Answer:
The minimum number of adult tickets required to be sold = 54
Step-by-step explanation:
Hello,
In this question, we have several variables which might confuse us here, so I'll have to break it down bit by bit.
The drama club must make a sale of $560 so as to cover cost for the event.
The seat capacity of the hall = 84
Cost of tickets for adult = $8
Cost of tickets for students = $4.50
Total number of students sold = 29
Let the number of adult ticket required = x.
(4.50 × 29) + (8 × x) = 560
130.5 + 8x = 560
8x = 560 - 130.5
8x = 429.5
Divide both sides by 8
X = 429.5 / 8
X = 53.6 approximately 54.
Minimum required number of adult tickets to be sold is 54.
(29 × 4.50) + (54 × 8) = $130.5 + $432 = $562.5
Answer:
{54,55}
Step-by-step explanation:
just had that problem and showed me the answer
which of the following rational functions is graphed below?
Answer:
C
Step-by-step explanation:
Vertical asymptotes= -2,1
Given that f(x) =19x2 +152 solve the equation f(x) =0
Answer:
152
Step-by-step explanation:
f(x) =19x2 +152
f(0) = 190(0)^2 + 152
= 152
The first two steps for simplifying 180 are shown below.
Complete the last step by simplifying the expression. What
is 180 simplified?
Step 1: 180 = 5.3.3.2.2
06
Step 2: 75.3 - 3:2.2 = V5 -32.22
O 65
0 30
30/5
Save and Exit
Next
Submit
Answer:
B
Step-by-step explanation:
PLZ HELP WILL GIVE BRANLYIST! Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same? because both result in the equation 8 x = 400, which simplifies to x = 5 because both result in the equation 8 x = 400, which simplifies to x = 50 because both result in the equation 40 x = 80, which simplifies to x = 2 because both result in the equation 40 x = 80, which simplifies to x = 20
Answer:
Because both result in the equation 8x = 400 which simplifies to 50.
Step-by-step explanation:
If you cross multiply both of the pairs, you will get 8x = 400.
divide 400 by 8 to simplify and you get 50
Answer:
It would be B.
Step-by-step explanation:
The ratio of the measures of the angles of a triangle is 4:6:8. Find the measure of the largest angle.
Largest angle?
Answer:
80°
Step-by-step explanation:
The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:
4x + 6x + 8x = 180
18x = 180
x = 10 which means the largest angle (8x) = 8 * 10 = 80°
Find the rate of change for the function
A)90
B)60
C)30
D)3
Answer:
It is C for sure
Step-by-step explanation:
Draw an ordered stem and leaf diagram to show this information.
3, 8, 12, 12, 14, 20, 21, 23, 26, 34
Im not really sure how to explain it but the number at the top of the ‘stem’ side has to be the smallest number and the bottom one is the biggest.
You then have to write out the numbers in the ‘leaf’ side by only putting one digit numbers in order from smallest to biggest.
select all the equations where y = 10 is a solution
y + 11 = 22
8 = 18 - y
60 = 6y
y/5 = 4
10y = 20
Answer:
2 and 3 is the correct one
Which graph represents the solution set for the quadratic inequality x^2+2x+1>0?
Answer:
x > -1 (Answer D)
Step-by-step explanation:
Note that x^2 + 2x + 1 > 0 is equivalent to (x + 1)^2 > 0. This has two solutions: {-1, -1} (two real, equal roots). The solution set includes all real numbers such that x > -1 (Answer D)
Multiply.
(4x+2)(3x+3)
The right answer is 12x^2+18x+6
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] \boxed{12 {x}^{2} + 18x + 6} [/tex]
Step-by-step explanation:
[tex] = > (4x + 2)(3x + 3) \\ \\ = > 4x(3x + 3) + 2(3x + 3) \\ \\ = > (4x \times 3x) + (4x \times 3) + (2 \times 3x) + (2 \times 3) \\ \\ = > 12 {x}^{2} + 12x + 6x + 6 \\ \\ = > 12 {x}^{2} + 18x + 6[/tex]
Lucy graphed the equation x+9y=5 and 4x+15y=-1 and saw that they intersected at the point (-4,1) as shown. What can Lucy conclude? A. (-4,1) is a solution to the system of linear equations. B.(-1,4) is a solution to the system of linear equations. C. (1,-4) is a solution to the system of linear equations. D. (4,-1) is a solution to the system of linear equations.
Answer:
Option A.
Step-by-step explanation:
If a system of equations has two equations and the graph of both equations intersect at point, then the intersection point is the solution of the system of equations.
The given equations are
[tex]x+9y=5[/tex]
[tex]4x+15y=-1[/tex]
It is given that the graph of both lines intersect each other at point (-4,1).
It means, (-4,1) is a solution to the system of linear equations.
Therefore, the correct option is A.
Answer:
a
Step-by-step explanation:
What is the following sum?
4sqrt5+2sqrt5
Answer:
[tex]4\sqrt{5} +2\sqrt{5}\\= 6\sqrt{5}[/tex]
Step-by-step explanation:
Answer: The following above is correct
Step-by-step explanation: C
Idk how to solve triangular prisms
Answer:
The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the left) times the height,h.
