Answer:
[tex]83f+49.8b \leq 560[/tex]
Step-by-step explanation:
Given that the cost of 1 floor ticket = $ 83.
Cost for f floor tickets = $ 83f
Ticket for 1 balcony ticket = 60% of floor ticket.
= 0.60 x 83 = $49.8
Cost for b balcony tickets = $ 49.8b.
Total cost for f floor tickets and b balcony tickets, C= 83f+49.8b.
As the person can spend a maximum of $560,
So, [tex]C\leq 560[/tex]
[tex]\Rightarrow 83f+49.8b \leq 560[/tex].
Hence, the required inequality is [tex]83f+49.8b \leq 560[/tex].
The focus of a parabola is [tex](0, 2)[/tex], and its directrix is the vertical line [tex]x=-6[/tex]. Identify the axis of symmetry, the vertex, and the direction the parabola opens.
Answer:
[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]
[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]
The parabola opens to the right (horizontally)Step-by-step explanation:
We need to note a few basic rules about focuses and directrix’s of a parabola.
1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry
2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola
3. The directrix is always the same distance away from the vertex as the focus
If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)
These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!
The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.
Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.
So our vertex is at [tex](-3, 2)[/tex].
We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]
In conclusion
The vertex is at [tex](-3, 2)[/tex] The axis of symmetry is at [tex]y=2[/tex] The parabola opens to the right (horizontally)Hope this helped!
A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-
bedroom condo. The total rent she receives is $1240. She needs to make repairs on the
condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-
bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total
repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.
How much is the rent for all three condos? Define your variables then write and solve a
system of equations.
Answer:
1 bedroom = $280
2 bedroom = $400
3 bedroom = $560
Step-by-step explanation:
Given that :
Total rent received = 1240
Rent amount of 3 bedroom = 2 times rent of 1 bedroom
Let 1 bedroom = x
2 bedroom = y
3 bedroom = 2x
x + y + 2x = 1240
3x + y = 1240 ---(1)
Repair cost :
10% of x = 0.1x
20% of y = 0.2y
30% of 2x = 0.6x
0.1x + 0.2y + 0.6x = 276
0.7x + 0.2y = 276 - - - (2)
From (1)
y = 1240 - 3x
0.7x + 0.2(1240 - 3x) = 276
0.7x + 248 - 0.6x = 276
0.1x + 248 = 276
0.1x = 28
x = $280
1 bedroom = $280
3 bedroom = $280 * 2 = $560
2 bedroom = $1240 - $840 = $400
An airplane is descending at a rate of 2500m per minute. How much higher was the
plane 10 minutes ago?
Answer:
25000 Meters high
Step-by-step explanation:
2500 x 10 = 25000
If bill gates gave everyone in the world his money EQUALLY how much would each person have?
Not serious question. You dont have to answer it if you dont want to i just wanted to know.
Answer:
It's five hundred thousand each.
Step-by-step explanation:
This is for everyone in the United states so everyone would get five hundred thousand ultimately ending poverty. But The only way top end out is for them to end poverty is people get a job and house and decent car.Plz give Brainliest!!!
3.
For each expression, combine like terms and write an equivalent expression with fewer terms.
a.
4x + 3x
b.
3x + 5x – 1
C.
5 + 2x + 7 + 4x
d.
4 - 2x + 5x
e.
10x – 5 + 3x – 2
The like terms combined and equivalent expressions are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given are the following expressions -
a. 4x + 3x
b. 3x + 5x – 1
c. 5 + 2x + 7 + 4x
d. 4 - 2x + 5x
e. 10x – 5 + 3x – 2
We have -
[A] -
4x + 3x
4x + 3x = 7x
[B] -
3x + 5x – 1
3x + 5x – 1 = 8x - 1
[C] -
5 + 2x + 7 + 4x
5 + 2x + 7 + 4x = 6x + 12 = 6(x + 2)
[D] -
4 - 2x + 5x
4 - 2x + 5x = 3x + 4
[E] -
10x – 5 + 3x – 2
10x – 5 + 3x – 2 = 13x - 7
Therefore, the like terms combined and equivalent expressions are given above.
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What is the coefficient of the last term in the binomial expansion of (x + 1)9?
Answer:
1 is the coefficient of the last term in the binomial expansion
A baseball player got 61 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the games? The player had nothing hits in the rest of the games.
Answer:
[tex](61-h)[/tex]
Step-by-step explanation:
Total number of hits by baseball player in one season = 61
Number of hits in one game = [tex]h[/tex]
To find:
The expression to represent the number of hits that the player got in the rest of the games = ?
Solution:
Number of hits that the player got in one game = [tex]h[/tex]
Let the number of hits that the player got in rest of the games = [tex]x[/tex]
As per the given question statement,
The sum of [tex]h[/tex] and [tex]x[/tex] will be equal to 61.
[tex]h+x=61\\\Rightarrow \bold{x =61-h}[/tex]
Therefore, the player had [tex](61-h)[/tex] hits in the rest of the games.
PLEASE HELP !! BRAINLIEST AND 10 POINTS
I will give brailiest to whoever needs it!
Answer:
me please
Step-by-step explanation:
Answer:
idc if i get it
Step-by-step explanation:
HELP ThIS IS DUE TODAY
True/False....When you are simplifying an expression you should look for the "like terms" to combine first. *
Answer:
true
Step-by-step explanation:
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.
Which expression represents the total cost of all of the pizzas they order?
Answer:
t = 8c + 12P
Step-by-step explanation:
We are told that cheese pizza(c) costs eight dollars.
This means for c number of cheese pizzas, cost is $8c
Also, we are told that cost of pepperoni pizza is $12 each.
