Let, number of children are x and number of adult are y.
Total number of seats, T = 180.
x + y = 180 ....1)
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children.
So, total amount :
8.5x + 12.5y = A
8.5x + 12.5y = 1826 ....2)
Solving equation 1) and 2) , we get :
8.5x + 12.5( 180 - x ) = 1826
8.5x - 12.5x + 2250 = 1826
-4x = -424
x = 106
y = 180 - 106 = 74
Therefore, the number of adult tickets and the number of children's tickets that were sold are 74 and 106.
Hence, this is the required solution.
Find the distance from P(6,-9) to the origin.
Please helppp
Answer:
10 units
Step-by-step explanation:
Distance from P(6, -9) to O ( 0, 0 ) PO
Let
X1 = 6 X2 = 0
Y1 = -9 Y2 = 0
Formula of Distance
[tex]\sqrt{(x2 - x 1) + (y2 - y1)}[/tex]
[tex]\sqrt{6^{2} +(-9^{2}) }[/tex]
[tex]\sqrt{100}[/tex]
10 units
please answer these honestly and take as much time as you need. ty.
Answer:
1) 17/20 2)24 and 1/2 3)terminating 4) 0.8 5)1.8
Step-by-step explanation:
4) 4/5 times both sides by 2 then you get 8/10= 0.8
Answer:
first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.
Step-by-step explanation:
hope this helps :)
-2(x -3) what number should be distributed
Answer:
-2
Step-by-step explanation:
-2 needs to be distributed to the rest of the equation so that gives you -2x+6
He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY
Answer:
A
Step-by-step explanation:
The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB.
What is trigonometry?Trigonometry is a branch of mathematics concerned with the relationships between the sides and angles of triangles, as well as the calculations that are based on them.
It's widely used in fields like physics, engineering, and navigation. The sine, cosine, and tangent functions are the three primary trigonometric functions that relate the ratios of a right triangle's sides to its angles.
Now, the two sides making an angle Ф in a triangle will be having the fixed lengths then the length of the third side is proportional to the angle Ф.
Since the opposite angle of XY(79°) is larger than that of YZ(65°), so XY > YZ.
Again the opposite angle of YZ(65°) is larger than that of AB(36°), so YZ > AB.
Since the sides containing those angle are same and they are 8 ft
Therefore, statement A. is correct.
For more details regarding trigonometry, visit:
https://brainly.com/question/29002217
#SPJ7
Your question seems incomplete, the probable complete question is:
He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY
Find the quotient.
(Idk what it means I’m kinda confused)
Answer:
1 1/3
Step-by-step explanation:
-4/9 ÷ -1/3
Copy dot flip
-4/9 * -3/1
Rewriting
-4/1 * -3/9
simplify
-4/1 * -1/3
Multiply
4/3
Change to a mixed number
1 1/3
Answer:
So the quotient is when you divide so it would be the last one 1 and 1/3
Step-by-step explanation:
-4/9x3/-1(flip the reciprocal)
-12/-9
remove both negatives
simplify and divide both by three and you should get 4/3 which is 1 1/3
√294
A. 7√6
B. 8√3
Which one?
Answer:
√294 = A. 7√6
Explanation:
Factor 49 out of 294 . √
49 ( 6 ) Rewrite
49 as 7 ² . √ 7 ² ⋅ 6
Pull terms out from under the radical.
7 √ 6
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
Mark this and return
Answer:
5
Step-by-step explanation:
This would really help if you answered. I'll set it to a pretty decent amount of points
Answer: Not always the same
Step-by-step explanation:because as its shown every amountof tuna is not the same.
Answer: the price is not always the same/9 pounds
Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6
(Will Give Brainliest if Correct)
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54
Answer:
y=3.54m
Step-by-step explanation:
i already answered it
Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5
Answer:
[tex]\fbox{y = -3x + 5}[/tex]
Step-by-step explanation:
You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];
where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]Plugging these values into slope-intercept form gives:
[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.
