Answer:
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
Step-by-step explanation:
Three sections
Section A cost = $60
Section B cost = $70
Section C cost = $120
Total seat = 3300
Total earnings = $224,000
He wants to have twice as many $60 tickets as the sum of the other tickets
A = 2(B + C)
A + B + C = 3,300
60A + 70B + 120C = 224,000
substitute A = 2(B + C)
2(B + C) + B + C = 3,300
60(2B + 2C) + 70B + 120C = 224,000
2B + 2C + B + C = 3,300
120B + 120C + 70B + 120C = 224,000
3B + 3C = 3,300 (1)
190B + 240C = 224,000 (2)
Multiply (1) by 80
240B + 240C = 264,000 (3)
190B + 240C = 224,000 (2)
Subtract the equations
240B - 190B = 264,000 - 224,000
50B = 40,000
B = 40,000 / 50
= 800
B = 800
Substitute the value of B into (1)
3B + 3C = 3,300 (1)
3(800) + 3C = 3,300
2,400 + 3C = 3,300
3C = 3,300 - 2,400
3C = 900
C = 900 / 3
= 300
C = 300
Substitute values of B and C into
A + B + C = 3,300
A + 800 + 300 = 3,300
A + 1,100 = 3,300
A = 3,300 - 1,100
= 2,200
A = 2,200
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
Solve for a. Show your work (ALL steps must be shown): 3(a+3)+6=30
Answer:
a = 5
Step-by-step explanation:
3(a+3)+6 = 30
subtract 6 from both sides
3(a+3) = 24
divide both sides by 3
a+3 = 8
subtract 3 from both sides
a = 5
Jose's batting average is 0.250 after 160 times at bat, which means he made a hit 40 of the times he was at
bat. He wants to improve his batting average to 0.333. If he makes a hit the next x times at bat, which
equation can be used to calculate the number of hits needed to obtain this improved batting average?
A. +40
160
.333
B.
160
= .333
2+40
C.
2+40
2+160
.333
O
D.
3+160
= .333
+40
Answer:
The correct option is;
[tex]\dfrac{x + 40}{x + 160} = 0.333[/tex]
Which is of the form of option C with 2 replaced by x and the characters formatted
Step-by-step explanation:
The given parameters are;
Jose's present batting average = 0.250
The number of times he was at bat = 160
The number of times he made a hit = 40
The batting average he wants to improve to = 0.333
If he makes a hit the next x times he was at bat is represented as if he makes a hit each time, for the next x time he was at bat. We have;
The number in times he makes a hit the next x times he was at bat = x
Therefore, we get;
New total number of hits Jose makes = 40 + x = x + 40
New total number of time Jose was at bat = 160 + x = x + 160
Therefore, given that Jose intends to improve his batting average to 0.333, and that the batting average is given by the relation;
[tex]Batting \ average = \dfrac{The \ number \ of\ hits}{The \ number \ of\ at \ bat }[/tex]
To find x, we have;
[tex]0.333 = \dfrac{x + 40}{x + 160}[/tex]
Therefore, the correct option is most likely C. where the 2 is supposed to be x.
The angle measurements in the diagram are represented by the following expressions. BLUE ∠A=5x−5 GREEN ∠B=3x+13
Solve for x and then find the measure of ∠B
Answer:
13
Step-by-step explanation:
Need help plz and thnks
Answer: y=13
hope this helps!
what's X equal, I don't know ahah-
3x-3 (x+ 1) = 3
Answer:
The answer is~ no solution
Step-by-step explanation:
its no solution because
3x−3(x+1)=3
Step 1: Simplify both sides of the equation.
3x−3(x+1)=3
3x+(−3)(x)+(−3)(1)=3(Distribute)
3x+−3x+−3=3
(3x+−3x)+(−3)=3(Combine Like Terms)
−3=3
−3=3
Step 2: Add 3 to both sides.
−3+3=3+3
0=6
Answer:
There are no solutions.
Drag vegetables to represent each total weight shown.
Answer:
The tomato goes to the last box
The carrot goes to the middle box
The broccoli goes to the first box
Step-by-step explanation:
Biologist Dr. Cytoplasm wants to know how many elephants in the nature reserve have broken tusks . Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks. Of the 600 elephants in the reserve, how many can he expect to have broken tusks?
Answer:
Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.
Step-by-step explanation:
Let x denotes number of elephants having broken tusks out of 600 elephants.
Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks.
So,
Of the 1 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}[/tex] elephants with broken tusks.
Therefore,
Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.
The total number of calories consumed by Ethan when eating French fries varies directly with the number of French fries that Ethan eats. Ethan eats 16 French fries and consumes 224 calories. How many French fries does Ethan eat if he consumes 406 calories?
Answer:
29 French fries
Step-by-step explanation:
Total number of calories consumed by Ethan when eating French fries varies directly as the number of French fries that Ethan eats
The first step is to calculate the constant k
No of calories= k × no of French fries
k = No of calories/No of French fries
k = 224/16
k = 14
Therefore the number of French fries eaten by Ethan if he consumes 406 calories can be calculated as follows
No of French fries= No of calories/k
= 406/14
= 29
Hence Ethan eats 29 French fries if he consumes 406 calories
Need help with math hw
Answer:
x=7
Step-by-step explanation:
since the two angles are equal, set them equal to each other and solve for x
7x+35=84
subtract 35 from both sides
7x=49
divide both sides by 7 to isolate x
x=7
QUICK PLEASE ILL MARK YOU AS BRAINILST ONLY QUESTION 9
To solve -3 = -19 +d/5 , what steps would you use?
what is the value of x??
Answer:
[tex]\displaystyle 25 = x[/tex]
Step-by-step explanation:
You are given the angle of the whole set, so set both expressions equivalent to the given angle measure:
[tex]\displaystyle 166° = 66° + [4x]° \hookrightarrow \frac{100}{4} = \frac{4x}{4} \\ \\ \boxed{25 = x}[/tex]
I am joyous to assist you at any time.
Hey! This is due today and I’m lowkey not having a good brain day, could you help?
Kevin started a ping pong club at his school, and the table shows the number of participants in the club over several years. Find the rate of change in the number of participants.
16 is not an answer for me on my assignment. What should I do?
Find the distance between -12 and 36 on the number line.
distance
Answer:
24
Step-by-step explanation:
-95=14x-7+30x
plz show work ty :)
Answer:
x = -2
Step-by-step explanation:
-95= 14x - 7 + 30x (collect like terms)
-95 = 44x - 7 (add 7 on each side)
-88 = 44x (divide by 44 on each side)
-2 = x
(26 POINTS) !Based On the information in the table, is the cost of the apples proportional to the weight of apples ?
Answer:
Where is the table? Where
Answer:
Step-by-step explanation:
the point (12,5) is on the graph, what do the coordinates tell you about the water in the bucket?
Please help :(
Find the value of X in the triangle shown below.
Answer:
x = 33°
Step-by-step explanation:
All angles in a triangle add up to 180°.
Step 1: Set up equation
x + 114 + 33 = 180
Step 2: Solve for x
Combine like terms: x + 147 = 180Subtract 147 on both sides: x = 33The product of two radicals is always an irrational number.
AIways True
Never True
Sometimes True
Answer:
The answer is Sometimes True.
Step-by-step explanation:
Radicals are number that have roots (√) .
Irrational are numbers that cannot be written in a form of fraction (a/b) .
I will show you some examples :
√2 × √2 = 2 (rational)
√2 × √5 = √10 (irrational)
Therefore, the products of 2 radicals will sometimes give rational or irrational numbers.
If Ryan gives 2/6 of his 36 cards to Max, how many cards does he give Max?
Answer:
Hi there
Your answer is
He gives Max 12 cards
Step-by-step explanation:
2/6 of 36
2/6 * 36/1
72/6=12
12 cards is 2/6th of 36 cards
Answer:
12
Step-by-step explanation:
(2 / 6) * 36= 12.
48.073 rounded to the nearest hundredth
Number: 48.073
Nearest: hundredths (2 decimal)
Result: 48.07
hope this helped and hope its correct tell me it its not !!!
Given: Jennifer sings alto in the school choir. The choir has four voice parts. The female voice parts are soprano and alto. The male voice parts are tenor and bass. What conclusion can be drawn?
A Jennifer sings a female voice part in the choir.
B There are no basses in the choir.
A hiker is 3.5 miles from her campsite when she begins to walk back to it. She hikes back toward the campsite at a constant rate of 2.1 miles per hour.
Which equation models the distance of the hiker from her campsite? (Let m represent her distance, in miles from the campsite and h represent the number of hours since she begin walking back.)
O m= 3.5+ 2.1h
Om= 3.5h - 2.1
O m = 3.5h + 2.1
m = 3.5 - 2.1h
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
right
scalene
obtuse
equilateral
Answer:
D
Step-by-step explanation:
EDU 2020
The type of triangle which will always have a perpendicular bisector that is also an angle bisector is an equilateral. option D
How to determine the triangleProperties of an equilateral triangle
All the three sides are equal.All three angles are congruent and measured 60 degrees.It is a regular polygon with three sides.The perpendicular line drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves and divides the angles into two.Thus, the type of triangle which will always have a perpendicular bisector that is also an angle bisector is an equilateral. option D
Learn more about an equilateral triangle here:
https://brainly.com/question/1399707
#SPJ9
Solve the system by substitution.
y = -5x
y = -7x – 14
Submit Answer
Answer: (-7 , 25)
Step-by-step explanation: I graphed and that’s the point I got.
What is the value of 19,356 ÷ 59?
Answer:
Approximately 328.067
Step-by-step explanation:
The value of 19,356 ÷ 59 is approximately 328.068.
Full Answer: 328.06779661
what is the equivalent to (2 − 5)2
Answer:
-6
Step-by-step explanation:
A music club has 15 members. Each member pays monthly dues of $14.60. On the first day of the month, 8 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected in dues on the second day of the month
Answer:
$102.2 were collected
Step-by-step explanation:
If there are 15 members in total, and 8 of them paid it on the first day, then you know that 7 people paid it the next day, because the remaining people paid it the next day.
7x14.60=102.2
Can someone solve for x
Answer:
x=6
Step-by-step explanation:
25+133+4+3x=180
3x=180-162
3x=18
x=6
Write the distance from the Sun to Mercury in scientific notation. Include units with your answer
Answer:
4.600 x 107 km (3.075 x 10-1 A.U.)
Step-by-step explanation: