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Final answer:

To solve for the number of adult and student tickets sold, the system of equations was created from the given information and solved using the elimination method. The movie theater sold 50 adult tickets and 190 student tickets.

Explanation:

We have two equations based on the information provided about adult and student tickets sold at Family Flicks:

Let's use elimination to solve this system of equations. To do this, we must eliminate one variable. We can multiply the second equation by -4.5 to align the student ticket coefficient with the first equation:

We then add this equation to the first equation:

Now that we know there are 50 adult tickets sold, we can find the number of student tickets sold by substituting A into the second original equation:

The theater sold 50 adult tickets and 190 student tickets.

The equation for the temperature D as a function of time t in hours is given by D = 50 + 14 sin[2π/24 (t - 16)]. This equation uses a sinusoidal function to describe the fluctuation of temperature around the average of 50 degrees with an amplitude of 14 degrees.

To model the temperature D at a given time, we use a sinusoidal function based on the high and average temperatures. We know the high temperature of 64 degrees occurs at 4 PM (which is 16 hours after midnight), and the average temperature for the day is 50 degrees. This means the amplitude of the function (or the variation above and below the average) is 14 degrees (which is 64-50).

The sinusoidal function can, therefore, be written as follows: D = 50 + 14 sin[2π/24 (t - 16)]. This function describes how, starting from the average temperature of 50 degrees, the temperature fluctuates by 14 degrees in a sinusoidal manner.

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Answer:

9:6 or 3:2

Step-by-step explanation:

Answer:

9:15 or 3:5

Step-by-step explanation:

There are 9 sedimentary rocks, and there are 15 total rocks. So the ratio would be 9:15 OR you could say 3:5 in simplest form.

Hope this helped! :)

Answer:

1)

b= -7

m=1

2)

b= 4

m=0

3)

b=3

m=-2

Step-by-step explanation:

Answer:

1 . m=1  b =7

2.m=0   b = 4

3. m= -2 b = 3

your welcome mark branliest if possible thanks

Answer:

Angle x=19°

Angle Y=53°

I might be wrong though.

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.

There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.

Angle X=90-71=19

Angle Y=180-37-71-19=53.

Answer:

Answer for this question would be: A, 3.67

Answer:

A. 3.67

Step-by-step explanation:

1. Add the two vectors (2.5,1.8)+(-6,-.7)=(-3.5,1.1)

2. Find the magnitude using square root of a^2+b^2

sqrt(-3.5)^2+(1.1^2)=sqrt(12.25+1.21)=sqrt(13)=3.67

Answer:

Step-by-step explanation:

In order to find the rate of change in altitude per minute, divide 2250 by 15 , which equals 150 feet per minute.

Answer:

150 per minute

Step-by-step explanation:

Divide 2250 by 15 to find the rate per minute

Answer:

12.56

Step-by-step explanation:

Answer:

SA= 902.88 yd²

V = 1386.24 yd³

Step-by-step explanation:

Surface area

Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.

19² = 15.2² + b²

361 = 231.04 + b²

Subtract 231.04 from both sides

b² = 129.96

Root that

b = 11.4

Now that you have the base, find the areas of the triangles and rectangles.

Triangles - (15.2*11.4)1/2 (2)

15.2*11.4 = 173.28

Rectangles - (15.2)(16) = 243.2

(16)(11.4) = 182.4

(16)(19) = 304

Add them all together and the SA equals 902.88 yd²

Volume

V = Bh

V = 1/2(15.2)(11.4)(16)

V = 1/2 (2772.48)

V = 1386.24 yd³

Answer:

two solutions : (0,-3)  , (3,0)

Step-by-step explanation:

hello :

y= x² -2x -3 ...(*)

y= x -3....(**)

x²-2x-3 = x -3

x²-3x=0

x(x-3) = 0

x=0 or x-3=0

x=0 or x=3

but : y=x-3

1) x=0   y=0-3=-3

2) x=3   y=3-3=0

two solutions : (0,-3)  , (3,0)

-2 2/3 as an improper fraction would be -8/3

Hope this helps :)

Answer:

-8/3

Step-by-step explanation:

-2 2/3

Leave the negative outside

Take the denominator and multiply it by the whole number

3*2 =6

Then add the numerator

6+2 =8

Put that over the denominator

8/3

Bring back the negative that was on the outside

-8/3

Answer:

c

Step-by-step explanation:

The formula of volume for a triangle is V = 0.5 X b X a X h.

