Answers
Related Questions
a resort hotel charges 12.5% in taxes. Additionally they charge a $25 resort fee each day. (The resort fee is not subject to sales tax.)
The following functions represents the situation:
f (a) = 1.125a
g (b) = b + 25
a. Match the following to their description
1. ___ a A. The cost of the hotel room and sales tax, but without the resort fee
2. ___ b B. The cost of the hotel room without sales tax or the resort fee.
3. ___ f (a) C. The cost of the hotel room, with sales tax and the resort fee.
4. ___ g (b)
Answers
Answer:
We know that the hotel charges 12.5% in taxes (or 0.125 in decimal form).
Then if the initial cost of the hotel, without taxes, is a, the price with taxes will be:
f(a) = a + 0.125*a = 1.125*a
And the hotel also charges a fee of $25 for each day (that is not subject to taxes) then if the total cost, with taxes, is b, the actual cost will be:
g(b) = b + 25.
Then:
a = The cost of the hotel room without sales tax or the resort fee.
f(a) and b= The cost of the hotel room and sales tax, but without the resort fee
g(b) = The cost of the hotel room, with sales tax and the resort fee.
Examine this system of equations. What integer should the first equation be multiplied by so that when the two equations are added together, the x term is eliminated? StartFraction 1 Over 18 EndFraction + four-fifths y = 10 Negative five-sixths x minus three-fourths y = 3
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Answer:
Examine this system of equations. What integer should the second equation be multiplied by so that when the two equations are added together, the x term is eliminated?
Three-fourths x + StartFraction 1 Over 7 EndFraction y = 6
StartFraction 1 Over 8 EndFraction x minus three-fifths y = 16
✔5/6
Step-by-step explanation:
I just did the test and i got it correct
hope this helps
:)
Answer:
answer : 15
Step-by-step explanation:
The perimeter of a rectangle is 8(2x+1) inches. The length of the sides of the rectangle are 3x+4 inches and 4x+3 inches. Find the length of each side of the rectangle. (You will have two answers.)
Answers
Answer:
The lengths of the sides of the rectangle are 13 inches and 15 inches
Step-by-step explanation:
The perimeter of a rectangle
Given the two sides of a rectangle a and b. The perimeter of the rectangle is:
[tex]P=2(a+b)[/tex]
We are given the perimeter of a rectangle as:
[tex]P=8(2x+1)[/tex]
And each side has a length of 3x+4 and 4x+3. Calculating the perimeter:
[tex]P=2(3x+4+4x+3)=2(7x+7)[/tex]
We set up the equation:
[tex]8(2x+1)=2(7x+7)[/tex]
Dividing by 2:
[tex]4(2x+1)=7x+7[/tex]
Operating:
[tex]8x+4=7x+7[/tex]
Subtracting 7x:
[tex]x+4=7[/tex]
Subtracting 4:
x=3
The length of each side is:
3x+4=3*3+4=13
4x+3=4*3+3=15
The lengths of the sides of the rectangle are 13 inches and 15 inches
Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or downward, find the y-intercept, and sketch the graph. f(x) = -x- 8x-7
Answers
The answer is : (-4, 9)
The given function is:
f(x) = -x^2 - 8x - 7
To find the vertex of the parabola, we need to complete the square as follows:
f(x) = -(x^2 + 8x) - 7
= -(x^2 + 8x + 16) + 16 - 7
= -(x + 4)^2 + 9
Hence, the vertex is (-4, 9).
Since the coefficient of x^2 is negative, the parabola opens downward.
To find the y-intercept, we set x = 0:
f(0) = -0^2 - 8(0) - 7 = -7
Therefore, the y-intercept is (0, -7).
To sketch the graph, we plot the vertex (-4, 9) and the y-intercept (0, -7). Since the parabola opens downward, it will have a maximum value at the vertex. We can also plot a few other points by choosing values of x and calculating the corresponding values of y.
Therefore, the vertex is (-4, 9).
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the product of 3 and a number divided by 9
Answers
Answer:
3x
--------
9
Step-by-step explanation:
The solution of a set of four linear inequalities has the shape of a parallelogram. One of the inequalities is Y Z 0. What four inequalities could form the system?
A. y≥0, x≥0, x + y ≤ 6, x≤2
B. y ≥ 0,y ≥0, y ≥6, x ≤ 2
C. y ≥ 0, x ≥ 0, x ≤ 6, y ≤ 2
D. y ≥ 0, x ≥ 0, x ≤ -6, y ≤ 2
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Answer:C
Step-by-step explanation:
an NFL team kicker misses 2 out of every 11 field goals if he missed 8 field goals out of season how many did he attempt
Answers
Answer:
The answer is 44 field goals were attempted. The original ratio was 2/11 and in the second ratio they gave you the value of the field goals made which is 8/x.
Step-by-step explanation:
Answer:
8 out of every 44 field goals.
Step-by-step explanation:
2:11, = 4:22, = 6:33, = 8:44.
You are the owner of an ice cream shop. You charge $2 for a single scoop cone and $3 for a double scoop cone. Yesterday, you made $206 and sold 86 cones total. How many of each cone did you sell? Write a system of linear equations and solve.
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Answer:
las vidas una carnival
Step-by-step explanation:
A shirt is discounted by 20%. The discounted prices is $32. What was the original price of the shirt?
Answers
Answer:
0
Step-by-step explanation:
Factor the perfect square trinomials
24. 9x^2 + 42x + 49
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Answer:
(3x+7)^2
Step-by-step explanation:
Help me I'm stuck on this problem!!!! 10 points
12y² + 5x - 2 = ?
Answers
Answer:
5x^2 + 17xy - 12y^2
5x^2 + 5xy + 12xy - 12y^2
5x (x - y ) + 12 y ( x - y )
(5x + 12y ) (x-y).
Step-by-step explanation:
order the numbers from least to greatest. -1/20, -5/8, 0, -1, -3/4
Answers
Answer:
-1, -3/4, -5/8, -1/20, 0
Step-by-step explanation:
Find the area of each figure.
Answers
2.) 44.2in
hope this helped!
Answer:
17. is 31.82 18. is 44.1
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
f(x)=2x-5, evaluate f(5)
Answers
Answer:
F(5) = 5
Step-by-step explanation:
F(5) = 2(5) - 5
F(5) = 10 - 5
F(5) = 5
Which of the following definitions, are Geometric concepts that exist in 2 dimensions?
A. Ray
B. Plane
C. Angle
D. Perpendicular Lines
E. Point
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any ideas on what this is (i know its either a or d)
Answers
Answer:
c
Because...
It has the same slope.
Which sentence explains the correct first step in the solution of this equation?
2(−4)=12
Answers
Answer:
Answer is choice C. We distribute the outer 2 into each of the inner terms (x and -4). Choice D is a trick answer because a lot of the time you might forget to multiply the 2 by the -4 inside the parenthesis (common mistake).
2 times x = 2x
2 times -4 = -8
2 times (x-4) = 2x-8
Side Note: Another path to solve this equation is to divide both sides by 2, then to add 4 to both sides.
PLEASE HELP WILL GIVE BRAINLIEST
SIMPLE NUMBER LINE QUESTION
Answers
A box holds a white button, a brown button and a black button. What is the probability of picking a white button then without replacing it, picking a brown button on the second pick?(decimal)
Answers
Answer:
1/5
In decimal = 0.2
Step-by-step explanation:
A box holds a white button, a brown button and a black button.
Hence:
Number of white button= 1
Number of brown button= 1
Number of black button= 1
Total number of buttons = 3
The probability of picking a white button then without replacing it, picking a brown button on the second pick is :
= P(White) × P(Brown) [ without replacement]
= 1/3 × 1/2
= 1/5
In decimal = 0.2
Pleasee help I'm stuck on this question! At Cheng's Bike Rentals, it costs $23 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar? if necessary round to the nesrest hundredth.
Answers
Answer:
[tex]\huge\boxed{\text{0.17 hours}}[/tex]
Step-by-step explanation:
We can create two ratios to find how long you can use a bike for one dollar.
