The loss of each owner of the catering company is 22 dollars.
What is average?Average is the sum of the total weights of each individual divided by the number of individuals.
Given that a catering company loses 110 dollars as a result of the delay and the company has 5 owners and they share the loss equally.
As the loss has been shared by the owners equally we have to divide the total loss occurred by the total no. of owners to obtain the amount of loss for each individual which is,
= 110/5 dollars.
= 22 dollars.
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The amounts that two partners invested in a new business are given below. If the partners share the profits in the same ratio as their investment, what is partner B's share in a $3600 profit?
Partner A $4300 Partner B $7700
Help there are 4 screen shots
Determine the digits of Y from these clues. The digits of Y add to 16. The first digit is 4 times the third digit. The second digit is 3 times the third digit. Y is a three digit number. 268 826 628 862
Answer: 862
Step-by-step explanation:
Let the third digit of Y be x .
Then , the first digit will be 4x and the second digit will be 3x.
Since , the digits of Y add to 16.
Then we have
[tex]3x+4x+x=16\\\\\Rightarrow\ 8x=16\\\\\Rightarrow\ x=\dfrac{16}{8}=2[/tex]
Thus , the third digit of Y = 2
Then the first of Y digit will be [tex]4(2)=8[/tex]
The second digit of Y will be [tex]3(2)=6[/tex]
Hence, the digits of Y must be 862
Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 100. How many minutes would it take the printer to use all 100 sheets of paper?
Using the function p(t) = -8t + 100, where t is time and p(t) is the amount of paper left, we set p(t) to 0 and solve for t. This reveals that it will take 12.5 minutes for the printer to use all 100 sheets of paper.
Explanation:In this problem, we're told that the printer uses paper according to the function p(t) = -8t +100, where t is the time it takes to print and p(t) is the amount of paper left in the printer. We want to find how much time it will take for the printer to use all the 100 sheets of paper, meaning we need to set p(t) to 0 and solve for t.
Therefore, we set up and solve the equation as follows: 0 = -8t + 100. If we solve this equation for t, we get t =100/8, which simplifies to t = 12.5 minutes.
This means it will take the printer 12.5 minutes to use all the 100 sheets of paper. The previous suggestions about other solutions and negative time are not applicable in the context of this problem because time cannot be negative in this instance, and this equation yields only one solution.
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what is the answer to the equation
(4 x 6) - 25 + 1
Someone plz tell me if my answers for the two questions are correct.Also help me with question f without telling the answer.
What is the product? Enter your answer as a fraction, in simplified form, in the box. 3/8⋅(−3/6)
The product of the given expression of a fraction is [tex]\frac{-3}{16}[/tex].
Given:
An expression : [tex]\frac{3}{8}.(\frac{-3}{6})[/tex]
To find:
The product of the given expression of fractions in simplified form.
Solution:
[tex]\frac{3}{8}.(\frac{-3}{6})\\\\= \frac{3}{8}\times (\frac{-3}{6})\\\\=\frac{-9}{48}\\\\=\frac{-3}{16}[/tex]
The product of the given expression of a fraction is [tex]\frac{-3}{16}[/tex].
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Which numbers are a distance of 3 units from 12 on a number line?
Select each correct answer.
3
15
0
9
−9
−15
Answer:
15 and 9 are the correct answers.
Step-by-step explanation:
The numbers that are at a distance of 3 units from 12 on a number line are given as:
We will add 3 to 12 and also subtract 3 from 12 to get both numbers on the left side an right side on the number line.
[tex]12+3 = 15[/tex]
[tex]12-3 = 9[/tex]
So, the correct answers are 15 and 9.
A theater seats 1860 people the last 6 shows have been sold out estimate the total number of people attending the last 6 shows
Simplify 3(x - 6) - 4(x + 3).
Answer:
B) -x-3
Step-by-step explanation:
If I read and did the math correctly, this should be the answer. :)
which of the following is an example of theoretical probability?
