9514 1404 393
Answer:
-3 adult tickets were sold18 children's tickets were soldStep-by-step explanation:
Using the first equation to write an expression for y, we get ...
y = 15 -x
Substituting that into the second equation gives ...
30x +20(15 -x) = 270
10x +300 = 270 . . . . . . . . . simplify
10x = -30 . . . . . . . . . . . . . subtract 300
x = -3 . . . . . . . . . . . . . . divide by 10
y = 15 -(-3) = 18 . . . . find the corresponding value of y
The number of adult tickets sold is -3; the number of children's tickets sold is 18.
_____
Additional comment
If 15 tickets were sold for 270 the way your problem statement says, then the average ticket price is 270/15 = 18 per ticket. You show the ticket prices to be 20 for children and 30 for adults. That is, the average price is expected to be between 20 and 30. There is something wrong with this problem.
(1-cosx)(1+1/cosx)= sinx tanx
Answer:
Step-by-step explanation:
[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]
[tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]
= Sin x * Tan x
Hence proved
Find the circumference of a circle if the area of the circle is 256 π in².
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in
Denver is 5,280 ft above sea level. Stone Mountain is 1,686 ft above sea level. How much higher is
Denver than Stone Mountain? Explain how you got your answer.
Answer:
3,594
Step-by-step explanation:
It is asking *than* which means subtraction. so simply subtract and you get the answer
not hard!
i dont know what to do help its timed
Answer:
The choose 3.
[tex]f(x) = 0.5(0.2^{x} )[/tex]
f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1
f(2)=0.5(0.2²)=0.5×0.04=0.020
I hope I helped you^_^
evaluate the function
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
1/4 of a number is 6.What is 50% of that number?
Answer:28
Step-by-step explanation:
Marking brainliest
Don’t know what to write for the last 2
Answer:
Business, management, marketing and technology.
Engineering, manufacturing and industrial technology.
i am not sure but i hope it will help you.
please mark me as brainlest.
PLEASE PLEASE TRANSLATING A SENTENCE INTO AN EQUATION
The difference of Jose's age and 21 is 58
Use the variable j to represent Jose's age.
Answer:
j - 21 = 58
Step-by-step explanation:
happy to help if you have any others i can help you
Answer:
j - 21 = 58
Step-by-step explanation:
I need help please I’m not sure how to do this
Answer:
This is just simply saying 1 divides by 2 we that is 0.5 in decimal
Hope I helped
Value of expression 3-15 /7
Answer:
6/7
Step-by-step explanation:
3-15 /7
3 - 15/7
= 6/7
if x=2,y=3 and z=4 find yz÷x 10x+7xz
does (3,-4) lies on the locus x2+y2=25
Answer:
Yes
Step-by-step explanation:
Both arguments are squared so the equation are in the form of a circle.
A lotus is a point that is equidistant from some fixed point of a conic section. This is a circle so the fixed point is called a center of the circle.
The center of the circle is equidistant from any point on the circumference of the circle. In order for a point to be on the circle, it must satisfy the circle equation.
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Let plug in what we know
[tex]3 {}^{2} + ( - 4) {}^{2} = {5}^{2} [/tex]
[tex]9 + 16 = {5}^{2} [/tex]
So 3,-4 is on the locus of the circle.
The perimeter of a square is 20ft. If you increase the length of the square by 2 ft and decrease the width by 1 foot what is the area in square feet of the new figure
Answer:
132 square feet
Step-by-step explanation:
Two numbers have an average of 18, and a difference of 10. Form two equations and solve them to find these
two numbers.
2.
If AB = 9x - 2 and BC = 6x + 13,
then BC = ?
A
B
С
Answer:
AB = 9x - 2BC = 6x + 13Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
Step-by-step explanation:
Solution,
AB=9x-2
BC=6x+13
Now,
AC=AB+BC
=9x-2+6x+13
=15x+11
the size of a rectangular photo frame 12 11/16 cm by 8 3/4 cm. which of the following gives the product of these dimentions rounded to the nearest whole number of centimeters
A. 12 cm x 8 cm
B. 12 cm x 9 cm
C. 13 cm x 8 cm
D. 13 cm x 9 cm
Answer:
option D is correct
Step-by-step explanation:
=12 11/16 × 8 3/4
=203/16 × 35/4
=12.6875 × 8.75
After rounding of:
=13 cm × 9 cm.
Hey! If you have any confusion ,ask me any question about it.Thanks
7(9) = 9(7)
A) Commutative Property of Multiplication
B) Associative Property of Multiplication
C) Neither
Answer:
A) Commutative
Step-by-step explanation:
The Associative has to do with re-grouping numbers. There are only two numbers so this does not apply here. Commutative is where you change the order; that's what the equation is demonstrating.
Answer:
The Commutative Property.
Step-by-step explanation:
The commutative property says that when multiplying, you can change the order without changing the answer.
Find the value of (625)1/4 i want the answer fast please
Answer:
625 =5⁴
so ( (5)⁴)^1/4
that is 5
pls follow me
Can someone help with this !!
Answer:
[tex]{ \sf{ {(2x - 3)}^{4} }} \\ = { \sf{ {(2x - 3)}^{2} . {(2x - 3)}^{2} }} \\ = { \sf{(4 {x}^{2} - 12x + 9)(4 {x}^{2} - 12x + 9) }} \\ = { \sf{ {16x}^{4} - 48 {x}^{3} + 36 {x}^{2} - 48 {x}^{3} + 144 {x}^{2} - 108x + 48 {x}^{2} - 108x + 81 }} \\ { \sf{ = {16x}^{4} - 96 {x}^{3} + 228 {x}^{2} - 216x + 81 }}[/tex]
help please u can choose more than 1
Answer:
[tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex]
Step-by-step explanation:
Both [tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex] are equal to 0.54 as a repeating decimal
please help me with this ixl i beg you
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
Verbal expression x to the third power times y to the 4th power???
Step-by-step explanation:
First;
x to third power=x³
y to 4th power=y⁴
According to condition:
expression=x³ × y⁴
=x³y⁴
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
Which geometric term is modeled by the stop sign
You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?
Answer:
DCC
Step-by-step explanation:
CDDCDC
Different type of spaghetti dinners is 8
What is combination ?
"The number of possible arrangements in a collection of items where the order does not matter."
For 4 different shaped of noodles = ⁴c₁
⁴c₁ = 4
For two kinds of cheese = ²c₁
²c₁ = 2
Now , multiplying these 4×2 = 8
Hence, 8 type of spaghetti dinners
For more about combination
https://brainly.com/question/21306575
#SPJ2
Jane has 63m ribbon.If she cuts 56m 21cm ribbon from it,what length of ribbon will be left.
A survey was conducted to see which of four major sports American college students prefer to watch: baseball, basketball, football, or soccer. Of those
surveyed, 53% said they prefer football, 26% chose basketball, and 15% preferred baseball. Ifthere were 1,000 American college students in a room, hov-
many would you expect to prefer soccer?
9.10
B
D
6
There are 60 students that prefer soccer
The first step is to determine the percentage of students that prefer soccer The percentage of students that prefer soccer = 100 - (53% + 26% + 15% ) = 6%
6% of the students surveyed prefer soccer
The second step is to determine the number of students that prefer soccer
Number of students that prefer soccer = (percentage of students that prefer soccer / 100) x total number of students surveyed
[tex]\frac{6}{100}[/tex] × 1000 = 60 students
A similar question was solved here : https://brainly.com/question/2371435?referrer=searchResults
find the numerical cofficient and literal cofficient in 7xy
[tex]numerical \: coefficient \: = > 7 \\ \\ literal \: coefficient \: = > \: xy[/tex]
hope that helps uh..☺
d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)
Help As soon as possible please with picture please
Answer:
Below.
Step-by-step explanation:
I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.
Tan 30 = h/ (x + 10)
tan 45 = h/x where h is the height of the tower.
From the second equation x = h / tan45
Substituting in the first equation;
tan30 = h / (h/tan45 + 10
Tan 30 = 1/ √3 and tan 45 = 1 so
1/ 1.732 = h/ (h + 10)
0.5774 = h/(h + 10)
h = 0.5774h + 57.74
0.4226 h = 57.74
h = 136.6 m to nearest tenth.
Is the relation {(9, 1), (8, -2), (7, 0), (6, 5)} a function?
Yes or No
Answer:
Since there is one value of y for every x in the relation above, yes this relation is a function.
I hope this helped you get to your answer, or at least help you out a bit. Thanks and have a great day of learning!