The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f = 180 EndLayout
StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f minus d = 180 EndLayout
StartLayout Enlarged Left-Brace 1st Row f minus d = 240 2nd Row f = 180 + d EndLayout
StartLayout Enlarged Left-Brace 1st Row f minus d = 240 2nd Row f = 180 d EndLayout
Answers
Answer:
x+y=240
y=x+180
Step-by-step explanation:
Let x be the amount of discount tickets and y be the amount of full-priced tickets. We can use this to set up a system of equations:
x+y=240
y=x+180
Answer:
StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f = 180 EndLayout
Step-by-step explanation:
The answer above is correct.
Related Questions
7
Jackson is creating a rectangular board game that includes a diagonal line from two of the corners of the game. How long is the diagonal if the board game is 10 inches
long by 8 inches wide? Explain your reasoning. Round your answer to the nearest tenth of an inch.
Helppp
Answers
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.
Which of the following statements best summarizes the pattern of causality captured by the graph above? Check all that apply.O a change in e causes a shift of the budget constraint. O a change in p causes O a change in s. the relationship between s and p is not a causal relationship. O a change in s causes a change in p.
Answers
The statements which best summarizes the pattern of causality captured by the graph attached are: A change in E causes a shift of the budget constraint; and, the relationship between S and P is not a causal relationship.
What is causality in linear regression?Causality means that there is a clear cause-effect relationship between two variables. By using a controlled study is the most effective way of establishing causality among variables. In a controlled study, the sample or population is split in two, with both groups being comparable in almost every way. Then, the two groups receive different treatments, and the outcomes of each group are assessed.
Although part of your question is missing, you might be referring to this full question: Which of the following statements best summarizes the pattern of causality captured by the graph above? Check all that apply. (Graph is attached.)
A change in E causes a shift of the budget constraint.A change in P causes a change in S.The relationship between S and P is not a causal relationship.A change in S causes a change in P.Learn more about causality at: https://brainly.com/question/14127087
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A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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What is (-2/3)+(7/8)?
Answers
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
\(\frac{(-2*24)/3+(7*24)/8}{24}\)=
\(\frac{-2*24/3+7*24/8}{24}\)=
\(\frac{-2*8+7*3}{24}\)=
\(\frac{-16+21}{24}\)=5/24
5.
Which value of x would satisfy this inequality?
V3
4
2
A А.
С
D
000
4
10
Answers
Answer:
C) 4/5
Step-by-step explanation:
pi/4 = 0.7853981634
\(\frac{\sqrt{3} }{2}\) = 0.8660254038
3/4 = 0.75. It's less than pi/4, so not correct
9/10 = 0.9. It's more than 0.866, so not correct
4/5 = 0.8. It's right for both condition
8/9 = 0.888. It's more than 0.866, so not correct.
Pls answer this quickly. I need at atleast 70%
Answers
The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.
How to find the equation of a line?The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.
Therefore, let's represent the line with yellow point in slope intercept form.
Hence,
y = mx + b
where
m = slopeb = y-interceptTherefore, using (0, 2) and (6, 9).
m = 9 - 2 / 6 - 0
m = 7 / 6
Hence, let's find the y-intercept
y = 7 / 6 x + b
2 = 7 / 6(0) + b
b = 2
Therefore,
y = 7 / 6 x + 2.
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which of the following statements are true about the points (5,3) and (5,-3) is true
A. is in the same quadrant
B. is a reflection of each other over the y-axis
D. is a reflection of each other over the x-axis
C. reflections over both axis
Answers
Answer:
we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Step-by-step explanation:
We need to find which of the following statements are true about the points (5,3) and (5,-3) is true.
We are given a point (5,3)
and other point (5,-3)
We know that refection over x-axis states that the value of y-coordinate will be negated while x-coordinate value remain same.
In our case, first point (5,3) the coordinates are: x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains same while, y-coordinate value is negated (negative)
So, we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Answer: Option D is the correct option.
Step-by-step explanation:
We need to find which of the following statements are true about points (5,3) and (5,-3) is accurate.
We are given a point (5,3)
and another point (5,-3)
We know that reflection over the x-axis states that the value of the y-coordinate will be negated while the x-coordinate value remains the same.
In our case, for the first point (5,3) the coordinates are x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains the same while, the y-coordinate value is negated (negative)
So, we can say that the points are reflections of each other over the x-axis.
in a box of stones,the ratio of red marbles to total marbles 2:5. The ratio of green stone to total stones is 3:10. If the stones that are neither red nor green is blue,how many blue stones are the box if there are 40marbles in the box?
