Answer: In this problem, you have three unknowns: broadway tickets for the (1) main floor, (2) balcony and (3) mezzanine. To solve algebraic equations, the total number of unknowns must be the same with the number of independent equations. With that, let's formulate these three equations.
Let the 3 unknowns be
x = number of tickets for the main floor
y = number of tickets for the balcony
z = number of tickets for the mezzanine
The independent equations are:
59x+50y+40z=73,785 --> eq 1
x = y+z+435 --> eq 2
y = 78 + 33 z ---> eq 3
Solve the equations simultaneously. Substitute eq3 to eq 2
x = 78+33z+z+435
x = 513+34z --> eq 4
Substitute eq 4 and eq 3 to eq 1
59(513+34z)+50( 78 + 33 z)+40z=73,785
Solve for z using the calculator: z = 11
Use eq 4 to find x: x = 877
Use eq 2 to find y: y = 432
There were 877 main floor tickets, 432 balcony tickets and 11 mezzanine tickets sold.
Step-by-step explanation:
Answer:
Main floor - 892, balcony - 450, mezzanine- 61Step-by-step explanation:
Main floor - x, balcony - y, mezzanine- zEquations:
48x + 45y + 34z = 65140 ↔ (1)x = 381 + y + z ↔ (2)y = 2z + 328 ↔ (3)Substitute (3) into (2):
x = 381 + 2z + 328 + z ⇒ x = 3z + 709 ↔ (4)Substitute (2) and (4) into (1) and solve for z:
48(3z + 709) + 45(2z + 328) + 34z = 65140144z + 48*709 + 90z + 45*328 + 34z = 65140268z + 34032 + 14760 = 65140268z = 65140 - 48792268z = 16348z = 16348/268z = 61Find x and y:
x = 3z + 709 = 3*61 + 709 = 892y = 2z + 328 = 2*61 + 328 = 450Alex is saving money at a constant rate. Suppose she initially has $170 saved, and after 5 months, she has $420 saved.
Which of these expresses the rate at which Alex is saving?
Answer:
50 dollars per month
Step-by-step explanation:
Money saved over time period x / Time period x = $250/5 months=$50/1 month
According to this diagram, what is tan 62°?
62°
17
8
280
90°
15
O A.
8
17
17
B.
8
O C.
15
17
O D.
17
15
O E.
8
15
Where is the diagram???
Geoff planted dahlias in his garden. Dahlias have bulbs that divide
Answer:
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff's garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs
Step-by-step explanation:
Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.
What was the original price of the sweater, in dollars
The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation: Sorry if this doesn't help....
Area = ???????????????
Answer:
x^2+10x+21
Step-by-step explanation:
Blue box: x*x=x^2
Green box: x*3=3x
Purple box: 7*x=7x
Orange box: 7*3=21
x^2+(3x+7x)+21
Combine like term
A: x^2+10x+21
1) The endpoints of AB are A(-3, 8) and B(4,5). If AB is
dilated by a scale factor or 2, what is the slope and length
of A'B?
No links pls!!!
Answer:
ehhhhhhhhhhhhhhhhhhh
A chi-square test of independence was conducted to investigate whether there is an association between the location where a person lives in a city (north, south, east, or west) and who the person planned to vote for in the upcoming mayoral election (the incumbent or the challenger). A random sample of 100 potential voters was selected, and the hypothesis test had a chi-square test statistic of χ2=9.84 with a p-value of 0.02. Which of the following statements is the correct interpretation of the p-value in context?
(A) There is a 2 percent chance that where a person lives and who that person plans to vote for are independent.
(B) There is a 2 percent chance that where a person lives and who that person plans to vote for are dependent.
(C) There is a 2 percent chance of making a Type II error.
(D) Assuming that the location of where a person lives and who that person plans to vote for are dependent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
(E) Assuming that the location of where a person lives and who that person plans to vote for are independent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
Answer:
E) Assuming that the location of where a person lives and who that person plans to vote for are independent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
Step-by-step explanation:
Chegg
When Janelle was born, her grandmother put $200 into a college savings account for her. Each month, her grandmother adds $50 to the account. Which inequality can be used to find m, the number of months it will take for Janelle’s savings account to have more than $1,250 in savings?
Mark won 79 lollipops playing hoops at his school game night. Later, he gave three to each of his friends. He only has four remaining. How many friends does he have?
Answer:
25 friends
Step-by-step explanation:
79 - 4 = 75.
75 ÷ 3 = 25
25 friends
Please help. I don’t understand the question.
9514 1404 393
Answer:
-21, 13
Step-by-step explanation:
If Z is located to the right of Y, its point on the number line is -4+17 = 13.
If Z is located to the left of Y, its point on the number line is -4-17 = -21.
There are two possible locations for Z on a number line.
_____
In a 2-dimensional plane, there are an infinite number of locations of distance 17 from a given point. The set of all of them makes a circle on the plane, with radius 17.
