A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine the number of rides tokens that can be sold for the fair to make a profit of at least $750. Big Ideas Math is saying that x greater than or equal to 937.5 is wrong.
Answers
Answer:
938
Step-by-step explanation:
Given that :
Amount spent by fair on thrill. Ride = $3000
Cost per token of thrill ride = $4
For the fair to make a profit of atleast $750
Then it must realize : (cost of thrill ride + $750) = ($3000 + $750) = $3750
Therefore ;
Cost per token * number of rise tokens ≥ $3750
Let number of ride tokens = x
4x ≥ 3750
4x/4 ≥ 3750/4
x ≥ 937.5
Hence, number of tokens that must be sold = 938
Related Questions
Worth 30 points help plz!Graph the solution of the inequality −3(x + 1) ≤ 6 on the number line.
Group of answer choices
Filled circle at -1 shading to the right
Filled circle at -3 shading to the left
Filled circle at -1 shading to the left
Filled circle at -3 shading to the right
Answers
Answer: Filled circle at -1 shading to the left.
Step-by-step explanation:
-3x+3<6
-3 -3
_________
-3x<3
-3x/-3 3/-3
= -1
and the < sign means less than or equal to. Hope this helps!
Answer:Option D
Step-by-step explanation:
7x - 4x + 3 I really need help D:
Answers
Answer:
3x+3
Step-by-step explanation:
combine like terms
Answer:
7X-4X = 3X
3X+3
Step-by-step explanation:
You need to combine like amounts.
Write the slope intercept of the equation of the line through the given points. Through (-2,-4) and (-3,-5)
Answers
The slope between two(2) points;
\(\begin{gathered} P(x_1,y_1)_{} \\ \text{and Q(x}_2,y_2) \end{gathered}\)is given as:
\(m=\frac{y_2-y_1}{x_2-x_1}\)From the question, the given points are:
\(\begin{gathered} (-2,-4)\text{ and (-3,-5)} \\ \Rightarrow x_1=-2,y_1=-4 \\ \Rightarrow x_2=-3,y_2=-5 \end{gathered}\)Thus, the slope, m, is:
\(\begin{gathered} m=\frac{-5-(-4)}{-3-(-2)} \\ m=\frac{-5+4}{-3+2} \\ m=\frac{-1}{-1} \\ m=-1 \end{gathered}\)The equation of a line with two(2) given points is given as:
\(m=\frac{y-y_1}{x-x_1}\)Thus,
\(\begin{gathered} -1=\frac{y-(-4)}{x-(-2)} \\ -1=\frac{y+4}{x+2} \\ \text{cross}-\text{multiply} \\ y+4=-1(x+2) \\ y+4=-x-2 \\ y=-x-2-4 \\ y=-x-6 \end{gathered}\)Hence, the slope-intercept form of the equation of the line through the given points is:
\(y=-x-6\)amahle buys a bag of cookies that contains 7 chocolate chip cookies, 7 peanut butter cookies, 9 sugar cookies, and 8 oatmeal cookies. what is the probability that amahle reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? round your answer to four decimal places.
Answers
The probability that Amahle randomly selects a chocolate chip cookie from the bag, eats it, and then randomly selects an oatmeal cookie is 0.0068, rounded to 4 decimal places.
The probability that Amahle randomly selects a chocolate chip cookie and then an oatmeal cookie from a bag containing 7 chocolate chip cookies, 7 peanut butter cookies, 9 sugar cookies, and 8 oatmeal cookies can be calculated using the formula for conditional probability:
P(Oatmeal | Chocolate chip) = P(Chocolate chip and Oatmeal) / P(Chocolate chip)
The probability of selecting a chocolate chip cookie from the bag is 7/31, since there are 7 chocolate chip cookies in a bag of 31 total cookies. After Amahle selects and eats a chocolate chip cookie, there are 6 chocolate chip cookies and 30 total cookies remaining in the bag.
The probability of selecting an oatmeal cookie from the remaining cookies in the bag is 8/30, since there are 8 oatmeal cookies and 30 total cookies remaining.
Therefore, the probability of selecting a chocolate chip cookie and then an oatmeal cookie is:
P(Chocolate chip and Oatmeal) = (7/31) * (8/30) = 0.00678 (rounded to 4 decimal places)
The probability of selecting a chocolate chip cookie is 7/31, as mentioned earlier. Therefore, the probability of selecting an oatmeal cookie given that a chocolate chip cookie has been selected is:
P(Oatmeal | Chocolate chip) = (7/31) * (8/30) / (7/31) = 8/210 = 0.0381 (rounded to 4 decimal places)
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Given a₁ = 4, d = 3.5, n = 14, what is the value of A(14)? A. A(14) = 97.5 B. A(14) = 53 C. A(14) = 49.5 D. A(14) = 55.5
Answers
When a₁ = 4, d = 3.5, and n = 14 are given.The value of A(14) is 49.5, the correct answer is option C. The issue appears to be related to number juggling arrangements, where A(n) speaks to the nth term of the arrangement and a₁ speaks to the primary term of the sequence.
Ready to utilize the equation for the nth term of a math grouping:
A(n) = a₁ + (n-1)d
where d is the common contrast between sequential terms.
A(14) = 4 + (14-1)3.5
Streamlining this condition, we get:
A(14) = 4 + 13*3.5
A(14) = 4 + 45.5
A(14) = 49.5
Hence, the esteem of A(14) is 49.5, which is choice C.
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Which linear function has the same slope as the one that is represented by the table?
Answers
Answer:
A linear function is one whose algebraic expression is of the type y= mx... For this, we are going to build its table of values, but we must not forget that it's.. the line is more inclined the greater the absolute value of the pending.
Answer:
B
Step-by-step explanation:
I used it and got it right
*PLEASE ANSWER, DIFFICULT QUESTION*
What is the first step in evaluating an absolute value expression?
a.) simplify everything outside the pipe symbols
b.) you cannot evaluate an absolute value expression
c.) distribute any values outside the pipes through the expression inside
d.) simplify the expression inside the pipe symbols
Answers
Answer:
d.) simplify the expression inside the pipe symbols
earth's radius is approximately 4000 mi. about two thirds of the Earth's surface is covered by water. estimate the land area on earth
Answers
9514 1404 393
Answer:
67 million square miles
Step-by-step explanation:
The area of a sphere is given by ...
A = 4πr²
So the area of the Earth is approximately ...
A = 4π(4000 mi)² ≈ 2.01×10^8 mi²
The area of the 1/3 that is not covered by water is approximately ...
(2.01×10^2 mi²)/3 = 6.7×10^7 mi²
The land area is estimated to be about 67 million square miles.
A mother is concerned about the sudden decrease in the food intake of her 4 year old child. The growth and weight patterns are all within the 25-50th percentile. What advice would you offer to the mother
Answers
If a mother is concerned about the sudden decrease in the food intake of her 4-year-old child and the growth and weight patterns are all within the 25-50th percentile, here is the advice that could be offered:
Advice for the mother, First of all, a sudden decrease in food intake is not always a matter of concern as children's appetites can fluctuate due to various reasons, including illness or a recent change in routine. As long as the child is healthy and active, the appetite should not be a major issue.
Here are some tips and advice for the mother:
Offer a variety of healthy foods to encourage the child to eat. Include fruits, vegetables, whole grains, and lean proteins in the child's diet.
Avoid forcing the child to eat as it could lead to negative associations with food. Instead, encourage the child to eat by setting a good example and eating together as a family.
Avoid using food as a reward or punishment. This could lead to emotional eating and create an unhealthy relationship with food.
Encourage regular physical activity to ensure that the child stays healthy and active. Children should get at least one hour of physical activity every day.
Consult a pediatrician if the child continues to show a sudden decrease in food intake or there are concerns about the child's health and growth. A pediatrician can assess the child's growth and development and offer further advice and guidance.
