Answer:
Number of children's ticket sold =41Number of adult ticket sold=53Step-by-step explanation:
Adult's ticket price= $2.50
Children's ticket price= $1.25
Let the number of children's ticket sold =xOne performance sells 12 more tickets to adult than children.
Therefore, the number of adult ticket sold =x+12In total they make $183.75.
Therefore, we have that:
1.25x+2.50(x+12)=$183.75
We solve the resulting equation for x.
Open the brackets
1.25x+2.5x+30=183.75
Collect like terms
3.75x=183.75-30
3.75x=153.75
Divide both sides by 3.75
x=41
Therefore:
Number of children's ticket sold ,x=41Number of adult ticket sold, x+12 =41+12=53make x the subject of m=n + x/p
Answer:
[tex] \boxed{x = p(m - n)} [/tex]
Step-by-step explanation:
[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]
HELPP PLZZ
Choose the correct graph of the given system of equations.
y − 2x = −1
x + 3y = 4
Answer:
The one that says: One solution: (-1,1)
Step-by-step explanation:
y=2x-1
3=-1/3x+4/3
What is the radius of the garden?
Step-by-step explanation:
Area of circle= Πr²
Πr² = 132² m
r²=132²/Π m
=5546.23m
r =√5546.23
=74.473 m
In the figure, PQ is parallel to RS. (see picture)
Which of the following angles has a measure equal to 100°?
A) a
B) b
C) c
D) d
Answer:
A
Step-by-step explanation:
Because B corresponds with 80 and a line segment is 180 degrees b + a =180 and a would be 100.
Find the distance between (16,12) and (0,0)
Answer:
3/4 using equation y2-y1/x2-x1
Step-by-step explanation:
Use the equation y2-y1/x2-x1
x1, y1 x2, y2
(16,12) (0,0)
0-12/0-16= -12/-16= 3/4
The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals with no spaces. Example: 1.23x10^4 or 1.23E4 Write the budget in scientific notation. 1 point Debt: Write the population in scientific notation. 1 point Population: Calculate the Budget Per Capita and write your answer in standard notation. Round to a whole number. 2 points Use the budget per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
Hello,
This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.
Budget = 69.1 billion
Converting this to scientific form = 6.91×10¹⁰
Population = 11.67 million
Converting this to scientific form = 1.167×10⁷
Budget per capita refers to budget allocated to each individual in the population.
Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.
Budget per capita = budget / total population
Budget per capita = 6.91×10¹⁰ / 1.169×⁷
Budget per capita = 5911.03
What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03
Carmen is dividing her rectangular garden with a diagonal fence. The length of the garden is 11 feet and the diagonal is 19 feet. Write an equation that can be used to find the width of the garden. Then find the width of the garden. Round to the nearest tenth, if needed.
Answer:
Equation: 19^2 - 11^2 = width
Step-by-step explanation:
use Pythagorean theorem to find the width.
so, 19^2 - 11^2 = 361-121= 240.
so width = square root of 240
Answer:
19^2 - 11^2 = width
Step-by-step explanation:
The total points scored in a basketball game can be calculated using the expression 3c + 3.
If c = 41, how many points total were scored?
Answer:
126 points :D
Step-by-step explanation:
Quick answer 126
You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.
What is the simplified expression in standard form
Answer:
[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]
Step-by-step explanation:
[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]
5. Find the volume:
6.8 m
9.2 m
6.2 m
Answer:
387.872
Step-by-step explanation:
to find volume you have to multiply the length times width times height so that's what I did to get the answer.
Ken flips 2 fair coins. What is the probability of obtaining the same result on each coin?
A convex polyhedron is made of 12 congruent faces like the one shown below. What is the name of the solid? A) dodecahedron ANSWER: A B) icosahedron C) pentagonal pyramid D) pentagonal prism
Answer: dodecahedron
Step-by-step explanation:
Answer:
Option A
Explanation:
Decahedron
evaluate.
(−1 2/3)^2=
Answer:
Step-by-step explanation:
(-5/3)(-5/3)= 25/9= 2 7/9
Using the following image, solve for x x .
Answer: x= 6
Step-by-step explanation:
2 +x + 1 = 2x -3
1x + 3 = 2x -3
+3 +3
1x + 6 =2x
-1x -1x
6= 1x
x= 6
work out the area of a circle with diameter 1.8cm take pie to be 3.142 and give your answer to 1 decimal place.
the value of 2(cos square 45 + tan square 60) is
Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
2(cos²45° + tan²60°)
= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )
= 2( [tex]\frac{1}{2}[/tex] + 3 ) ← distribute
= 1 + 6
= 7
Solve for X.
X/3=5/8
4 4/5
17/8
8/15
Answer:
x = [tex]\frac{15}{8}[/tex]
OR
x = [tex]1 \frac{7}{8}[/tex]
Step-by-step explanation:
[tex]\frac{x}{3} = \frac{5}{8}[/tex]
Cross Multiplying
x × 8 = 5 × 3
8x = 15
Dividing both sides by 8
x = [tex]\frac{15}{8}[/tex]
OR
x = [tex]1 \frac{7}{8}[/tex]
Si mi disco duro tiene una capacidad de 1.5 Terabytes ¿ cuántas llaves de 32 Gigabits caben en ese disco duro?
Answer:
The number of 32 Gigabit keys that can be fitted on the hard drive is 375.
Step-by-step explanation:
The question is:
If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?
Solution:
1 Terabyte = 8000 Gigabits
Then 1.5 Terabytes in Gigabits is:
1.5 Terabytes = (8000 × 1.5) Gigabits
= 12000 Gigabits
One key is of 32 Gigabits.
Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:
[tex]\text{Number of 32 Gigabit keys}=\frac{12000}{32}=375[/tex]
Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.
What is the area of the triangle shown below?
Answer:B: 40 squ. Units!
Step-by-step explanation:
Hope this helps
Answer:
40sq. Units
Step-by-step explanation:
I just did it
Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than Charlotte. What is the range of the relationship?
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have,
Charlotte has been working for her company for x years.
Travis has been working for the same company exactly 3 years longer than Charlotte.
This means that Travis have 3 years extra than Charlotte.
So, the range of the relationship is
y>3.
Learn more about Inequality here:
https://brainly.com/question/30231190
#SPJ7
What is the answer to this question 5 x 2/5 =?
Answer:
2
Step-by-step explanation:
5 * 2/5
Rewriting
5/1 * 2/5
5/5 *2/1
1*2
2
Answer:
The answer is 2
Step-by-step explanation:
solve the system of equations below. x-2y=3 2x-3y=9
Answer: x = 9, y = 3
Step-by-step explanation:
9 - 2(3) = 3
9 - 6 = 3
2(9) - 3(3) = 9
18 - 9 = 9
Answer:
x=9, y= 3
Step-by-step explanation:
x-2y=3
2x-3y=9
Multiply the first equation by -2
-2x +4y = -6
Add this to the second equation
-2x +4y = -6
2x-3y=9
------------------
y = 3
Now find x
x -2y =3
x -2(3) = 3
x-6 = 3
Add 6 to each side
x = 9
There are 15 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out
the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?
The number of ways can the teacher assign out is 75.
Given that,
There are 15 students in a kindergarten class.The following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board.Based on the above information, the calculation is as follows:
[tex]= 15\times 5[/tex]
= 75
Therefore we can conclude that The number of ways can the teacher assign out is 75.
Learn more: brainly.com/question/17429689
The cost of each white tile was £2 the cost of each blue tile was £4 b) work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
2b) 4/2=2
3) 80/60=8/6
what is 1.8 increased by 10 to make a new mean
Answer:
18
Step-by-step explanation:
1.8*10= 18/10*10=180/10=18
What is the length of the side opposite ZB?
3 units
4 units
5 units
6 units
Answer: 4 units
Step-by-step explanation:
The side that is opposite of B would be the side that is across from B
3 is across from A
5 is across from C
4 is across from B
The question is an illustration of right triangles
The length of the side opposite angle B is 4 units
From the figure, we can see that the triangle is a right triangle, with the following angles
Angle B
Angle A
Angle C
The triangle is right-angled at angle C.
From the figure, the length opposite angle B is length AC.
Where
AC = 4
Hence, the length of the side opposite angle B is 4 units
Read more about isosceles right triangle at:
https://brainly.com/question/20447308
How many fourths are in 2?
Answer:
2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.
Step-by-step explanation:
46 percent of 340 miles
Answer:
27
Step-by-step explanation:
If a quadrilateral has 3 angles measure 60,45 and 100; find the measure of the fourth angle
Answer:
The fourth angle is 155
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360 degrees
60 + 45 + 100 + x = 360
Combine like terms
205+x = 360
Subtract 205 from each side
205+x-205 = 360-205
x =155
Answer:
155
Step-by-step explanation:
Please help! Correct answer only please! I need to finish this assignment by today.
On her recent free-throw attempts, Norma made 24 shots and missed 58 shots. What is the experimental probability that Norma will miss her next free-throw attempt?
Simplify your answer and write it as a fraction or whole number.
P(miss) =
Answer:
58 / (24 + 58) = 29/41
Step-by-step explanation:
