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A wooden roller coaster at a theme park has a height restriction: passengers must be at least 45 inches tall.

A. Write an inequality to represent the height restriction.
B. Using complete sentences, describe how to graph your inequality on a number line.

Answer:

Adult price $5

Student price 8$

Step-by-step explanation:

Hello!

The school sells tickets for the choral performance with different prices depending on the ticket is for an adult or for a student of the school.

If X represents the price of an adult ticket and Y represent the price of a student ticket using the given information you can determine a set of two equations with two unknown values:

Day 1: 6 adult tickets and 11 student tickets for a total of $118

Symbolically: 6X + 11Y= $118

Day 2:  12 adult tickets and 12 student tickets for a total of $156

Symbolically: 12X + 12Y= $156

Step 1

From one of the formulas, clear one of the unknown values:

[tex]12X + 12Y= 156\\12Y= 156- 12X\\Y= \frac{156-12X}{12} \\Y= 13 - X[/tex]

Step 2

Replace the value obtained in step one in the second formula:

[tex]6X + 11Y= 118\\6X + 11(13 - X)= 118\\6X + (11*13) - 11X = 118\\6X -11X + 143= 118\\-5X= 118 - 143\\-5X= -25\\X= 5[/tex]

The ticket price for an adult is $5

Step 3

Using the value of X obtained in step 2, replace in the formula for Y to obtain the ticket price for students:

Y= 13 - X= 13 - 5= $8

I hope this helps!

Answer:

Step-by-step explanation:

2sin²β-7sinβ-4=0

2sin²β-8sin β+1 sin β-4=0

2 sin β(sin β-4)+1(sin β-4)=0

(sin β-4)(2sin β+1)=0

either sin β-4=0

sin β=4 (rejected,as |sin β|≤1)

or

2 sin β+1=0

sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)

β=7π/6,11π/6

Answer:

{x ≠ -3 ∪ x ± 4}

Step-by-step explanation:

The (x - 4) terms cancel, but x still may not = 4 (which would cause division by zero).  Also, (x + 3) may not be zero (for the same reason), and so x ≠ -3.

The domain of this function is {x ≠ -3 ∪ x ± 4}

Answer:

4) 64

Step-by-step explanation:

f = 128/2

f = 64

Answer:

4) 64°

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

m<F = (1/2)m(arc)BD

m<F = (1/2) * 128 deg

m<F = 64 deg

Answer: 25?

Step-by-step explanation:

Answer:

[tex]\huge \boxed{y\leq 0}[/tex]

Step-by-step explanation:

The range of a function are all possible values for y.

[tex]y = -|x|[/tex]

The domain is all real numbers. The value of x can be all real numbers.

The absolute value of a number will always be positive.

The negative sign gets distributed to the absolute value, the output or end result will always be a negative number or zero, the range is less than or equal to 0.

The range of the function is [tex]y\leq 0[/tex]

Answer:

5%

Step-by-step explanation:

104/99=1.05

Answer: 5%

Step-by-step explanation:

if you do the math of 99+5% you will get 103.95 and if you round that to the tenth you get 104.

Answer:

14.21 inches

Step-by-step explanation:

Given

1 inch = 14 feet

Required

Find the equivalent of 199 feet

Write out the given expression;

1 inch = 14 feet

Let x represent the equivalent of 199 feet in inches; Such that:

x = 199 feet

Write out both expressions

1 inch = 14 feet

x = 199 feet

Using cross multiplication; both expressions become

x * 14 feet = 199 feet * 1 inch

Divide both sides by 14 feet

[tex]\frac{x * 14 feet}{14 feet} = \frac{199 feet * 1 inch}{14 feet}[/tex]

[tex]\frac{x * 14}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]\frac{14x}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199inch}{14}[/tex]

[tex]x = 14.2142857143inch[/tex]

[tex]x = 14.21 inches[/tex] (Approximated)

Answer:

Step-by-step explanation:

None of these choices is correct.  

