Given:
Student ticket price = $7
A group of 4 students and 3 adults paid $64 in all for movie tickets.
To find:
Each of the adult ticket cost.
Solution:
Let x be the cost of each adult ticket.
Then, cost of 3 adult tickets = 3x.
Cost of 1 student ticket = $7
Cost of 4 student ticket = $7(4)
According to the question,
[tex]7(4)+3x=64[/tex]
[tex]28+3x=64[/tex]
[tex]3x=64-28[/tex]
[tex]3x=36[/tex]
Divide both sides by 3.
[tex]x=12[/tex]
Therefore, the cost of each adult ticket is $12.
Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modeled by the quadratic equation h = -4.9t2 + 53.9t + 127.4, where h is the rocket's height, in meters, after t seconds. When factored, this equation is h = -4.9(t - 13)(t + 2). What is a reasonable time for it to take the rocket to land on the ground? Answer A 11 seconds Answer B 13 seconds Answer C 2 seconds Answer D 15 seconds
Answer:
13 seconds.
Step-by-step explanation:
Given
[tex]h = -4.9(t - 13)(t + 2).[/tex]
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes
[tex]0 = -4.9(t - 13)(t + 2).[/tex]
Divide through by -4.9
[tex]0 = (t - 13)(t + 2).[/tex]
Reorder the expression
[tex](t - 13)(t + 2) = 0.[/tex]
Split
[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]
This gives:
[tex]t = 13[/tex] or [tex]t = -2[/tex]
But time can't be negative, So:
[tex]t = 13[/tex]
55 is 40% of what number?
a. 137.5
b. 110
c. 72.7
d. 13.8
Answer:
Answer Is A
Step-by-step explanation:
Just trust me
Help ,me !!!!!!!!!!!!!!!1
Answer: b
Step-by-step explanation:
Because it says below zero and b is below zero
THIS IS VERY EASY!!!
Answer:
75%
Step-by-step explanation:
1750-1000/1000
HELP PRETTY PLEASE ILL GIVE BRAINLIEST
At the Copy Shoppe, 10 copies cost $1.15. At that rate how much will 50 copies cost?
Answer:
5.75
Step-by-step explanation:
Answer:
$5.75
Step-by-step explanation:
10 copies cost $1.15
50 copies costs $x
x = 1.15*50 /10 = $5.75
Please help me with question 2
Answer:
D
A Step-by-step explanation:
Hope it helps
TR = 3x + 5, and RA = x + 17. Find the value of x.
Answer: x=6
Step-by-step explanation:
TR=RA since TR and RA are congruent
3x+5=x+17
3x+5-5=x+17-5
3x=x+12
3x-x=x-x+12
2x=12
2x/2=12/2
x=6
ILL GIVE BRAINLIEST AND LOTS OF POINTS
Find the percent of increase
6. from 44 to 66 7. from 6 to 6.5
Find the percent decrease. Where necessary round to the nearest tenth of a percent
8. from 56 to 36 9. from 72 to 18
Answer:
6. 33% increase
Step-by-step explanation:
Equation of increase/decrease: (Final value-initial value)÷(Initial Value)
6. (66-44)÷(66)=0.33
-Multiply by 100 to get 33% increase
7. (6.5-6)÷(6)=0.083
-Round and multiply by 100 to get 8.0% increase
8. (56-36)÷(56)=0.357
Round and multiply by 100 to get 36% decrease
9. (72-18)÷72=0.75
Multiply by 100 to get 75% decrease
Answer:
from 44 to 66 7 from 6 to 6.5
1415.9090909091%
667 - 44
44
x 100% = 1415.9090909091%
8.3333333333%
6.5 - 6
6
x 100% = 8.3333333333%
i dont know the other one sorry :(
Mason made 19 more shots during
the basketball season than Noah.
Peter made 10 shots less during
the season than Noah. If Peter
made 23 shots, how many shots did
Mason make?
Answer:
52
Step-by-step explanation:
Let the number of shots Mason made be x.
No. of shots (Mason) = x
No. of shots (Noah) = x-19
No. of shots (Peter) = x-19-10
= x-29
x-29 = 23
x = 23 + 29
x = 52
Thus, Mason made 52 shots.
What is (x+3)+(2xx+-5
factorize: x³-x²+x-1
Answer:
(x-1)(x^2+1)
Step-by-step explanation:
x³-x²+x-1
(x-1)(x^2+1)
Answer:
hope it helps you have a great day keep smiling be happy stay safeWhat is the first step to solving the following equation?5x –11 = 42
Answer:
add the 11 to both sides to cancel it out.
Step-by-step explanation:
so basically
5x - 11 + 11 = 42 +11
5x = 53
The required first step of solving the given expression is to add 11 on both sides.
