It takes 1 ticket to ride the Ferris wheel at an amusement park. The amusement park earns $144 for each Ferris wheel ride if the cars are full. The Ferris wheel seats 48 people. Write an equation that can be used to determine the cost (c) for 1 ticket.
Answer:
It would cost 3 dollars.
Answer:
3 dollars
Step-by-step explanation:
16. Which is greater, 4^-2 or
2^-4? How do you know?
Those are exponents.
Answer:
Both are equal to [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
If the exponent is negative we can turn it into a fraction and make it positive.
This means the number goes to the denominator and the numerator becomes one. Therefore the following.
[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]
[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]
In the given function y = 2x2-8x, when you factor out a, what is left inside the
parentheses?
Answer:
[tex]y = {x}^{2} - 4x[/tex]
SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answer:
4x² - 16.
Step-by-step explanation:
(2x-4)² =?
(2x-4)² = (2x)² - (4)²
= 4x² - 16.
Answer:
x = 2
Step-by-step explanation:
To solve , equate to zero, that is
(2x - 4)² = 0, so
2x - 4 = 0 ( add 4 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
What is the original price of the tennis racquet?
A drawing of a tennis racquet with a tag for sale labeled “30 percent off. Now 21 dollars.”
The original price is $
The original price of the racket is $30
Markup and discount priceLet the original price be x
If there is 30% off the original price, then the new price will be 0.7x
If the price of tennis racquet is now $21, hence;
0.7x = 21
Divide both sides by 0.7
0.7x/0.7 = 21/0.7
x = 21/0.7
x = $30
Hence the original price of the racket is $30
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At the beginning of the year, the number of books owned by a library was 10,000. Since then, it has grown by 1% each month.
Which expressions represent the number of books, in thousands, owned by the library 5 years later if it continues to grow at that rate?
Answer:
y = 10(1.01)^60
Step-by-step explanation:
The general equation of exponential growth is
y = ab^x
b has to do with the rate of growth.
b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.
Now we have
y = a(1.01)^x
a is the initial value, so now we have
y = 10000(1.01)^x
where y is the number of books after x months
Since you need the number of books after 5 years, we must convert 5 years into months.
5 years * (12 months)/year = 60 months
The problem wants the expression in thousands of books, so we divide the initial value by 1000.
Answer: y = 10(1.01)^60
Expression representing the number of books after 5 years,
[tex]A(60)=10000(1.01)^{60}[/tex]
Exponential growth: Exponential growth function is given by,[tex]A(t)=A_0(1+r)^t[/tex]
Here, [tex]A(t)=[/tex] Final amount
[tex]A_0=[/tex] Initial amount
[tex]r=[/tex] Growth rate
[tex]t=[/tex] Duration or time
Given in the question,
Initial number of books = 10000 Growth rate = 1% Duration = 5 years ≈ 60 monthsSubstitute these values in the expression,
[tex]A(t)=A_0(1+r)^t[/tex]
[tex]A(60)=10000(1+0.01)^{60}[/tex]
Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]
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what is the slope of the graph
Answer:
1 over 4
Step-by-step explanation:
if u do rise over run it will be 1 over 4 as well
Step-by-step explanation:
x=20 y =5
y=mx+b
b=0
5=20m
m=5/20=0.25
the slope is 0.25
please help fast ill give brainlist and 5 stars
Answer:
i think its c
Step-by-step explanation:
Answer: the answer is c
Step-by-step explanation:
3-r/8=-9/2 How do you solve this?
Answer:
r=60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
3-r/8=-9/2
r/8=3-(-9/2)
r/8=3+9/2
r/8=6/2+9/2
r/8=15/2
r=(15/2)*(8/1)
r=120/2
r=60
Solve the system by substitution
y=-6x
-2x-7y=40
Answer:
x=1, y=-6. (1, -6).
Step-by-step explanation:
y=-6x
-2x-7y=40
------------------
-2x-7(-6x)=40
-2x+42x=40
40x=40
x=40/40
x=1
y=-6(1)=-6
1
1
Constance can decorate 2 ornaments in 4 hour.
Part A: How many ornaments, per hour, can Constance decorate? Explain your
answer and show your work.
Your answer
This is a required question
Answer:
1/2 ornament in an hour
Step-by-step explanation:
Given
[tex]Orna\ ments = 2[/tex]
[tex]Time = 4[/tex]
Required
Determine the ornaments per hour
This question implies that we calculate the unit rate.
[tex]Unit\ Rate = \frac{Orna\ ments}{Time}[/tex]
Substitute values for Time and number of ornaments
[tex]Unit\ Rate = \frac{2}{4}[/tex]
[tex]Unit\ Rate = \frac{1}{2}[/tex]
This implies that Constance can decorate 1/2 ornaments in an hour
10. A line with a negative slope and a negative
y-intercept is graphed on a coordinate
plane. Which quadrant will the line not pass
through? Justify your response.
Answer:
The line will not pass through the first quadrant.
Step-by-step explanation:
Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.
Mixture Problem
1. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?
Answer:
Amount of active ingredient is 0.04(8+x)= 0.32+0.4x
---------------
EQUATION:
active ingre. + active ingre. = active ingre
0.48 + 0 = 0.32 + 0.04x
0.16 = 0.04x
x=4ML (amount of water that must be added)
The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
8 mL of 6% saline solution to reduce the concentration to 4%.
Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.
The amount of active ingredients is
0.04(8 + x) = 0.32 + 0.4x
Active ingredients + active ingredients = active ingredients
0.48 + 0 = 0.32 + 0.04x
0.16 = 0.04x
x=4 ml; the amount of water that must be added
Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.
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Estimate 8 / 738.4 .
Answer:
0.01
Step-by-step explanation:
the answer is 0.010834 so I would round that to 0.01
Explain how solving an equation with variables on both sides of the equation is different than solving an equation with a variable on only one side. Please use an example of each to show your work. You may use these examples or make up your own: 6x -9 = 15 16x - 20 = 44+ 5x show your work and explain your steps and why.
Answer:
See explanations below
Step-by-step explanation:
Given the equation
6x-9 = 15
Add 9 to both sides
6x-9+9 = 15+9
6x = 24
x = 24/6
x = 4
For the equation
16x - 20 = 44+ 5x
Since we have x variables on both sides, we will collect the like terms
16x - 5x = 44+20
11x = 64
Divide both sides by 11
11x/11 = 64/11
x = 64/11
x = 5.82
Hence the value of x is 5.82
_-12=0
(Negative 12^)
Answer:
-12
Step-by-step explanation:
as the poem goes,
if you are bad at being good then you are bad
if you are good at being good then you are good
if you are bad at being bad then you are good
if you are good at being bad then you are good
take the third line into account
-12 - -12 is the same as -12 + 12 = 0
R=d/t if you are solving for d
Answer:
If you were solving for d it would be
Step-by-step explanation:
D=t*r
PLS IT FOR MY ECONOMICS CLASS
Answer:
7. Hourly wage: 10 hr 2, 20 : 4, 40: 6, 60: 8, 80: 10, 100: 12, 120: 14, 140: 16, 160: 18, 180: 20, 200It should just be a negative slopec) Use your graph to find estimates of
the solutions to the equation
x? – X-2 = 3
Answer:
x = -1.791 and x = 2.791
Step-by-step explanation:
To solve this problem, we have to plot this graph using tool so we also know which of the lines is right.
The solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.
Quadratic EquationA given quadratic equation is an equation that has the highest degree of 2. Further more, when plotted on a graph, it has a parabolic shape.
The given equation is
[tex]3= x^2 - x - 2\\y = x^2 - x -5[/tex]
Let's proceed to plot this graph and we would see the solutions at the point in which the lines curves.
Using that, the solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.
The solution are
-1.7912.791Learn more on quadratic equation here;
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Write 23/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
2.55555556
Step-by-step explanation:
A rectangular box has a width of x meters, length of x + 3 meters, and
a height of x 2 meters. Write an expression for its volume.
Answer:
x*(x+3)*(x^2)
Step-by-step explanation:
Width: x meters, length: x + 3 meters, height x^2 meters
It's an expression, so there's no simplifying needed.
x(x+3)(x^2)
But if I'm wrong and it's supposed to be simplified, Read the rest.
First, multiply x by x + 3
x(x + 3)
x^2 + 3x
Now, multiply x^2 + 3x by x^2
(x^2)(x^2 + 3x)
x^4 + 3x^3
Later, someone wants to use the data to find the amount of water at times before the sensor started. What should the sensor have read at the time -7 minutes?
it 4.56 that how i know because
Which of the following are exterior angles? Check all that apply.
Given the side measurements, classify the triangle as acute, obtuse, right, or not a triangle. 8, 12, 14
Answer: It's an acute triangle.
Step-by-step explanation: I have the same problem, and I tried each choice, acute was the correct answer
The triangle with side lengths 8, 12, 14 is an obtuse triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.
8² + 12² = 64 + 144 = 208
14² = 196
Since 208 is greater than 196, we can see that the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.
Since the longest side is 14 and the sum of the squares of the two shorter sides is less than the square of the longest side, we can conclude that the triangle is obtuse.
Therefore, the triangle with side lengths 8, 12, 14 is an obtuse triangle.
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what is [tex]\sqrt{x} -7=\sqrt{x -7[/tex]
Mia is playing a video game she earns 30 points when she completes level 1. Each time she completes a level, she earns twice as many points as the previous level. How many points for Monica earn when she competes level 8? enter your answer in the box.
Find the product of (x − 3)2.
x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9
Answer:
The answer is number 3
Step-by-step explanation:
[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]
Answer:
answer- 3
Step-by-step explanation:
9(x−3)
2
=x
2
−6x+9
Help with number 6? Rlly dont get it.
Answer:
12s^2 - s - 20
Step-by-step explanation:
It's simplest form is when it's fully expanded.
To expand: (3s-4)(4s+5)
(3s * 4s) + (3s * 5) + (-4 * 4s) + (-4 * 5)
= 12s^2 + 15s -16s -20
= 12s^2 - s - 20
Plz I might fail if I don’t get this done. PLZZZ Help
Answer:
f(10) = -130
Step-by-step explanation:
f(x) = -x² - 3x
f(10) = -(10)² - 3(10)
f(10) = -100 - 30
f(10) = -130
A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600