3y = 8 is an equation, not an expression.  It states that "y is 8 divided by 3," which again is an equation.

Answer:

3 times y divided by 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3×2x)+(-3×5)

-6x+-15

Answer:

30t

Step-by-step explanation:

2(15)t

30t

Answer: 30t

Step-by-step explanation:

The group earned 15t, or 15$ an hour for t hours.  Then it was doubled(15t * 2=30t)

Answer:

30%

Step-by-step explanation:

Answer:

Bob buys n number of cookies. He goes again and buys 15 more. After that he splits them among 5 friends.

Step-by-step explanation:

Answer:

Sandy buys a number of slices of pizzas from Pizza Hut. She then goes to Marco's Pizza and buys 15 more slices. Sandy goes to a party and splits the pizza slices evenly between 5 friends. How many slices of pizza did she buy from Pizza Hut?

Answer:

Step-by-step explanation:

angle acb=1/2angle aob=1/2(2x+28)------(anble subtended by an arc at centre is double the angle subtended by it at any other parts of the circle)

angle c+angle d=180....opp angles of a cyclic quad. are supplementry

hence,

x+14+3x-70=180

=>x=64

The value of x from the given figure is 59°.

Given that, points A, B and C are all the circle. O represents the center.

What is circle theorem to relate angle at circumference and central angle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, Reflection of ∠AOB= 360-(2x+28)

∠ADB=1/2 (Reflection of ∠AOB)

⇒ 3x-70=1/2 (360-(2x+28))

⇒ 3x-70=1/2 (360-2x-28)

⇒ 3x-70=180-x-14

⇒ 3x-70=166-x

⇒ 3x+x=236

⇒ 4x=236

⇒ x=59

Therefore, the value of x from the given figure is 59°.

To learn more about the circle visit:

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Answer:

m angle 1= 45

m angle 2= 76

m angle 3= 80

Step-by-step explanation:

A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is

3.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.

Now, for the triangle using the Pythagoras theorem we can write,

AC² = AB² + BC²

AC² = 3² + 4²

AC² = 9 + 16

AC = √25

AC = 5

Hence, the length of AC in the given figure is 5 units.

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when a number is to a power then to another power, the answer is the number to the power TIMES the other power

it should be:

-h^20.

Answer:

y=-1/5+1

Step-by-step explanation:

Answer:

y = -1/5x + 1

Step-by-step explanation:

In these types of problems you want to guesstimate the slope and draw an imaginary solid line amongst the dots. The slope you'll end up with is -1/5 because the graph is decreasing.

and just to check, i typed this into my graphing calculator and can confirm this as the answer. :)

i cannot see the question for #33, but for

#34, im sure there are a bit more efficent ways to find surface area, but i just find the area of each square. area of top and bottom=240 square inches (120+120); area of shorter sides=60 square inches (30+30); area of longer sides= 72 square inches (36+36). add all of those together, so the total surface area is 372 square inches. So basically Charlene will need 372 square inches of wrapping paper

#35 the formula for volume is length*width*height. So do 60*45.5*14=38,220 cubic ft.

#36 first find the area of that triangle. (6*14)/2=42. Then find area of square which is 20*14=280. Add those (280+42) and get 322. So the area of the polygon is 322 square mm

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3)  = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4   ; y + 3 = -8

x = 4 +2  ; y = -8 - 3

x = 6      ; y = -11

B(6 , -11)

Hope it helps <3

(If it does, please give brainliest, only need one more for rank up :) )

Answer:

2. [tex]18\sqrt{5}[/tex]

3. [tex]52.303...[/tex]

4. [tex]11.608...[/tex]

Step-by-step explanation:

2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex]  is [tex]90\sqrt{2}[/tex].

3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]

4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].

Hope this helped! Just remember the Pythagorean Theorem.

