Answer: In first question, Number of student's ticket(s) = 400
And number of adult's ticket(d) = 100
In second question, The goal of $3050 fell by $710
Step-by-step explanation:
1. Since, Here d represents the number of adult tickets and s represents the number of student tickets.
And, all 500 seats are filled for a performance.
Therefore, s + d = 500 ------(1)
Also, the price of one adult's ticket = $8.50
The price of one student's ticket= $5.50
And, their is a revenue of $3050 by selling the tickets.
Thus, 8.50 d + 5.50 s = 3050 --------(2)
By solving the equation (1) and equation (2),
we get, s = 400, d=100
Thus, Number of student's ticket(s) = 400
And number of adult's ticket(d) = 100
2. According to the question,
s = 2 d ----- (3)
s + d = 360 -----(4)
By solving equation (3) and (4),
We get, s = 240 and d = 120
thus, the total revenue after selling 360 tickets = 8.50 × 120 + 5.50 × 240 = $2340
But, the goal is $3050 ( according to the question)
Thus the total fall = 3050 - 2340 = $710
The city cultural center needs to sell 140 adult and 360 student tickets to meet their target revenue of $3050. If they sell 120 adult tickets and 240 student tickets (360 in total), they will fall $710 short of their goal.
Explanation:In order to help the members of the city cultural center determine how to distribute tickets between adults and students to meet their target revenue, we have to solve a system of linear equations. The two equations we have for the system are 8.50d + 5.50s = 3050 (which represents the relationship between the price of adult and student tickets and the targeted total revenue), and d + s = 500 (which expects all 500 seats to be filled). Solving these equations, we find that d = 140 adult tickets and s = 360 student tickets need to be sold.
For the second part of the question, they sold 120 adult tickets and 240 student tickets, making a total of 360 tickets at one performance. The total revenue generated from these tickets is (120*8.50) + (240*5.50) = 1020 + 1320 = $2340. So, they fell $3050 - $2340 = $710 below the goal.
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Write the following expression as a function of a positive acute angle. cos 215
Answer:
- cos 35°
Step-by-step explanation:
215° is in the third quadrant where cos is negative
cos 215° = - cos( 215 - 180)° = - cos 35°
Answer:
- cos 35°
Step-by-step explanation:
215° is in the third quadrant in which cos is negative
cos 215°
cos(α - 180°) = - cos theta
-cos( 215 - 180)°
- cos 35°
hope it helps:)
mark brainliest!
A taxi charges a pick-up fee p!us a charge per mile. Maria paid $15.00 for a 7 mile rode. To my paid $19.50 for a 10 mile ride. Find slope. Write the Y intercept in coordinate form. Explain what the Y intercept represents in the problem. Then write the equation in Y intercept form.
Answer:
The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.
Step-by-step explanation:
This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.
a number is multiplied by 5, and then 3 is subtracted from th product. the result is 12
Answer:
3 would be the original number :D
Step-by-step explanation:
3x5 = 15. 15 - 3 = 12.
To solve this problem, we need to use algebra to find the value of the unknown number.
Explanation:To solve this problem, we can use algebra. Let's let the number be represented by the variable x. According to the problem, 5 times x minus 3 equals 12. We can write this as the equation 5x - 3 = 12. To find the value of x, we need to isolate it on one side of the equation. Adding 3 to both sides, we have 5x = 15. Then, dividing both sides by 5, we get x = 3.
This is a basic algebraic problem. To solve it, we have to set up an equation. Let's denote the unknown number as x. According to the problem, the number (x) is multiplied by 5, and then 3 is subtracted from the result. This operation reaches the final result which is 12. Written in form of equation, it is: 5x - 3 = 12.
To solve for x, you need to isolate it on one side of the equation. First, add 3 to both sides of the equation to get rid of the -3 on the left side: 5x = 12 + 3, or 5x = 15. Then, you divide both sides by 5: x = 15 / 5. So, the value of x is 3.
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9x^2-6x+8=0 what is the fifth step in solving this equation
Answer:
write the equation as a binomial
Step-by-step explanation:
Tell whether the function shows growth or decay.
Answers:
Problem 7) Decay
Problem 8) Growth
Problem 9) Growth
==========================================
Explanation:
The base of the exponent will tell us if we have growth or decay.
