Ticket prices for Students ($3), Adults ($7), Children under 12 ($2) A School band performs a concert for a crowd of 600 people. The revenue for the concert is $3150. There are 150 more adults at the concert than students. How many of each type of ticket are sold?
Answer:
280 adult tickets
130 student tickets
190 children tickets
were sold at the concert
Step-by-step explanation:
Let the number of students be s , adults a and children c
Total 600;
Thus;
a + s + c = 600 •••••••(i)
let us look at revenue
Revenue = number * ticket price
For adults; a * 7 = $7a
For students ; s * $3 = $3s
For children; c * $2 = $2c
Total is 3150
thus;
7a + 3s + 2c = 3150 ••••••••(ii)
150 more adults than students;
a = s + 150 ••••••(iii)
Substitute iii into ii and i
into ii
7(s + 150) + 3s + 2c = 3150
7s + 1050 + 3s + 2c = 3150
9c + 3s = 3150-1050
9c + 3s = 2,100 •••••••(x)
Substitute into i
a + s + c = 600
s + 150 + s + c = 600
2s + c = 600 - 150
2s + c = 450
c = 450 - 2s ••••••(xx)
Now substitute xx into x
9(450-2s) + 3s = 2100
= 4050-18s + 3s = 2100
4050-2100 = 18s - 3s
15s = 1950
s = 1950/15
s = 130
c = 450 -2s
c = 450 - 2(130)
c = 450 - 260
c = 190
a = 150 + s
a = 150 + 130
a = 280
EMERGENCY! Please give me the correct answer!
Answer:
3^6
Step-by-step explanation:
Answer:
3-16 is your answer
last week, the price of oranges at the farmers market was $1.75 per pound. this week there were decreased by 20%. what are the prices of oranges this week?
Darius is building a square launch pad for a rocket project. If the area of the pad is 121 square centimeters, what is it's sides length? Use the area formula, A=s^2, and show your work.
Answer:
11 cm
Step-by-step explanation:
A = [tex]s^{2}[/tex]
Known that A = 121 [tex]cm^{2}[/tex],
121 [tex]cm^{2}[/tex] = [tex]s^{2}[/tex]
s = [tex]\sqrt{121}[/tex] cm = 11 cm
Done :)
The side length of a square launch pad is 11 centimeter.
Here,
Darius is building a square launch pad for a rocket project.
The area of the pad is 121 square centimeters.
We have to find, it's side length.
What is Area of square?
The area of a square = side x side
Since each side of a square is the same, it can simply be the length of one side squared.
Now,
The area of the pad is 121 square centimeters.
We use the area formula,
⇒[tex]A = s^{2}[/tex]
⇒ [tex]s^{2} = 121[/tex]
⇒[tex]s = \sqrt{121}[/tex]
⇒ [tex]s = 11[/tex]
Hence, The side length of a square launch pad is 11 centimeter.
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Number 3 please I need it real quick
Answer
D
Step-by-step explanation:
The points on a section of an exam is given by the function f (x) , where x is the number of questions answered correctly in that section. If f (12) = 18 , then a test-taker receives 18 points for answering _____ questions in the section correctly.
Answer:
The answer is "12"
Step-by-step explanation:
Let f(x) be the function, where x specified in a certain section by the series of queries that have been addressed also as function.
[tex]\to f(12)=18[/tex] it implies, that even a test the person gets 18 points to packed up x queries. Its right series of issues were also:
[tex]\to f(x) = f(12)[/tex]
Therefore x = 12, The correct number of questions in the segment.
20 POINTS AND BRAINLIEST
What is the solution to the inequality shown?
-2(x + 3) < 6 - X
X > -12
x < -12
X > 12
x < 12
Answer: x > -12
Step-by-step explanation:
12 students play on the schools basketball team and 38 students play on the football team. what is the ratio of basketball players to football players?
Answer: 6:19
Step-by-step explanation:
Students playing basketball is 12
Students playing football is 38
12/38
Since 2 is a common factor of both 12 and 38. Therefore 12 and 38 are divisible by 2
6/19
6:19
Find a point-slope form for the line with slope 1/5 and passing through the point (-8, - 9).
The equation of the line in point-slope form is ______?
Answer:
y=1/5(x+8)-9
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=1/5(x+8)-9
Answer:
[tex]y+9=\frac{1}{5} (x+8)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 1/5, and passes through the point (-8, -9).
We want to write the equation of this line in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.
Pre-SolvingAs we are given both the slope and the point, we can plug those values into the equation.
Starting with the slope, we can replace m with 1/5.
[tex]y-y_1=\frac{1}{5} (x-x_1)[/tex]
Now, substitute -8 as [tex]x_1[/tex] and -9 as [tex]y_1[/tex]. We get:
[tex]y--9=\frac{1}{5} (x--8)[/tex]
This can be simplified to:
[tex]y+9=\frac{1}{5} (x+8)[/tex]
Pls helpppppp me, i will mark brainliest
Answer:
#1
Sorry if wrong!!
D. Ravinder’s art class went outdoors to draw sketches of the trees by the school park. The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?
Answer:
Step-by-step explanation:
12 x 15 = 180. 180 divided by 0.5 = 360. Thats the only answer I could get.
What number should be placed in the box to help complete the division calculation?
Answer:
13
Step-by-step explanation:
10x18= 180
193-180= 13
The product of a number p and six is written as
Answer:
6p
Step-by-step explanation:
Putting a variable next to the coefficient is the same thing as multiplying. You always put the number before the letter.
Hope that helps and have a great day!
The product of p and 6 is written as 6p.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression as;
'The product of a number p and six'
Now, The multiplication of two number is written with sign ( × ).
Thus, The product of a number p and six is written as;
⇒ p × 6
⇒ 6p
Thus, The product of p and 6 is written as 6p.
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5. A water tower casts a shadow of 20 ft at the same time that a
6 ft box casts a shadow of 2 ft. How tall is the water tower?
a. 144 ft b. 60 ft
c. 48 ft
d. 3/5 ft
Answer:
B. 60ft
Step-by-step explanation:
if a 6ft box casts a 2ft shadow, then the water towers height would be 3 times its shadow. 20 x 3 = 60ft
Does anyone know the answer to this?
please help, thank you...
Answer:
I think the answer is either 26 or 28 (for the second one)
The answer is 9 for the third one
and 7 for the last one.
as for the first one, sorry, but I don't know the answer :(
Step-by-step explanation:
I hope I was able to help!
8 9/10 x 1 4/5
Exact Form:
801/50
Decimal Form:
16.02
Mixed Number Form:
16 1/50
sorry i only did 1
Please help due in 30 minutes
Answer:
There are 5 orders of watermelon for every 9 orders of french fries
Step-by-step explanation:
9:14 is french fries: total side dishes (including french fries)
So, the ratio of french fries to watermelon would be 9:5
x+3 is a factor of p(x)= x3-7x2+15-9
A. True
B. False
5.) The temperature drops from 9 degrees F to -5 degrees. By how much
does the temperature drop?
Answer:
The temperature dropped 14 degrees.
Step-by-step explanation: x = 14
x + (-5)= 9
The absolute value (distance from zero) of -5 is 5.
The absolute value of 9 is 9.
To find the drop in temperature, add the absolute values of both numbers.
What kind of theorem is this ? AAS, SAS, SSS,ASA,HL,or NP
Answer:
Xjxhxbxbxbxbxjxjs sjsnsndbxnxj
Solve this 2 1/3 + 3/5
Answer:
2 14/15
Step-by-step explanation:
2 1/3 + 3/5
~Turn into improper fractions
7/3 + 3/5
~Find common denominators
35/15 + 9/15
~Add
44/15 or 2 14/15
Best of Luck!
please help me , it’s either suppose to be a fraction or decimal !
Answer:
165.43
Step-by-step explanation:
36.115/3.1=11.65
To check: 7.1*65=82.715
So...
14.2*11.65=165.43
I know this is probably easy but I really need help
I will give brainliest answer ;)
Answer:
parallel perpendicular
2 -2
4/7 -7/4
9/10 -10/9
-5/6 6/5
3 -3
-11 11
10/11 -11/10
7 -7
5 -5
-11/12 12/11
Given: 5=13
Which lines must be parallel?
A) r and s
B)p and q
C)p and r
D) q and s
Answer:
r and s
Step-by-step explanation:
5x+8=2x-1 solve for x
Answer:
x=-3
Step-by-step explanation:
5x+9=2x
9=-3x
x=-3
Solve -mk-110>75 for m
Show ur work
Answer:
[tex]m<-\frac{185}{k};\quad \:k>0[/tex]
Step-by-step explanation:
[tex]-mk-110>75\\\\\mathrm{Add\:}110\mathrm{\:to\:both\:sides}\\\\-mk-110+110>75+110\\\\Simplify\\\\-mk>185\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-mk\right)\left(-1\right)<185\left(-1\right)\\\\Simplify\\\\mk<-185\\\\\mathrm{Divide\:both\:sides\:by\:}k;\quad \:k>0\\\\\frac{mk}{k}<\frac{-185}{k};\quad \:k>0\\\\Simplify\\\\m<-\frac{185}{k};\quad \:k>0[/tex]
1/3+?=5
What is the "?"
Answer:
14/3 + 1/3 = 5
Step-by-step explanation:
Answer:
? = 4[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
5 - [tex]\frac{1}{3}[/tex] = 4[tex]\frac{2}{3}[/tex]
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Mark is painting his house. He used 5 gallons of paint to cover 1,750
square feet and he used 7 gallons to cover 2,450 square feet.
How many square feet does each gallon of paint cover?
Answer:
350 square feet
Step-by-step explanation:
divide the square feet by the gallons of paint
The field inside a running track is made up of a rectangle 84.39m (meters) long and 73m (meters) wide, together with a half-circle at each end. The running lanes are 9.76m (meters) wide all the way around. Question: What is the area of the running track that goes around the field? Explain or show your reasoning.
Answer:
3886.53 [tex]m^{2}[/tex]
Step-by-step explanation:
The running track consist of two semicircles and a rectangle.
So that;
Diameter of the semicircles = width of the rectangle = 73 m
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{73}{2}[/tex]
= 36.5 m
But the two semicircles form a circle, so that;
Circumference of a circle = 2[tex]\pi[/tex]r
Circumference of the circle formed by the semicircles = 2 x [tex]\frac{22}{7}[/tex] x 36.5
= 229.43 m
Thus,
length of the running track = circumference of the circle formed + length of the two sides of the rectangle
= 229.43 + 84.39 + 84.39
= 398.21 m
The length of the running track is 398.21 m.
Therefore;
Area of the running track = length x width
= 398.21 x 9.76
= 3886.5296
The area of the running track is 3886.53 [tex]m^{2}[/tex].
The radius of the puddle is zero when time is zero but expands at a rate of one-quarter unit per second instead of one-half unit per second. By what factor does the denominator of the resultant composite function A(r(t)) change from that in the opening scenario?
Given that the radius of the puddle expands, originally, at a rate of 1/4 unit/second instead of 1/2 unit/second.
The current rate of expension of the radius,
\frac {r(t)}{t}=frac 1 4 unit/second ...(i)
The resultant composite function is area, A(r(t)).
The area of a circular region having radius r is,
[tex]A(r)=\pi r^2[/tex]
If the radius is the function of time, then the composite function is
[tex]A(r(t))=\pi \(r(t))^2[/tex]
To determine the rate of change of area with respect to time, differentiate the composite function A(r(t)) once with respect to time, we have
[tex]\frac {d\{A(r(t))\}}{dt}=\pi \left(2\frac {d\{r(t)\}}{dt}\right)[/tex]
So, the composite function is changing twice of the rate of change of the radius.
By using equation (i), if r(i) is changing with R= 1/4 unit / second.
Then, A(r(t)) will change 2 x 1/4 = 1/2 square unit/second.