In 3-dimensions, the set of points becomes a sphere with radius 17.
Jeremy spent $33 on 3 CDs. At This rate. how much would 6 CDs cost ?
Answer:
It would cost Jeremy $66 for 6 CDs
Step-by-step explanation:
3 CDs for $33
3(2)=6
$33(2)=$66
Which is a measure of the efficiency of an investment?
A.efficiency cocfficient
B.return on investment
C.return rato
Answer:
B. return on investment
Step-by-step explanation:
Return on Investment (ROI) is a performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.
During a sale of computers, one-fourth of
the inventory was sold the first day. The next
day two-thirds of the remaining inventory was
sold. What percent of the total inventory was
sold during the second day?
Answer:
On the second day, 50% of the total computer inventory was sold.
Step-by-step explanation:
Since during a sale of computers, one-fourth of the inventory was sold the first day, while the next day two-thirds of the remaining inventory was sold, to determine what percent of the total inventory was sold during the second day, we must perform the following calculations:
1/4 = 0.25 = 25%
Remaining = 100 - 25 = 75%
75/3 = 25 x 2 = 50
Thus, on the second day, 50% of the total computer inventory was sold.
What is a song or poem describing the four operations of integers?
Step-by-step explanation:
We have four fundamental operations on integers. They are addition, subtraction, multiplication, and division.
hasann please help me
Answer:
The length and width and height is already given.
Length is: 3 1/2
Width is: 1 1/2
Height is: 2 1/2
The volume of this would be all given lengths multiplied.
Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3
Can someone please give me the answer I will mark u brilliant
Answer: The first solid's volume is 15/16 or 0.9375. The second solid's volume is 7/4, 1 3/4, or 1.75.
Step-by-step explanation:
First Solid
V= l*w*h
V= 5/8*3/4*2
V= 15/16
15/16 as a decimal is 0.9375
Second Solid
V= l*w*h
V= 6*7/12*1/2
V= 7/4
7/4 as a mixed fraction is 1 3/4. 7/4 as a decimal is 1.75.
what are the importance of knowing the theorems on midline, trapezoid and kite
Answer:
It is important because it allows you to calculate the surface area of a trapezoidal prism
Step-by-step explanation:
Log 64 = x. Find X
⁴
Answer:
3
Step-by-step explanation:
Rewrite the logarithmic notation to index notation.
4^x=64
Change 64 to index notation
ie 64 = 4^3
Since the base is the same(4) cancel them out
You remain with x = 3
1/4 / (17 + 4)
What’s 1/4 divided by (17+4)
Answer:
0.0119047619
Step-by-step explanation:
Answer:
21/4
Step-by-step explanation:
1/4 ÷ (17 + 4)
1/4 ÷ (21)
21 × 1/4 = 21/4
-TheUnknownScientist
1. What is the opposite of 6.87?
Answer:
-6.87
Consider the opposite symbol
(Negative and Positive)
How many more sides does a decagon have than an octagon?
Answer:
2 more sides.
Step-by-step explanation:
Decagon = 10 sides
Octagon = 8 sides
The prefix Octa means 8 sides
example : Octa is in Octapus; and octopus have 8 legs or tentacles.
Answer:
2 sides.
Step-by-step explanation:
Correct me if I'm wrong but a decogon has 10 sides and an ogtagon has 8 sides so it might be 2.
Help with math please, just 7 and 9. Please explain thanks.
Answer: #7 x=16 #9 x=27
Step-by-step explanation:
#7
This is an isosceles triangle, so the angles formed at the base of the congruent sides are equal.
5x-7=8x-55
48=3x
16=x
#9
This is an equilateral triangle (if 2 angles are 60, the third has to be 60 as well) so the sides are equal
7x+19=11x-89
108=4x
27=x
The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these. None, Positive, or Negative thanks so much.
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The higher the amount you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
PLEASE HELPPPPPPPPPPP
Answer:
76 is the answer
Step-by-step explanation:
4³+6(2)
64+ 12
76
Find the length of the rectangle.
7 mi
Area = 56 sq mi
1
A. 21 mi
B. 8 mi
C. 30 mi
D. 4 mi
no question, just put thx ig
have a good day
Answer:
Thank you, thank you, thank you *bows head* ✌️❤️
[tex] \infty \infty [/tex]
Answer:
Yay points
let's go oooohhhhh
(*/_÷)
What number goes on top?
Answer:
33
Step-by-step explanation:
16+17 math that is why
find the mean variance and standard deviation for the number of heads when a coin is tossed 30 times
Answer:
mean=10*1/2=5
variance=10*1/2*1/2=2.5
standard deviation=sqrt2.5=1.58
Step-by-step explanation: Hope this helps Have a good day :)
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer:
triangle and cylinder is your answer
simplify
[tex] {a}^{2} - {b}^{2} [/tex]
Answer:
a² - b²
= (a+b) (a-b)
Hope it helps!