The price of a child ticket is $4 and the price of a senior citizen ticket is $10
Let's call the price of a senior citizen ticket "x" and the price of a child ticket "y".
On the first day, the school sold 3 senior citizen tickets and 4 child tickets for a total of $46, so we can write the equation:
3x + 4y =46
On the second day, the school took in $48 by selling 4 senior citizen tickets and 2 child tickets, so we can write another equation:
4x + 2y = 48
Now that we have two equations, we can use substitution or elimination to find the value of x and y.
For substitution, we can solve one equation for one variable and then substitute that expression into the other equation. For example, let's solve the first equation for x:
x = (46 - 4y)/3
Then, we can substitute this expression for x into the second equation:
4((46 - 4y)/3) + 2y = 48
Expanding the left side of the equation:
(184 - 16y)/3 + 2y = 48
Multiplying both sides by 3:
184 - 16y + 6y = 144
Combining like terms on the left side:
184 - 10y = 144
Subtracting 184 from both sides:
-10y = -40
Dividing both sides by -10:
y = 4
So the price of a child ticket is $4. To find the price of a senior citizen ticket, we can substitute this value back into the equation we solved for x:
x = (46 - 4y)/3 = (46 - 4 * 4)/3 = (46 - 16)/3 = 30/3 = $10
So the price of a senior citizen ticket is $10.
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Jose has scored 570 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.
Answer:
Step-by-step explanation:
Let's start by defining a variable to represent the minimum number of points that Jose must score on the remaining tests:
n = minimum number of points Jose must score on the remaining tests
To get an A for the semester, Jose must score at least 660 points. We know that he has already scored 570 points, so the total number of points he needs to score is:
660 - 570 = 90
Therefore, we can write the following inequality to find the minimum number of points Jose must score on the remaining tests:
n ≥ 90
This means that Jose must score at least 90 points on the remaining tests to get an A for the semester.
Pink paint is made by mixing white paint and red paint in the ratio 5 : 3. 32 litres of pink paint are made. How much white paints are used?
Answer:
20 liters of white paint, 12 liters of red paint
Step-by-step explanation:
Let w = liters of red paint and r = liters of red paint
[tex] \frac{w}{r} = \frac{5}{3} [/tex]
[tex]w = \frac{5}{3} r[/tex]
[tex]w + r = 32[/tex]
[tex] \frac{5}{3} r + r = 32[/tex]
[tex] \frac{8}{3} r = 32[/tex]
[tex]r = 12[/tex]
[tex]w = 20[/tex]
Ella writes the sequence:
2, 0.2, 0.02, 0.002…
Describe the rule she used to write the next number in this sequence
Answer:
0.0002
Step-by-step explanation:
She divides by 10.
Which is the standard form of the equation with p=26, theta=3pi/4
The standard form of the equation for the given p value and theta is equal to -x + y = 26√2.
Standard form of the equation is :
x cosθ + y sinθ = p
Here p = 26 and theta 'θ' = 3π /4
Substitute the value in the standard form we get,
x cos (3π/4 ) + y sin( 3π /4 ) = 26
⇒ x cos ( π - π/4 ) + y sin ( π - π/4 ) = 26
⇒ - x cosπ/4 + y sinπ/4 = 26
Substitute the value of cosπ/4 and sinπ/4 is equal to 1/√2 we get,
⇒ -x /√2 + y / √2 = 26
⇒ -x + y = 26√2
Therefore, the standard form of the equation is equal to -x + y = 26√2.
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A rocket is launched in the air. Its height in feet is given by h(t)= -16t^2+88t where t represents the time in seconds after launch. How long is the rocket in the air?
Answer: ___ seconds
A rocket is launched with height function h(t)= -16t²+88t for time 't' in seconds the rocket is in the air for the time t = 5.5 seconds.
A rocket launched with height function :
h(t)= -16t²+88t
't' represents the time in seconds
'h' is the height of rocket.
Time for which rocket is in the air given by :
When h(t) = 0
Substitute the value we get,
⇒ -16t²+88t = 0
⇒ -16t ( t - 5.5 ) = 0
⇒ -16 ≠ 0 or t ≠ 0 or ( t - 5.5 ) = 0
Time can never be zero.
hence,
( t - 5.5 ) = 0
⇒ t = 5.5 seconds
Therefore, the time of the rocket when it is in the air is equal to 5.5 seconds.
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1. The simple interest due on a 2.5-year loan of $8, 500 is $1,062.50. Find the monthly payments on the loan.
-$825.50
- $1,062.50
- $3, 825
-$318.75
WILL GIVE BRAINLIEST PLEASE HELP.
find the area of the shaded regions give your answers as a correctly simplified answer value in terms of pie
The area of the shaded region is 84.82 cm².
What is the area of the shaded region?
The area of the shaded region is calculated by subtracting the area of the sector from the area of the entire circle.
Since the angle of the sector is 90 degrees, we can conclude that the entire circle is divided into four.
Area of the shaded region = πr² - 1/4(πr²) = 3/4πr²
where;
r is the radius of the circleThe area of the shaded region is calculated as;
A = 3/4πr²
A = 3/4 x π ( 6 cm )²
A = 84.82 cm²
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A wheel of cheese has a radius of 7 inches and a height of 3 inches. What is the approximate surface area of this wheel of cheese? Use 3.14 for pi.
A wheel of cheese has a radius of 7 inches and a height of 3 inches
The approximate surface area of this wheel of cheese is 458.4 square inches.
To get the surface area of a cylinder, we have to calculate the area of the lateral surface and add the areas of the two circular end faces.
The lateral surface area of a cylinder is calculated as 2 * pi * r * h, where r is the radius and h is the height.
So the lateral surface area in this scenario would be: 2 * 3.14 * 7 * 3 = 150.52 square inches.
The area of the two end faces must then be calculated. we know, Pi * r^2, where r is the radius, gives the area of a circle.
So the area of each end face in this situation would be 3.14 * 7^2 = 153.94 square inches.
Total surface area= lateral surface area + end face area
=150.52 + 153.94 + 153.94 = 458.4 square inches (approximately)
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what percentage of 70 is 42?
Answer: 60
Step-by-step explanation:
(42/70) * 100
42/70 = 0.6
0.6 * 100 = 60
Answer : 70 - 42 = 28
then find out using percentage formula then will get answer =
60%
need help schoology
.
Answer:
a = 68°
Step-by-step explanation:
a and 112° are a linear pair and sum to 180° , that is
a + 112° = 180° ( subtract 112° from both sides )
a = 68°
solid shapes are regular when all the faces are eaqual which 3d shapes is regular?
a) cylinder
b) cube
c) cuboid
A regular solid shape is defined as a three-dimensional object that has all its faces congruent and all its vertices congruent. In other words, all faces have the same shape and size and all vertices have the same angle measures.
Among the options provided, only the cube is a regular solid shape. A cube is a three-dimensional object that has six equal square faces. Each face is a square and each vertex has the same angle measure. The edges of a cube are congruent and the shape is highly symmetrical.
The cylinder is not a regular solid shape because it has two congruent circular faces and one curved surface, which is not congruent to the other two faces. The vertices of a cylinder also have different angle measures.
The cuboid is not a regular solid shape because it has six rectangular faces, and the shape is not highly symmetrical. The vertices of a cuboid also have different angle measures.
In conclusion, a regular solid shape must have congruent faces and congruent vertices, and only a cube satisfies these conditions. It is important to note that not all regular shapes are regular solid shapes, for example, a sphere is a regular shape, but it is not a regular solid shape because it has no faces, vertices or edges.
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A cedar canoe has a mass of 40 kilograms and a density of 400 kilograms per cubic meter. Calculate its volume.
The volume of the cedar canoe with a mass of 40 kilograms and a density of 400 kilograms per cubic meter is 0.1 cubic meters.
What is the volume of the cedar canoe?Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given that;
Mass of the canoe m = 40kgDensity p = 400 kg/m³Volume v = ?To determine the volume, plug the given values into the above formula and solve for v.
p = m / v
v = m / p
v = 40kg / 400 kg/m³
v = 40kgm³ / 400 kg
v = 40m³ / 400
v = 0.1 m³
Therefore, the volume is 0.1 cubic meters.
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what is the probability of obserbing another sample proportion from this population that is between 0.45 and 0.70
WILL GIVE BRAINILEST HELP ASAP
Answer: B,C,D
Step-by-step explanation:
Since the only requirement is that the width needs to be at least 50 yds. B, C,D all work.
Can someone help please
The length of one edge of the cube is 8 cm and the radius of the sphere is 9 cm.
What is the cube root?
The cube root of a number is a value that when multiplied by itself thrice or three times produces the original value. For example, the cube root of 27, denoted as 3√27, is 3, because when we multiply 3 by itself three times we get 3 x 3 x 3 = 27 = 33.
The surface area of a cube is given by the formula:
A = 6 * a^2
where A is the surface area and a is the length of one edge of the cube.
So, in this case:
384 = 6 * a²
Dividing both sides by 6:
64 = a²
Taking the square root of both sides:
a = 8 cm
So the length of one edge of the cube is 8 cm.
The formula for the volume of a sphere is:
V = (4/3) * π * r³
where V is the volume, π is Pi (approximately equal to 3.14), and r is the radius of the sphere.
So, in this case:
729 = (4/3) * π * r³
Dividing both sides by (4/3) * π:
729 / (4/3) * π = r³
Taking the cube root of both sides:
r = pow(729 / (4/3) * π, 1/3) = 9 cm
So the radius of the sphere is 9 cm.
The cube root of 729 is 9.
Hence, the length of one edge of the cube is 8 cm and the radius of the sphere is 9 cm.
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reduce fraction 2x+nx-2y-ny/7x-7y and give boundaries
Answer:2+n/7
Step-by-step explanation:
Simplify the expression
math help help pleasee
Answer:
I belive the answer is "5x+35"?
Answer:
x=29
Step-by-step explanation:
3x+15+2x+20=180; 3x+2x=145; 5x=145; x=29
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For problems 12-15 find the unknown factor.
. 3/4 x ? =9/16
2/5 x ? =8/15
5/7 x ? = 5/9
0,4277 rounded to 2 decimal places?
Answer:
0.43
Step-by-step explanation:
Rounding to 2 decimal places means keeping only 2 digits after the decimal point and adjusting the third digit, based on the rules of rounding. In this case, the number 0.4277 would be rounded to 0.43. This is because the third digit after the decimal point (7) is 5 or greater, so we round up the second digit (2) to 3. This gives us the rounded number 0.43, which has only 2 decimal places.
Consider the function g(x)=−(x−3)^3−2.
Which ordered pair lies on the inverse of the function?
The ordered pair that lies on the inverse of the function is (25, 0)
Which ordered pair lies on the inverse of the function?From the question, we have the following parameters that can be used in our computation:
g(x)=−(x−3)^3−2.
Set x = 0
So, we have the following representation
g(0) =−(0−3)^3−2.
Evaluate the expression
This gives
g(0) = 25.
So, the ordered pair of teh inverse is (25, 0)
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Answer: -3,4
Step-by-step explanation:
(6) In a triangle, the sides have a ratio of 3:7:10. If the perimeter is 210 feet, what is the length of the longest side in feet? (A) * 10.5 (B) 31.5 (C) (D) 105
Answer:
(D)105 ft
Step-by-step explanation:
In a triangle, the sides have a ratio of 3:7:10. If the perimeter is 210 feet, what is the length of the longest side in feet? (A) * 10.5 (B) 31.5 (C) (D) 105
we divide the perimeter by the sum of the ratios and multiply by the largest ratio and we will have the longest side.
[210 : (3 + 7 + 10)] x 10 = 105 ft (your answer)
Step-by-step explanation:
the ratio tells us into how many units the total amount is split and then distributed among the different parts or members of the ratio.
3:7:10 means there are 3+7+10 = 20 units of length.
210 ft is the total of all lengths.
this is now split into these 20 units.
that means one unit of length for the ratio is
210/20 = 10.5 ft
the longest side is clearly the one with 10 units in the ratio.
so, it has
10×10.5 = 105 ft
Determine whether the graphs for the given equations are parallel, perpendicular, or neither
2x - 5y = -20
y = 2/5x - 1
Lines are not perpendicular .
What makes a line parallel?
Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane.
Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes are reciprocals with a negative sign.
2x - 5y = -20
5y = 2x + 20
y = 2/5x + 20/5
y = 2/5x + 4
m₁ = 2/5
y = 2/5x - 1
m₂ = 2/5
The product of the slopes of the two lines is
2/5 * 2/5 = -1
4/25 = -1
the lines are not perpendicular .
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PLS HELP I NEED THIS IN ASAP ILL GIVE U BRAINIEST IF CORRECT ANSWER
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 7.
Event B: The sum is not divisible by 6.
Write your answers as fractions.
A) P(A)=
B) P(B)=
Answer: A = 5/12, B = 5/6
Step-by-step explanation:
The sample space of rolling two dice has 36 possible outcomes. Remember that the "sample space" is a set which contains all possible outcomes.
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)
The probability of rolling a 2 is 1/36.
The probability of rolling a 3 is 2/36.
The probability of rolling a 4 is 3/36.