Answer:

Step-by-step explanation:

Answer:

[tex]x = -9, x = -6[/tex]

Step-by-step explanation:

Step 1:  Find the zeroes

(x + 9)

[tex]x + 9 - 9 = 0 - 9[/tex]

[tex]x = -9[/tex]

(x + 6)

[tex]x + 6 - 6 = 0 - 6[/tex]

[tex]x = -6[/tex]

Answer:  [tex]x = -9, x = -6[/tex]

Answer:

200°

Step-by-step explanation:

The angle subtended at the centre is equal to the measure of the intercepted arc, thus

arc MQ = 85° + 75° = 160°

The measure of the circle is 360°, thus

arc QRM = 360° - 160° = 200°

Answer:

3600 miles

Step-by-step explanation:

75mi/15 seconds is our proportion

there are 60 seconds in 1 minute. 60/15 = 4

there are 12 minutes. 12X 4 = 48

we need to multiply 75 mi by 48 to find our distance

75 X 48 = 3600

Correct Options are:

Option A: (Negative one-fourth) cubed

Option B: Negative (one-fourth) cubed

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

Option F: Negative (one-half) Superscript 6

Step-by-step explanation:

We need to check the expressions that have value [tex]-\frac{1}{64}[/tex]

Option A: (Negative one-fourth) cubed

[tex](-\frac{1}{4})^3[/tex]

Solving: [tex](-\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option A is correct.

Option B: Negative (one-fourth) cubed

[tex]-(\frac{1}{4})^3[/tex]

Solving: [tex]-(\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option B is correct

Option C: (Negative StartFraction 1 Over 8 EndFraction cubed

[tex](-\frac{1}{8})^3[/tex]

Solving: [tex](-\frac{1}{8})^3[/tex]

We get [tex]-\frac{1}{512}[/tex]

So, Option C is not correct.

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

[tex]-(\frac{1}{8})^2[/tex]

Solving: [tex]-(\frac{1}{8})^2[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option D is correct.

Option E: (Negative one-half) Superscript 6

[tex](-\frac{1}{2})^6[/tex]

Solving:[tex](-\frac{1}{2})^6[/tex]

We get: [tex]\frac{1}{64}[/tex]

So, Option E is not correct.

Option F: Negative (one-half) Superscript 6

[tex]-(\frac{1}{2})^6[/tex]

Solving:[tex]-(\frac{1}{2})^6[/tex]

We get: [tex]-\frac{1}{64}[/tex]

So, Option F is correct.

So, correct Options are: Option A, B, D and F

Answer:

The second equation converted to slope-intercept form is y = (-⅓)x - 1

Step-by-step explanation:

y = –2x + 4,

(In the slope intercept form)

3y + x = –3

(Not in the slope intercept form)

3y = -x - 3

y = (-⅓)x - 1

Answer:

Slope is 5/7

Step-by-step explanation:

the slope of a line is given by;

m = (y-y1)/(x-x2)

Where;

y represents the coordinate of point 1 on the Y-axis

x represents the coordinate of point 1 on the X-axis

y1 represents the coordinate of point 2 on the Y-axis

x1 represents the coordinate of point 2 on the X-axis

Points on a line are written as the ordered pair (x, y)

We are given point 1 (2, -2) and it corresponds to (x, y)

Point 2 (9, 3) and it corresponds to (x1, y1)

