The profit-maximizing quantity for Doggies Paradise Inc. is determined by comparing marginal revenue and marginal cost for each output level and is found to be at five units, which results in a profit of $40.
Explanation:Profit Maximization CalculationTo calculate the profit-maximizing quantity for Doggies Paradise Inc., we construct a table showing total revenue, marginal revenue, total cost, and marginal cost for each output level from one to five units. Given the price of $72 per dog coat, the fixed costs of $100, and the various total variable costs for each output level, we can determine the profit-maximizing quantity by comparing marginal revenue and marginal cost.
Calculate total revenue by multiplying the number of units by the price ($72).Calculate total cost by adding fixed costs ($100) to the total variable costs for each output level.Determine marginal revenue and marginal cost for each additional unit produced.Identify the output level where marginal revenue equals marginal cost; this is the profit-maximizing quantity.Subtract total cost from total revenue to find profits at this output level.If Doggies Paradise Inc. produces and sells five units, they will achieve a profit of $40, as total revenue will be higher than total costs, indicating that the fifth unit is adding to the profits.
Learn more about Profit Maximization here:https://brainly.com/question/33809682
#SPJ3
Round 38,237 to nearest ten thousand
Every day, Jason's burrito stand uses 2 bags of tortillas. For how many days will 3/4 of tortillas last?
To find out how many days 3/4 of the tortillas will last, we can set up a proportion using the given information. By solving the proportion, we find that 3/4 of tortillas will last for 8 days.
Explanation:To find out how many days 3/4 of the tortillas will last, we can set up a proportion using the given information.
Let's assume that the total number of tortillas is represented by 'x'.
We know that 2 bags of tortillas are used every day, so in 'x' number of days, 2x bags of tortillas will be used.
According to the question, 3/4 of tortillas should last 'x' number of days. So, we can set up the proportion: 2x / x = 3/4.
To solve this proportion, we can cross multiply: 2x * 4 = x * 3. Simplifying, we get 8x = 3x. Dividing both sides by 3, we get x = 8.
Therefore, 3/4 of tortillas will last for 8 days.
Four gallons of gas cost $16.80. what is the unit rate?
It took a cheetah 45 minutes to run from Jungle A to Jungle B. The average speed for the trip was 80 km/h. Find the distance between the two jungles.
Total distance cover from Jungle A to B is 60 km
Given that;
Time taken to cover distance = 45 minutes
Speed of trip = 80 km/h
Find:
Total distance cover from Jungle A to B
Computation:
Distance = Speed × Time
Total distance cover from Jungle A to B = Time taken to cover distance × Speed of trip
Total distance cover from Jungle A to B = [45/60] × 80
Total distance cover from Jungle A to B = [0.75] × 80
Total distance cover from Jungle A to B = 60 km
Learn more:
https://brainly.com/question/20330990?referrer=searchResults
Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
Select the best answer for the question. 3. 9⁄11 = ?⁄22 A. 9 B. 4 C. 12 D. 18
Elizebeth wants to challenge you to a toothpicks and tiles game using exactly 6 tiles solve her
find a pattern where the number of toothpicks is more than double the number of tiles
answer and explain
To solve Elizebeth's challenge, we can arrange 6 tiles in different ways to find a pattern where the number of toothpicks is more than double the number of tiles. The pattern is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.
Explanation:To solve Elizebeth's challenge, we need to find a pattern where the number of toothpicks is more than double the number of tiles. Let's start with 6 tiles. We can arrange these tiles in various ways and count the number of toothpicks:
Using all 6 tiles in a straight line, we would have 6 toothpicks.Using 5 tiles in a straight line and leaving one tile out, we would have 5 toothpicks.Using 4 tiles in a straight line and leaving two tiles out, we would have 4 toothpicks.Using 3 tiles in a straight line and leaving three tiles out, we would have 3 toothpicks.Using 2 tiles in a straight line and leaving four tiles out, we would have 2 toothpicks.Using 1 tile alone, we would have 1 toothpick.So, for 6 tiles, the number of toothpicks is either 1, 2, 3, 4, 5, or 6. The pattern we can observe is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.
Learn more about Pattern of toothpicks and tiles here:https://brainly.com/question/38066335
#SPJ2
Estimate the value of √97.5÷1.96
To estimate the value of √97.5÷1.96, we approximate √97.5 to be just under 10, and 1.96 to be about 2. Dividing these estimations, 10 by 2, we get an approximate answer of 5.