In general, we have an equation in the form y = a*b^x with b as the base of the exponent
We can have b = 1+r where r is the growth rate. If r is negative, then that growth is really decay (or the amount is shrinking)
For problem 7, the base is 0.04 so 1+r = 0.04 leads to r = -0.96; so the amount is shrinking or decaying by 96% each time x increases by 1.
In problem 8, we have growth because 1.4 = 1+0.40 = 1+r so r = 0.40 = 40% growth
Finally, in problem 9, we can break up the base 6 into 6 = 1+5.0 = 1+r meaning r = 5.0 = 500% growth
Mandy competed in a race that included running and biking.Mandy ran 1 3/4 and bicycled 3.6 miles. Mandy total time was 0.7 hour what was Mandy approximate average speed on miles per hour. A. 3.75 miles per hour. B. 6.87 miles per hour. C. 7.06 miles per hour. D. 7.64 miles per hour
Answer:
1 3/4 = 7/4 = 1.75 miles (ran);
1.75 + 3.60 = 5.35 miles ( ran and bicycled);
average speed = 5.35 / 0.7 = 7.64 miles per hour;
The correct answer is D.
Step-by-step explanation:
[tex]\frac{y}{a} -b=\frac{y}{b} -a[/tex]
If a doesn't equals b
Find a, b, and y
[tex]Domain:\ a\neq0\ \wedge\ b\neq0\\\\\dfrac{y}{a}-b=\dfrac{y}{b}-a\qquad\text{multiply both sides by ab}\\\\by-ab^2=ay-a^2b\qquad\text{add}\ ab^2\ \text{to both sides}\\\\by=ay+ab^2-a^2b\qquad\text{subtract}\ ay\ \text{from both sides}\\\\by-ay=ab^2-a^2b\\\\(b-a)y=ab(b-a)\qquad\text{divide both sides by}\ (a-b)\neq0\\\\y=ab\\\\Answer:\ a\in\mathbb{R}-\{0\},\ b\in\mathbb{R}-\{0\},\ a\neq b,\ y=ab\\\\Example:\\a=2,\ b=3\to y=(2)(3)=6\\\\substitute\ to\ the\ equation:\\\\L_s=\dfrac{6}{2}-3=3-3=0\\R_s=\dfrac{6}{3}-2=2-2=0\\\\L_s=R_s[/tex]
how would you do this?
Write the equation 'x-intercept = 4, y-intercept = -1' in slope-intercept form.
Answer:
y = 1/4x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
m is the slope and b is the y intercept
but we do not know the slope y know the x intercept
(4,0 )
and the y intercept
( 0,-1)
We can calculate the slope using these points
m = (y2-y1)/ (x2-x1)
= (-1-0)/(0-4)
= -1/-4
= 1/4
Now we can put the slope = 1/4 and the y intercept =-1 into the formula
y = 1/4x-1
y=1/4x-1 I think is the answer to that question
Answer options are A,B,C. Please help ASAP!!
Answer:
Graph B has 1 real root
Graph A has a negative discriminant
Graph C has an equation with a=1, b=4 , c=-2
Step-by-step explanation:
If we look at the graph, Graph A never crosses the x axis, so it does not have any real roots.
Graph B touches the x axis, but does not cross so it has 1 real root
Graph C crosses the x axis 2 times, so it has 2 real roots.
We know from the discriminant b^2-4ac
If the discriminant >0 it has 2 real roots, so Graph C has a positive discriminant
If the discriminant =0 it has 1 real root, so Graph B has a zero discriminant
If the discriminant <0 it has 0 real roots, so Graph A has a negative discriminant
If we have a=1, b=4 , c=-2
b^2-4ac = 4^2-4(1)(-2) = 16+8 = 24 >0 This must be Graph C
BRAINLIEST ANSWER TO FIRST ANSWERER!!!!
In DEF sin D= 24/26 what is cos E
Answers in pic
Answer:
B) 24/26
Step-by-step explanation:
The ratio of sine is opposite/hypotenuse. This means the side opposite angle D, EF, has length 24 and the hypotenuse, DE, has length 26.