Let's set up a ratio in the form [tex]\frac{cost}{hours}[/tex]
We know it costs $23 to ride for 4 hours, so we can make the fraction [tex]\frac{23}{4}[/tex].
We also know that for $1, we'll have some unknown time for the bike. We can represent this as [tex]\frac{1}{x}[/tex].
Since the constant of proportionality has to be the same, we can set these two ratios equal to each other.
[tex]\frac{23}{4}=\frac{1}{x}[/tex]
We can now solve for x by cross multiplying.
[tex]1 \cdot 4 = 4\\\\4 \div 32 \approx 0.17[/tex]
So $1 will get you around 0.17 hours of bike time.
Hope this helped!
Answer:
0.17
Step-by-step explanation:
We can create two ratios to find how long you can use a bike for one dollar.
Let's set up a ratio in the form
We know it costs $23 to ride for 4 hours, so we can make the fraction .
We also know that for $1, we'll have some unknown time for the bike. We can represent this as .
Since the constant of proportionality has to be the same, we can set these two ratios equal to each other.
We can now solve for x by cross multiplying.
So $1 will get you around 0.17 hours of bike time.
have a blessed day
7-7+16x-12x-6+x=12x-13x-12
Answers
Answer:
x = −1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
7 - 7 + 16x - 12x - 6 + x = 12x - 13x - 12
Combine like terms
−6 + 5x = -x - 12
Add x to both sides
6x -6 = -12
Add -6 to both sides
6x = -6
Divide 6 to both sides
6x/6 = -6/6
x = -1
Hope this helps and pls do mark me brainliest if you can:)
determine if 0.868668666866668666668... is rational or irrational and give a reason for your answer.
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What x value solves the equation?
3x – 5 = 1
x=
Answers
Answer:
x = 2
Step-by-step explanation:
3x – 5 = 1
+ 5 +5
3x = 6
x = 6 ÷ 3
x = 2
Answer:
2
Step-by-step explanation:
Step 1:
3x - 5 = 1 Equation
Step 2:
3x = 6 Add 5 on both sides
Step 3:
x = 6 ÷ 3 Divide
Answer:
x = 2
Hope This Helps :)
Product of 1.25 (40)
Answers
Answer:
50
Step-by-step explanation:
1.25 (40) = 50
Kristen deposited $9,000 in an account that has an annual interest rate at.  4.1% compounded monthly .how much interest will she earn at the end of one month ?show all work
Answers
Answer:
$9,030.75
Step-by-step explanation:
S.I = P×R×T ÷ 100
=9000 (1×4.1%×)
Simplify (4-5y)-(2y-16) DO NOT SOLVE FOR Y!!! JUST SIMPLIFY
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Mike owes his friend $4. Each day, Mike earns $2.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and yvalues represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the x-intercept mean? What does the y-intercept mean?
(d) Does the situation involve direct variation or not? If it does, justify your answer. If it does not, describe
how the situation would need to change in order for y to directly vary with x. Then, write a direct
variation equation based upon the changed situation.
please help!!! :(
Answers
Answer:
a)2x=4
x=days
b)
c) x means how much money he has and y is how many days
Step-by-step explanation:
In math class, the girl to boy ratio is 8 to 6. if there are 24 girls in the class how many boys are there?
Answers
Answer:
18
Step-by-step explanation:
We know that the girl to boy ratio is 8:6 and we are told that there are 24 girls.
We multiply 8 by 3 to give us 24, so if we multiply by 3 on one side we must multiply by 3 on the other side.
This gives us a final answer of 24:18, so there are 18 boys in the class.
What’s the domain and range
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determine the range of the graph shown
A). [0,8]
B).(0,8)
C).[0,13]
D).[0,12]
Answers
Explanation:
The lowest point occurs when y = 0.
The highest point occurs when y = 12.
The range is therefore [tex]0 \le y \le 12[/tex] which converts to [tex][0,12][/tex] which is interval notation. The square brackets tell us to include the endpoints. So we're saying that y can be anything between 0 and 12, including both endpoints.
The range is the set of all possible y outputs of a function.