Answer:

8 oz, $41

Step-by-step explanation:

For 4 oz, Chef Mate sells their's for $22 and Grocery Gourmet sells their's $25. Chef Mate sells his vanilla extract for $4.75/oz and Grocery Gourmet sells their's for $4/oz. At the 8th ounce, Chef Mate and Grocery Gourmet will charge the same amount, $41.

Chef Mate: $22 (price of 4 oz) + ($4.75 × 4) = $41

Gourmet Garden: $25 (price of 4 oz) + ($4 × 4) = $41

Answer:

25 bananas

Step-by-step explanation:

11 apples doubled is 22 then plus 3 in 25 this he brought 25 bananas

The number of bananas that Yash brought is 4 bananas.

It is given that Yash brought apples and bananas to a picnic. The number of apples was three more than twice the number of bananas.

We have to find out that how many bananas did he bring , if number of apple were 11.

What do you mean by linear equation in one variable ?

Linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are integers and x is a variable.

As per the question ;

Tach brought 11 apples to picnic.

Let's assume the number of bananas = x

Number of apple = 11 = 2x + 3

⇒ 11 = 2 x + 3

⇒ 2x = 8

⇒ x = 8 ÷ 2

⇒ x = 4

Thus , the number of bananas that Yash brought is 4 bananas.

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Answer:

C

Step-by-step explanation:

Angles on a straight line.

180 - 100

= 80

Angles in a triangle.

180 - 38 - 80

= 62

Answer:

5.10 and 0.3

Step-by-step explanation:

510% in decimal form is 5.10 if u move the decimal to the left twice

3/10% is 30% which in decimal from is .3 if u move the decimal over to the left twice

hope this helps

Answer:

1024pi cm²

Step-by-step explanation:

4pi(16)²

4pi256

1024pi

Answer:

[tex]256\pi {cm}^{2} [/tex]

Step-by-step explanation:

surface area of a sphere=4πr^2

diametre=16

[tex]radius = \frac{diametre}{2} [/tex]

radius=8

[tex]surface \: area \: of \: sphere = 4 \times \pi \times {8}^{2} [/tex]

[tex] \: \: \: \: = 4 \times \pi \times 64[/tex]

[tex] \: \: \: \: = 256\pi {cm}^{2} [/tex]

Answer:

x = 25.

Step-by-step explanation:

Since the longer side of the smallest triangle bisects the largest triangle's right angle, all three triangles shown are similar.

As seen in the diagram, the smaller triangle's hypotenuse (15) corresponds to the the largest triangle's hypotenuse (x), and the smaller triangle's shorter side length (9) corresponds to the largest triangle's shorter side length (15). So, we can set up a proportion...

[tex]\frac{x}{15} =\frac{15}{9}[/tex]

9 * x = 15 * 15

9x = 225

x = 225/9

x = 25

Hope this helps!

Answer:

Hey there!

Donald would have 20x+10 dollars.

20 dollars (number of 20 dollars) + 10 dollars

Answer: 20x + 10

Step-by-step explanation:

20x in this expression means 20 * the number of dollar bills he owns.  Each bill is worth twenty dollars.  + 10 is simply 10 * 1(the number of 10 dollar bills he owns)

Hope it helps <3

Answer:

The area of square is 64ft².

Step-by-step explanation:

Given that all sides of a square are equal. So you have to apply the formula for area of square :

[tex]area = length \times width[/tex]

[tex]let \: length = 8 \\ let \: width = 8[/tex]

[tex]area = 8 \times 8[/tex]

[tex]area = 64 \: {ft}^{2} [/tex]

Answer:

here,

side length (l)= 8 ft.

now, area = l^2

a= 8^2

=64ft^2 is the answer..

hope i helped uh..

Answer:

x= 116°

y= 127°

Step-by-step explanation:

x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch

y.... Angle in a cyclic quadrilateral add up to 180°

hence 180-53=127