Answer: They sold 173 adult tickets and 43 student tickets.
Step-by-step explanation:
Equations:
10.25x + 8y = 2117.25x + y = 216X = adult tickets.Y = student tickets.Solving:
10.25x + 8(216 - x) = 2117.25 (y = 216 - x, substitute in for y)10.25x + 1728 - 8x = 2117.25 (distribute)2.25x = 389.25 (combine like terms)x = 173173 + y = 216 (solve for y)y = 43Graph the system of equation:
Y=-5/3x+3
Y=1/3x-3
Answer: first picture is for y=-5/3x + 3
Step-by-step explanation:
(21.) A writer earns $3400 a month. Last month she spent $204 on food.
What percent of her income was spent on food?
Answer: 6%
Step-by-step explanation:
3400's x%=204
(3400)x/100=204
34x=204
34x/34=204/34
I used my calculator to divide
x=6
So 6%
Make A the subject of the formula
R=square root of a/3
Answer:
R=√a/3
now put square on both side to remove square root
(√A/3)²=R²
A/3=R²
so we get
A=3(R²)
plz mark me brainest
How many pounds are in 24 ounces?
A. 1/2
B. 1
C. 1 1 /2
D. 2
Answer:
C is the answer
Step-by-step explanation:
Answer:
1.5 pounds so option c
Step-by-step explanation:
I hope this helps with your problem :)
A family wants to rent a car to go on vacation. Company A charges $60.50 and 12 cents per mile. Company B charges $45.40 and 10 cents per mile. How much more does charge for x miles than Company B?
Answer:
$15.02
Step-by-step explanation:
Let's write out some equations.
Company A:
60.50+0.12x=A
Company b:
45.50+0.10x=B
Now let's compare. If x=1, Company A charges
60.50+0.12=60.62=A
On the other hand, Company B charges
45.50+0.10=45.60=B
A-B=60.62-45.60=15.02
Since these are linear we can safely assume that this is constant :)
Between which two numbers on the number line is B?
A between 2 and 3
between 3 and 4
С.
between 4 and 5
D. O between 5 and 6
Answer:
C. Between 4 and 5.......
What is 3x-6+7y-4y plsssssssssss helpppppppp meeere
Answer:
Assuming you combingin like terms
3x-6+3y
Kamani can run 1 lap in 6 minutes. How many laps can she run in 18 minutes? If she runs 7 laps every day, how many minutes does she run everyday?
Please help, I need this quick.
Answer:
B and C
Step-by-step explanation:
I don't know how to explain this, but it is pretty self explanatory. It is Options B and C so you are correct
I need the answers to this
Answer:
i can't not understand sorry
Find the missing term.
(Blank) + 7 - 3i) + (5 + 91) + 131 = 10 - 5i.
Options:
-2 - 24i
2 - 12i
-12-24
-2 + 141
Answer:
-2 - 24i
Step-by-step explanation:
a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i
a + bi + 7 + 5 - 3i + 9i + 13i = 10 - 5i
a + bi + 12 + 19i = 10 - 5i
a + bi = 10 - 5i - 12 - 9i
a + bi = 10 - 12 - 5i - 9i
a + bi = -2 - 24i
A rectangular garden has a walkway around it. The area of the garden is 6(4.5x +3.5). The combined area of the garden and the walkway is 6.5(6x + 6). Find the area of the walkway around the garden as the sum of two terms. The area of the walkway around the garden is (Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
13x+23.5
Step-by-step explanation: I dont know how to explain
Question 2 of 10
What is the center of the circle shown below?
A. 7.8
В. ЈК
C. K
D. J
Answer:
its 100% JK
Step-by-step explanation:
{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
Answer:
The answer is 0.
Step-by-step explanation:
solve 9+5=14
14/7=2
2-2=0
solve the pther side
25-20=5
4*5=20
0*20=0
if x+y = 1, and x^2 + y^2 = -1, what is x^7 + y^13?
