A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to find the number of kids and adults. Really need help!!
9514 1404 393
Answer:
24 kids30 adultsStep-by-step explanation:
If find that "substitution" works well for "mixture" problems like this. Usually, you will want to substitute for the lower-priced item, so that you're solving for the number of higher-priced items.
Let "a" and "k" stand for the number of adult and kid tickets, respectively.
a + k = 54 . . . . . . total number of tickets sold
8a +5k = 360 . . . total revenue
__
To substitute for k, we solve the first equation for k:
k = 54 -a
Now, we substitute that into the second equation:
8a +5(54 -a) = 360
3a = 90 . . . . . . . . . . . subtract 270 from both sides; collect terms
a = 30 . . . . . . . . . . . . divide by 3
k = 54 -30 = 24 . . . . . use the above formula for k
The number of kids was 24; the number of adults was 30.
Divide.
2/3÷4/5 please help!!!
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5
~Copy Dot Flip
2/3 * 5/4
~Multiply
10/12
~Simplify
5/6
Best of Luck!
Answer:
5/6
Step-by-step explanation:
Keep Change Flip
2/3 x 5/4 = 10/12
10/12 simplifies to 5/6
whats the answer?!?!?
Answer:
3 + 5 + 7
Step-by-step explanation:
In addition it does not matter what order the numbers are in.
When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate.
.
What is the value of x, if the equation 2(x + 60) + 2(30) = 200 represents the Perimeter for the fencing of the backyard?
Answer:
Step-by-step explanation:
From the picture attached, equation of the perimeter of the fence of the backyard should be,
(x + 60) + (60) + 2(30) = 200
x + 2(60) + 2(30) = 200
x + 120 + 60 = 200
x + 180 = 200
x = 200 - 180
x = 20 ft
If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,
2(x + 60) + 2(30) = 200
2x + 120 + 60 = 200
2x + 180 = 200
2x = 20
x = 10 ft
Answer:
2(x + 60) + 2(30) = 200
2x + 120 + 60 = 200
2x + 180 = 200
2x = 20
x = 10 ft
Which table represents a linear function?
Answer:
A.
(1,3)
(2,7)
(3,11)
(4,15)
Step-by-step explanation:
I plotted the points into a graphing calculator
An electrician charges $50 to come to your house. He also charges $25 for each hour he spends at your house. The electrician charges you a total of $125. How many hours did he spend at your house? Please also write the equation
Answer:
He was there for three hours
Step-by-step explanation:
$25 times 3=$75
$50+$75=$125
Help me. I need help
Answer:
i cant read that
Step-by-step explanation:
State if the following graph is discrete or continuous.
Please help me
Answer:
the graph is continuous
sin^2a-sin^2b=cos^2b-cos^2a
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then sin²x = 1 - cos²x
Consider the left side
sin²a - sin²b
= (1 - cos²a) - (1 - cos²b)
= 1 - cos²a - 1 + cos²b
= cos²b - cos²a
= right side , thus verified
Classify the triangle. Check all that apply
Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above
Answer:
The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.
Step-by-step explanation:
I hope this helps!
Can someone draw like how to divide 12/5
Answer:
12 divide by 5 is easy lemme show you
Step-by-step explanation:
The stuff on the left
Which of the following is the position of median? *
(N+1)/4 item
3(N+1)/4 item
3(N+1)/2 item
(N+1)/2 item
Answer:
(N+1)/2 item
Step-by-step explanation:
(N+1)/2 item is the correct answer.
help plz i’ll give extra points
Answer:
240
Step-by-step explanation:
240 + 60 = 300 you can tell this by realising that ratio to have 4x one over the other would be 20 per 100, using this rate 3x, 240 and 60
Answer:
x = 60
Step-by-step explanation:
Length of small piece = x
length of large piece = 4x
x+ 4x = 300
5x = 300
x = 60
pythagorean theorem
find a third side in the simplest radical form:)
will give brainist and 20 points:)
Answer:
well for me
Step-by-step explanation:
hypotenus square=opposite square+adjacent square
H^2=O^2+A^2
H^2=3^2+9^2
H^2=9+81
H^2=90
H=✓90
H=9.487
H=9.5
A varsity boy's basketball team has ratio of seniors to juniors that is 7:4. If the team is made up of only juniors and seniors, what is the ratio of seniors to the total team members?
Answer:
The ratio of seniors to the total team members is 7: 11
Step-by-step explanation:
Let us solve the question
∵ A varsity boy's basketball team has a ratio of seniors to juniors that is 7: 4
∴ seniors: juniors = 7: 4
→ That means seniors have 7 parts and juniors has 4 parts
∴ The seniors' members = 7 parts
∴ The juniors' members = 4 parts
→ Add them to find the total parts of the team
∴ The team's members = 7 + 4 = 11 parts
→ To find the ratio of the seniors' members to the total team's member
divide their parts
∵ The seniors ÷ The total = [tex]\frac{7}{11}[/tex]
∵ The seniors' member : The team's members = 7: 11
∴ The ratio of seniors to the total team members is 7: 11
(6.7x10 with an exponent of 8)(1.2x10 with an exponent of 2) please help!
operations with scientific notation
Answer:
Step-by-step explanation:
Since the bases are different, each expression must be done independently.
