The number of rooms reserved on a given day to a particular kind of guest undoubtedly effects the number of registrations on that day.
Total Rewards guests are individuals who have signed up for the reward program and win credits on all of their expenses, which they may later redeem for a complimentary stay, meal, etc. These guests are not numerous, thus they don't give the registration count any consideration.
Their number may be typical, with no check-ins on one day and a handful on another. Therefore, the number of check-ins is typically not significantly impacted by this kind of guest.
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The model represents an inequality. what is the solution set for the inequality?
Answer:
X > (greater than or equal to) -7
Step-by-step explanation:
3x + 15 > -6
3x > -21 (subtract 15 from both sides)
X > -7 (divide both sides by 3)
jose needs 20 1/3 feet of string for a project. he has lengths of string that are 9 1/2 feet, 3 1/4 feet and 4.5 feet long does jose have enough string for his project?
Answer: To check if Jose has enough string for his project, we need to add the lengths of the strings he has and compare it to the amount of string he needs for the project.
The length of the first string is 9 1/2 feet, the second string is 3 1/4 feet and the third string is 4.5 feet.
To add these lengths we need to convert them all to the same unit of measurement.
3 1/4 feet can be converted to 3.25 feet
So the total length of the strings Jose has is 9 1/2 + 3.25 + 4.5 = 17.25 feet
Jose needs 20 1/3 feet of string for his project, and he has 17.25 feet of string.
So he doesn't have enough string for his project.
Step-by-step explanation:
Simplify: 1/3(15y-6)
I NEED HELP PLZ!!!
Answer:
5y - 2
Step-by-step explanation:
1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2
Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!
1. Solve *
4(3x − 2) = 8(2x +3)
Your answel
This is a required question
Pleas help me solve
Answer:
x = -8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3x−2)=8(2x+3)
(4)(3x)+(4)(−2)=(8)(2x)+(8)(3)(Distribute)
12x+−8=16x+24
12x−8=16x+24
Step 2: Subtract 16x from both sides.
12x−8−16x=16x+24−16x
−4x−8=24
Step 3: Add 8 to both sides.
−4x−8+8=24+8
−4x=32
Step 4: Divide both sides by -4.
−4x
−4
=
32
−4
x=−8
Answer:
x=−8
What is 1/2 times 8..............
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
if it was normally 1, it would still be 8, but ur multiplying by 1/2, so it would be 4
write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
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For a fundraiser, a school club is selling raffle tickets for $2 each and healthy snacks for $1.50 each. What is the cost of:
Answer:
g) 10 tickets and 8 snacks = 32
h) 7 tickets and 5 snacks = 21.5
i) x tickets and y snacks = 53.5
Step-by-step explanation:
Each ticket cost $2 and the snacks, cost $1.50 so we multiply them by the number of tickets and snacks.
g) 10 tickets and 8 snacks = 32
Explanation: 10x2=20 , 8x1.50 = 32
h) 7 tickets and 5 snacks = 21.5
Explanation:7x2=14 , 5x1.50 = 21.5
i) x tickets and y snacks = 53.5
Explanation: x=17 and y=13
You add the number of tickets for (Question g,h - tickets, and snacks so
the total cost is $53.5
But the question says you do not use the unit $ so don´t use it.
Sorry If I got it wrong
Answer: G. $20 for tickets and $12 for snacks
H.$14 for tickets and $7.50 for snacks
I. Probably $2 for ticket and $1.50 for snack
Step-by-step explanation: G is $20 and $12 because you first have to multiply 10 tickets by $2 to get the cost of 10 tickets and then multiply $1.50 by 8 snacks to get the cost of 8 snacks.
H is $14 and $7.50 because you also have to multiply 7 tickets by $2 to get the cost of 7 tickets and multiply $1.50 by 5 snacks to get the cost of 5 snacks.
I is probably $2 and $1.50 because the variables x and y are unknown so you would have to put how much each raffle tickets and snacks cost for x and y. Hope this makes sense!