Answers
Answer:
12 blue marbles
Step-by-step explanation:
multiply 2:5 by 8 to get 16:40
multiply 3:10 by 4 to get 12:40
add 16 to 12 to get 28
Subtract 28 from 40 to get 12
Ultimately, you have 12 blue marbles
The given ratios can be expressed as fractions, from which the number of
each colored marble can be found.
The number of blue marbles in the box are 12 blue marbles.Reasons:
Red : Total = 2:5
Green : Total = 3:10
Stones that are neither red nor green is blue
Number of marbles (stones) in the box = 40 marbles
Required:
The number of blue stones in the box.
Solution:
Let x represent the b in the box, let R = red stones, G = green stones, and B = blue stones, we have;
x = 40
Expressing the ratios as fractions gives;
\(\dfrac{R}{x} = \dfrac{2}{5}\)Therefore;
\(R= \dfrac{2}{5} \times x\)
\(R= \dfrac{2}{5} \times 40 = 16\)
The number of red stones, R = 16
Similarly, we have
\(\dfrac{G}{x} = \dfrac{3}{10}\)\(G = \dfrac{3}{10} \times x\)
Therefore;
\(G = \dfrac{3}{10} \times 40 = 12\)
The number of green stones, G = 12
B = x - (R + G)
Therefore;
B = 40 - (16 + 12) = 12
The number of blue marbles, B = 12 marbles.Learn more here:
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3x - 7 = 3(x - 3) + 2
Answers
3x - 7 = 3x - 7
3x - 3x = -7 + 7
0 = 0
This is obviously always true!
Any value of x will satisfy the original equation.
Example object in kilometers
Answers
Answer:
what are you trying to ask?
Step-by-step explanation:
there's no picture or a question really
\(\frac{2}{2+\sqrt{7} }\)
Answers
Answer:
\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)
Step-by-step explanation:
This is a rationalizing denominator question.
Given expression:\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answers
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answers
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Can someone help me with this???
Answers
The answer to number 2 is- no it's not a right triangle
the answer to number 3 is- yes it is a right triangle
I need help answering this problem pls
Answers
Answer: b = 20 c = 160
Step-by-step explanation:
the value of a straight angle is 180, so 180-20= 160
This is because they’re vertically perpendicular lines and we know that angles opposite each other equal the same. So the opposite B is 20 so b will also be 20 and to work out c you do 360-40= 320 and then you divide 320/2=
160
Hope this helps
write the ratio as a fraction in simplest form
Answers
52. Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.
Answers
The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.
Which vector is as described in the task content above?It follows that the magnitude of a vector in terms of its components in the i and j direction is;
M = √(x² + y²).
On this note, since the i and j components are equal; x = y and hence, we have;
3 = √(x² + x²).
3² = 2x²
x² = 9/2
x = 3/√2
x = 3√2/2
On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.
Read more on vector components;
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kirana buys boxes of crackers that each has the same cost x. she represents the cost of 3 boxes of cheese crackers, 5 boxes of poppy seed crackers, and 4 boxes of plain crackers using the expression 3x+5x+4x. What equivalent expression can represent the cost.
A. 3•5•4•x
B. 10x
C. 12x
Answers
Answer:
c. 12x
Step-by-step explanation:
Can you think of any other real-life scenarios where parallel lines and
transversals exist?
Answers
Answer:
Some examples of parallel lines cut by a transversal: Zebra crossing on the road. Road and railway crossing. Railway tracks with sleepers.
Use the image to determine the direction and angle of rotation. Graph of triangle ABC in quadrant 1 with point A at 1 comma 3. A second polygon A prime B prime C prime in quadrant 4 with point A prime at 3 comma negative 1. 90° clockwise rotation 180° clockwise rotation 180° counterclockwise rotation 90° counterclockwise rotation
Answers
First, we can find the translation vector that moves point A to point A':
translation vector = A' - A = (3, -1) - (1, 3) = (2, -4)
Next, we can find the vector that connects point B to point A in the original triangle ABC:
vector AB = B - A
Then, we can rotate this vector using the rotation matrix for the desired angle of rotation:
90° clockwise rotation:
|0 -1| |x| |y'|
|1 0| * |y| = | -x'|
180° clockwise rotation:
|-1 0| |x| |x'|
| 0 -1| * |y| = |y'|
180° counterclockwise rotation:
|-1 0| |x| |-x'|
| 0 -1| * |y| = |-y'|
90° counterclockwise rotation:
| 0 1| |x| |-y'|
|-1 0| * |y| = | x'|
Finally, we can add the translation vector to the rotated vector to get the coordinates of the corresponding point in the new polygon A' B' C':
90° clockwise rotation: B' = A' + (AB rotated 90° clockwise + translation)
180° clockwise rotation: B' = A' + (AB rotated 180° clockwise + translation)
180° counterclockwise rotation: B' = A' + (AB rotated 180° counterclockwise + translation)
90° counterclockwise rotation: B' = A' + (AB rotated 90° counterclockwise + translation)
Using this method, we can find the coordinates of points B' and C' in the new polygon A' B' C'. Then, we can use the coordinates of these points to determine the direction and angle of rotation needed to move the original triangle to the new polygon.