The probability of rolling a 5 is 4/36.
The probability of rolling a 6 is 5/36.
The probability of rolling a 7 is 6/36.
The probability of rolling an 8 is 5/36.
The probability of rolling a 9 is 4/36.
The probability of rolling a 10 is 3/36.
The probability of rolling an 11 is 2/36.
The probability of rolling a 12 is 1/36.
Using these probabilities, you can answer your questions:
Probability of rolling a number bigger than 7 is the sum of the probabilities of rolling an 8, 9, 10, 11, and 12.
5/36 + 4/36 + 3/36 + 2/36 + 1/36 = 15/36 which reduces to 5/12
The probability of rolling a number not divisible by 6 is from the combinations 1,5 : 2,4 : 3,3 : 4,2 : 5,1 : and 6,6.
1 - 6/36 of possible combinations, which reduces to 1 - 1/6, which is reduced to 5/6.
Hope this helps, and you understand
Answer:
Probability of rolling a number bigger than 7 is 5/12The probability of rolling a number not divisible by 6 is reduced to 5/6.
Step-by-step explanation: (answer from 2800818, he was the one who gave the answer)
-me:
. A motocross company offers a loan to buy an ATV
for $4,000. What is the monthly payment?
Loan Offer
9.3% Simple Interest
Equal monthly payments for 6 years.
C
The monthly payment is $86.55. The result is obtained by using the formula for simple interest.
How to count the simple interest?The simple interest of an amount of money can be counted by the following formula.
I = P × r × t
Where
I = simple interestP = principal amount (initial balance)r = simple interest rate (usually per year)t = time periodA motocross company offers a loan to buy an ATV for $4,000. Loan Offer 9.3% Simple Interest.
If it is for 6 years, find the monthly payment!
We have
r = 9.3%P = $4,000t = 6 yearsIt is not mentioned that the simple interest apply per year or per month. We assume the simple interest is per year. It will be
I = P × r × t
I = $4,000 × 9.3% × 6
I = $2,232
The total money to be paid will be
A = P + I
A = $4,000 + $2,232
A = $6,232
The monthly payment is
MP = A/t
MP = $6,232/(6 × 12)
MP = $6,232/72
MP = $86.55
Hence, the person who borrows for $4,000 to buy an ATV should pay $86.55 each month for 6 years.
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jokes are listed in a magazine, where one is written by a female author. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if a joke by a man is told first?
Answer: Let's assume that there are "m" jokes written by male authors and "f" jokes written by female authors, such that m + f = total number of jokes in the magazine.
If a joke by a man is told first, there are (m - 1)! ways to arrange the remaining m - 1 jokes written by male authors and f! ways to arrange the jokes written by the female author. The total number of ways the jokes can be delivered is (m - 1)! * f!.
So, the answer is (m - 1)! * f! ways to deliver the jokes if a joke by a man is told first.
Step-by-step explanation:
3 ( n -5 ) = 21 integers answers pls
Answer:
n = 12
Step-by-step explanation:
Solve for n
3 ( n -5 ) = 21
Divide each side by 3.
3/3 ( n -5 ) = 21/3
n-5 = 7
Add 5 to each side.
n-5+5 = 7+5
n = 12
Help me in the second question please
The equation representing the hanger is 3x - 2y = 0 and when x = 6, y = 9
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, the weight of the square is y
And, the weight of the triangle is x
Now, the equation according to the diagram is;
x + 3y = 4x + y
4x - x + 3y - y = 0
3x - 2y = 0
Now, when, x = 6
So, y =
3x - 2y = 0
3x = 2y
3(6) = 2y
18 = 2y
y = 9
Hence, the equation representing the hanger is 3x - 2y = 0 and when x = 6, y = 9
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I need help with this ASAP PLEASE
Please help me find the value of x!
Answer:
90
Step-by-step explanation:
45+45=90
i need help solving the first problem
Answer:
f(x), g(x)10, 0, UNDEFINEDStep-by-step explanation:
You want to know which functions have 5 in their domain, and what the function value is at x=5.
f(x) = x² -3xg(x) = (x -5)/xh(x) = √(x -10)ValuesIt is more convenient to do the second part first, as that tells you the answer to the first part:
f(5) = 5² -3·5 = 25 -15 = 10 . . . . 5 is in the domain
g(5) = (5 -5)/5 = 0/5 = 0 . . . . 5 is in the domain
h(5) = √(5 -10) = √(-5) . . . . UNDEFINED; 5 is not in the domain