Given that,
The first step for the solution of the given expression 5x - 11 = 42 is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
5x - 11 = 42
Add 11 on both sides to reduce the equation as
5x = 53
Thus, the required first step of solving the given expression is to add 11 on both sides.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
ILL GIVE BRAINLIST HELPHHJJKKKK
can you guys help me with this
please help me fill out the blanks in the bottom!
Answer:
2: 67
3:67
4: 113
Step-by-step explanation:
Answer: 67 degrees, 67 degrees, 113 degrees
Step-by-step explanation:
Angle 2: 180-113= 67 degrees
Angle 3: angle 3=angle 2
67 degrees
Angle 4: angle 4=angle 1
113 degrees
On his last test Julie stated that the point (-3 ,4) was a solution to the system of equations below explain whether she was correct by using complete sentences and work to support your claim -3x+4y=25 and y= -3x+4
Answer:
(-3/5, 29/5)
Step-by-step explanation:
Given the simultaneous equation;
-3x+4y=25...... 1
y= -3x+4 ..... 2
We are to confirm if (-3, 4) is the solution to the equations;
Substitute equation 2 into 1;
From 1;
-3x+4y=25
-3x + 4(-3x+4) = 25
-3x -12x + 16 = 25
-15x = 25 - 16
-15x = 9
x = -9/15
x = -3/5
Substitute x = -3/5 into equation 2 to get y;
From 2;
y= -3x+4
y = -3(-3/5)+4
y = 9/5 + 4
Find the LCM
y = (9+20)/5
y = 29/5
Hence the solution to the system of equation is (-3/5, 29/5) hereby falsifying Julie's solution.
Factorise fully 9x+15
Answer:
3(3x + 5)
Step-by-step explanation:
9x + 15
find a common factor, 3
3(3x + 5), this is the answer as u can't factorize anymore
What is the product of -2/7 and -3/7
Answer:
6/49 is the answer of this question
Answer:
here is your answer mateStep-by-step explanation:
6/49 mark me as a brainlist
What is the common ratio of this sequence: 4, 20, 100...?
pls
Step-by-step explanation:
5 is the answer
..................
Matthew has 219 pens to put into packages. Each package must hold 8 pens.
How many packages of pens can Matthew make? How many pens will be left over?
Enter your answers in the boxes.
Answer:
he can make 27 packages and will have 3 pens left over
What is the area???
Answer:
in squared 252
Step-by-step explanation: idk how but
9 times 12= 108
6 times 15=90
6 times 9=54
Write fifty-three dollars and six cents using the dollar symbol (without spaces)
Answer:
$53.06
Step-by-step explanation:
Answer:
$53.06
Step-by-step explanation:
What is the decimal equivalent of ?
Answer:
4) 0.4
Step-by-step explanation:
Divide 4 with 9 and you get 0.444444444444444... basically 4 forever
PLEASEEE HELPPP ME DOO THISS
Answer:
ACD and BCE
Step-by-step explanation:
Hanson is doing an obstacle course in gym class. First, he runs 500 meters and jumps over a hurdle. Then, he crawls through a 20-meter tunnel. Finally, he dribbles a soccer ball 100 meters to the finish line. How many kilometers long is the obstacle course?
Answer:
0.620 km
Step-by-step explanation:
0.500 + 0.020 + 0.100 = 0.620, or 0.62 km long
find vertex and axis of symmetry
-3(x-4)^2+1
Answer:
vertex=(4,1)
aos:x=4
Collin is collecting rocks for a science project. So far, he has collected 36 rocks, which is 90% of the total he needs. How many total rocks does Collin need for his science project?
Answer:
40 total rocks
Step-by-step explanation:
100 * 36 / 90 = 40
Answer:
he needs 4 more
Step-by-step explanation:
BRAINLIEST FOR FIRST PERSON WHO SOLVES QUESTION
The formula for the volume, V, of a shape is given by V = Ah. A is the area and h is the height.
(a) Find the volume of the shape if A = 40 and h = 8
(b) Find the area of the shape if V= 800 and h = 20
Answer:
Step-by-step explanation:
a) V= A*h V=40*8=320
b) V=800 and h=20
A=V/h=800/20=40
Answer:
see explanation
Step-by-step explanation:
Given the formula
V = Ah
with A = 40 and h = 8 , then
V = 40 × 8 = 320 units³
(b)
Given V = 800 and h = 20, then
800 = 20A ( divide both sides by 20 )
A = 40 units²
What is Value of x in the equation 3x+9/2 = x-4/3
Answer: Exact Form:
x= −35/12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
I need help!
And if you can explain that would be good!
Answer:
meema, papa, and then auntie jo
Step-by-step explanation:
you need to find the slope of each of them and then determine which one is the fastest and which one is the slowest.
meema: 48-24/4-2 = 4/2 = 2
papa: 40-24/5-3 = 16/2 = 8
auntie jo: 45-18/5-2 = 27/3 = 9
im in algebra two so you can trust my answer. happy holidays and stay safe!