case high school sold 120 tickets to the school play and took in $195 from ticket sales. if student tickets were $1 and adult tickets were $2, how many of each kind did they sell?
1) (7 X 6) = 2 [{45 - 3(7 X 2 - 15 + 6)} + 4]
Answer:
1) (7 X 6) = 2 [{45 - 3(7 X 2 - 15 + 6)} + 4]
or,42=2[{45-3(14-15+6)}+4]
or,42=2[{45-3(14-21)}+4]
or,42=2[{45-3X(-7)}+4]
or,42=2[45+21}+4]
or,42=2X70
:42=140
The equation after simplification is [tex]7x^{6}+42x^{2} -152=0[/tex].
What is simplification of an equation?Simplification of an equation is the process of writing an equation in the most efficient and compact form without affecting the value of the original equation. It involves, multiply out the brackets and then simplify the resulting equation by collecting the like terms.
For the given situation,
The equation is
[tex]7x^{6}=2[{45-3(7x^{2} -15+6)}+4][/tex]
⇒ [tex]7x^{6}=2[{45-3(7x^{2} -9)}+4][/tex]
⇒ [tex]7x^{6}=2[{45-21x^{2} +27}+4][/tex]
⇒ [tex]7x^{6}=2[-21x^{2} +76][/tex]
⇒ [tex]7x^{6}=-42x^{2} +152[/tex]
⇒ [tex]7x^{6}+42x^{2} -152=0[/tex]
Hence we can conclude that the simplified equation is [tex]7x^{6}+42x^{2} -152=0[/tex].
Learn more about simplification of an expression here
https://brainly.com/question/13730519
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what does PQ=?
what does QR=?
Answer:
PQ=12
QR= 8
Hope it helps.
Answer: PQ = 12
QR = 8
Step-by-step explanation:
3x + 6 + 2x+4 = 20
5x = 20- 10
so, x = 2
so
PQ = 3x + 6 = 3*2+6 = 6+6 = 12
QR = 2x+4 = 2*2+4 = 4+4 = 8
use intercepts to to graph the line described by the equation -2x = 4 + 4y
In the standard (x,y) coordinate plane, what is the distance, in coordinate units, between (8, 6) and (−2, −3) ?
Answer:
√181 units
Step-by-step explanation:
P(x1,y1)=(8,6)
P(x2,y2)=(-2,-3)
steps are in the picture above.
Giving out bonus points if you answer this!
Explain why segments AB and AC have the same length.
Answer:
AB and AC are radii of Circle A.
Step-by-step explanation:
Note that both B and C are on the edge of Circle A. Hence, AB and AC are radii of the same circle.
And by definition, radii of the same circle have equivalent lengths.
A jar contains 30 red marbles, 50 green marbles, and 20 blue marbles. What is the probability of getting a
marble that is not red when drawing one at random?
Answer:
P(not red marble)=8/11
Step-by-step explanation:
sample space is 110
subtract the red (30)
110-30=80
80/110=8/11
gg ez
Which expression is equivalent to d - 3d – 2d?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]-4d[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression Given...}}\\\\d-3d-2d\\-------------\\\rightarrow 1d-3d-2d\\\\\rightarrow -2d - 2d\\\\\rightarrow \boxed{-4d}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
1.) -12/6 is a natural, whole, integer, rational or irrational
Answer:
Rational
Step-by-step explanation:
What is the slope of the line containing (–1, 8) and (3, –12)? A. 5 B. – C. –5 D.
Answer:
-5
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
=(-12 -8)/(3 - -1)
=(-12-8)/(3+1)
= -20/4
= -5
please help, will mark brainliest !
Answer:
the last one
Step-by-step explanation:
Find type of angle and solve for x.Please help.
Step-by-step explanation:
72° and a° is the angle of a straight line so
a+72°=180
a=180-72
a=108°
By using alternate exterior angle definition:
7x+24=180
7x=108-24
7x=84
x=84/7
x=12
34x = 850
just a simple equation. I posted it for no reason in particular.
Answer:
x=25
Step-by-step explanation:
because i divided
You and a friend are playing a number-guessing game. You ask your friend to think of a positive number, square the number, multiply the result by two and then add 3. Write a model that represents your friends final answer. Write the inverse model of this equation. What does the inverse model determine
Answer:
Step-by-step explanation:
uhm
plz halp meh 1/2 - 1/10
At what input value will the function
f(x) = Vx – 5 + 2 begin to have real
outputs?
x = [?]
