A new movie is currently showing at the local movie theater. For the 6:00 pm showing, the theater sold 36 student tickets and 24 adult tickets for a total of $423. The theater sold 41 student tickets and 38 adult tickets for a total of $585.75 for the 8:30 pm showing. If x represents the number of student tickets sold and represents the number of adult tickets sold, which of the following systems of equations correctly models the situation? Group of answer choices
Answer:
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
x =$5.25
y = $9.75
Step-by-step explanation:
x = the number of student tickets sold
y = the number of adult tickets sold
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
Multiply (1) by 38 and (2) by 24
1368x + 912y = 16,074 (3)
984x + 912y = 14,058 (4)
Subtract to eliminate y
1,368x - 984x = 16,074 - 14,058
384x = 2,016
x = 2,016/384
x = 5.25
Substitute x = 5.25 into (1) to find y
36x + 24y = 423
36(5.25) + 24y = 423
189 + 24y = 423
24y = 423 - 189
24y = 234
y = 234/24
y = 9.75
x =$5.25
y = $9.75
Can someone please help me with this
Answer:
D
Step-by-step explanation:
A has the rate of change of 3
B has the rate of change of 5
C has the rate of change of 9
D has the rate of change of 20
y=xe^x how do you find the domain of the following function
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."
__
The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.
Marcus and Mary have £30 between them. The amount of money Marcus has compared to Mary is in the ratio 1:5. How much money would Mary have?
Answer:
25
Step-by-step explanation:
30÷6=5
5×5= 25
.........
Please help with what you can!
Thank you!
Answer:
The answer to number 9 is: 148.16
The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.
Answer:
10%
Step-by-step explanation:
we want to find what % of 34 is 37.40
so, we will use the following equation:
[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]
for this scenario:
part = 37.40
whole = 34
percent = x
now plug in:
[tex]\frac{37.40}{34} = \frac{x}{100}[/tex] cross multiply
34x = (37.40)(100)
34x = 3740 divide both sides by 34
x = 110%
now we know that with tax, we paid 110% of the video game's price
110 - 100 = 10%
so the percent sales tax is 10%
just to check...
34 • 1.10 = $37.40
or
34 • .10 = 3.40
34 + 3.40 = 37.40
2,416 divided by 6 need the answer
Answer:
402.66666666667
Step-by-step explanation:
my number is the largest 2 digit number that is a multipull of both 4 and 3
Answer:
96.
Step-by-step explanation:
4*4*3 = 48
2 * 48
= 96
How do you write 0.5 as a percentage?
what would be the answer to this question?
Answer:
5
Step-by-step explanation:
2*2 + 3*6 + 4*x + 5*8 + 6*1 = 84
4*x = 16
x = 4
Right, 8 is the biggest frequency
hey! please help on this question i'll give brainliest <333 .
Answer:
9 1/6
Step-by-step explanation:
=(35×3)+(10×6)6×3
=165/18
Simplifying 165/18, the answer is
=9 1/6
What is equivalent to 7x(4x-5)
7x(4x-5)
Distribute
28x^2-35x
Ans : 28x^2-35x
Answer:
28x - 5
Step-by-step explanation:
coeffecients with the same variable can be multiplied added subtracted divided so i multiplied 7 and 4 because they have the same variable which is X so it would be 28x and you can't multiply 7x by 5 because it doesnt have a variable consider multiplying if it has the same variable when it has a variable. so it would just be 28x - 5
!!! please help !!! i’ll mark brainlest or whatever if it’s right :)
What is the best name for the given solid figure?
A. rectangular pyramid
B. rectangular cone
C. rectangular prism
D. rectangle
Answer:
rectangular prism
Step-by-step explanation:
Liam has 8/9 pound of clay. He will use 1/3 pound to make each action figure. How many action figures can he make?
Answer:
Step-by-step explanation:
8/9
1/3= 3/9
8/9 / 3/9
8x 9
9 3
8x9=72
9x3=27
72/27=2.666666
Liam can make 2 action figures
can someone help me with this problem? A game results in either a positive or a negative score for the player during each turn. One player had a total score of -288 points after nine turns. What was his average score per turn?
Answer:
He or she got around -32 points per turn.
Step-by-step explanation:
-288 points (the total) divided by the player's 9 turns equals -32. This means that they got negative 32 points on average every round.
There was 3/4 of a cake left over from a super bowl party. If you eat 2/3 of it, how much
cake did you eat?