6.7*10^8
6.7*6.7*6.7*6.7*6.7*6.7*6.7*6.7= 4,060,676.78
1.2*10^2
1.2*1.2= 1.44
multiply the two= 5847374.56
Will be mark brainless
The number of hours that 20 people spent watching television per day, in relation to age, is graphed. This quadratic equation represents the
model for the set of data.
y = 0.00412 - 0.3141 +7.5
Based on the model, approximately how much time does an 18-year-old spend watching television each day?
A. 2 hours
B. 0.5 hour
C. 7.5 hours
D. 3 hours
Answer:
D. 3 hours
Step-by-step explanation:
I need help with this question in Geometry.
Answer:
846 in
Step-by-step explanation:
48*15+21*6
720+126=846
Answer:
846 square inches.
Step-by-step explanation:
All you have to do is find the area of the net for the seat back.
Bottom and Top
L = 21 + 3 + 21 + 3 = 48
W = 15
Area
Area = L * w
Area = 48 * 15
Area = 720
Area of the 2 sides .
L = 21
w = 3
Area =2 * L * w There are 2 of them
Area = 21*3 * 2 126
Total 846
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
o 3359%
50%
6659%6
200%
Answer:
the first one
Step-by-step explanation:
if x and y vary directly, and x=1/2 when y=36, what is the value of x when y=144
Answer:
23223232322323
Step-by-step explanation:
SOMEONE HELP ItS URGENT ILL GIVE BRAINLEST!
Answer:
Step-by-step explanation:
y = [tex]\frac{1}{35} x[/tex]
for y = 1
x = 35
for y = 2
x = 70
and so on
substituting the values in y = [tex]\frac{1}{35} x[/tex] will also give same result!
Answer:
B. y = 35x
Step-by-step explanation:
If you multiply 35(x), by the number of gallons used, you will get the values of x as your result.
35 × 1 = 35
35 × 2 = 70
35 × 3 = 105
35 × 4 = 140
35 × 5 = 175
pleasee help i put it as 24 points and I will mark brainliest thank you
A 3-gallon container of window cleaner costs $23.88. What is the price per quart?
Answer:
i think its 1.99
Step-by-step explanation:
Answer: $1.99
Step-by-step explanation:
One gallon is 4 quarts. 23.88/3 is 7.96. Each gallon is $7.96. Since there are 4 quarts in a gallon, 7.96/4 is 1.99. Each quart is $1.99
hep asap! i will mark you brainliest
Answer:
The second box for b will be 7
Step-by-step explanation:
If c = 10 , b = 5
If c = 14 , b = 7
If c = 18 , b = 9
If c = 22 , b = 11
If c = 26 , b = 13
Answer:
7
Step-by-step explanation:
I know
Select all of the points that are in the solution set graphed below.
Please Help Me with this one too
Answer:
The second one
Step-by-step explanation:
0.5 times 5 is 2.5
2.5 plus 14 is 16.5
0.5 times 10 is 5
5 plus 14 is 19
And so on
A cylindrical water vessel of diameter 1.4 m holds 770 litres of water. find the height of the vassel
Answer:
Answer at the bottom!!
Step-by-step explanation:
Given the diameter of cylinder = 1.4 m
=> Radius = 1.4/2 = 0.7 m
We know that volume of a cylinder = πr²h
= 3.14 x 0.7² x 2.1= 3.23 m³
For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m
water flows at a rate of 2 m per second
So, volume of water discharged in one second by pipe = πr²L
= 3.14 x 0.0175² x 2=0.0019
Hence time taken by the pipe to fill the cylinder
= 3.23/0.0019= 1700 sec
= 28 minutes and 20 seconds
Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.
Hope this helps!!
Cantidad separada por un punto
Answer:
de qye hablas xd
Step-by-step explanation:
cual es la pregunta.?
Answer:
las opciones?
Step-by-step explanation:
the options?
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+218x+75
Answer:
6.81s
Step-by-step explanation:
First you must know that the velocity of the body is zero at the maximum height.
v =dy/dx
v= -32x+218
Since v = 0
-32x+218 =0
32x =218
x= 218/32
x = 6.81s
Hence the rocket reaches its maximum height after 6.81s
Answer i got it wrong it was 5.94
Step-by-step explanation:
What is the total area, in square units, of the four triangular faces of a right, square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units
Given :
Square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units.
To Find :
The total area, in square units, of the four triangular faces of a right.
Solution :
We know, area of square based prism is given by :
[tex]A = a^2 + \dfrac{ah}{2}[/tex]
Here, a is the length of square base and h is the height .
[tex]A = 6^2 + \dfrac{6\times 5}{2}\\\\A = 51 \ units^2[/tex]
Therefore, total area in square units is 51.