The adults that attended the showing is 29.
The children that attended the showing is 16
What are the linear equations that represent the question?
$4.50a + $2c = $162.50 equation 1
a + c = 45 equation 2
Where:
a = number of adults tickets sold c = number of children's tickets soldHow many tickets for children and adults were sold?Multiply equation 2 by 2
2a + 2b = 90 equation 3
2.50a = 72.50 equation 3
a = 29
45 - 29 = 16
Subtract equation 3 from equation 1
Here is the complete question:
Tickets to Gone With the Wind, at the Classic Movie House, cost $4.50 for adults and $2 for children. If people attended the Saturday matinee showing and the Classic Movie House sold $162.50 worth of tickets: a.) How many adults attended the showing? b.) How many children attended the showing?
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What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?
a = 2, b = 4, c = 3
a = 2, b = 4, c = –3
a = –2, b = 4, c = 3
a = –2, b = 4, c = – 3
Answer:
a = –2, b = 4, c = – 3
Step-by-step explanation:
We are given the following quadratic equation in the question:
-2x^2 + 4x - 3 = 0−2x
2
+4x−3=0
General form of quadratic equation:
ax^2 + bx + c = 0ax
2
+bx+c=0
Comparing the given equation to general quadratic equation, we get,
a = -2, b = 4, c = -3a=−2,b=4,c=−3
Thus, the correct answer is
Option D) a = –2, b = 4, c = – 3
The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.
The standard equation of a quadratic equation is ax²+bx+c = 0,
Comparing the given equation with the standard equation,
We get, a = -2, b = 4, c = -3
Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
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Look at the photo for my question
Answer:
The correct answer is option C.
Step-by-step explanation:
To find a substitute for the variable y in the second equation, you need to first find out what y is equivalent to in the first equation: in other words, isolate the variable. [tex]2y-x=6[/tex] ⇒ [tex]2y = x + 6[/tex] ⇒ [tex]y = 0.5x + 3[/tex]. Since y is equivalent to [tex]0.5x+3[/tex] in the first equation, that means you can use that to replace y in the second equation, so the correct choice is C.
Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping mall will decrease by 3% each hour. Find the total number of people entering the shopping mall at the end of 4 hours. (Round your answer to the nearest whole number if necessary.)
Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that [tex]A(0) = 109[/tex]
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that [tex]r = 0.03[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 109(1-0.03)^t[/tex]
[tex]A(t) = 109(0.97)^t[/tex]
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
[tex]A(4) = 109(0.97)^4 = 96.49[/tex]
Rounding to the nearest whole number, 96 people.
What is the the volume of the rectangular prism?
PLEASE HELP FAST! 15 POINTS!!
Answer:
540 in³
Step-by-step explanation:
v = lwh
v = 18 * 10 * 3
c = 540 in³
Answer:
v= length x width x height so 10x18x3= 540in cubed
Step-by-step explanation:
Paul is filling the rectangular prism shown with cubes that measure 14 inch along each edge.
Answer:
Step-by-step explanation:
2x-y=-5 x+y=8 elimination
what 2 number multiply to be -12 and add to be -1
Solve the equation for x, and enter your answer in the box below.
7x= -70
Quickly Need help ASAP
Answer:
It's (B), using L'Hopital's Rule.
What’s the area of the figure below?
Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
9514 1404 393
Answer:
482.5 square inches
Step-by-step explanation:
The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.
A = LW - 1/2bh
= (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²
The area of the figure is 482.5 square inches.
for a sample size of 90 and a sample proportion of 0.5, what is the standard error? round your answer to three decimal places.
A. 0.053
B. 0.039
C. 0.064
D. 0.045
What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
Answer:
y = (5/4)x+1
Step-by-step explanation:
[tex]\frac{y+4}{x+4} =\frac{-4-6}{-4-4}[/tex]
[tex]\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1[/tex]
Quick. What is the product of the LCM and the GCD of 6 and 9? ANSWER FAST
Find the coordinates of the image after a translation of the figure below using (x,y) → (x+3, y + 2).
YA
10
9
8
7
16
5
4
3
B
1
-10-9-8-7 -6 -5 4 3
1
2
3
45
6 7
89
10
3
А
4
D
-5
-8
19
-10
Al
B'(
C'(
Answer:
A(-3,-4)
B(-1,1)
C(3,5)
D(2,-5)
Step-by-step explanation:
if you have any questions about it dont hesitate to ask me
Find the measure of angle BAC. (The figure is not drawn to scale.)
A. 22
B. 34
C. 68
D. 136
If angle BOC in circle is 68° then the measure of angle BAC is 34°.
Given that angle BOC in the circle is 68°.
We have to find the angle BAC.
We have that m∠BOC=arc BC ------by central angle.
we have m∠BOC=68°.
therefore arc BC=68°.
We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1
In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.
We have that arc BC=68°
substitute arc BC in equation 1 to get the measurement of ∠BAC.
m∠BAC=[tex]68/2[/tex]
=34°
Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.
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Write an expression to show the sum of g and h reduced by 11.
