Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].

All quadratic equations can be solved with the quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex].

When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

[tex]0=-2x^2+3[/tex]

We are given above equation. Notice how there are values for a and c but none for b, as there is no bx term. This means that the value of b is 0. We can rewrite the equation so it shows this:

[tex]0=-2x^2+0x+3[/tex]

Now that we have the values of a, b and c, we can plug them into the discriminant:

[tex]D=0^2-4(-2)(3)\\D=-4(-2)(3)\\D=-4(-6)\\D=24[/tex]

Because 24 is positive, there are two real, distinct solutions for this equation.

I hope this helps!

Answer:

49

Step-by-step explanation:

Seven times seven (7x7) equals forty-nine

Answer:

The answer is forty nine (49)

Answer:

1

Step-by-step explanation:

10/12 = 5/6

so devided by one

Answer:

Bases change red litmus into blue and bases have a slippery and soapy texture. Therefore, we can conclude that out of the given options, one way to test whether an unknown solution is acidic or basic is to check whether the solution has a slippery feel

Step-by-step explanation:

Answer:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

<F corresponds to <O

For the sides, we have:

DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Answer:

[tex]y = \frac{3}{2}x +2[/tex]

Hope this helps!

Answer:

Area of  shaded region = 134.13 square feet

Step-by-step explanation:

Area of the shaded region = Area of square - Area of circle

                                         [tex]= ( 25 \times 25) - ( \pi 12.5^2)\\= 625 - 490.87\\= 134.13 ft^2[/tex]

Answer:   -8

Step-by-step explanation: hope this helps=)

Answer: 0.43ft²

Step-by-step explanation:

You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.

Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:

= 2.45 × 0.17475

= 0.4281375 ft²

= 0.43ft² to nearest hundredths

Note 1 foot = 12 inches

Therefore, 2.097 inches = 2.097/12 = 0.17475 feet

Answer:

D

Step-by-step explanation:

Answer:

6.5cm)

Step-by-step explanation:

13.1 cm x 13.1 cm = 171.61

11.4 cm 11.4 cm = 129.96

171.61 - 129.96 = 41.65

Find the square root of 41.65.

41.65 = 6.4536811201050 x 6.4536811201050

Round 6.4536811201050.

x = 6.5cm

Note:

Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!

-kiniwih426

Hope this help!!!

Have a nice day!!!

Answer:

that gy is rong dount do it

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Each gallon costs 3 dollars.

8(gallons) times $3(for each gallon) = 24(dollars).

Answer:

?

Step-by-step explanation:

Answer:632 ft²

Step-by-step explanation:

Divide capacity by sections:

5782 / 24 = 240.9167

The number of seats in each section is needs to be a whole number so there are 240 seats per section:

240 seats per section x 24 sections = 5,760 seats.

Priority seats is capacity - total section seats:

5782 - 5760 = 22

There are 22 priority seats

Answer:

P - Q = - 11b² + 8b - 4

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

Answer:

a =9  b=0 c=6

Step-by-step explanation:

6+9x^2

Rewrite

9x^2 +0x+6

This is in the form

ax^2+bx+c

a =9  b=0 c=6

Answer:

second option

Step-by-step explanation:

find angle c

angle a + angle c = 110 degree (sum of two interior opposite angle is equal to the exterior angle formed )

70 + angle c = 110

angle c = 110 - 70

angle c = 40 degree

find angle b

angle a + angle b + angle c = 180 degree (sum of interior angle of a triangle)

70 + angle b + 40 = 180

angle b + 110 = 180

angle b = 180 - 110

angle b = 70 degree

when two sides are equal the triangle can be named as isosceles triangle.

Answer:

option B

Step-by-step explanation:

∠ABD + ∠ABC = 180°            [ straight line angle ]

110° + ∠ABC = 180°

∠ABC = 180 - 110 = 70°

option A : False

Option B : True,

      Since two angles are same, the given triangle is isosceles.

option C : False

        Nothing mentioned about the sides in the figure. Though it is isosceles

      it does not mention anything about sides.

            If two angles of a triangle are congruent,

          then the sides opposite those angles are congruent.

          That is , AC = BC

Option D : False, Because only B satisfies.

Answer:

A. 2sqrt3

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

by subtraction of these 2 equation,

2p = 2

p = 1

Step-by-step explanation:

so for this one u do

[tex]15 \times 9 + 9 \times 4 + 15 \times 4[/tex]

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

Answer:

x = 2.69 or x = -0.19

Step-by-step explanation:

Given:

2x² − 5x − 1 = 0

x = {-b ± √b² - 4ac} / 2a

a = 2

b = -5

c = -1

x = {-b ± √b² - 4ac} / 2a

= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2

= {5 ± √25 - (-8)} / 4

= {5 ± √25 + 8} / 4

= 5 ± √33 / 4

= 5 ± 5.75 /4

x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4

x = 10.75/4 or x = -0.75/4

x = 2.69 or x = -0.19

Answer:

Step-by-step explanation:

This is an isosceles right triangle as two legs are congruent.

The angle measure of both acute angles (B and C) is same:

Answer:

Acute angled and scalene because if the sum of two angles is 110 then the third angle should be 70 which is acute angle

Answer:

option 1

Step-by-step explanation:

[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]

Answer:

12 3/5 pi

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = pi ^^2

A = 36 pi

Then find the fraction of the circle that is shaded

A circle is 360 degrees

126/360 =7/20

Multiply the area by the fraction

7/20 * 36 pi

63/5 pi

12 3/5 pi

Answer:

the area of sector is

[tex] \frac{126}{360} \times \pi \times 6 {}^{2} = \frac{63}{5} \pi[/tex]

Answer:

Step-by-step explanation:

I would have thought the answer would be whole numbers...

using top line....

5x-5y + 7x-15 = 180 (that is a line)

12x - 5y = 195

using bottom line

4x+ 4y +2x+ y = 180

6x + 5y =180

~~~~~~~~~~~~~~~~~~

12x - 5y = 195

6x + 5y =180

(fives cancel)

18x = 375

x = 20.83

y= 11

Answer:

x=125/6

y=11

Step-by-step explanation:

Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.

So we have the following two equations:

7x-15+5x-5y=180

4x+4y+2x+y=180

Let's simply(combine like terms):

12x-5y-15=180

6x+5y=180

Add 15 on both sides for first equation:

12x-5y=195

6x+5y=180

Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):

18x=375

Divide both sides by 18:

x=375/18

Simplify (reduce fraction):

x=375/18 ÷3/3=125/6

Now let's go back and find y using either equation:

6x+5y=180 with x=125/6

6(125/6)+5y=180

125+5y=180

5y=180-125

5y=55

y=11

x=125/6 and y=11

Answer:

71. 8

Step-by-step explanation:

volume of a cylinder = 4/ 3 π r² h

=> 4817 = 4/ 3 × 22/ 7 × 4² × h

=> h = (4817 × 3 × 7)/ (4 × 22 × 4²)

=> h = 71.8