Sheldon works at the coffee shop every Tuesday and he gets paid $15, plus $0.25 for each cup of coffee he sells. This weekend, he wants to make enough money to purchase a kayak, to go out on the lake. He knows that the kayak will cost $50.75 including tax. How many cups will he need to sell to earn enough to buy the kayak?
(please and thank you! -w- )
Answer:
Sheldon has to sell at least 143 cups of coffee to purchase the kayak.
Step-by-step explanation:
First write an expression:
15 + 0.25x ≥ 50.75
Next use inverse operations:
15 + 0.25x - 15 ≥ 50.75 - 15
0.25x ≥ 35.75
0.25x ÷ 0.25 ≥ 35.75 ÷ 0.25
x ≥ 143
Sheldon has to sell at least 143 cups of coffee to purchase the kayak.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
143 cups
Step-by-step explanation:
Sheldon gets a flat $15, as well as 25 cents for each cup of coffee made.
He needs $50.75 to buy a Kayak.
Set the equation. Let the amount of cups of coffee = c.
0.25c + 15 = 50.75
Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 15 from both sides of the equation:
0.25c + 15 = 50.75
0.25c + 15 (-15) = 50.75 (-15)
0.25c = 50.75 - 15
0.25c = 35.75
Next, divide 0.25 from both sides of the equation:
(0.25c)/0.25 = (35.75)/0.25
c = 35.75/0.25
c = 143
Sheldon will need to sell 143 cups of coffee.
~
Given the function f(x) =x+3 witch of the following represents f-1(x)?
Answer:
[tex]f^{-1}[/tex](x) = x - 3
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = x + 3 (subtract 3 from both sides )
y - 3 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = x - 3
Find the equation of the line. Use exact numbers
Answer:
y = 3/4x -2
Step-by-step explanation:
Rise 3, run 4. Slope 3/4. Y intercept at -2.
Does this sequence converge or diverge? \left\{\frac{10n-6}{2n-3}\right\} { 2n−3 10n−6 }
Answer:
The sequence converges
Step-by-step explanation:
Given the sequence Un = 10n-6/2n-3
To determine whether the sequence converges or diverges, we will have to take the limit of the sequence as n goes large.
[tex]\lim_{n \to \infty} \left\{\frac{10n-6}{2n-3}\right}\\[/tex]
Divide through by n
[tex]= \lim_{n \to \infty} \left\{\frac{10n/n-6/n}{2n/n-3/n}\right}\\= \lim_{n \to \infty} \left\{\frac{10-6/n}{2-3/n}\right}\\= \left\{\frac{10-6/\infty}{2-3/\infty}\right}\\= \frac{10-0}{2-0}\\= 10/2\\= 5[/tex]
Since the limit of the sequence gives a finite value, hence the sequence converges
Suppose that you want to model the height of a ider on a Feris wheel as a function of time, in minutes. If the rider is
at the bottom of the Ferris wheel at t = 0 minutes, which of the following would be easiest to use?
A) the cosine function unreflected
B) the sine function unreflected
C) the cosine function reflected about its midline
D) the sine function reflected about its midline
Using trigonometric functions, it is found that the correct option regarding the appropriate function is:
B) the sine function unreflected
What are the trigonometric functions?The most famous are the sine and cosine, which give information about the angles.
In this problem, the rider is at the bottom of the Ferris wheel at t = 0, hence f(0) = 0, which is true for the sine function, which means that option B is correct.
More can be learned about trigonometric functions at https://brainly.com/question/24680641
Answer:
Answer is C, the cosine function reflected about its midline
Step-by-step explanation:
brainly won’t register this
Answer:
The simplified form is [tex]x^{\frac{2}{3} }[/tex]
Step-by-step explanation:
So before solving this question we need to know that.....
[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]
(proof)
[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]
[tex](\sqrt[6]{x}) ^{6}[/tex] = [tex](x^{\frac{1}{6} })^{6}[/tex]
x = x
So now we can rewrite the question as.........
[tex](\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }[/tex]
Answer:
A
Step-by-step explanation:
x^2/3
Plis help me on how much you can thank you first to reply gets brainless
Answer:
yeet
Step-by-step explanation:
yeet yeet yeet yeet yeet yeet yeet yeet yeet eet yett yeet yeet yeet yeet yeet yeet yeet yeet yeety
Plz help me I really need it
Answer:
i think [after solving] that it is option B and C
Step-by-step explanation:
You roll 2 dice. If the sum of the dice is: 2, 3, 4 you win $20. If the sum is 5, 6, 7, 8 you win $10. If the sum is 9, 10, 11 you lose $20. If the sum is 12 you lose $25. It costs $5 to play. Create a probability distribution of the random variable, "winnings" including the cost to play, for this game. What is the expected value of the "winnings" for this game? What is the variance for the "winnings" for this game? What is the standard deviation? Is this game a "fair game"? Why or why not?