I don't know how to do.
Answers
Write an expression using the distributed property to dind the product of 7x63
Answers
The product of the expression 7 x 63 is 441.
We have,
To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:
7 x 63 = 7 x (60 + 3)
Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:
7 x (60 + 3) = 7 x 60 + 7 x 3
Simplifying further:
7 x 60 + 7 x 3 = 420 + 21
Therefore,
The product of 7 x 63 is 441.
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a circle O has a chord length of 24 ft anda perpendicular distance from the center of the chord of 5 ft find the radius
Answers
Answer:
13 ft
Step-by-step explanation:
\(l(chord) = 24\: ft\) (Given)\(l(perpendicular) = 5\: ft\) (Given)Perpendicular dropped from the center of the circle to the chord bisects the chord.\(\implies \frac{1}{2}l(chord) = 12\: ft\)Let the \(l(radius)\) be r ft.Radius of the circle, perpendicular to the chord and half of chord forms a right triangle where r represents the hypotenuse. Thus, by Pythagoras Theorem:\(r=\sqrt{{[\frac{1}{2}l(chord)]}^2+{[l(perpendicular)]}^2}\)\(\implies r=\sqrt{{12}^2+{5}^2}\)\(\implies r=\sqrt{144+25}\)\(\implies r=\sqrt{169}\)\(\implies r= 13\: ft\)HELP! LOTS OF POINTS!
The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've scored the following points.
84, 67, 74, 87, 67, 73
If the coach is discussing their year with the local newspaper, which measure of central tendency is he least likely to use?
range
mode
mean
median
Answers
Answer:
The answer is Mode!
Step-by-step explanation:
Answer:
Mode
Step-by-step explanation:
write 363 in the base-four system
Answers
Answer:
363 = 11223₄
Step-by-step explanation:
You want 363 written in base 4.
Base conversionWe can convert to base 4 by looking at the remainders from repeated division by 4:
363 ÷ 4 = 90 r 3
90 ÷ 4 = 22 r 2
22 ÷ 4 = 5 r 2
5 ÷ 4 = 1 r 1
1 ÷ 4 = 0 r 1
Writing the remainders in reverse order gives the base-4 number:
363 = 11223₄
Urgent, please help
I'll mark brainliest
Answers
Answer:
Step-by-step explanation:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.
Given the parent function
f(x) = 4x
If the function is not reflected over x-axis, the resulting function will be f(x) = -4x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/8(-4x)
g(x) = -1/2x
Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
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Find the size of the angle 2 x
Answers
Answer:
Given - Angles measure 2x , X and 3x
To find - Measures of 2x
Solution -
2x + X = 180° ( forming linear pair )
3x = 180°
x = 180/3
x = 60°
2x = 2 × 60 = 120°
Answer:
120°
plz give brainlist
Step-by-step explanation:
since 2x and x form a straight angle you get the equation
2x + x = 180
combine like terms
3x = 180
devide by 3
x = 60
evaluate 2x
2(60) = 120
In how many ways can a class of nineteen students be divided into 3 sets so that 4 students are in the first set, 6 students are in the second set and nine students are in the third set?
Answers
Answer:
216
Step-by-step explanation:
Round 23.009 to the nearest hundredth.
Answers
Answer:
23.01
Step-by-step explanation:
If you need to round to the nearest hundredth, you need to look at the digit to the right of it. If it is 5 or above, the number in the hundredths place will be increased by 1.
Roundinh 23.009 the nearest hundredth.
1. Look at digit to the right of it which is 9. So because the digit 9 is 5 or above, then the number in the hundredths (0) increases by 1. Hence the answer of 23.01
What is 5 times 9 divided 5 add 40 subtract 100
Answers
Answer:
-51
Step-by-step explanation: