Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]
Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]
It is given that, the total amount spend on movie is $75. So,
[tex]3(x+8.25)=75[/tex]
[tex]x+8.25=\dfrac{75}{3}[/tex]
[tex]x+8.25=25[/tex]
Subtract 8.25 from both sides.
[tex]x=25-8.25[/tex]
[tex]x=16.75[/tex]
Therefore, the cost of each movie ticket is $16.75.
someone PLEASE help me. this is an area of sectors problem and im confused.
explaining your answer = brainliest/five stars
The radius of a circle is 6 feet. What is the area of a sector bounded by a 126° arc?
give your exact answer in SIMPLEST FORM
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]
Find the area of the shaded region.
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]
a) If volume of a cylinder is 4817 and the radius is 4, find the height.
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
12. Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50. A few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store. What is the least possible number of times that Mariam has been to the store? Just write the number. *
What is the surface area of the figure?
428 ft²
560 ft²
632 ft²
888 ft²
Answer:632 ft²
Step-by-step explanation:
What is the y-coordinate of the ordered pair that satisfies the system of linear equations?
6x+4y= -14
-x - 5y=11
A. 2
B. 1
C. -1
D. -2
Answer:
D
Step-by-step explanation:
Please help me show my work for, Larry has a piece of wood that is 2.45 feet long and 2.097 inches wide. Part B: Using the width of the wood in Part A, what is the area, in square feet, of the piece of wood rounded to the nearest hundredth? Plsss hurry and help me
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
Solve for the roots using the quadratic formula. Express your answers to two decimal places.
2x^2 − 5x − 1 = 0
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
Please help with this question!
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
Which choice is equivalent to the fraction below? 6/(sqrt(3))
Answer:
A. 2sqrt3
Step-by-step explanation:
Hope this helps!
HELLLLLLPPPPP!!!!!!!!!!!!!
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
In a right angled triangle where angle A= 90° and AB=AC. What are the values of angle B.
Answer:
45°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:
m∠B = 90°/2 = 45°Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
6.5 cm
17.4 cm
14.6 cm
9.4 cm
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
The seating capacity of a basketball stadium is 5,782. The seats are arranged in 24 sections of the same size. Any seats that are leftover from the 24 sections are called priority seats. How many seats are priority seats? I did not understand how to solve this problem.
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
Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest.
Answer: A
Step-by-step explanation:
Each gallon costs 3 dollars.
8(gallons) times $3(for each gallon) = 24(dollars).
Write an equation that represents the line
Answer:
[tex]y = \frac{3}{2}x +2[/tex]
Hope this helps!
Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.
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
A ... has one triangular base and three triangular lateral faces.
Rectangular Prism
Square Pyramid
Triangular Pyramid
Triangular Prism
Answer quick Please!
Hope this help!!!
Have a nice day!!!
Answer:
that gy is rong dount do it
Step-by-step explanation:
P= -4b^2+6b-9
Q= 7b^2-2b-5
P-Q=
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
What is one way to test whether an unknown solution is acidic or basic?
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:
Andy and Beth are walking at a constant pace around a circular track. At one point, Andy turn and walks at the same pace directly to the flag pole at the center of the track while Beth continues at the same pace around the track How far did Beth walk, in radians, after they separated?
Answer:
?
Step-by-step explanation:
What is the solution to -1-7?
BRE
--10-9-8-7-6
0
1
2
3
4
5
Б
7
8 9 10
-6
Оооо,
6
Answer: -8
Step-by-step explanation: hope this helps=)
Please Help Me!
Polygon DRMF is congruent to SLTO. Name two sets of congruent angles and two sets of congruent sides.
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
Help me please !!!!!!!!!!!
Answer:
option 1
Step-by-step explanation:
[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]
If p + q + r = 4 and -p + q + r = 2, then p=?
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Answer:
D
Step-by-step explanation:
by subtraction of these 2 equation,
2p = 2
p = 1
Find the product.
7 × 7 =
Answer:
49
Step-by-step explanation:
Seven times seven (7x7) equals forty-nine
Answer:
The answer is forty nine (49)
Determine the discriminant for the quadratic equation 0=-2x^2+3. Based on the discriminant value, how many real number solutions does this equation have ? Discriminant = b^2-4ac
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!
Find the surface area
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 :)
Please give real answers with an explaination. 70 points + I will follow. No Docs/No Files/No Links only answer with explaination.
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.
10/12 divided by ?/? = 5/6
Answer:
1
Step-by-step explanation:
10/12 = 5/6
so devided by one