The ratio of cosine is adjacent/hypotenuse. For cos E, we want the side adjacent to E (EF) and the hypotenuse (DE). Using these, we have the ratio 24/26.
In DEF, sin D= 24/26 , then cos E = 24/ 26. Option B) 24/26 is correct.
What are trigonometric ratios ?Trigonometric ratios are defined as the sides and angles of a right-angled triangle are deal with in Trigonometry.
We have,
In DEF sin D= 24/26
Using Pythagoras Theorem,
[tex]P^2 + B^2 = H^2\\\\EF^2 +FD^2 = EF^2\\\\24^2 + FD^2 = 26^2\\\\FD^2 = 676 - 576\\\\FD^2 = 100\\\\FD = 10[/tex]
But, cos E = EF / ED
cos E = 24/ 26
Hence, we can say that In DEF, sin D= 24/26 , then cos E = 24/ 26.
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Really easy question and so many points!!!
Answer:
b.) 60
Step-by-step explanation:
M = 29 N = 32
32+29 = 61
The closest option to 61 is 60
Answer:
b
Step-by-step explanation:
Some animals on farms eat hay to get energy. A horse can eat twenty pounds of hay each day. Write and evaluate an expression to find how many pounds a group of twenty horses can eat in two weeks.
A. 20 + (20×14) =?
B. 20(20×14) =?
C. 20(20×7) =?
D. 20(20+7) =?
Answer:
B
Step-by-step explanation:
20pounds/day * 14days * 20horses
The correct expression to determine the total hay consumption by 20 horses in two weeks is 20 × (20 × 14), which equals 5,600 pounds. Thus, the correct answer to the student's question is option (B).
The question from the student involves finding the total amount of hay consumed by a group of twenty horses over a period of two weeks. This problem can be solved with a straightforward multiplication.
Since one horse eats 20 pounds of hay each day, we can calculate the total hay consumption for one horse over two weeks (which is 14 days) by multiplying the daily consumption by 14:
1 horse: 20 pounds/day × 14 days = 280 poundsTo find out how much hay 20 horses eat in two weeks, we multiply the amount that one horse would eat in two weeks by 20:
20 horses: 280 pounds/horse × 20 horses = 5,600 poundsHence, the correct expression and evaluation to determine the total amount of hay consumed by 20 horses in two weeks is:
Option B: 20 × (20 × 14) = 5,600
A car dealership buys a car from a factory for $20,000. If the car dealership marks up the price of the car by 50% before selling it, what is the final sale price?
Answer:
The final sale price is $30,000.
Step-by-step explanation:
50% of $20,000 is $10,000.
$20,000+$10,000=$30,000.
Final answer:
To find the final sale price with a 50% markup on the original $20,000 price, add $10,000 (which is 50% of $20,000) to get a final sale price of $30,000.
Explanation:
To calculate the final sale price of a car after a 50% markup, we take the original purchase price of the car and add half of that price to it. If the car dealership buys a car for $20,000, a 50% markup would be half of $20,000, which is $10,000. So, the final sale price would be:
$20,000 (original price) + $10,000 (50% of $20,000) = $30,000.
Hence, the car dealership would sell the car for $30,000 after a 50% markup.
The following data show the prices of different types of outfits at a store: $2, $2, $28, $26, $25, $27, $25, $27, $26, $28, $30 Which statement is correct about the box plot for the above data? The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the right. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the left. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the right.
2, 2, 25, 25, 26, 26, 27, 28, 28, 30
Minimum: 2
Maximum: 30
Median: 26
Lower quartile: 25
Upper quartile: 28
The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
Just so you know, I didn't write this. Next time, do a google search for your answer. But in the mean time, here you go.
Answer: Number 3- The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
Step-by-step explanation:
The following data show the prices of different types of outfits at a store:
$2, $2, $28, $26, $25, $27, $25, $27, $26, $28, $30
Which statement is correct about the box plot for the above data? (1 point)
1. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the right.
2. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the left.
3. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
4. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the right.
The two $2 at the beginning of the data are outliers. They are exceptionally lower than all the other numbers, meaning they will be alone at the beginning of the data. That is the left! Now, it is number 3 and not 4 because it makes the data skewed to the left because of the low prices, not right. The two $2 hang off to the left. Which means the answer is number 3!
3. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
Can someone tell me if my answer is right and if not what the answer is?
You're really close. lol.
the slope of the line isn't negative though.
when the line is moving up to the right, it's positive.
the y-intercept is also positive. the y-intercept is where the line intercepts with the y-axis. if you look at the graph, you'll see that the line intercepts with the y-axis at +8 instead of -8
The answer is:
C. y = 1/4x + 8
Answer:
No that's wrong it is the third one.
Step-by-step explanation:
The line is on a positive slope so it has to be a positive x-value. Also, the y intersect is at positive 8.
Round 41,003 to the nearest hundred
Answer:
41000
Step-by-step explanation:
ten thousand thousand hundred tens ones.
4 1 0 0 3
We are rounding to the nearest hundred which is 0. We look at the number to the right. If it is 5 or above " give it a shove" or round up. Since it is also a 0, we leave it alone.
41000
Answer:
41000
Step-by-step explanation:
trust me
calculate the slope of the line between the point (-3,2) and (5,0)
PLZ HELP I NEED TO FINISH IN A FEW MINUTES IM REALLY CONFUSED
Answer:
The slope of the line is -1/4
Step-by-step explanation:
To find the slope, we use the formula
m = (y2-y1)/(x2-x1)
We have the points (-3,2) and (5,0)
= (0-2)/(5--3)
= (-2)/(5+3)
=-2/8
= -1/4
The slope of the line is -1/4
The variables y and x have a proportional relationship and y=7 when x=2 what is the value of x when y=21
Answer:
x=6
Step-by-step explanation:
Since y=7 when x=2, we can from here simplify and see that y=3.5 when x=1. If y=21, then we multiply 7 by 3 which is 21, and since we must keep a proportion, we must multiply 2 by 3 and get 6 as the answer.
. Any three points must be _____ coplanar. different sizes. coordinate. collinear.
Answer:
Coplanar
Step-by-step explanation:
A plane in space is given by any of the following:
Three non-collinear points (points not on a single line); a line and a point not on that line; two distinct but intersecting lines; and two parallel lines.
Since it can be defined by three points, any three points must be coplanar.
PROVE THE base angles of an isosceles triangle are congruent
One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor. If not, briefly explain why. (No picture involved with this)
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
does 2 by 7 = 11 by 37
11/2 = 5.5
7 x 5.5 = 38.5
No, these two figures are not scaled versions of each other. 11 is 5.5 times larger than 2 which means to be a scaled version we would multiply 7 by 5.5.
7 x 5.5 = 38.5
In order to be a scaled version the second recangle would need to be 11 by 38.5
The second rectangle is a scaled version of the first rectangle with a scale factor of 1/5.5.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
To determine if two figures are scaled versions of each other, we need to compare their corresponding side lengths.
The ratio of the corresponding side lengths is the same for both figures, then they have scaled versions of each other.
As per the question, the first rectangle has sides with lengths 2 and 7 units, while the second rectangle has sides with lengths 11 and 37 units.
So, the ratio of the corresponding side lengths is 2/11 = 7/37.
The scale factor is the ratio of the corresponding side lengths.
In this case, the scale factor is 2/11 = 1/5.5.
Therefore, the second rectangle is a scaled version of the first rectangle with a scale factor of 1/5.5.
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two less than the product of a number and three Evaluate when f = 4.5. Evaluating an Algebraic Expression Write and evaluate the expression shown on the left. Then, check all that apply. Write the expression as 2 – 3f. Write the expression as 3f – 2. Write the expression as 2f – 3. The value when f = 4.5 is 6.75. The value when f = 4.5 is 6. The value when f = 4.5 is 11.5.
Answer:
Write the expression as 3f – 2.
The value when f = 4.5 is 11.5.
Step-by-step explanation:
Let f be the number.
Then the product of the number and three is 3f.
Two less than 3f is 3f -2.
=====
f(4.5) = 3×4.5 - 2
f(4.5) = 13.5 - 2
f(4.5) = 11.5
Answer:
Write the expression as 3f – 2.
The value when f = 4.5 is 11.5.
first and last
B and F
Step-by-step explanation:
What is the value of X?