Answer:
1/12
Step-by-step explanation:
3/4 turns to 9/12 of the cake is left before
2/3 turns to 8/12
9/12 minus 8/12 is 1/12
Michael has $1,017.59 in his checking account. He is going to spend $540.68 on a new television, and he will spend the rest on
speakers that cost $41.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
A. $1,017.59 < $41.00x + $1,017.59
B. $1,017.59 + $540.68 > $41.00 +X
C. $41.00x + $540.68 < $1,017.59
D. $540.68 + $41.00 + x < $1,017.59
Answer: B
Step-by-step explanation:
Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number of watermelons loretta grew this year?
Answer:
[tex]54+\frac{5}{9}\times 54[/tex]
Step-by-step explanation:
We are given that
Loretta grew watermelons in her garden last year=54
We have to find the expression which shows the number of watermelons Loretta grew this year.
To find the expression which shows the number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .
According to question
5/9 of 54=[tex]\frac{5}{9}\times 54[/tex]
Therefore, the expression which shows the number of watermelons Loretta grew this year
=[tex]54+\frac{5}{9}\times 54[/tex]
Emma needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5 hours and charged her $168 for parts. The total was $743. What was the cost of labor, per hour?
Answer:
115
Step-by-step explanation:
5\color{red}{x}+\color{blue}{168}=
5x+168=
\,\,\color{purple}{743}
743
-\color{blue}{168}\phantom{=}
−168=
\,\,-\color{blue}{168}
−168
Subtract 168 from both sides
5\color{red}{x}=
5x=
\,\,575
575
\frac{5\color{red}{x}}{5}=
5
5x
=
\,\,\frac{575}{5}
5
575
Divide both sides by 5
\color{red}{x}=
x=
\,\,\boxed{\color{red}{115}}
115
Find the logarithms of the following numbers to the base 1/3: 1
Answer:
6.644
Step-by-step explanation:
please i need help again
Answer:
8^2*(2+6)/4= 64*8/4 = 512/4 =128
Answer:
128
Step-by-step explanation:
First add 2+6 because it's in parenthesis
Second, square 8 and get 64
third, multiply 64 times 8
last divide 64 times 8 (which is 512) by 4
USE PEMDAS OR GEMS TO DECIDE THE ORDER
GEMS:
G- groups (parenthesis)
E- exponents
M- multiplication and division (go in order of what comes first in equation)
S- subtraction and addition (go in order of what comes first in equation)
Ruby stands at 5 feet tall her shadow is 6 feet long how far is it form the top of her head to the end of the shadow
Answer: 7.81 feet
Step-by-step explanation:
This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.
This can therefore be solved by the Pythagorean formula:
c² = a² + b²
where ;
c = hypotenuse
a = height
b = length
c² = 5² + 6²
c² = 25 + 36
c² = 61
c = √61
c = 7.81 feet
Multiply 13.5 x 12.1 using a regrouping strategy. Explain your answer and each step that you take.
Answer:
163.485
Step-by-step explanation:
multiply 13.5 x 12.11
need help solving this problem down below.
Answer:
1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²
2 / Find the area of an isosceles Δ DEF:
The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft
So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²
3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²
Step-by-step explanation:
what is $420 with a 6% tax
=============================================================
Explanation:
There are two approaches.
The slightly longer approach will have us take 6% of 420 to get 0.06*420 = 25.20
So 25.20 is the amount of tax you pay on top of the original $420. The total bill is 420+25.20 = 445.20 dollars
--------------
The shortcut is to multiply 420 by 1.06 to get 420*1.06 = 445.20
The 1.06 multiplier indicates an increase of 6%
We can think of it it as 1.06 = 1 + 0.06 = 100% + 6%
2 ( n - 7 ) = 20
What is n?
Answer:
The answer is n = 17
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Hoped this helped!
brainly, please?
Please help me !!!!!!!
Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Ok so,
let's try to plug in the first ordered pair into the equation. It should look like this:
11 = 8+3
11=11 CORRECT
now let's try to plug in the second ordered pair. it should look like this:
-5 = -8+3
-5 = -5 CORRECT
hope this helps. have a good day!!
What are the coordinates for Point S?
Answer:
(2, -2)
Step-by-step explanation:
its positive 2 on the x axis and negative 2 on the y axis
2/2q+3=1/8
solve for q
Answer:
[tex]q= -\frac{23}{8 }[/tex]
Step-by-step explanation:
hope this helps have a good rest of your day :) ❤
p−3=−4
Helppppp
Meeee
Plzzz
sorry i had the wrong answer...