1) 0
2) 1
3) -2
4) 2
5) -1
Solve for x and y :
x + y = 1 → y = 1 - x
x ² + y ² = -1
x ² + (1 - x)² = -1
x ² + (1 - 2x + x ²) = -1
2x ² - 2x + 1 = -1
2x ² - 2x + 2 = 0
x ² - x + 1 = 0
x ² - x + 1/4 = -3/4
(x - 1/2)² = -3/4
x - 1/2 = ±√(-3/4)
x - 1/2 = ±√3/2 i
x = 1/2 ± √3/2 i → x = exp(± iπ/3)
y = 1 - (1/2 ± √3/2 i ) → y = -1/2 ± √3/2 i → y = exp(± 2iπ/3)
Then
x ⁷ + y ¹³ = exp(± 7iπ/3) + exp(± 26iπ/3)
… = exp(± iπ/3) + exp(± 2iπ/3)
since 7π/3 is equivalent to π/3, and 26π/3 is equivalent to 2π/3 (both modulo 2π).
In either case, we get
x ⁷ + y ¹³ = x + y = 1
so the answer is (2) 1.
I will give Brainiest to whoever answers correctly !!!
Hey there!
I believe the answer to your question is 47.21 ml of oxygen are in the 55 ml sample of sea water.
To get this, you can do 0.8584 x 55 = 47.212, because you want to find 85.84% of 55, to know how much oxygen is in the sample. Then, you round it to the nearest hundreth.
Hope it helps! Have a great day! Do tell me if I'm mistaken.
Find the value of X
ASAP
Help please. How to calculate it? That is the answer of last one ?
Answer:
60
Step-by-step explanation:
Shoes= 10
Human= 5
Cone= 4
10+5= 15 x 4= 60
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
Fourteen out of the twenty people in your class have black hair.
An architect's compensation package includes the total cost of a $250-per-month health insurance plan, the total cost of a $35-per-month life insurance plan, and a salary of $55,000 per year. what is the yearly value of the compensation package
Answer:
Answer:
The answer is A $ 58,420
Explanation:
If we multiply the monthly benefits of health and life insurance combined we will get the annual value of them.
$35 + $250 = $285
$285*12 = $3420
We already know the annual salary package which is $55000, by adding annual salary to the above calculated annual benefits you will get the total annual value of total compensation.
$55000+$3420 = $58,420
Step-by-step explanation:
Have a good day;-)
Answer:
58,420
Step-by-step explanation:
An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function below, where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars.
m(x) = 20x - 5x^3/4 + 0.01x^2
The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell x(p) = 320 - 7.7p planes.
(a) Find the cost, demand (or price), and revenue functions.
C(x) =
p(x) =
R(x) =
(b) Find the production level that maximizes profit.
Planes =
(c) Find the associated selling price of the aircraft that maximizes profit.
= $_______ million
(d) Find the maximum profit.
= $ _______ million
Answer:
[tex](a)[/tex] [tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex]p(x)=320-7.7p[/tex]
[tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]
[tex](b)[/tex] [tex]x=82 \text{planes}[/tex]
[tex](c)[/tex] [tex]p=\$30.91 M\;\; \text{per plane}[/tex]
[tex](d)[/tex] maximum profit [tex]=\$ 15.90M[/tex]
Step-by-step explanation:
Given that,
The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.
The additional cost of manufacturing each plane can be modelled by the function.
[tex]m(x)=20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex](a)[/tex] Find the cost, demand (or price), and revenue functions.
[tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex]p(x)=320-7.7p[/tex]
[tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]
[tex](b)[/tex] Find the production level that maximizes profit.
[tex]f=R(x)-C(x)[/tex]
[tex]\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)[/tex]
[tex]\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx[/tex]
[tex]x=320-7.7p[/tex]
[tex]p=\frac{320-x}{7.7}[/tex]
[tex]\frac{dp}{dx} = \frac{-1}{7.7}[/tex]
[tex]\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0[/tex]
[tex]\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0[/tex]
[tex]\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0[/tex]
[tex]\Rightarrow x=82 \text{planes}[/tex]
[tex](c)[/tex] Find the associated selling price of the aircraft that maximizes profit.
[tex]p=\frac{320-82}{7.7}[/tex]
[tex]\Rightarrow p=\$30.91 M\;\; \text{per plane}[/tex]
[tex](d)[/tex] Find the maximum profit.
Manufacturing cost of one plane is:
[tex]m(1)=20-5+0.01[/tex]
[tex]=\$15.01 M[/tex]
maximum profit [tex]=\$(30.91-15.01)M[/tex]
[tex]=\$15.90M[/tex]
Each day, Ms. Barr brews fresh tea at her restaurant. She brews 4 lb of tea per day Monday through Saturday. On Sunday, she brews 6.2 lb of tea. How much tea does she brew each week?
A whole is divided into 7 parts. Part 1 reads S and is labeled 6.2 pounds. Part 2 reads M and is labeled 4 pounds. Parts 3 through 7 are labeled T u, W, T h, F, S a, respectively. The rectangle is labeled 1 week.
hurry please i'll mark brainlist Which statements are true? Check all that apply.
She brews 4 lb of tea 6 days a week.
This is a comparison problem.
The first step is to multiply 4 lb by the number of days that 4 lb are brewed.
The second step is to add 6.2 lb to the amount brewed the rest of the week.
The answer to the question will be: “She brews _____ lb each week.”
Answer:
She brew 4 lb of tea 6 days a week.
The first step is multiply 4 lb by the number of days that 4 lb are brewed.
The second step is to add 6.2 lb to the amount brewed the rest of the week.
The answer to the question will be: "She brews ______ lb each week."
Step-by-step explanation:
what is the equation of the line passing through the point (2,-1) with a slope of -3
Note: this answer assumes that the equation of the line must be in slope-intercept form.
Answer:
[tex]y= -3x + 5[/tex]
Explanation:
When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.
The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of
[tex]y-(-1) = -3(x-(2))[/tex]
[tex]y+1 = -3(x-2)[/tex]
Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:
[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]
Therefore, [tex]y= -3x + 5[/tex] is the answer.
Solve the inequality.
8 + 12x < -16
Answer:
x < - 2
Step-by-step explanation:
I hope this helps.
Answer:
x < -2
Step-by-step explanation:
1) 12x+8< -16 Rearrange the expression
2) 12x < -16+8 Separate the constants and variables
3) 12x< -24 Add the the number
4) 12x/12 < -24/12 Divide both sides by 12
5) x< -2 Answer
Hope that helps.
Use the table to write a proportion.
Please help. Ty!
Answer:
[tex]21.\bar{3}[/tex]
Step-by-step explanation:
Assuming a constant ratio, we can set up the following proportion:
[tex]\frac{6}{8}=\frac{16}{m}[/tex].
Cross-multiply to solve:
[tex]6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}[/tex]
PLEASE HELP ME FAST I NEED HELP PLEASE
Answer:
The first one
Step-by-step explanation:
You You need to make it 5 lb of crawfish so 6$ for 4 pounds is 12$
1 pound is 3$
4 pounds + 1 pound is 15$
Shop a and b is 15$
Last year, a college's tuition was $. 42,000This year, the tuition increased by 4%. Find this year's tuition by using a percent greater than 100.
Answer:
$43680
Step-by-step explanation:
Given data
Tuition was $. 42,000 last year
The tuition increased by 4%
Hence the current year tuition is given as
Current tuition= 42,000 + 4/100*42,000
Current tuition= 42,000 + 0.04*42,000
Current tuition= 42,000 +1680
Current tuition= $43680
Hence the current tuition is $43680
Rewrite the following without an exponent. 6^-2
Please answer ASAP!
Answer:
Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Step-by-step explanation:
We need to rewrite the following without an exponent. [tex]6^{-2}[/tex]
We need to solve the exponent to find the result.
We know the exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]
Now using this rule to solve the equation:
[tex]6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}[/tex]
So, Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Help me with this please worth 40 points!!!