The point that the line passes through is the y-intercept: [tex](0,5)[/tex].
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]
Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.
[tex]y-(5)=-3(x-(0))[/tex]Simplify the equation on both sides.
[tex]y-5=-3(x)[/tex]Add 5 to both sides of the equation.
[tex]y=-3x+5[/tex]This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.
The answer is [tex]D) \ $y = -3x+5[/tex].
The sum of two consecutive integers is no more than 17. What is the largest possible value for the greater integer?
a. 7 b. 10
C. 9 d. 6
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Answer:
a) 9 whole batches can be made
b) The cost of sugar for each batch = $0.26
Step-by-step explanation:
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.
This means:
2 pound bag of sugar = 227 teaspoon servings
2 pounds bag of sugar cost $2.49
We are told that:
A batch of muffins uses 1/2 cup of sugar.
a).How many whole batches can you make if you use as much of the sugar as possible?
(1 cup = 48 teaspoons)
Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2
= 24 teaspoons of sugar
Hence:
24 teaspoons of sugar = 1 batch of muffins
227 teaspoons of sugar = x
Cross Multiply
24 × x = 1 × 227
x = 227/24
x = 9.4583333333 batches of muffins
We are asked to name the number of whole batches that can be made.
Therefore, 9 whole batches of muffins can be made
b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Since we are not to consider the leftover sugar in the cost calculation,
1 batch = 24 teaspoons of sugar
9 whole batches =
9 × 24 teaspoons = 216 teaspoons of sugar was used
The left over = 227 - 216 = 11 teaspoons of sugar is left
We know that:
227 teaspoons of sugar = $2.49
216 teaspoons of sugar = x
Cross Multiply
= 216 × $2.49/227
= $2.369339207
24 teaspoons of sugar = 1 batch of muffins
Therefore,
216 teaspoons of sugar =
$2.369339207
24 teaspoons of sugar =
24 × $2.369339207/ 216
= $0.2632599119
Approximately = $0.26
Therefore, the cost of sugar for each batch = $0.26
A submarine is situated 400 feet below sea level. If it drops another 250 feet below sea level, what is the new position?
Answer:
-650ft
Step-by-step explanation:
I took a test with a question like that
It takes 1.5 gallons of paint to cover the walls in 3 rooms. Write an equation relating the number of rooms r to the number of gallons g. How many rooms can be painted using 9 gallons of paint?
Answer:
18 rooms.
Step-by-step explanation:
Because it takes 1.5 gallons of paint to cover the walls in 3 rooms, if we divide on 3 on each side, we will get 0.5 gallons of paint per room.
The equation is r = 0.5g.
If we apply this formula, and multiply both sides by 18, we will get 18r = 9g.
The answer is 18 rooms.
Did this help you? Please rate and click THANKS!
A groundskeeper needs grass seed to cover a circular field. 150 feet in diameter. A store sells 50-pound bags of grass seed. One pound of grass
seed covers about 60 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Answer:
6 bagsStep-by-step explanation:
Area of the field
A = πr²= πd²/4A = 3.14*150²/4 ≈ 17662 ft²Number of pounds
17662/60 = 294 poundsNumber of bags required
294/50 = 5.88 ≈ 6 bagsAnswer:
6
Step-by-step explanation:
Convert to a decimal rounded to the nearest hundredth: 8/11
Answer:
.72 and on going
Step-by-step explanation:
please open the link to see math problem
A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $20 each. The jewelry artist wants to make at least a profit of $300. Write an inequality that represents the situation. Make sure to write down the given information from the problem and represent your variables. Show all of your work. B). Find a possible solution for the inequality. Show all of your work and check your answer to make sure that it makes the inequality true.