30% of 150? I can't work it it out
Answer:
30
Step-by-step explanation:
30/100 *150
30*15/10
450/10
45
Answer:
45
Step-by-step explanation:
150 x 0.3 = 45
30% = 0.3
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false
The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.
The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given that A has occurred.
It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.
In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.
In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.
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Water along the Mississippi River is rising at a rate of 38.2 cm/hr. The top of a dock in the river currently sits only 0.8 meters above the water. HOW LONG will it take the water to reach the top of the dock (100cm=1m) Express your final answer as a number, rounded to the nearest tenth (one decimal point) with units expressed in hr - no spaces EXAMPLE: 5.8hr HINT: YOU ARE LOOKING FOR A TIME. USE YOUR RATE TRIANGLE TO FIND THE FORMULA FOR TIME. IT ALSO MIGHT HELP FOR YOU TO DRAW THE SCENARIO OUT. The changing height of the river is your distance variable!
Answer:
2.1 hr
Step-by-step explanation:
[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr
How long would it take for money to double at 11% interest compounded quarterly?
Answer: Approximately 6.3876 years
When rounding to the nearest whole number, this rounds up to 7 years.
===============================================================
Work Shown:
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
A = amount of money after t yearsP = initial deposit amount or principalr = interest rate in decimal formn = compounding frequencyt = number of yearsIn this case, we know that,
A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.r = 0.11 n = 4, since we're compounding 4 times a yeart = unknown, what we want to solve forSo,
A = P*(1+r/n)^(n*t)
2P = P*(1+r/n)^(n*t)
2 = (1+r/n)^(n*t)
2 = (1+0.11/4)^(4*t)
2 = 1.0275^(4t)
Ln(2) = Ln(1.0275^(4t))
Ln(2) = 4t*Ln(1.0275)
4t*Ln(1.0275) = Ln(2)
t = Ln(2)/(4*Ln(1.0275))
t = 6.38758965414661
It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.
when filling a cylinder by weight, the scale set point should equal the
When filling a cylinder by weight, the scale set point should equal the desired weight of the contents.
Filling a cylinder by weight is a common practice in industries such as chemical and gas manufacturing. This method ensures accurate measurements and prevents overfilling or underfilling the cylinder. To fill a cylinder by weight, the empty cylinder is placed on a scale and tared to zero. The desired weight of the contents is then entered as the scale set point. The contents are added to the cylinder until the scale displays the set weight, at which point the filling process is complete. By setting the scale point to the desired weight, the operator can ensure that the cylinder is filled accurately and according to the specified requirements.
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Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
Answer:
Its 70 hope that helped
Step-by-step explanation: I did this before
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some azaleas that cost $6 each and some lilies that cost $5 each. They spent a total of $196 on these plants. How many azaleas did the students buy?
Hi there!
azaleas=16
1.Multiply two terms:
\(16\)·\(6=96\)
2.Subtract the two terms:
\(196-96=100\)
3.Multiply the last two terms:
\(20\)·\(5=100\)
Therefore, the students brought 16 azaleas.
f(x) = 5x³ - 7x + 19The name of this function is ____xbobfcubed
Answer:
Cubed
Explanation:
Given the function:
\(f\mleft(x\mright)=5x^3-7x+19\)The highest power of the function = 3
Therefore, it is a cubic/cubed function.
Note:
• If the highest power is 1, it is a linear function.
,• If the highest power is 2, it is a square/quadratic function.
luna is 12 blocks from school and walk towards the concert at an average speec of 2 blocks per minute. select the equation that best represents luna's distance from school
A. d=2t+12
B. d=12+2
C. t=2d+12
D. t= 12d + 2
Answer: I do not know
Step-by-step explanation:
Brad buys a video game desk for four dollars there was a discount of 20% off what is the sale price
Answer:
$3.20
Step-by-step explanation:
The total amount is $4 for the video game desk.
