The number of stays required for Jaden to have the same points in either hotel is 2. 11 stays
The number of points is 390 points
How to find the points ?Assuming that the number of stays is denoted as x, the number of total points from Hotel Wonderland is:
= 325 + 31 x
The points from Hotel Tropicana is:
= 344 + 22 x
The number of stays therefore, that would make the points in either hotel equal is:
325 + 31 x = 344 + 22 x
31 x - 22 x = 344 - 325
9 x = 19
x = 19 / 9
x = 2. 11 stays
The number of point Jaden will get is:
= 344 + 22 ( 2. 11)
= 390 points
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6.
5.
4.
3. Pat loves the mountains. He's never happier than when he's standing on top of a mountain, gazing out across nature's
The mountains bring Pat
Tiana
My Answer
Tiana wanted to throw her best friend, Maliyah, a surprise birthday party, so she pretended to forget Maliyah's birthday.
Maliyah was so mad! But when she realized Tiana had thrown her a party, Maliyah forgave her and said, "Girl, you really had
me fooled!"
My Answer
James' friends are
Monica was
My Answer
forgetting because
because
When James lost his job, his friends cooked a big dinner and brought it over to his house to try and cheer him up.
My Answer
My Reason
him because
because
My Reason
RRICULUM
When Monica applied to college, she was careful about every detail. She made sure that she had all the forms she n
and double-checked all the information. She made sure to meet every deadline.
My Reason
My Reason
Answer:
the mountains bring Pat joy because it is beautiful
only one I know
Step-by-step explanation:
:)
Find the correct result. 1 4=5 2 5=12 3 6=21 5 8=_________ if you're answer is wrong, upload it in your timeline
Answer:
45. Final answer
Step-by-step explanation:
The number is the product of the numbers 5 and 9 is 45. Then the sum of 5 and 8 will be 45.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
5 + 8 = ?
The pattern can be understood as
1 × (4 + 1) = 5
2 × (5 + 1) = 12
3 × (6 + 1) = 21
4 × (7 + 1) = 32
5 × (8 + 1) = 45
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[(xy + 5y) + (2x +10)]
1. Factor these values out of each group and then write down the equivalent algebraic expression
2. What is the common factor in the two terms
3. Use the distributive property to factor out this common factor and then express the polynomial as a product of 2 binomials
1.The equivalent algebraic expression becomes: y(x + 5) + 2(x + 5)
2.The common factor in the two terms is (x + 5). Both terms have (x + 5) as a factor.
3. The polynomial can be expressed as a product of two binomials: (x + 5)(y + 2)
Let's start by factoring out the common factors from each group:
From the first group (xy + 5y), we can factor out y, which gives us y(x + 5).
From the second group (2x + 10), we can factor out 2, which gives us 2(x + 5).
So, the equivalent algebraic expression becomes:
y(x + 5) + 2(x + 5)
The common factor in the two terms is (x + 5). Both terms have (x + 5) as a factor.
Now, using the distributive property, we can factor out (x + 5) from both terms:
y(x + 5) + 2(x + 5) = (x + 5)(y + 2)
The polynomial can be expressed as a product of two binomials: (x + 5)(y + 2).
In this factored form, we can see that we have two binomial expressions multiplied together. The first binomial (x + 5) represents the common factor, and the second binomial (y + 2) represents the remaining terms after factoring out the common factor.
Overall, the factoring process involved identifying the common factor, using the distributive property to factor it out, and expressing the polynomial as a product of two binomials. This factored form can be useful in further simplification, solving equations, or analyzing the polynomial's behavior
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What is the volume of the prism?
14 m3
24 m3
30 m3
44 m
Answer:
the answer is 24 m3
BALLOON The angle of depression from a hot air balloon to a person on the ground is 36°. When the person steps back 10 feet, the new angle of depression is 25°. If the person is 6 feet tall, how far above the ground is the hot air balloon to the nearest foot?
The distance of the jot air balloon to ground is 21.62 ft.
Here, we have,
In triangle ACB:
tan36° = x/y
x = y tan36°
In triangle ADB:
tan25° = x/y + 12
x = y+12 * tan25°
Therefore equating both equations gives:
y tan36° = y+12 * tan25°
y tan36° = y tan25° + 12tan25°
so, we get,
y = 21.50 ft
Therefore x = 21.50*tan(36) = 15.62 ft
The distance of the jot air balloon to ground = 15.62 + 6 = 21.62 ft
Hence, The distance of the jot air balloon to ground is 21.62 ft.
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BRAINLIEST EASY 6TH GRADE MATH HELP PLS (decimals)
look at the two sums shaded in the addition table.why are the sums the same
Answer:
LOOK
Step-by-step explanation:
Because of the communitve property of addtion which states that
x+y=y+x
In the addition table
5+9 is equal to 9+5 and both equal 14
how do i factor trinomials
Factoring a trinomial means expanding an equation into the product of two or more binomials/monomials. It is written as (x + m) (x + n). A trinomial can be factorized in many ways.
A trinomial is ax²+bx+c=0
where,
a= the x^2 term coefficient
b= the x term coefficient
c= the constant value
Quadratic Trinomial in One Variable
In one variable, the general form of the quadratic trinomial formula is ax²+ bx + c, where a, b, and c are constant terms and neither a, b, nor c is zero. If b² - 4ac > 0, then we can always factorize a quadratic trinomial for the values of a, b, and c. It is equivalent to ax2 + bx + c = a (x + h)(x + k), where h and k are real numbers. Let's look at an example of factoring a quadratic trinomial.
Example: Factorize: 3x² - 4x - 4
Solution:
Step 1:- First multiply the coefficient of x² and the constant term.
3 × -4 = -12
Step 2:- Break the middle term -4x such that on multiplying the resulting coefficient numbers, we get the result -12 (obtained from the first step).
-4x = -6x + 2x
-6 × 2 = -12
Step 3:- Rewrite the main equation by applying the change in the middle term.
3x² - 4x - 4 = 3x²- 6x + 2x - 4
Step 4:- Combine the first two terms and the last two terms, simplify the equation and take out any common numbers or expressions.
3x2² - 6x + 2x - 4 = 3x (x - 2) + 2(x - 2)
Step 5:- Again take (x - 2) common from both the terms.
3x (x - 2) + 2(x - 2) = (x - 2) (3x + 2)
Therefore, (x - 2) and (3x + 2) are the factors of 3x² - 4x - 4.
Quadratic Trinomial in Two Variable
There is no specific way to solve a quadratic trinomial in two variables. Let's take an example.
Example: Factorize: x² + 3xy + 2y²
Solution:
Step 1: These types of trinomials also follow the same rule as above, i.e., we need to break the middle term.
x² + 3xy + 2y² = x² + 2xy + xy + 2y²
Step 2: Simplify the equation and take out common numbers of expressions.
x² + 2xy + xy + 2y² = x (x + 2y) + y (x + 2y)
Step 3: Again take (x + 2y) common from both the terms.
x (x + 2y) + y (x + 2y) = (x + y) (x + 2y)
Therefore, (x + y) and (x + 2y) are the factors of x² + 3xy + 2y²
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I have multiple questions:
1: 2/3÷4/5
2: 2 1/9÷2/3
3: 3/5÷1 1/4
Answer:
1: 5/6
2: 3 1/6
3: 12/25
hope this helps!!
p.s
comment if wrong
3(x - 2) + 2 = 5(x - 3) + 9 por fa
Answer:
x = 1
Step-by-step explanation:
Given
3(x - 2) + 2 = 5(x - 3) + 9 ← distribute and simplify both sides
3x - 6 + 2 = 5x - 15 + 9
3x - 4 = 5x - 6 ( subtract 5x from both sides )
- 2x - 4 = - 6 ( add 4 to both sides )
- 2x = - 2 ( divide both sides by - 2 )
x = 1
Simplify only positive exponents
Simplifying 4ba^4 * ba^2 is 4b^2 * a^6
How to simplify the expressionTo simplify the expression 4ba^4 * ba^2,
By using the distributive property and simplifying each term.
First, we simplify 4ba^4:
4ba^4 = 4 * b * a^4
Next, we simplify ba^2:
ba^2 = b * a^2
By using the distributive property and simplifying the entire expression:
4ba^4 * ba^2 = 4 * b * a^4 * b * a^2
By simplifying further:
4 * b * a^4 * b * a^2 = 4b^2 * a^4 * a^2
Using the exponent rules, we can simplify further:
4b^2 * a^4 * a^2 = 4b^2 * a^6
Thus, the simplified expression is: 4b^2 * a^6
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What is the value of Y if Y = 6
Answer:
Its 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
y = 6 is a horizontal line on 6 on the y axis, therefore no matter the x value y will always equal 6
Hope this helps.
Si al doble de un número, se le adiciona 4 resulta 10 ¿Cuál es el número?
Answer:
3
Step-by-step explanation:
Hice una ecuación: 2x+4=10. Luego, reste 4 de cada lado para obtener: 2x = 6, lo que resulta en: x = 3.