Answer:
32.25 necklacesStep-by-step explanation:
Given that the expected profit upon deduction of booth rent and material cost is at least $300
Given
let the number of necklaces be x
booth rent= $200
The cost of materials for the necklaces = $4.5x
the selling price for all the necklaces =$20x
total expenses= booth rent+cost of material = 200+4.5x
profit = selling price -total expenses
20x-300>200+4.5x+
B. the possible solution is the value of x i.e the number of necklaces to
be sold to make a profit of $300
20x-300>200+4.5x
20x-4.5x=200+300
15.5x=500
x=500/15.5
x=32.25
The Jewelry artist must have to sell a total of approximately 32.25 necklaces
You are thinking of withdrawing all your funds; $45,000 from your 401 (k) at age 54. The normal tax rate for you would be 28%. The rules for withdrawing funds before the age of 59 1/2 is a 10% penalty. How much would you save if you waited until age 59 1/2?
Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]
Used the concept of tax which states that,
A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.
Given values:
Amount of funds: [tex]\$45,000[/tex]
Normal tax rate: [tex]20\%[/tex]
Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]
Step-1; Computation of after-tax amount paid at 54 years:
[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]
[tex]= \$45,000 \times (1 - 0.2)[/tex]
[tex]= \$36,000[/tex]
Step-2; Computation of after-tax amount paid at 59.5 years:
[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]
[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]
[tex]= \$32,400[/tex]
Step-3; Computation of the amount saved;
[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]
Therefore, the amount [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.
Learn more about taxes in the related link:
brainly.com/question/18367351
#SPJ12
How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide
Rachel's backyard pool is being emptied by a pump. The amount of water (W) in the pool in gallons, at any time (t) in hours is given by
the following equation:
W= 1800-300
How many gallons of water are being pumped out each hour? Just fill in the number.
Answer:
If you are saying that 300 gallons of water are being pumped out each hour then it will take 6 hours to pump out all of the water.
Step-by-step explanation:
To find that answer all I did was divide 1800 by 300. I don't know if that is the answer your looking for but I tryed sorry.
A triangle on the coordinate plane has points located at a (2,5), b (5,9), and c (8,5). What is the area of the triangle. 
Answer:
The area of the triangle is 12 unit²
Step-by-step explanation:
The vertices of the triangle are;
a(2, 5), b(5, 9), and c(8, 5)
The area of a triangle given coordinates can be given by the following determinant;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]
Therefore, we have;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]
Utilizing an online determinant calculator, we have;
[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]
Therefore, the area of the triangle is 12 unit².
CMONNN I NEEDDDDD HELP !!!!
Answer:
My answer will be 3.
Step-by-step explanation:
the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal
Answer:
Step-by-step explanation:
total meal cost = meal cost + tax cost + tip cost
[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]
The answer is 10.93
Step by step explanation
How to do this
Evaluate 20+3(8-5)
Answer:
29
Step-by-step explanation:
Use PEMDAS
First, you will do the parenthesis which is 3. 20+3(3)
Next, you will multiply 3 by 3, which is 9. 20+9
Last you will add 20 and 9. 29
Do order of Operations.
Parentheses:
(8-5) which is 3. You now have
20+3(3).
Multiply:
3(3) which gives you 9. Now you have
Add:
20+9. Which gives you 29.
So the answer to this question is 29.
I Hope I explained this good enough, if you have any more questions, ask me.
PLEASE HELP ME IM
RUNNING OUT OF TIME
Darrius bought 3 gallons of ice cream for $9.50 how much will it cost him if he wants 7 gallons?
Answer:
Its going to cost him 22.167
Step-by-step explanation:
Divide $9.50 by 3 = 3.167
multiply it by 7= 22.167
Simplify 5(1 + 3)^2.
Answer:
400
Step-by-step explanation:
5(1+3) to the power of 2
5×1=5 5×3=15
(5+15) to the power of 2
5+15=20
20 to the power of 2 = 400
If you answer someone's question=1 brainliest
Answer:I'mconfused
Step-by-step explanation:
I need help with these I also would like it if you showed your work.
Answer:
1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27
Step-by-step explanation:
1. Subtract 2 from 13 to get your answer of 11
2. Divide 15 by 3 to get your answer of 5
3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15
4. Add 5 to both sides to cancel out the negative 5 and you'll get 4
5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4
6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27