Answer:
w = 31
Step-by-step explanation:
To find the value of w:
We know that the three angles in a triangle add to 180 degrees
w + w + (4w-6) =180
Add like terms
6w-6 = 180
Add 6 to each side
6w -6+6 =180+6
6w = 186
Divide each side by 6
6w/6 = 186/6
w = 31
G.O. HAS 3 ORANGE PICKS FOR EVERY 2 GREEN. IF THERE ARE 25 PICKS IN ALL, HOW MANY PICK ARE ORANGE?
Answer:
There are 15 orange picks when we have 25 picks total
Step-by-step explanation:
orange: green : total
3 2 5
We found the total by adding the orange and the green
We have 25 total picks
25/5 = 5
We need to multiply by 5 on everything to get to 25 picks
orange: green : total
3 *5 2*5 5*5
15 10 25
There are 15 orange picks when we have 25 picks total
Answer: There are 15 orange picks
Step-by-step explanation:
First we know that the ratio for Orange to Green is 3:2 so that for each five picks 3 of them are orange and 2 of them are green 25/5 is 5 so that means there are 5 five picks and as established every five picks is 3 orange picks we can say 3*5=15
Complex root of x^2+3x+9=0
[tex]\text{Quadratic formula}[/tex]
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}[/tex]
-----------------------------------------------------------------------
[tex]x^2+3x+9=0\\\\a=1;\ b=3;\ c=9\\\\\Delta=3^2-4(1)(9)=9-36=-27\\\\\sqrt\Delta=\sqrt{-27}=\sqrt{(27)(-1)}=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}i=\sqrt9\cdot\sqrt3i=3\sqrt3i[/tex]
[tex]x_1=\dfrac{-3-3\sqrt3i}{2(1)}=-\dfrac{3}{2}-\dfrac{3\sqrt3}{2}i\\\\x_2=\dfrac{-3+3\sqrt3i}{2(1)}=-\dfrac{3}{2}+\dfrac{3\sqrt3}{2}i[/tex]
[tex]i=\sqrt{-1}[/tex]
Is the ordered pair a solution to the system of linear equations? Select Yes or No. Ordered pair: (7, 6) System of equations: -2x+y=20 6x-5y=12
Put x = 7 and y = 6 to the equations:
-2x + y = 20
L = -2(7) + 6 = -14 + 6 = -7
R = 20
L ≠ R
Answer: NO.Find the 65th term of the arithmetic sequence -30, -41, -52, ...
In an arithmetic sequence, the difference between one term and the next is constant.
The 65th term of the arithmetic sequence is -734
Given the following arithmetic sequence:
-30, -41, -52 The standard formula for the nth term of an arithmetic sequence is given as
a(n) = a + (n - 1)d
Where a = first term
n = number of term
d = common difference
Let find the common difference
Common difference = second term - first termCommon difference
= -41 - (-30)
Common difference = -41 + 30
Common difference = -11
Common difference = -52 - (-41)
Common difference = -52 + 41
Common difference = -11
Hence, the common difference
= -11
let:
a = -30n
= 65d = -11a(65)
= -30 + (65 - 1) * -11a(65)
= -30 + (64)*-11a(65)
= -30 + (-704)a(65)
= -30 - 704a(65)
= -734
Hence, the 65th term of the arithmetic sequence is -734
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What is the distance between -4 and 6 on a number line
Answer:
10 you just add them and or count down
The distance between the two variable in the number line is = 10
What is a number line?A number line is a horizontal line that includes both negative and positive numbers with equally spread increments. The middle of the line is usually zero which marks the starting point of other numbers.
The distance between two numbers in a number line is the sum of their absolute value;
[-4] + [6] = 4 +6 = 10
Therefore, the distance between the two variable in the number line is =10
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Simplify 2.5(-1.4 + 5.2) divided by 4(-1.25)
A.) -3.3
B.) -1.9
C.) 1.9
D.) 3.3
Answer:
B.) -1.9
Step-by-step explanation:
1. Distribute 2.5(-1.4 + 5.2) to get -3.5 + 12
2. Distribute 4(-1.25) to get -5
3. -3.5 + 13 is 9.5
4. 9.5 / -5 is -1.9