Answer:
The basketball game sold 439 adult tickets and 858 student tickets.
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values of the unknowns, with which when replacing, they must give the solution proposed in both equations.
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047 was collected on the sale of 1,291 tickets.
With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:
[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]
Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:
y=1291 -x
and you replace in the second equation:
5*x + 1291 - x= 3047
Solving, you get:
5*x-x= 3047 - 1291
4*x= 1756
x= 1756÷4
x=439
Replacing this value in the expresion y=1291 -x you get:
y=1291 -439
y= 858
The basketball game sold 439 adult tickets and 858 student tickets.
12 cm
8 cm
Find the volume of the cylinder
Answer:
ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .
π x 82 cm2 x 12 cm
Raise 8 cm power of 2
π x 64.0 cm2 x 12 cm
Multiply 64.0 cm2 and 12 cm
π x 768.0 cm3
Combine π and 768.0 cm3
The result can be shown in multiple forms.
Exact Form
Volume = 768.0π cm3
∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3
Decimal Form
Volume = 2411.52 cm3
Step-by-step explanation:
The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.
Based on the graph, the car requires___gallons of fuel to travel 100 miles.
A. 1.0
B. 2.5
C. 4.0
D. 5.5
A basketball league awards 2 points for a win and 1 point for a tie. One team has four more wins than ties and has earned 32 points. How many games has the team won?
Answer:tzs
Step-by-step explanation:
Plz someone anser
Find the circumference in terms of pic if the diameter is 2.5
Answer
[tex]C=2.5\pi[/tex]
Step-by-step explanation:
Radius is always half of the diameter so, [tex]\frac{2.5}{2} \\[/tex] is equal to [tex]1.25[/tex].
The Formula for Circumference is [tex]C=2\pi r[/tex]
Since we found out the radius, we need to basically substitute (or insert) it into the radius spot so the next step will be: [tex]C=2\pi (1.25)[/tex]
Then we multiply (2)(1.25) to get an answer of 2.5 (which we already know)
So our answer is going to be [tex]C=2.5\pi[/tex]
Hope this helped and answers your question! Have a great rest of your day/night!
How many buses do you need for 600 people if each bus holds 65 people?
Answer:
You would need 10 buses
Step-by-step explanation:
To find the amount of buses needed, you just divide the total amount of people, and the capacity of each bus.
600/65
This would get you 9.23076923077, but obviously you can't have .23076923077 of a bus and you can't leave people behind. This means you would have to round the number up to 10
Answer:
10
Step-by-step explanation:
Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volume of the card box?
The question is incomplete :
The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4
Answer:
192 unit³
Step-by-step explanation:
The volume of the card box :
Recall the volume of box formula :
V = length * width * height
Volume = 8 * 6 * 4
Volume = 192 unit³
This is the procedure for any given dimension of the card deck.
Answer:
5 5/6 cu in
Step-by-step explanation:
What is -7.654 - 4.76?
Answer: -12.414
Step-by-step explanation:
Please help, thank you.
The question is in the picture
D.kite
youre welcome hihihi
Megan used a 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?
Answer: 18.72
Step-by-step explanation:
14.40*1.3
Answer: 48$ was the original price of the sweater.
Step-by-step explanation:To find this answer, I divided the coupon discount by the discounted price (14.4) and got 48.00, to double check, I then multiplied the number by the discount number and got 14.4
would it br no solution bc the lines are parallel?
Answer:
Yes
Step-by-step explanation:
The solution to the system of equations shown with a graph is the point where the two lines intersect. Because the lines are parallel they do not intersect, meaning there is no solution.
A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.
Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
Answer:
$794.10
Step-by-step explanation:
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
The total amount Marcus paid is calculated as
A = $143.95 × p + $74.35
Where p = Number of pairs of rae Jordans delivered = 5
Hence,
A = $143.95 × 5 + $74.35
A = $719.75 + $74.35
A = $794.10
Therefore, the total amount Marcus paid is $794.10
3x^2+9x+27x^3 pls help the ^ means exponent
Answer:
27x^3+3x^2+9x
Step-by-step explanation:
The area of a rectangle 320in^2. The ratio of the length to the width is 5:4. Find the length and the width
Answer:
30 in length 24inches width
Step-by-step explanation:
Multiply the multiples if 5 and 4 together until you reach 720.
5*4=20
10*8=80
15*12=180
20*16=320
25*20=500
30*24=720
Your length is 30 in and your width is 24in.
please help me!! it's due in 10 mins and I don't understand it!!
Answer:
J probably
Step-by-step explanation:
When multiplying the rectangle's sides by 1.5 you get the rectangle F.
When multiplying the sides by 1/4 you get G.
When multiplying by 1.25 you get H.
To get J, you would need to muliply 8 by 1.25 and 2 by 2. There is no scale factor that would result in the rectangle ABCD turning into J.
f(x)=6^x for x=2 help please
9514 1404 393
Answer:
f(2) = 36
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 6^2
An exponent of 2 means 6 is a factor two times.
f(2) = 6×6
f(2) = 36
Answer:
36
Step-by-step explanation:
To evaluate f(x) = 6^x at x = 2, substitute 2 for x:
f(2) = 6^2 = 36
10 in
5 in
Find the volume of the shape above. Use 3.14 for pi.
Round to the nearest tenth.
PSLS S S S S S S S s s s. Ss s s s s
Answer:
80
Step-by-step explanation:
5x2x8=80
Answer:
volume= 8*2*5
=80cube
Add f(x) = 4x-5 and g(x) = 2x
(f + g)(x)
Step-by-step explanation:
f(x) = 4x-5
g(x) = 2x
(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5
3/2x3/4= -1/5
uh i need help
Answer:
I'm not smart but I think there's no solution
A cyclist travels at an average speed of 13 mph for 3 hours.
How far did she travel in miles?
Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
I need help pls pls pls
Answer: The answer may be 26%
Step-by-step explanation: Have a brilliant day mate- Lily (^_^)
-6(3x + (-4y)) Simplify.
Answer:
−18x+24y
Step-by-step explanation:
sorry if its wrong
Q1 - Multiplying one equation
Work these simultaneous equations out
on paper and write down your answers.
p
4p + 2q = 28
13p + 69 = 88
9 =
3s + 4t = 31
S =o
88 + 8t = 72
t =
a =
4a + 3b = 45
16a + 4b = 124
b =
5m + 6n = 61
m =
15m + 4n = 99
n =
Answer:
p = 4
q = 6
s = 5
t = 4
a = 6
b = 7
m = 5
n = 6
Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?
Answer:
3mph
Step-by-step explanation:
his speed per hour will be 3 miles per hour
Figure 11: Find the area of this composite shape.
Find the area of this composite shape.
4 cm
8 כש
4 cm
12 cm
The area of the composite figure is C = 80 cm²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the composite figure be C
Now , C = area of rectangle - area of square
Let the area of the rectangle be A
Now , the length of the rectangle be L = 12 cm
Let the width of the rectangle be W = 8 cm
A = 12 x 8
A = 96 cm²
Area of square = 4 x 4 = 16 cm²
So , C = 96 - 16
C = 80 cm²
Hence , the area of figure is C = 80 cm²
To learn more about area of rectangle click :
https://brainly.com/question/15225905
#SPJ2
Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?
Answer:
I don't know.
Step-by-step explanation:
I really neeed help ... please help me
Answer:
fist one is 36 and the second one is 238
Step-by-step explanation:
to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer
.FIND THE DIFFERENCE OF 8,328 AND 459?
Answer:
7869
Step-by-step explanation:
8,328
- 459
________
7,869
Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1
Answer:
c = 1 , a = 2, b = 3
Step-by-step explanation: