×27.
= 9 students.
Q. If the school has 27 students and one-third of them are sixth graders, there are how many sixth graders?
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2) The function f(x) is defined below. The value of f(-3) is:
f (x) = 4x + 5
Answer:
so it is 4×(-3)+5 = -12+5= 7
so the answer is 7 I think
Answer: look at the two pictures if you want me to solve for f or x here
Step-by-step explanation: hope this help :)
A television is priced at $298.50. There is a 6% sales tax rate. What is the cost of the television, including tax?
Answer:
total = 316. 41
Step-by-step explanation:
6% of 298.50 = 17.91
298.50 + 17.91= 316.41
Is this right? If not can someone correct me and tell me what I did wrong?
Answer:
Yes
No
No
Step-by-step explanation:
1/4(12)=3
100-184=-84
12(5)=60
The vector (-3/5) translates a to b What is the vector that translate b to a?
The required vector that is translated from b to a is +3/5.
Given that,
We have a vector that translated from a to b, is -3/5, it is to be determined the vector from b to a.
The term "vector" is used to describe quantities that have both magnitude and direction. It also refers to the nature of the quantity.
Here,
We have a vector,
[tex]\bar ab = -3/5[/tex]
In order to translate the vector in the reverse direction, its direction will be reversed,
For
[tex]\bar {ba} = - (-3/5)\\\bar {ba} = +3 / 5[/tex]
Thus, the required vector that is translated from b to a is +3/5.
Learn more about vectors here,
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ꜱᴇᴇᴍꜱ ᴇᴀꜱʏ ᴊᴜꜱᴛ ᴄᴀɴ’ᴛ ꜰɪɢᴜʀᴇ ɪᴛ ᴏᴜᴛ
Answer:
123°
Step-by-step explanation:
2z +9 = x
y = z
2Z +9 + X + z +Y = 360
Substitute for Z
2Z +9 + 2z +9 + z + z = 360
6z +18 = 360
6Z = 342
Z = 57
2(57) +9 = 123
X = 123
Answer:
The person above should be right
Step-by-step explanation:
Have a good day
Help with this please. :)
Answer:
1) 48
2) 1
3) 2
4) 16
Step-by-step explanation:
.............
Valeria's office recycled a total of 44 kilograms of paper over 4 weeks. How many weeks will it take Valeria's office to recycle a total of 66 kilograms of paper? Solve using unit rates.
The 12 girls at Suzie's volleyball camp have decided to wear their camp ID's on loops of string around their necks. If each girl needs 1 2 yard of string, how much string do they need in all? Suzie did this work to solve the problem: 12 1 ÷ 1 2 = 12 1 × 2 1 = 24 1 = 24 yards of string Did Suzie solve the problem correctly? No. She should have multiplied 12 and One-half to solve. No. She did not multiply the numerators correctly. No. She did not simplify StartFraction 24 Over 1 EndFraction correctly. Yes. Her work is correct.
Answer:
No. She should have multiplied 12 and One-half to solve
6 yards
Step-by-step explanation:
Number of girls = 12
Each girl needs = 1/2 yard of strings
Suzie workings:
12/1 ÷ 1/2
= 12/1 × 2/1
= 24/1
= 24 yards
No. She should have multiplied 12 and One-half to solve
Correct workings:
Total strings needed for 12 girls = 12 × 1/2 yards
= (12*1)/2
= 12/2
= 6 yards
Answer:
The answer is A.
Step-by-step explanation:
I got it right on Edge 2021.
At the airport, the car rental store charges a $25.00 initial rental fee and $30.00
an hour to use the car. What is the total cost of renting the car for 3 hours?
Answer:
115$
Step-by-step explanation:
first multiply 30 by 3 which equals 90next add the 25$ fee which would equal 115$Colin invests £2900 into his bank account,
He receives 3% per year compound interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
348 pounds
Step-by-step explanation:
Simple Interest = principal x rate x time
so, principal = 2900 x rate = 3/100 x time = 4 years
therefore, 2900 x 0.03 x 4 = 348 pounds
Can someone help me with this question please
I’ll mark you as a brainliest.
Answer:
I dont know what this is I'm so sorry if I did I would help you
I'm not sure about my answer but let me try.
5² + 12² = 169²
square root of 169 = 13 ft.
I'm a little bit confused because it mentions a square but the dimensions show that it's a rectangle.
Use the symmetric property of congruence to complete the following statement if
Answer:
what?
Step-by-step explanation:
Answer:
Answer
5.0/5
11
Answer: Choice D. < B = < A
ie, "angle B = angle A"
The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.
This idea can be extended to congruences because congruent angles have the same measure.
So < A = < B is the same as < B = < A.
Step-by-step explanation:
answer for brainly
pls pls pls
brainly
Answer:
2/5
Step-by-step explanation:
no of sample space , n(s) = 10
no. of probable cases, n(e) = 4
Probability of the arrow landing on a red section , P(e)
= n(e)/n(s)
= 4/10
= 2/5
Answer:
the answer is b, 2/5
Step-by-step explanation:
How much would it have rained each month if the total amount rain (11 inches) was redistributed equally among the 12 moths of the year?
Answer:
Total rainfall in one month [tex]0.9167[/tex] inches
Step-by-step explanation:
The total rainfall around an year is equal to [tex]11[/tex] inches
There are 12 months in an year.
Total rainfall in one month is equal to total rainfall in an year divided by number of months
Total rainfall in one month
[tex]\frac{11}{12} = 0.9167[/tex] inches
Miranda graphed (y + 1)2 > 6(x - 2).
Which could Miranda use to justify that her graph is correct? Check all that apply.
Because only the y quantity is squared, the curve is a parabola.
The parabola opens right because 6 is in front of the x-quantity.
There is a strict inequality so the boundary is included in the solution set.
The shading is outside the parabola because (0,0) satisfies the inequality.
The values subtracted from x and y in the equation are the coordinates of the vertex which
O O O O
Answer:
The correct options that describe the inequality (y + 1)² > 6·(x - 2)
1) Because only the 'y' quantity is squared the curve is a parabola
2) The parabola opens right because 6 is in front of the 'x' quantity
3) The shading area is outside the parabola because (0, 0) satisfies the inequality
4) The values subtracted from 'x', and 'y' in the equation are the coordinates of the vertex
Step-by-step explanation:
The given inequality graphed by Miranda is presented as follows;
(y + 1)² > 6·(x - 2)
By simplification, we get;
Given that the inequality is of the form (y - k)² > 4·p·(x - h), we have;
The curve is a parabola as only the 'y' quantity is squared
-k = 1
∴ k = -1
4·p = 6
∴ p = 6/4 = 3/2 = 1.5
p = 1.5
-h = -2
∴ h = 2
The vertex of the parabola = (h, k) = (2, -1)
The axis of symmetry = The x-axis
p = 1.5 > 0, therefore, the parabola opens right
Therefore, the parabola opens right because 6 is in front of the 'x' quantity
There is a strict inequality therefore the boundary is not included in the solution set
When x = 0 and y = 0, we have;
(y + 1)² > 6·(x - 2)
(0 + 1)² > 6·(0 - 2)
1² > 6 × (-2)
1 > -12, which satisfies the inequality and (0, 0) is on the left and below the vertex, therefore, the shaded area is outside the parabola
The vertex of the parabola given in the form, (y - k)² > 4·p·(x - h), is (h, k), which are the values subtracted from 'x', and 'y' in the equation
Therefore, the vertex of the given parabola, (y + 1)² > 6·(x - 2) = (2, -1)
Answer:
A, B, D, and E
Step-by-step explanation:
right on edge 2022 :)