100% = $4
10% = $0.40
20% = $0.40 + $0.40 = $0.80
Therefor the the sale price after the 20% discount is:
$4.00 - $0.80 = $3.20
If marco buys a shirt for $45.20 and has a discount of 30% what is the new price of the shirt?
A cell phone bill provider offers a plan that costs $20 per month plus $0.10 per text message sent or received. A comparable plan costs $30 per month but offers unlimited text messaging. How many texts would have to be sent or received in order for the plans to cost the same each month
Answer:
100 texts
Step-by-step explanation:
20+.1x=30
30-20=10
10 dollar difference in base prices.
10/.1 (to find out how many texts)
100 texts
A triangle has 3 angles. The measure of angle 1 is 89 degrees. The measure of angle 2 is 36 degrees. What is the measure of the third angle?
why did the girl wear glasses during math class
Answer:
Because she found it improves division.
Step-by-step explanation:
5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?.
According to the given statement 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and a boy is 1 : 3.
To find the ratio between the efficiencies of a man and a boy, we need to compare the amount of work each man and each boy can do in a given time.
Let's assume that the efficiency of a man is M and the efficiency of a boy is B.
From the first scenario, we know that 5 men and 12 boys finish the work in 4 days.
This means that the combined efficiency of the 5 men is 5M and the combined efficiency of the 12 boys is 12B.
So, in 4 days, we have:
5M + 12B = 1
From the second scenario, we know that 7 men and 6 boys finish the work in 5 days.
This means that the combined efficiency of the 7 men is 7M and the combined efficiency of the 6 boys is 6B.
So, in 5 days, we have:
7M + 6B = 1
Now, we can solve these two equations simultaneously to find the values of M and B.
Multiply the first equation by 7 and the second equation by 5 to eliminate M:
35M + 84B = 7
35M + 30B = 5
Subtract the second equation from the first equation:
54B = 2
Divide both sides by 54:
B = 1/27
Now, substitute the value of B into any of the original equations to find M.
Let's use the first equation:
5M + 12(1/27) = 1
5M + 4/9 = 1
5M = 5/9
M = 1/9
Therefore, the ratio between the efficiencies of a man and a boy is:
M : B = (1/9) : (1/27)
To simplify the ratio, we can multiply both the numerator and denominator of the boy's efficiency by 3:
M : B = (1/9) : (3/27)
= 1 : 3
So, the ratio between the efficiencies of a man and a boy is 1 : 3.
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For every 12 boy-days of work, a man completes 5 days in the first scenario. And in the second scenario, for every 6 boy-days of work, a man completes 7 days. The efficiency ratio between a man and a boy is:
First scenario: 5 men-days / 12 boy-days
Second scenario: 7 men-days / 6 boy-days
The efficiency of a person is measured by the amount of work they can complete in a given time. Let's find the efficiency ratio between a man and a boy.
In the first scenario, 5 men and 12 boys finish the work in 4 days. To find the total work done, we multiply the number of people by the number of days: (5 men + 12 boys) x 4 days = 20 men-days + 48 boy-days.
In the second scenario, 7 men and 6 boys finish the work in 5 days. Using the same logic, we get: (7 men + 6 boys) x 5 days = 35 men-days + 30 boy-days.
To find the efficiency ratio between a man and a boy, we can compare the work done by men to the work done by boys in both scenarios.
In the first scenario, the ratio of men's work to boys' work is 20 men-days : 48 boy-days.
In the second scenario, the ratio of men's work to boys' work is 35 men-days : 30 boy-days.
To simplify the ratios, we can divide the number of men-days and boy-days by their greatest common divisor (GCD). The GCD of 20 and 48 is 4, and the GCD of 35 and 30 is 5.