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his cold-water supply system serves a bathroom in a multistory building. The architect
directed the piping to be installed in the wall cavities with the main branch above ceiling
level. The supply pipe construction is 4 type-L copper. The building supply is capable of
maintaining a flow rate of 10 gallons per minute. The walls contain a 6-inch cavity, and the
ceilings contain a 12-inch cavity. Consider the installation to be centered in the available
cavity space.
If the cold-water supply pressure to the floor represented in the drawing measures 50 psi
and the flush-valve manufacturer specifies a minimum working pressure of 25 psi, how many
stories can be constructed before friction losses prevent proper valve operation?
A. None including this floor
B. This floor and one more story
C. This floor and two more stories
D. This floor only
Answers
Answer: D
Step-by-step explanation:
To determine the maximum number of stories that can be constructed before friction losses prevent proper valve operation, we need to calculate the pressure loss due to friction as the water flows through the piping to each floor.
Using the Hazen-Williams formula, which is commonly used for sizing water supply systems:
P = (4.52Q1.85L10.67/C1.85)d4.87
where:
P = pressure loss due to friction (psi)
Q = flow rate (gpm)
L = length of pipe (feet)
C = Hazen-Williams coefficient (dimensionless)
d = inside diameter of pipe (inches)
Assuming the flow rate is 10 gpm, the length of pipe from floor to floor is the height of the building divided by the number of stories, and the inside diameter of the pipe is 4 inches (since 4 type-L copper corresponds to a 4-inch nominal diameter), the pressure loss for each story can be calculated using a Hazen-Williams coefficient of 130 for copper piping:
P = (4.52 x 10^1.85 x (1 story height/number of stories)10.67/1301.85)4.87
P = 3.3 x (1/number of stories)^1.85
For example, for a 2-story building, the pressure loss would be:
P = 3.3 x (1/2)^1.85
P = 1.6 psi
To ensure that the minimum working pressure of 25 psi is maintained at each flush valve, the pressure loss for each story cannot exceed 25 - 50 = -25 psi (since lower pressures can cause valve malfunctions).
Solving for the maximum number of stories:
3.3 x (1/number of stories)^1.85 <= -25
(1/number of stories)^1.85 <= -25/3.3
1/number of stories <= (-25/3.3)^0.54
number of stories >= 1/(-25/3.3)^0.54
number of stories >= 6.7
Therefore, the maximum number of stories that can be constructed before friction losses prevent proper valve operation is D. This floor only.
to 4 percent. If Calvin made monthly payments of $220 at the end of each month, how long would it take to pay off his credit card? a. If Calvin made monthly payments of $165 at the end of each month, how long would it take to pay off his credit card? months (Round up to the nearest unit.)
Answers
Rounding up to the nearest unit, it would take Calvin approximately 27 months to pay off his credit card with a monthly payment of $165.
To determine how long it would take Calvin to pay off his credit card, we need to consider the monthly payment amount and the interest rate. Let's calculate the time it would take for two different monthly payment amounts: $220 and $165.
a. Monthly payment of $220:
Let's assume the initial balance on Calvin's credit card is $3,000, and the annual interest rate is 4 percent. To calculate the monthly interest rate, we divide the annual interest rate by 12 (number of months in a year):
Monthly interest rate = 4% / 12 = 0.3333%
Now, we can calculate the time it would take to pay off the credit card using the monthly payment of $220 and the monthly interest rate. We'll use a formula for the number of months required to pay off a loan with fixed monthly payments:
n = -(log(1 - (r * P) / A) / log(1 + r))
Where:
n = number of months
r = monthly interest rate (as a decimal)
P = initial balance
A = monthly payment
Plugging in the values:
n = -(log(1 - (0.003333 * 3000) / 220) / log(1 + 0.003333))
Using a calculator, we can find:
n ≈ 15.34
Rounding up to the nearest unit, it would take Calvin approximately 16 months to pay off his credit card with a monthly payment of $220.
b. Monthly payment of $165:
We can repeat the same calculation using a monthly payment of $165:
n = -(log(1 - (0.003333 * 3000) / 165) / log(1 + 0.003333))
Using a calculator, we find:
n ≈ 26.39
Please note that these calculations assume that Calvin does not make any additional charges on his credit card during the repayment period. Additionally, the interest rate and the balance are assumed to remain constant. In practice, these factors may vary and could affect the actual time required to pay off the credit card balance.