Answer:
1) The expected value of the "winnings" is $(-0.97[tex]\overline 2[/tex])
2) The variance for the "winnings" is $0.57966
3) The standard deviation for the "winnings" is$0.761354
4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]
Step-by-step explanation:
1) The probability of having a sum of 2 = 1/6×1/6 = 1/36
The probability of having a sum of 3 = 1/6×1/6 = 1/36
The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12
The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12
The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12
The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 11 = 1/6×1/6 = 1/36
The probability of having a sum of 12 = 1/6×1/6 = 1/36
The values are;
For 2, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]
For 3, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]
For 4, we have 1/18 × (20 - 5) = 0.8[tex]\overline 3[/tex]
For 5, we have 1/18 × (10 - 5) = 0.2[tex]\overline 7[/tex]
For 6, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]
For 7, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]
For 8, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]
For 9, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]
For 10, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]
For 11, we have 1/36 × (-20 - 5) = -0.69[tex]\overline 4[/tex]
For 12, we have 1/36 × (-25 - 5) = -0.69[tex]\overline 4[/tex]
The expected value of the winnings is given as follows;
0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + -1.3[tex]\overline 8[/tex] -1.3 - 0.69[tex]\overline 4[/tex] - 0.69[tex]\overline 4[/tex] = -0.97[tex]\overline 2[/tex]
Therefore, the expected value = $-0.97[tex]\overline 2[/tex], which is one is expected to lose $0.97[tex]\overline 2[/tex]
2) Using Microsoft Excel, we have;
The variance for the "winnings", σ² = $0.57966
3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354
4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]
A coin is flipped three times.
What is the number of possible outcomes?
2
4
8
16
Answer:
8
Step-by-step explanation:
2^3 is 8
(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
explain your answer
Answer:
2564
Step-by-step explanation:
Andre draws this tape diagram for 3 divided by 23:
Andre says that 3 divided by 23 = 413 because there are 4 groups of 23 and 13 left. Do you agree with
What is the product?
(
21 (4)
2A4
274
a ticket originally cost $20, but it's price decreases by 20%
ANSWER ASAP MARKING BRAINLIEST HELPPP
Answer:
$16
Step-by-step explanation:
20% is the same as 0.2 in decimal form, since its decreasing you multiply $20 by 0.8 to get 16. If it was increasing, it would be 20 times 1.2
Answer:
$16.00
Step-by-step explanation:
This is the answer because:
1) Since the price decreases by 20%, we have to first figure out what 20% of $20 is:
20% of $20 = 4
2) Next, we just have to subtract 4 from 20 so we can find out how much the cost is:
$20.00 - 4 = $16.00
Therefore, the answer is $16.00.
Hope this helps! :D
What is 0.3 of 14? PLEASE HELP
Multiply 14 by 0.3
14 x 0.3 = 4.2
The answer is 4.2
Answer:
4.2 is the answer
Step-by-step explanation:
Remember, in math, 'of ' always mean multiplication!!!
Using long division to solve this SHOWING WORK: (-10n-26n^2+n^4-25) / (n+5)
ill give brainest i need help please
Answer:
[tex]5(x - 2) = \frac{15x + 6}{3} - 12 \\ 5(x - 2) = \frac{15x + 6 - 36}{3} \\ 5(x - 2) = \frac{15x - 30}{3} \\ 5(x - 2) = \frac{15(x - 2)}{3} \\ 15(x - 2) = 15(x - 2)[/tex]
No solution, as value of x doesn't exist.Answer:
All real numbers
Step-by-step explanation:
Given
5(x - 2) = [tex]\frac{15x+6}{3}[/tex] - 12
Multiply through by 3 to clear the fraction
15(x - 2) = 15x + 6 - 36 ← distribute left side and simplify
15x - 30 = 15x - 30
Since both sides are equal then any real value of x will be a solution.
Thus the solution is All real numbers
VERY EASY HALP PLEASE
Solve C= AB+ D for B
solve the following equation for x (linear equation):
[tex]\frac{b-cx}{a} + \frac{a-cx}{b} + 2 = 0[/tex]
Answer:
[tex]\displaystyle x=\frac{a+b}{c}[/tex]
Step-by-step explanation:
Equations
Solve the equation:
[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}+2=0[/tex]
Subtracting 2:
[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}=-2[/tex]
Multiply by ab to eliminate denominators:
[tex]\displaystyle ab\frac{b-cx}{a}+ab\frac{a-cx}{b}=-2ab[/tex]
Simplifying:
[tex]b(b-cx)+a(a-cx)=-2ab[/tex]
Operating:
[tex]b^2-bcx+a^2-acx=-2ab[/tex]
Subtracting [tex]b^2+a^2[/tex]
[tex]-bcx-acx=-2ab-b^2-a^2[/tex]
Multiplying by -1:
[tex]bcx+acx=2ab+b^2+a^2[/tex]
Factoring:
[tex]c(b+a)x=2ab-b^2+a^2[/tex]
The right side of the equation is the square of a+b:
[tex]c(b+a)x=(a+b)^2[/tex]
Simplifying (for a ≠ -b):
[tex]cx=(a+b)[/tex]
Dividing by c:
[tex]\boxed{\displaystyle x=\frac{a+b}{c}}[/tex]
Solve the system of linear equations by graphing.
y=-42 +3
40 - 2y = 6
Answer:
its a i did it on egn
Step-by-step explanation:
what is the value of k ?
Explain what the y- intercept means in this context
Answer: they started at 360 feet
The y-intercept means the height above the canyon floor is 360 feet at
t = 0.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The y-intercept in a graph is the point on the y-axis.
This point is when x = 0.
So,
From the given context it means,
The height above the canyon floor is 360 feet at t = 0.
Thus,
The y-intercept means the height above the canyon floor is 360 feet at
t = 0.
Learn more about coordinates here:
https://brainly.com/question/13118993
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If you have the problem 752 divided by 3, what is the first step? Please help❤️
Thomas has a train collection. He was given 1 train as a gift, and he adds 2 trains per year. Which of the graphs below represents Thomas's
train collection?
Answer:
Graph A
Step-by-step explanation:
The line starts at 1 since that is what he began with. Then it grows by two because every year he gets too more.
Answer:
I am pretty sure the answer would be Option B.
Step-by-step explanation:
If you look on the graph, Option B is the one that makes the most sense because it goes up by a ratio of 1:2 just like in the problem, 1 gift train + 2 trains per year.
Option A would not make sense because it goes up by the ratio of 1:3 and doesn't match up with the problem.
Note:
I hope this helps! :) Please correct me if I am wrong.
Given 7(x)=-3x+9 g(x)=3x+1 h(x) =3x+3
Answer:
B.) 12
Step-by-step explanation:
h(x) = 3^x + 3
h(2) = 3^2 + 3
h(2) = 9 + 3
h(2) = 12
17. What is the equation of the graph?
16. What is the equation of the graph?
**Please help**
Answer:
Step-by-step explanation:
16.) B. y = 3x + 2
17.) y = -2
(show in graph below) - -
|
V
Please help!
Thank you!
Answer:
[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ for \: points \: given \\ = \frac{11 - 7}{5 - 4} \\ = \frac{4}{1} \\ slope = 4[/tex]
Answer:
m = 4
Step-by-step explanation:
equation of point slope formulae
[tex]y = mx + c[/tex]
m = slope , c = y-intercept
1) find the slope
* use the two coordinates given to find the slope
slope formulae:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
i) (4,7)
x1 = 4
y1 = 7
ii) (5,11)
x2 = 5
y2 = 11
substitute the values into the formulae
[tex]m = \frac{11 - 7}{5 - 4} [/tex]
[tex]m = \frac{4}{1} [/tex]
[tex]m = 4[/tex]
the slope = 4
USLI5
3) Graph the quadratic function given in factored form and identify the key features. Include at least 5 points on your
graph.
y=(- 3)(x + 1)
Zeros:
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
U3LT4
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
3. Graph the given quadratic function in the factored form as shown below.
4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
The given quadratic function in factored form is y = (x - 3)(x + 1).
Graph of the given quadratic function in the factored form as shown below.
Zeros: The zeros of the function occur when y = 0.
So the zeros of the function are x = 3 and x = -1.
Axis of Symmetry:
The axis of symmetry is x = (3 + (-1)) / 2 = 1.
Vertex:
The vertex is (1, -4).
Y-intercept:
The y-intercept is (0, -3).
Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).
Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.
Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
Using the given information, the vertex form equation can be written as:
[tex]y = a(x - (-1))^2 + 3[/tex]
To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:
-5 = a(1 - (-1))² + 3
-5 = a(2)² + 3
-5 = 4a + 3
-8 = 4a
a = -2
Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:
y = -2(x + 1)² + 3
Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
Learn more about quadratic function here:
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Tyler is simplifying the expression 6−2x+5+4x. Here is his work: 6−2x+5+4x (6−2)x+(5+4)x 4x+9x 13x Tyler's work is incorrect. Explain the error he made. Simplify the expression 6−2x+5+4x.
Answer:
step 2
Step-by-step explanation:
he was not supposed to multiply by x
he was supposed to combine like terms
add -2x and 4x and add 6 and 5
Determine whether each survey question is biased or unbiased. If biased explain your reasoning. How many cars does your Family own?
Answer:
Biased
Step-by-step explanation:
I thing this question is a little bias because it could imply that the more cars your family owns, the richer you are. There could be some other instances where this is not the case, but overall this could be taken as bias.