The student asked to estimate the value of √97.5÷1.96. First, let's find a reasonable approximation for each number.
For the square root of 97.5, we know that √100 is 10, so we can estimate √97.5 to be slightly less than 10. For 1.96, that's very close to 2, so we can use that for our approximation.
Now, our estimated equation is 10÷2, which is 5. Hence, the estimated value of √97.5÷1.96 is approximately 5.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
The equation that could be used to solve the number of hours Ben ran during each half of the race will be y = 5x + 3 and y = 5.5x + 2
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. Therefore, the number of miles covered will be:
y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. Therefore, the number of miles covered will be:
y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
Read related link on:
https://brainly.com/question/6499649
Molly buys a scooter for $26.99. Robert buys a basketball for $12.89. How much more does Molly spend more money than Robert?
The distance between the goals on a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field. What is the distance from the front at one end of the field to the front of the box at the other end of the field
Answer:
The required answer is 41.02 meters.
Step-by-step explanation:
Each box = 5.49 meters.
So, both boxes = [tex]5.49\times2=10.98[/tex] meters
Now the distance from the front of the box at one end of the field to the front of the box at the other end of the field is given by:
[tex]52-10.98=41.02[/tex] meters
Therefore, the required answer is 41.02 meters.
Mr. Gonzalez bought 5 pounds of grapes for $15.How much did he spend per pound?
Simplify. 8u+9v+3u−5v
What is the answer?
11u + 14v
15uv
5u + 4v
11u + 4v
To simplify the expression 8u + 9v + 3u - 5v, combine the u terms and the v terms separately to get 11u + 4v.
Explanation:To simplify the expression 8u + 9v + 3u - 5v, we can combine like terms. Like terms have the same variables raised to the same power. Combining the u terms and the v terms separately, we have (8u + 3u) + (9v - 5v), which simplifies to 11u + 4v. Therefore, the answer is 11u + 4v.
The blanket is 2.25 meters long and 1.8 meters wide.What is the area of the blanket?Write the answer in centimeters
To calculate the area of the blanket, multiply the length (2.25 meters) by the width (1.8 meters) to get 4.05 square meters. Then convert this to square centimeters by multiplying by 10,000 (since 1m^2 is 10,000 cm^2), resulting in an area of 40500 square centimeters.
The area of the blanket can be calculated by multiplying its length by its width. We start with the measurements in meters and then convert the result into centimeters.
First, we find the area in square meters:
Area = length × width = 2.25 m × 1.8 m = 4.05 m²
Since there are 100 centimeters in a meter, we need to convert each dimension from meters to centimeters before we can find the area in square centimeters. This means we multiply each meter by 100 to get the dimension in centimeters:
Length in centimeters = 2.25 m × 100 cm/m = 225 cmWidth in centimeters = 1.8 m × 100 cm/m = 180 cmArea in square centimeters = length in cm × width in cm = 225 cm × 180 cm = 40500 cm²So, the area of the blanket is 40500 cm².
Jocelyn has 6 birds. Their mean age is 10. The mode is 8. What might their ages be?
total ages = 60
Generally, if the mode is 8 would mean there are more than one age of 8
suppose there are two with age 8,
leaving 44 for the other 4
(11 for the average of the remaining 4)
could have 9 and 13, and 8 and 14
so we could have:
8,8,8,9,13,14
or we could have:
8,8,9,10,12,13
check:of the 1st answer
mean = (8+8+8+9+13+14)/6 = 10
the mode is 8
you check the 2nd case
Susie bought 4 3/4 pounds of cherries at the store. She ate 5/8 of a pound on the way home.
How many pounds of cherries does Susie have left?
Enter your answer in the box as a mixed number in simplest form.
What is the number in standard form?
5.8×10^-10
0.00000000058
A: 0.00000000005008
B: 0.0000508
C: 0.00000005008
D: 0.0000000508
E: 0.0000058
please help this is a unit test due today. thank you
The number 0.00000000058 in standard form is equal to [tex]58\times10^{-11}[/tex].
In Mathematics and Statistics, any numerical data (number) can be written in scientific notation as shown below:
a × [tex]b^{n}[/tex]
Where
a represent a real number.b represent an integer.Based on the information provided above, the numerical data (number) is given by 0.00000000058. When expressed in decimal notation, it can be computed as follows;
Numerical data = 0.00000000058
Numerical data = [tex]5.8\times10^{-10}=58\times10^{-11}[/tex]
Note: The number of zeros must be equal to ten (10).
A space shuttle orbits Earth at a speed of 21,000 km/hr. How far will it travel in 5 hours?
The distance that should be travel in 5 hours is 105,000 km.
Given that,
The earth's speed is 21,000 km/hr. And, the time taken is 5 hours.We know that
Speed = Distance ÷ time
21,000 = Distance ÷ 5
So, the distance is
= 21,000 × 5
= 105,000 km
Therefore we can conclude that the distance that should be travel in 5 hours is 105,000 km.
Learn more: brainly.com/question/12319416
In Nathan’s baseball card collection, 58% of the cards are players form the national league. He has 702 baseball cards. About how many baseball cards are players form the national league? Use a rate per 100 to estimate
SHOW WORK PLEASE THANKYOU!
Answer: 406
Step-by-step explanation:
Given : In Nathan’s baseball card collection, 58% of the cards are players form the national league.
We can write 58% as 0.58 [To convert percent into decimal we divide it by 100]
If he has 702 baseball cards, then the number of baseball cards are players that form the national league will be :
[tex]0.58\times702\approx 0.58\times700=406[/tex]
Hence, about 406 baseball cards are players form the national league.
what is the relationship between "2ab and a+b"
Each minibus seats 14 people, and the school owns 5 minibuses. Use mental math to find how many students can ride in the school’s minibuses at the same time. Show your work.
Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal' how many miles will Eric walk?
Eric will walk 1003.75 miles in a year if he meets his goal.
Further ExplanationEric goal is 2.75 miles/day
How many miles in one year?
[tex]\boxed {1 year = 365 days }[/tex]
so in a year, Eric will walk:
[tex]\boxed {2.75 miles \times 365 days }\\ \boxed {= 1003.75 miles }[/tex]
Here is how to do decimal numbers multiplication using standard algorithm (You can see in the attachment below how to multiply using the area model)
2.75 ⇒ 2 decimal place
365 x ⇒ 0 decimal place (a whole numbers)
1375
1650
825 +
1003.75 ⇒ 2 decimal place
Here how to determine where the decimal point, from the calculation above
First factor has 2 decimal place
Second factor has no decimal place,
so the result would have 2 decimal place (2+0)
In doing decimal numbers multiplication we don't need to line the decimal place.
Learn MoreTotal spend brainly.com/question/12203917
Decimal numbers multiplication https://brainly.com/question/2181998
Decimal numbers multiplication brainly.com/question/1254534
Keywords: multiplication, decimal multiplication, three digits number additional, additional, multiplication, three digit numbers, subtraction decimal numbers
Note that if Eric meets his goal, he will walk approximately 1003.75 miles in a year
How to compute the distance Eric will walkNote that the distance walked to and from the park every day = 2.75 miles
Number of days in a year = 365 days
Total miles walked in a year = Distance walked every day x Number of days in a year
Total miles walked in a year = 2.75 miles x 365 days
= 1003.75 miles
So , if Eric meets his goal, he will walk approximately 1003.75 miles in a year.
Learn more about goal at:
https://brainly.com/question/1512442
#SPJ6
what adds to be the bottom number but also multiplies to be the top?
What is the justification for each step in solving the inequality?
−2(x+1)≥3x+8−2(x+1)≥3x+8
Select from the drop-down menus to correctly justify each step.
−2(x+1)≥3x+8−2(x+1)≥3x+8 :Given
−2x−2≥3x+8−2x−2≥3x+8 :
−2x≥3x+10−2x≥3x+10 :
−5x≥10−5x≥10 :
x≤−2x≤−2 :
Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place finisher and the last place finisher?
What are the common factors of 18xy and 32xyz
PLZ HELP!!!!
1.Solve. 3m+7/2=−2m+5/2 Drag and drop the answer into the box. m =
2.What is the value of c?
−1.6(2c+12)=12
Enter your answer in the box.
c =
3.
Solve.
3 + q + 9 = 12
q = 0
q = 18
q = 6
q = 24
Answer:-1^5
Step-by-step explanation:
Use the figure to find the measures of the numbered angles
The rate 165 ounces and 11 boxes describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
11 ounces per box
12 ounces per box
15 ounces per box
16 ounces per box
Answer:11 boxes
Step-by-step explanation:
round 0.05468 to 2 significant figures
please explain.