After dividing, we get the simplified ratio of men's work to boys' work:
First scenario: 5 men-days : 12 boy-days
Second scenario: 7 men-days : 6 boy-days
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(-4.7)2 + 8.5 x (-9.6)
The cost of 6 pencils at a store is 30 cents. Each pencil has the same cost. Which graph has a slope that best represents the cost of each pencil at this store?
The graph that has a slope that best represents the cost of each pencil at this store has a slope of 5
How to determine the graph by the slope?From the question, we have the following parameters that can be used in our computation:
The cost of 6 pencils at a store is 30 cents
Given that the pencils cost the same
The unit rate is
Unit rate = 30/6
Evaluate
Unit rate = 5
This represents the slope
Hence, the graph has a slope of 5
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What degree is consistent with all quadratic functions?
Answer:
degree 2
Step-by-step explanation:
the standard form of a quadratic function is
y = ax² + bx + c (a ≠ 0 )
the degree of a function is determined by the largest value of the exponent of the variable.
in the case of a quadratic the term with the largest exponent is ax²
with exponent 2
then quadratic function is of degree 2
Hamburgers: The number of calories in a sample of hamburgers from six fast food restaurants are 340 350 300 250 270 340 Part 1 out of 2 Find the mean number of calories. Round the answer to one decimal place. The mean number of calories is___
To find the mean number of calories in the sample of hamburgers, we sum up all the calorie values and divide by the total number of hamburgers.
340 + 350 + 300 + 250 + 270 + 340 = 1850
To calculate the mean, we divide the sum by the number of hamburgers:
1850 / 6 = 308.33
Therefore, the mean number of calories in the sample of hamburgers is 308.3 (rounded to one decimal place).
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Natalia earns a base salary of $210 each week as a waitress. She usually makes an additional 15% in tips on all orders. Natalia has set a goal to make $1,000 each week. What inequality can she use to calculate x , the total dollar amount of orders needed for her to meet her goal?
Answer:
The inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
Step-by-step explanation:
The amount that Natalie makes each week is the result of adding up the base salary she earns plus the result of multiplying the dollar amount of orders for 15% and this result should be greater than or equal to $1,000, which would be:
210+0.15x≥1,000
Now, you can solve for x:
x≥(1,000-210)/0.15
x≥5,267
According to this, the answer is that the inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
you are on a boat in the ocean at point A you locate a lighthouse at point D beyond the line of sight of the marker at point C you drive 0.2 miles west to point B and then 0.1 miles south to point C you drive 0.3 miles more to arrive at point E which ie due east of the lighthouse. what is the distance from point E to the lighthouse
Answer:
It is 0.6 miles
Step-by-step explanation:
In the text box provided, explain if the expression below should be simplified using distributive property first or combining like terms first. Include your explanation of why you think so. -2(3m - 2) - 5 + 4m
The expression -2(3m - 2) - 5 + 4m should be simplified by applying the distributive property first, followed by combining like terms. The simplified expression is -2m - 1.
To simplify the expression -2(3m - 2) - 5 + 4m, we need to determine whether to apply the distributive property first or combine like terms first.
The distributive property states that when a number is multiplied by a sum or difference inside parentheses, it must be distributed or multiplied by each term inside the parentheses.
In this expression, we have -2 multiplied by the quantity (3m - 2). Applying the distributive property would involve multiplying -2 by both terms inside the parentheses: \(-2 \times 3\) m and \(-2 \times -2.\)
On the other hand, we also have 4m in the expression, which is a term with the variable 'm'. Combining like terms involves simplifying expressions that have the same variable and power.
In this case, we have \(-2 \times 3\) m and 4m, which are both terms with 'm'.
To decide whether to use the distributive property first or combine like terms first, we need to prioritize the order of operations. The order of operations dictates that we should perform multiplication before addition or subtraction.
Therefore, we should first apply the distributive property to -2(3m - 2), resulting in -6m + 4. Then we can combine like terms by adding -6m and 4m, resulting in -2m. Finally, we can combine the constant terms by adding -5 and 4, resulting in -1.
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