Answer:
x=5 since if anything smaller than 0 it would be an imaginary number and would not be a real output
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
the function of f(x) = √(x – 5) + 2 will have real outputs , since √(x-5) ≥ 0
=> x - 5 ≥ 0
=> x ≥ 5
so, the input value begin from 5
if a bag is sold in Rs.2151.52 including 13% VAT after allowing 20% discount on it, find its marked price
Answer:
2380
Step-by-step explanation:
[tex]\frac{2151.52}{1+0.13} }[/tex] x [tex]\frac{100}{80}[/tex]
Answer:
I don't know plz help me it's my exam I need this answer
I really dont know what to do for this, my teacher didnt really show us how to do it. all she said was "this is your homework assignment and it due Monday"
Answer:
y=x-3
Step-by-step explanation:
x=3 x=-1 x=0 x=2 x= -5 x= -2 x=1
y=3-3 y= -1-3 y=0-3 y=2-3 y= -5-3 y= -2-3 y=1-3
y =0 y= -4 y= -3 y= -1 y= -8 y= -5 y=-2
Hope you got it.If you have any doubts regarding this ask me without any hesitation I will solve it.
The quotient of 31 and the product of a number and - 8?
Answer:
[tex]\frac{31}{-8n}[/tex]
Step-by-step explanation:
Overall, the expression is a quotient, and you're dividing 31 by whatever the product is of -8 and an unknown number (a variable). The product of -8 and a number means you multiply them together
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form
please don't answer wrong to get points if ur answering wrong and you know its wrong just put a letter and it has to be in numerical form examples 1 8 9 5 any number not a fraction
Answer: 66% or 0.66
Step-by-step explanation:
3/4 = 75% or 0.75
1/2 = 50% or 0.50
If austin puts in 1/2 of flour into the jar = 2/3 is filled since the jar can only hold 3/4 of flour.
If 3 people stay in a hotel for today and by gh600.00 .what is the cost of 5 people staying for 8 days.
so it'd be 600 / 3 which gives you 200.00 that's what each person paid a day given that there's 5 five times 200 is one day 1000.00x 8 = ($8000.00) for 5 people for 8 days
Factorize
the question given below
[tex] \frac{p^{4} }{ {q}^{4} } + \frac{ {p}^{2} }{ {q}^{2} } + 1 \\ \frac{ {p}^{4} + {p}^{2} {q}^{2} + {q}^{4} }{ {q}^{4} } \\ \\ \frac{( {p}^{2} + {q}^{2} +pq)( {p}^{2} + {q}^{2} - pq) }{ {q}^{4} } [/tex]
I hope I helped you^_^
F(-3,-2), I(-4, 3), A(-2,3), M(1, -1)
to
I’(-4,-3), A’ (-2, -3), M’(1,1), F(-3,2)
f(x) = -4x2 + 19
Find f(-7)
Step-by-step explanation:
Solution,
f(x) = -4x2 + 19
f(x)=-8+19
f(x)=27
As it is a constant function, therefore
f(-7)=27
What’s the Unit Rate for 183 miles in 3 hours?
Answer:
183 divided by 3 = miles per hour
183 / 3 = 61
61 mph
Answer:
61
Step-by-step explanation:
To find unit rate, divide the amount of length to the time. In this instance, 183 miles is the length and 3 hours is the time.
Divide:
183/3 = 61
So, there are 61 miles in 1 hour.
Hope this helped.
if A and B are overlapping subset of a universal set U,write the relation between n(U), n(A U B) and (A U B) compliments
Answer:
n(U) = n(AUB) + n(AUB)'
Step-by-step explanation:
The cardinality of the universal set will be to add the cardinalities of both the union of A and B i.e (A U B) and and the compliments of A and B i.e n(AUB)'
Which of the following equations has the same solution as: |3x + 2| = 4x + 5
Answer:
Step-by-step explanation:
Find (h•g)(x)
h(x)= 3x-3 and g(x)=x^2+3
Answers:
A: 3x^3 - 3x^2 + 9x
B: 3x^3 - 3x^2 + 9x - 9
C: 3x^3 + 3x^2 + 9x - 9
D: 3x^3 - 9
Answer:
the answer is b!!!!!!!!!!!!
(3x-3)(x²+3)
=x²(3x-3)+3(3x-3)
=3x³-3x²+9x-9
Pls help Im stuck Thx.
Step-by-step explanation:
First you divide the number of clicks by seconds.
36÷5=7.2
26÷3=8.6
Now you know how much clicks the bots do in 1 second
Bot#3= 7.2
Bot#4= 8.6
Now multiply by 10.
Bot#3= 72
Bot#4= 86
Bot#4 does more clicks in 10 seconds.
solve the system of equations by substitution y=1-x; -2x+y=4
Answer:
[tex]\displaystyle [-1, 2][/tex]
Step-by-step explanation:
[tex]\displaystyle -2x + [1 - x] = 4 → 4 = 1 - 3x → \frac{3}{3} = \frac{-3x}{3}; -1 = x, 2 = y \\ \\ [-1, 2][/tex]
I am joyous to assist you at any time.