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A two-dimensional cross section is taken of a three-
dimensional object. If this cross section is a
triangle, what can not be the three-dimensional
object?
1) cone
2) cylinder
3) pyramid
4) rectangular prism
Answers
The three-dimensional object cannot be a cone, cylinder, or pyramid since they all have curved sides and cannot be represented by a triangle in a two-dimensional cross section.
What is triangle?A triangle is a three-sided geometric shape. It has three sides and three angles. The sum of the three angles in a triangle always adds up to 180 degrees. Triangles can be classified as either right, acute, or obtuse, depending on the angle measurements. Right triangles have one 90 degree angle, acute triangles have all angles less than 90 degrees and obtuse triangles have one angle greater than 90 degrees.
The three-dimensional object cannot be a cone, cylinder, or pyramid since they all have curved sides and cannot be represented by a triangle in a two-dimensional cross section. The three-dimensional object can be a rectangular prism, as it has flat sides that can be represented by a triangle in a two-dimensional cross section.
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what is the percent of change between 57000 people and 97000 people, and how do I solve it?
Answers
Answer:
58.76
Step-by-step explanation:
So, as you can tell 97,000 is the 100 percent of the people, in this case we don't know what 57,000 is. Just divide equation 1 by equation 2. Considering both have the same unit. I'm so sorry, if this doesn't explain the best way.
anyone know how to do this?
Answers
A certain drug dosage calls for 15 mg per kg per day and is
divided into 3 doses each day. If a person weighs 250
pounds, how much drug should be administered each time.
Round your answer to the nearest mg.
Answers
To calculate the amount of the drug that should be administered to the patient, we need to first convert their weight from pounds to kilograms. We can do this by dividing their weight in pounds by 2.205.
This gives us a weight of 45.45 kg. Next, we need to determine the total amount of the drug that should be administered per day. We do this by multiplying the patient's weight in kilograms by the dosage of 15 mg/kg/day. This gives us a total dosage of 681.75 mg per day.
Finally, we need to determine how much drug should be administered each time. This can be done by dividing the total daily dosage by the number of times per day the drug will be administered. This information is not provided in the question, so we will assume that the drug is administered twice per day.
Dividing 681.75 mg by 2 gives us a result of 340.88 mg per dose. Rounding this to the nearest mg gives us a final answer of 341 mg per dose. Therefore, the patient should be administered 341 mg of the drug twice per day.
Hi! To calculate the drug dosage for a patient weighing "ispounds" in kg and administering the appropriate mg of the drug each day, follow these steps:
1. Convert the weight from pounds to kg by dividing "ispounds" by 2.2046 (1 kg = 2.2046 lbs).
2. Multiply the converted weight (in kg) by the recommended dosage of 15 mg/kg.
3. Divide the total daily dosage by the number of times the drug is administered per day (not mentioned in your question, so let's assume it's "x" times a day).
4. Round the answer to the nearest mg.
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Write the ratio as a fraction in simplest form 25 to 45
Answers
Answer:
5/9
Step-by-step explanation:
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answers
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it
Please help me ASAP! Show all your work please.
Answers
If we want the area to be more than 225 sqft, and the width is already established as 25, then we can divide 225 by 25 to see what the minimum would be. 225/25 is 9, so this is the minimum. We want a set of possible lengths though, and as long as the pen is over 225 sqft, it's allowed. Therefore, the answer is \(x\geq 9\).
hope this helps! comment if it's confusing
Which of the following is true based on the graph? Nearly 200
∘
of cancer cases resorted in the U.S. are aithbusabis to smoking Physicat activity is a nsk factor for cancer cases reported in the U'. S. Acohol is a greator risk factoe for cancer cases than smokng
Answers
Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".