Step-by-step explanation:
hope that make sense, i tried to find something that explained
Step-by-step explanation:
Surface area is found by adding up all the areas of the different figures. When there are multiple figures of the same dimensions, you can just multiply them by the number of their amount.
The areas you'll be using for the triangular prism are:
[tex]a = \frac{1}{2} bh[/tex]
and
[tex]a = lw[/tex]
since there are both rectangles and triangles in this figure.
Using the prism, then, it's time to make a formula.
[tex]2( \frac{1}{2} bh) + 2(lw) + lw[/tex]
I put a 2 in front of the triangle's area because there are 2 triangles in this prism.
There's a 2 in front of the side of the triangle's area (it's a rectangle) because it has two sides.
That last lw doesn't have a number on it because it's for the base, and this prism only has one base.
Now, use the dimensions that are given to you to substitute.
[tex]2( \frac{1}{2} )(14)(24) + 2(10)(25) + (10)(14) \\ 336 + 500 + 140 \\ 836 + 140 \\ 976[/tex]
So, 976cm^2 is your area.
Answer:
[tex]976 {cm}^{2} [/tex]
Do this for me please x
You are making pies for your class. The recipe calls for 2/3 cups of sugar for every 2 pies. You realize that you want to make 5 pies for your class to make sure everybody gets a piece. How many cups of sugar will you need for all 5 pies? Input your answer as a whole number or improper fraction.
Answer:
5/3
Step-by-step explanation:
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
Answer:
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
PLS HELP ASAP LIKEEE
Answer:
103.5
Step-by-step explanation:
Answer:
103.5
Step-by-step explanation:
3(9.99) + 5(1.29).
plz Answer
show work
Answer:
36.47
Step-by-step explanation:
3x9.99=29.97
5x1.29=6.45
29.97+6.45=36.47
Answer:
36,42
Step-by-step explanation:
3 x 9,99 = 29,97
5 x 1,29 = 6, 45
29,95 + 6,45 = 36,42
given the following, find the values of all six trig functions of x.
1. sin((π/2)-x)=-1/2, csc(x)>0
2. sec((π/2)-x)=3, cos(x)<0
What is csc in the first one?
What is the sum of the interior angles of the polygon shown below?
Answer:
Step-by-step explanation:
Find the value of x in the quadrilateral below.
Answer:
x=66
Step-by-step explanation:
118+106+70+x=360 The total sum of degrees in a quadrilateral is 360.
294+x=360 Add the given angle measures together.
x=66 Subtract 294 from both sides.
PLEASE HELP ME, I REALLY NEED HELP!!
Carrie Mae is designing a brace for a large rectangular painting. The painting measures 60 inches by 35 inches. What is the measure of the diagonal brace? Round your answer to the nearest tenth of an inch. Using details, explain how you got your answer. *
Answer:
69.5 = c
Step-by-step explanation:
35 ^2 + 60 ^2 = c^2
1225 + 3600 = c ^2
[tex]\sqrt{4825}[/tex] = [tex]\sqrt{c^{2} }[/tex]
69.5 = c
Mia made 4 1/2 pounds of trail mix. If she puts 3/4 of a pound into each bag, how many bags can Mia fill?
Answer:
3/4x = 4 2/4
Step-by-step explanation:
x=6 so you can fill 6 bags
helppp lol
which system of linear equations is represented by the graph?
Answer:
y ≥ x - 2, and x + 2y < 4 ; Option C
Step-by-step explanation:
Consider the y - intercept and slope of 1 of these given lines,
[tex]y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1[/tex]
From this we can formulate the equation of 1 line;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2[/tex]
Now consider the y - intercept and slope of the remaining line;
[tex]y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }[/tex]
This creates a line with the equation as such;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4[/tex]
From this we see that the solution of the system is such;
Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Answer:
f(t)=67,000(.70)t
Step-by-step explanation:
correct answer on my test
Answer:
f(t) = 67,000(.70)t
Step-by-step explanation:
took the test and got it right
hope this helps
Write a compound inequality for the graph shown below.
Use x for your variable.
Answer:
-3 < x ≤ 4
Step-by-step explanation:
x is between -3 and 4, but -3 is not included in the solution set:
-3 < x ≤ 4
Write the linear equation in the slope-intercept form when m=1 and b=-12
Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 1 and b = - 12 , thus
y = x - 12 ← equation of line
What percent of 75 is 18.75
Answer:
25%
Step-by-step explanation:
X=(18.75*100)/75
Express 5.43 x 10-4 in standard notation.
Answer:
0.000543
Step-by-step explanation:
since the exponent is -4, you have to move the decimal 4 places to the right to get 0.000543
Which is an equation of the line with a slope of 2 that passes through (3,−5)?
A. y+5=2(x−3)
B. y−5=2(x+3)
C. y−5=3(x−2)
D. y+5=3(x−2)
Answer:
equation of a line= y-y¹=m(x-x¹)
y--5=2(x-3)
y+5=2x-6
y=2x-6+5
y=2x-1