Find the interest on the following loan. $6000 at 8% for 6 months Find the future value of the loan. Assume 365 days in a year. $9275 at 7.57% annual simple interest for 13 months
The future value of the loan is approximately $10,070.29.
To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time
Given:
Principal (P) = $6000
Rate (R) = 8% per year (0.08 as a decimal)
Time (T) = 6 months (0.5 years)
Plugging in the values into the formula:
Interest = $6000 × 0.08 × 0.5 = $240
Therefore, the interest on the loan is $240.
To find the future value of the loan, we can use the formula for simple interest:
Future Value = Principal + Interest
Given:
Principal (P) = $6000
Interest = $240
Plugging in the values into the formula:
Future Value = $6000 + $240 = $6240
Therefore, the future value of the loan is $6240.
For the second scenario:
Given:
Principal (P) = $9275
Rate (R) = 7.57% per year (0.0757 as a decimal)
Time (T) = 13 months (13/12 years)
To find the interest, we can use the same formula:
Interest = Principal × Rate × Time
Plugging in the values into the formula:
Interest = $9275 × 0.0757 × (13/12) = $795.29
Therefore, the interest on the loan is approximately $795.29.
To find the future value of the loan, we can use the same formula as before:
Future Value = Principal + Interest
Plugging in the values into the formula:
Future Value = $9275 + $795.29 = $10,070.29
Therefore, the future value of the loan is approximately $10,070.29.
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Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.
The reflection is written as:
\(g(x) = -3*(1.5)^x\)
And the graph can be seen below.
How to get the graph of the reflection?
Here we have the function:
\(f(x) = 3*(1.5)^x\)
A reflection across the x-axis is given by:
\(g(x) = -f(x).\)
Then, replacing the function f(x) by the actual equation:
\(g(x) = -3*(1.5)^x\)
The graph of the function g(x) can be seen below:
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Alice rode her bicycle the same number of miles every day for 17 days. She
rode a total of 68 miles during these 17 days. At this rate, how many miles did
Alice ride her bicycle in 1 day?
Answer: 4
Step-by-step explanation:
Alice ride her bicycle in 1 day for a distance of 4 miles.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Alice rode her bicycle the same number of miles every day for 17 days.
Let x be the number of miles that Alice rode for 1 day.
She rode x miles for 17 days.
Total number of miles that she rode in 17 days = 68 miles
So, we have,
17x = 68
Dividing both sides by 17,
x = 4
Hence the number of miles Alice rode in 1 day is 4 miles.
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Hussain and sam are sharing money in the ratio of 2:5 sam got 70p how much money were they sharing in total
Answer:
if 5=70
2=?
cross multiply=28
add 70+28=98
Step-by-step explanation:
Company XYZ closed at $100.76 per share with a P/E ratio of 1525 Answer the following questions. a. How much were earnings per share? b. Does the stock seem overpriced , underpriced, or about right given that the historical P/E ratio is 12-14? a. How much were earnings per share? $ Round to the nearest cent as needed. b. Based on the fact that the Company XYZ stock historically trades at an average P/E ratio of 12-14, does the stock price seem overpriced, underpriced, or about right?
The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.
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math trigonometry question
Hence, combine all the solutions we get,
\(x=\frac{\pi}{2} +2n\pi,x=\frac{3\pi}{2} +2\pi n ,\)\(x= sin^{-1} (\frac{1}{3} )+ 2\pi n ,x= sin^{-1 }(\frac{1}{3})+2\pi n\).
What are trigonometric identities?Trigonometric identities are equalities which involves trigonometric functions which are true for every value of variables that occur on both sides of the identities.
Given,\(3\sin \left(2x\right) = 2\cos \left(x\right)\)
\(3\sin \left(2x\right)-2\cos \left(x\right)=0\)
Using trigonometric identities, \(sin2x= 2sinx cosx\)
we get,\(-2\cos \left(x\right)+6\cos \left(x\right)\sin \left(x\right)=0\)
Taking \(2cos(x)\) as factor, we get,
⇒\(2cos(x)(3sin(x) -1)\)
⇒\(2cos(x) = 0 , (3sin(x) -1)=0\)
⇒\(cos (x)= 0\) for x= \(x=\frac{\pi}{2} +2n\pi,\frac{3\pi}{2} +2\pi n\) and
\((3sin(x) -1)=0 for x= sin^{-1} (\frac{1}{3} )+ 2\pi n , sin^{-1 }(\frac{1}{3})+2\pi n\)
Hence, combine all the solutions we get,
\(x=\frac{\pi}{2} +2n\pi,x=\frac{3\pi}{2} +2\pi n ,\)\(x= sin^{-1} (\frac{1}{3} )+ 2\pi n ,x= sin^{-1 }(\frac{1}{3})+2\pi n\).
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I need this fast pls
Answer:
17%
Step-by-step explanation:
As you may see, the area is 100, so as much there is colored in squares, that will be the percentage, so if you count them, you will see that there are 17, and that will be your answer.
Tell me if I'm wrong :)
Answer:
17%
Step-by-step explanation:
S 46
S
arch
7-4: MathXL for School: Practice & Problem Solving
Launch realize. 7-4: MathXL for School: Practice & Problem Solving (LMS graded)
Part 1 of 3
Ms. Fernandez is planning a scavenger hunt with her 70 science students. Each student will have an equal chance of selecting List A or List B to start their search. Use a
fair coin to run a simulation, with heads representing List A and tails List B. After 70 trials, the results are 37heads and 33 tails. How do the results compare to the
theoretical probabilities? Explain.
The theoretical probability for List A is%, and the theoretical probability for List B is
(Round to the nearest whole number as needed)
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The theoretical probability of choosing List A is less than the experimental probability of choosing List A.
The theoretical probability of choosing List B is greater than the experimental probability of choosing List A.
How do the experimental probabilities compare to the theoretical probabilities?For a fair coin, the theoretical probability of obtaining a head or tail is 0.5 or 50% each.
Therefore, theoretically, the probability of choosing List A is 0.5, and the probability of choosing List B is also 0.5.
The experimental probability of choosing List A or List B is obtained using the formula below:
Experimental probability of List A or B = number of heads / total number of trialsExperimental probability of List A = 37/70
Experimental probability of List A = 0.529
The experimental probability of choosing List B is:
Experimental probability of List B = 33/70
Experimental probability of List B = 0.471
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Analyze the proportion below and complete the instructions that follow.
2x+5 x-5
3
4
Solve the proportion for x
A. -7
B. -4
C-2
D. -1
Answer:
A
Step-by-step explanation:
Cookware companies have been using a chemical called C-8, which helps to create a nonstick coating to pans. However, the Environmental Protection Agency (EPA) recently claimed that the use of C-8 in the manufacturing of nonstick cookware should be discontinued because studies show it causes cancer.
Who might benefit financially the most from the EPA’s claim?
restaurants that use C-8-coated cookware
cookware manufacturers who make pans out of steel only
stores that sell C-8 nonstick cookware
individuals who use steel cookware at home
Answer:
cookware manufactures who make pans out of steel only
Step-by-step explanation:
why dose it not telling me the ansewr
Answer:
I don't know ::{
Step-by-step explanation:
Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2
Answer:3x-7=3(x-3)+2
3x-7=3x-9+2
3x-7=3x-7
Group like terms
3x-3x=-7+7
0=0
Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.
evaluate the expression 3x + 2(x-1) when x = 3
Answer:
\(3(3) + 2(3 - 1)\)
\(9 + (6 - 2)\)
\(9 + 4\)
\(13\)
Hope this is correct and helpful
HAVE A GOOD DAY!
A sample of phosphorus-32 has a half-life of 14.28 days.
If 55 g of this radioisotope remain unchanged after approximately 57 days, what was the mass of the original sample?
:
Using the radioactive decay formula: A = Ao*2^(-t/h), where
A = resulting amt after t time
Ao = initial amt (t=0)
t = time
h = half-life of substance
The mass of the original sample of phosphorus-32 was approximately 717.7 grams.
To solve this problem, we can use the radioactive decay formula:
A = Ao * 2^(-t/h)
Where:
A = resulting amount after time t
Ao = initial amount (at t=0)
t = time
h = half-life of the substance
In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.
After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:
55 = Ao * 2^(-57/14.28)
To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):
55 / 2^(-57/14.28) = Ao
Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.
Therefore, the initial mass, Ao, is:
Ao = 55 / 0.07666 ≈ 717.7 g
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PLZZ HELP ASAP AND SHOW WORK PLZ
Answer:
39 acute isoceleleellsllelsls
Step-by-step explanation:
The angles of triangle always add to 180 degrees. So that angle on the bottom already takes up 102 so 180-102=78 and there are 2 angles left so both of those are 39 because 78/2=39 and 39 is an acute angle since its less than 90 degrees so ya
Pls help last one
Which one is it
This system of equations has infinitely many solutions. Which
of the following statements is NOT true?
d = 5t + 2
2d = 4 + 10t
Answer:
The graphs of the equation are parallel lines.
Step-by-step explanation:
If the equations have infinitely many solutions that means that they are the exact same line one on top of the other. Parallel lines have no solution so that is false