Answer:
Required expression = (g+h) - 11
you draw two marbles without replacement from a bag containing four green marbles and five black marbles the number of possible outcomes in the sample spaces
Need help ASAP ELO help help help help help
I need a answer solved, WITH the explanation done well.
The question is:
What percentage of students chose hockey or softball?
Answer:
16%+26%= 42%
Answer: 32% is the answer
Step-by-step explanation: since the question says What percentage of students chose hockey or softball? add the presentage of hockey and softball and you will get 32% hope it helps
Approximately how many square inches of space are blank?
Answer:
blank area = 1.5π units²
Step-by-step explanation:
area of full circle = πr² = π6² = 36π units²
blank area = (15/360)(36π) = 1.5π units²
The area blank in a circular mosaic pattern is 4.71 square units.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The diagram shows the circle with a central angle cutout.
The central angle, θ = 15°
Radius of the circle, r = 6 units
The formula of area blank in circle is
[tex]Area_{blank} = \frac{\theta}{360}\pi r^{2}[/tex]
⇒ [tex]Area_{blank} = \frac{15}{360}(3.14) (6)^{2}[/tex] [∵ π = 3.14 ]
⇒ [tex]Area_{blank} = 0.0416(3.14) (36)[/tex]
⇒ [tex]Area_{blank} = 4.71[/tex]
Hence we can conclude that the area blank in a circular mosaic pattern is 4.71 square units.
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I would like help thanks!
Answer:
B
Step-by-step explanation:
if you connect and extend to points it forms a line with a y-intercept of 2 when x is zero
y = mx + b m the slope equals 1
y = x +2
A jar contains 4 marbles marked with the numbers 1 through 4. You pick a marble at random. What is the
probability of not picking the marble marked with the number 3? Enter your answer as a simplified
fraction.
The probability of not picking the marble marked with the number 3 is
Answer:
p =favorable outcome/possible outcome
p(not 3)=3/4
Write the quadratic equation that is represented by the graph.
Step-by-step explanation:
Note that this graph has roots at x = 1 and x = 5. Its maximum occurs at (3, 4) and it opens downward. So writing the vertex form of this graph, we get
[tex]y = - (x - 1)(x - 5)[/tex]
Then expanding this, the equation becomes
[tex]y = - {x}^{2} + 6x - 5[/tex]
As a check, note that the y-intercept is at (0, -5) so if we use x = 0 in the equation above, we see that y = -5. Similarly, if we use x = 3, the value of y is y = 4, as expected.
What does x have to equal to make the statement true (solve for x)
a. 2x =10
b. -3x = 21
c. 1/3(x) = 6
d. -1/2(x) = -7
Answer:
See below
Step-by-step explanation:
2x = 10
Divide by 2.
x = 5
x has to equal 5 to make the first statement true.
Proof:
2x = 10
2(5) = 10
10 = 10
-3x = 21
Divide by -3.
x = -7
x has to equal -7 to make the second statement true.
Proof:
-3x = 21
-3(-7) = 21
21 = 21
1/3(x) = 6
Multiply by 3 to cancel the fraction.
x = 18
x has to equal 18 to make the third statement true.
Proof:
1/3(x) = 6
1/3(18) = 6
6 = 6
-1/2(x) = -7
Multiply by -2 to cancel the fraction.
x = 14
x has to equal 14 to make the fourth statement true.
Proof:
-1/2(x) = -7
-1/2(14) = -7
-7 = -7
Belinda builds a rectangular prism that is 2 cubes long, 3 cubes wide, and 2 cubes tall. Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism. What is the volume of April's prism? Use an equation to show your work.
Answer:
96 cubes vol.
Step-by-step explanation:
the volume of Belinda's prism =
2×3×2 = 12 cubes vol.
Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.
the volume of April's prism =
(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.
so,
the volume of April's prism = (2)³ times the volume of Belinda's prism
Please help and I will give brainliest if u do.
Answer:
See explanation below
Step-by-step explanation:
The width is 4 inches
So, the area of the base is 20 inches squared
The height is 4 inches
So, the volume of the prism is 80 inches cubed
Answer:
is this like BxH or is there a specific equation
Step-by-step explanation:
write the equation of the circle in general form. show your work.
SOS
Answer:
The equation of the circle is
[tex](x - h) {}^{2} + (y - k) = {r}^{2} [/tex]
where (h,k) is the center and r is the radius.
The center is (-1,1) so plug that in the equation.
[tex](x - ( - 1)) {}^{2} + (y - 1) {}^{2} = {r}^{2} [/tex]
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = {r}^{2} [/tex]
The radius of the circle is 3 so plug that in for r.
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = {3}^{2} [/tex]
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = 9[/tex]
List down three angles formed when a transversal intersects the two lines
Answer:
The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.
Which is the simplified form of the expression?
Answer:
[tex]\frac{1}{x^21y^12}[/tex]
Step-by-step explanation:
What is 3.4 million divided by 60
Answer:
[tex]56666\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:56,666.666
Step-by-step explanation:
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