So, for P number of pepperoni pizzas, the cost is $12P
Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.
Thus;
t = 8c + 12P
Please help me I don’t understand $!!!!!
9514 1404 393
Answer:
a) f: all real numbers except 1 and 2; g: all real numbers except 2
b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote
c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2
d) f(x) is also undefined at x=1
Step-by-step explanation:
a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.
The zeros of the denominator of f(x) can be found by factoring it.
x^2 -3x +2 = (x -1)(x -2)
These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).
domain of f(x): all real numbers except x=1 and x=2
Then, by inspection, the domain of g is similar, but a little different:
domain of g(x): all real numbers except x=2
__
b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.
[tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]
There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*
__
c) The difference between the two functions is that f(x) is undefined at x=1.
x = -2, -1, 0, 1, 2, 3, 4
f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2
__
d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.
_____
* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.
3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?
Answer:
a) x=40
b) x=3
c) x=40
d) x=35
e) x=9.6
Step-by-step explanation:
1. Cross multiply.
2. Divide.
Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert
Answer:
No
Step-by-step explanation:
Given that:
Plastic sleeves needed = 250
Number of baseball cards = 3084
Sleeves held per card = 12
To determine the number of sleeves needed ;
Number of baseball cards / number of sleeves per card
= 3084 / 12
= 257
No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257
Find the value of x and y.
Answer:
I believe it is A......
Answer:
C.)
Step-by-step explanation:
180 = 6x + (2x - 32)
212 = 8x
26.5 = x
y = 2x - 32
y = 21
A block of wood has a volume of 40 cm°, a length of 4 cm, a width of 5 cm. What is the helght of the wood?
49 cm
20 cm
O2 cm
60 cm
A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is
Answer:
[tex]m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 3)
Point (-2, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1-3}{-2-4}[/tex]Subtract: [tex]m=\frac{-2}{-6}[/tex]Simplify: [tex]m=\frac{1}{3}[/tex]Answer:
1, 1/2 2, 4/3
Step-by-step explanation:
If we graph each points. Slope = rise/run
1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified
2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.
The function g(x) = |x – 6| – 8 is graphed. What is the range? {y | y > –8} {y | y ≥ –8} {y | y < –8} {y | y is all real numbers}
Answer:
The answer is B {y | y ≥ –8}
Step-by-step explanation:
I just did it
Answer:
(B) {y | y ≥ –8}
Step-by-step explanation:
On a coordinate plane, an absolute value graph has a vertex at (6, negative 8).
The function g(x) = |x – 6| – 8 is graphed. What is the range?
{y | y > –8}
{y | y ≥ –8}
{y | y < –8}
{y | y is all real numbers}
Are u confused, depressed, and need help with homework?
Too bad, so am i
it's ok.
Answer:
true, i feel ya.
Z-5=8 what is the answer
Answer:
z = 13
hope it helps ;))
Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?
Answer:
[tex]\%\ Increase = 175 \%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 4[/tex]
[tex]New = 11[/tex]
Required
Determine the percentage increase
This is calculated using the following formula:
[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]
[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]
[tex]\%\ Increase = 1.75 * 100\%[/tex]
[tex]\%\ Increase = 175 \%[/tex]
What is the multiplicative inverse of One half
Answer:
2
Step-by-step explanation:
The multiplicative inverse of 1/2 is 2. To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse...
A 56 inch of pipe is cut into two pieces. One piece is 8 inches longer than the other. How long is each piece?
3. It takes 200 lb of sugar cane to produce 5 lb
of refined sugar. How many pounds of sugar
cane does it take to produce 200 lb of refined
sugar?
A. 2,500 lb
B. 7,500 lb
C. 7,700 lb
D. 8,000 lb
8000 pounds is required to produce 200 lb of refined sugar
How to calculate the amount of pounds that is required to produce 200 lb of refined sugar?
It takes 200 lb of sugar cane to produce 5 lb of refined sugar
For 1 lb of sugar cane, the number of refined sugar that will be produced is
200= 5
x= 1
cross multiply
5x= 200
x= 200/5
x= 40
The number of pounds of sugar cane required to produce 200 lb of refined sugar is
= 40 × 200
= 8,000
Hence 8000 pounds of sugar cane is required to produce 200 lb of refined sugars
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an equation of the line with a slope of 2 and y-intercept of 9
Answer:
y = 2x + 9
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 9
Step 2: Write linear equation
Slope-Intercept Form: y = 2x + 9
PLEASE HELP!!
What is the value of b in the equation below?
g-3.9-2- a^b
O -10
O -6
09
O 16
p
Answer:
-10
Step-by-step explanation:
So its A :}
You plan to invest $100 per month for the next 10 years into an account that pays 8% with daily compounding. How much will you have in the account in 10 years?
Answer:
FV= $18,213.18
Step-by-step explanation:
First, we need to calculate the monthly real interest rate:
Daily interest rate= 0.08/360= 0.00022
Monthly interest rate= (1.00022^30) - 1
Monthly interest rate= 0.0066
Assuming a year of 360 days, and months of 30 days.
Now, we can determine the future value of the investment:
Monthly deposit= $100
Number of periods= 10*12= 120
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.0066^120) - 1]} / 0.0066
FV= $18,213.18
how to change percentage to degree
Answer:
A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percentage into a decimal. If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.
Step-by-step explanation:
PLz answer this Question
Find the value of the missing angle
Answer:
130 degrees.... I am pretty sure
Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?
Step-by-step explanation:
Answer:
130 degrees
Step-by-step explanation:
I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.
Hope this helps you :)