The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.
Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.
The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.
Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.
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You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
Answers
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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Define the nonprobability sampling methods and give examples of each.
Answers
Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.
In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.
What is the value of x
Answers
Answer:
x=90? is there any other info?
Step-by-step explanation:
Answer:
90 degrees
Step-by-step explanation:
The angle is a right angle
The area of this rectangle is given by the quadratic function
A = 50W - W2
.
What is the reasonable domain for this function?
Answers
The reasonable domain for this function is 0 < x < 50
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
A = 50W - W2
The area of a rectangle cannot be negative;
The practical domain of A is determined when;
50W-W^2>0
Taking common factor W
W(50-W)>0
Since W must be positive W>0
50-W>0
Or equivalently
50>w
W<50
The total interval is
0<W<50
Therefore, the domain of the function will be 0 < x < 50
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f(x) = x^2 + 5x - 1 is shifted 3 units left the result is g(x). What is g(x)?
Answers
Answer:
A. g(x)=x^2+5x+2
Step-by-step explanation:
f(x) = x^2 + 5x - 1 Shift 3 units to the left. k=3
g(x)=x^2+5x-1+3=x^2+5x+2
g(x)=x^2+5x+2
Hope this helps!
If not, I am sorry.
I need help with geometry
Answers
Answer:
N, M, P
Step-by-step explanation:
The smallest angle is opposite the shortest side
The largest angle is opposite the longest side
Thus
∠ N is opposite the shortest side MP = 10
∠ P is opposite the longest side MN = 18
From smallest to largest, then
∠ N, ∠ M, ∠ P
Reflect the triangle over the y-axis and find the coordinate of the image of point K.
K’(2, 1)
K’(–2, 1)
K’(–2, –1)
K’(2, –1)
Answers
K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.
Therefore, the coordinate of the image of point K is K’(-2, 1).
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Suppose a three dimensional container has a volume of 19845 cubic inches. Calculate the volume of the container in cubic yards and round your answer to two decimal places.
Answers
Answer:
0.43 cubic yards
Explanation:
We know that 1 cubic yard is equivalent to 46656 cubic inches. So, we can convert 19845 cubic inches into cubic yards as:
\(19845\text{ cubic inches }\times\frac{1\text{ cubic yard}}{46656\text{ cubic inches}}=0.43\text{ cubic yards}\)Therefore, the answer is 0.43 cubic yards
Becky and Barbara are shopping for clothes. Becky bought dresses that cost $14.50 and $20 and a pair of flip-flops for $8.25. Barbara bought a blouse for $8.25, a skirt for $20 and a pair of jeans for $14.50. How much did the two women spend together?
Answers
Answer:
$85.50 dollars
Step-by-step explanation:
Becky bought a $14.50 and $20 dress, and a $8.25 pair of flipflops. That is $42.75 . Barbara bought differernt things but still spent the same amount of $42.75 . So if you add those up, it would be $85.50 that they have spent together. Hope this helps :)
My little sister, Savannah, is three years old and has a piggy bank that she wants to fill. She
started with five pennies and each day when I come home from school, she is excited when I give her three pennies that are left over from my lunch money. How much money will Savannah have after 10 days? How many days will it take for her to have at least $1.50? Justify your answer with a mathematical model of the problem situation.
Answers
Answer:
after 10days savannah will have 31 pennies
Step-by-step explanation:
arithmetic progression (AP)
(a1) started with, 5 pennies
common difference (d), 3 pennies
formula: Tn = a + (n-1)d
after 10 days, T10 = 5 + (10- 1)(3)
T10 =5 + 27
T10= 31
therefore after ten days savannah has 31 pennies
f(x)=5x-6 and g(x)=x-4 find (f of g)^-1
Answers
Answer:
{5 x = f(x) + 6, x = g(x) + 4}
Step-by-step explanation: