The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤110−x; shade down
Inequality 2) y≥80− -2/3x; shade up
Possible solution: (40,60)
*The drama club could sell 40 student tickets and 60 adult tickets.
Step-by-step explanation:
Hope I helped ;)
Solution is image 1.
One possible solution is = (0, 100).
Given that:
x represents the number of student tickets sold and
y represents the number of adult tickets sold.
According to the question:
[tex]x+y\le110\\7x+10.50y\ge840[/tex]
Using a graphing calculator the graph is: image 1.
One possible solution is = (0, 100).
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What is the slope of a line that passes through points (2, 4) and (8, 22)???????
Answer:
The slope is 1/3
Step-by-step explanation:
2-8/4-22
-6/-18
1/3
jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?
Answer:
She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = [tex]\sqrt{218}[/tex]
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answer:
I believe the slope is 2/3.
Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0
Choole a line m that passes through point, P, and is parallel to linel.
Answer:
c
Step-by-step explanation:
what is the slope of the line whose equation is y-4=5/2(x-2)
-5/2
-2/5
2/5
5/2
Answer:
The slope of the line would be 5/2
Step-by-step explanation:
Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2
Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________
Answer:
1. π, 4, 8
2. 5, π + 2, 173
3. -2, 1.7, 2
4. 2.5, 5, 32
5. 3.7, π + 1, 13
6. π - 2, 52, 54
Step-by-step explanation:
π = 3.1415
What is the transformation that needs to be done to map ABCDE to A'B'C'D'E'?
Answer:
the third one
Step-by-step explanation:
I need help please.
M a t h
Answer:
option 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here are the conditions.
The car must go at least 55 mph. That means that 55 is included. Use ≥
The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).
The answer uses ≥
The answer is s ≥ 55
Select the correct answer.
Find the value of g(7) for the function below.
g(x)= 7/8x-1/2
A. 49/8
B. 53/8
C. 60/7
D. 45/8
Answer:
D. 45/8
Step-by-step explanation:
The value of function g (7) is,
⇒ g(7) = 45/8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function is,
⇒ g(x) = 7/8x - 1/2
Now, Plug x = 7 in above equation,
⇒ g(x) = 7/8x - 1/2
⇒ g(7) = 7/8 (7) - 1/2
⇒ g(7) = 49/8 - 1/2
⇒ g(7) = 49/8 - 4/8
⇒ g(7) = 45/8
Thus, The value of function g (7) is,
⇒ g(7) = 45/8
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At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?
Answer:
y= 11+t.05. t= hours of snow
-------------------
y= 11 + 5 (.05)
y= 11 + 2.5
y= 13.5
Solve 7 - 2x = x - 14
Answer:
7 = x
Step-by-step explanation:
7 - 2x = x - 14
7 + 14 = x + 2x
21 = 3x
7 = x
Hope this helps!
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
Find the value of each variable.
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
Determine the measure of ∠Z. images attached
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z
To find the value of ∠Z we use tan
We have
[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]
We have the final answer as
48.24°Hope this helps you
Answer:
the answer is B)41.76
Step-by-step explanation: I took the test
What is the reflection?
Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
Do yall know what 4 1/2÷6 is?
Answer:0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
i like to turn them into improper fractions
4 and 1/2 is 9/2
6 is 6/1
to divide fractions, multiply by the reciprocal
6/1 flipped is 1/6
then multiply
9/2 x 1/6 = 9/12
simplify
3/4
Simplify the expression.
−(−x)3 − x3
A. −4x3
B. −2x3
C. 2x3
D. 0
Answer:
D. 0
Step-by-step explanation:
Answer:
d. 0
Step-by-step explanation:
−(−x)3 − x3
(remove parentheses)
x * 3 -x *3
(eliminated opposites)
0
(your answer)
Which is a solution of 2(t-1)+3t<2?
t < 0.8
t ∈ ( - oo ; 0.8 )
Step-by-step explanation:Hi there !
2(t - 1) + 3t < 2
2t - 2 + 3t < 2
5t < 2 + 2
5t < 4
t < 4/5
t < 0.8
t ∈ ( - oo ; 0.8 )
Good luck !
The data represented by the following stem-and-leaf plot range from
to
2189
3 504
4 127
5 36
A. 29; 53
B. 28; 56
C. 28; 53
D. 29, 56
SUBMIT
Answer:
28;56
Step-by-step explanation:
According to the stem-and-leaf plot, the range of the data represented by the stem-and-leaf plot is 63.
To determine the range of the data represented in stem and leaf plot, we need to look at the smallest and largest values. The smallest value is obtained by taking the smallest leaf in the plot, which is 36, and adding it to its corresponding stem (5). So, the smallest value in the data set is 536.
Next, we look for the largest value, which is found at the bottom of the last stem. In this case, the last stem is 5, and the largest leaf is 9. Therefore, the largest value in the data set is 599.
Now that we have the smallest and largest values, we can calculate the range by subtracting the smallest value from the largest value:
Range = Largest Value - Smallest Value
Range = 599 - 536
Range = 63
So, the answer is Answer: C. 28; 53
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Which illustration shows the correct construction of an angle bisector?
Option (3) will be the correct construction of the angle bisector.
Steps to construct an angle bisector are as followed,
Step - 1
Put the compass at the vertex of the angle.
Step - 2
Draw an arc cutting both the arcs at two distinct points.
Step - 3
Draw two arcs from these points intersecting at a point.
Step - 4
Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.
Therefore, Option (3) will be the correct option.
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if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.
I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Step-by-step explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:
[tex]m\angle 2 + m\angle 3=90^\circ[/tex]
We are also given that:
[tex]m\angle 2=2n-4[/tex]
[tex]m\angle 3=n+1[/tex]
Substituting (get rid of the units):
[tex]2n-4+n+1=90[/tex]
Joining like terms:
[tex]3n-3=90[/tex]
Adding 3:
[tex]3n=90+3=93[/tex]
Solving:
[tex]n=93/3[/tex]
n=31°
Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down
Answer:
it moves down
Step-by-step explanation:
for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.
NOTE: if the graph added to 6 it will move up 6 units.
How is -9 + (-4) the same as -9 + 4?
-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.
Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?
find the sum of the series 9+3+1+........+1/27
Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
If 7p + 89 = 4p - 2, what is the value of p
Answer:
p = -30.3
Step-by-step explanation:
Answer:
p= −91/3
Step-by-step explanation:
18-4y=42 help, please?
18-4y=42
4y = 18-42
4y=-24
y = - 6
Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8
9514 1404 393
Answer:
yesnoStep-by-step explanation:
1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.
4 : 20 = 1 : 5
6 : 30 = 1 : 5
__
2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.
9/18 = 1/2
3/8 = 3/8