Therefore the slope,

m = (-2-3)/(2-9)

m = -5/-7

m = 5/7

Therefore, the slope of the line through (2,−2) and (9, 3) is 5/7

Answer:

The sets has more than 150 students

P∪A∪M

-(P∩A)

Step-by-step explanation:

See the attached figure which represents Venn diagram for the question:

180 take PE

80 take art

72 take music

33 take PE and art

28 take PE and music

20 take all three

M= all students taking music

A= all students taking art

P= all students taking PE

Number of students taking PE and art only = 33 - 20 = 13

Number of students taking PE and music only = 28 - 20 = 8

Number of students taking PE only = 180 - (20 + 13 + 8) = 139

Number of students taking ARt only = 80 - (20 + 13) = 47

Number of students taking Music only = 72 - (20 + 8) = 44

Number of students doesn't take any thing =

300 - (20 + 13 + 8 + 139 + 47 + 44) = 29

We will check the options to find the sets has more than 150 students:

1)  A∪M = 13 + 47 + 20 + 8 + 44 = 132 < 150

2) P∩M = 20 + 8 = 28 < 150

3) P∩A∩M = 20 < 150

4) P∪A∪M = 20 + 13 + 8 + 139 + 47 + 44 = 271 > 150

5) -(P∩A) = 300 - (13+20) = 267 > 150

So, The sets has more than 150 students

P∪A∪M

-(P∩A)

Answer:

No

Step-by-step explanation:

the salesman's claim is false because the new machine only makes 20 items an hour and the old one makes 25. So in 8 hours the new machine will only make 160 items and the old one will make 200

This question deals with calculating probabilities of selecting specific colors of pencils from a jar without replacement. First, find the probability of each of the events separately, and then find their joint probability if events are happening successively by multiplying the individual probabilities.

The subject of this question is probability, and it belongs to the field of Mathematics. You're asked to calculate the probability of selecting certain colors of pencils from a jar. The jar contains 4 red, 6 green, and 5 yellow pencils, making a total of 15 pencils. When a pencil is selected, it is not replaced back in the jar, affecting the probabilities of the following selections.

As an example, the probability of drawing a red pencil first (P(red)) would be the total number of red pencils divided by the total number of pencils which equals 4/15. If you then wanted to select a green pencil, the total number of pencils is now 14 (broader outcome space) as a pencil has been removed and not replaced. So, the probability of drawing a green pencil after a red one (P(green|red)) would be 6/14.

To find the probability of both events happening consecutively (drawing a red pencil then a green one), you would multiply the two probabilities together i.e., P(red and green) = P(red) · P(green|red). Applying the same steps to other combinations and you will be able to calculate all the different probabilities.

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Answer:

5 for each team, 2 left over

Answer:

x = 77.5

Step-by-step explanation:

Assuming that you meant:

0.4x+18 = -13

Subtract 18 on both sides:

0.4x = -31

Multiple by 5/2 on both sides

x = 77.5

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Answer:

b^-2  or 1/b^2

Step-by-step explanation:

b^0

--------

b^2

We know when we divide powers of the same base, we subtract

b^(0-2)

b^-2

If we are not allowed negative exponents then

1/b^2

Answer:

6.3 feet

Step-by-step explanation:

diameter is 2ft.

so the "r" radius is half of diameter. i.e 1 ft.

therefore, circumference of wheel =2  x pi x r

2 x 3.14 x 1 = 6.3

Answer:

the circumference of a circle = 6.26 feet

Step-by-step explanation:

to evaluate how far the  bike will go in one rotation simply means to find the circumference of the wheel

given that

diameter = 2feet

π = 3.14

recall, that

the formulae for calculating the circumference of a circle = 2πr

note diameter = 2 x radius

radius = diameter / 2

radius = 2/2

radius = 1feet

the circumference of a circle = 2πr

the circumference of a circle = 2 x 3.14 x 1

the circumference of a circle = 6.26 feet

Answer:

808.38

Step-by-step explanation:

:)