There are 52 playing cards in a deck, and 4 of them are aces. The probability of turning over an ace is 4/52
B. Kenny rolled a number cube 9 times and got 4 even numbers. The probability of an even number is 4/9
C. Wendy flipped a coin 5 times, and the results were 4 tails. The probability of tails is 4/5
D. There were 73 people in a grocery store, and 45 of them bought milk. The probability of people buying milk is 45/73
Answer:
Option A and D are correct Option.
Step-by-step explanation:
Theoretical Probability: Probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
that is [tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}[/tex]
Option A:
Number of favorable outcome = 4
Total number of outcome = 52
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{4}{52}[/tex]
Thus, This is an example of Theoretical Probability.
Option B:
Number of favorable outcome = [tex]^9C_4\times3^4\times3^5=2480058[/tex]
Total number of outcome = [tex]6^9=10077696[/tex]
Thus, This is not an example of Theoretical Probability.
Option C:
Number of favorable outcome = [tex]^5C_4=5[/tex]
Total number of outcome = [tex]2^5=32[/tex]
Thus, This is not an example of Theoretical Probability.
Option D:
Number of favorable outcome = [tex]45[/tex]
Total number of outcome = [tex]73[/tex]
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{45}{73}[/tex]
Thus, This is an example of Theoretical Probability.
Therefore, Option A and D are correct Option.
a landscape company charges $100 plus $15 per hour. another company charges $75 plus $17 per hour. how long is a job that costs the same no matter which company is used
To find when the job cost is the same for both companies, equate their cost equations. By solving 100 + 15h = 75 + 17h, we find that at 12.5 hours the job would cost the same no matter which company is used.
To determine when a job costs the same for both landscape companies, we need to equate the two cost equations they offer and solve for the number of hours.
Let h be the number of hours the job takes. The first company's cost can be represented as C1 = 100 + 15h, and the second company's cost as C2 = 75 + 17h. To find the number of hours when both companies charge the same amount, we set C1 = C2:
100 + 15h = 75 + 17h.
Rearrange the equation to solve for h:
100 - 75 = 17h - 15h
25 = 2h
h = 12.5 hours.
So, a job that takes 12.5 hours would cost the same amount whether it is done by the first company or the second company.
How many of the first 10,000 positive integers contain the digit pair “43” in that order?
Final answer:
There are 209 numbers among the first 10,000 positive integers that contain the digit pair '43' in that order, when considering the different placements of the digit pair in a four-digit number.
Explanation:
To find out how many of the first 10,000 positive integers contain the digit pair "43" in that order, let's consider the different places this pair can occur. The '43' pair can be in the units and tens place, the tens and hundreds place, or the hundreds and thousands place.
For the units and tens place, we have '43' fixed and two remaining places that can be any digit from 0 to 9, so there are 10 times 10 = 100 possibilities. However, we need to exclude the combination '043' as it is not a four-digit number but rather '43', giving us 100 - 1 = 99 combinations.
For the tens and hundreds place, we again have 10 possibilities for the other two places (thousands and units). We do not need to exclude any numbers here because even '043x' represents a valid four-digit number. Thus, we have 10 imes 10 = 100 combinations.
For the hundreds and thousands place, there are only 10 possibilities for the units place, as '430x' represents a valid four-digit number, which results in 10 combinations.
Adding them up, we have a total of 99 + 100 + 10 = 209 numbers that contain the '43' pair in the first 10,000 positive integers.
the description of a TV is based on the diagonal length. if the height of a TV is 10 inches and the width is 7 inches, what is the approximate diagonal length in inches?
The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
The approximate length of the diagonal is 12 inches.
What is Pythagorean theorem?The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
We have,
Height = 10 inches
Width = 7 inches
Height and width can be considered as the other two sides.
Now,
The diagonal length can be considered as the hypotenuse.
Now,
Diagonal² = 10² + 7²
Diagonal² = 100 + 49
Diagonal² = 149
Diagonal = √149
Diagonal = 12.206 inches
The approximate diagonal length will be 12 inches.
Thus the approximate length of the diagonal is 12 inches.
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The prices of two radios are in the ratio x:y
When the prices are both increased by £20, the ratio becomes 5:2
When the prices are both reduced by £5, the ratio becomes 5:1
Express the ratio x:y in it's lowest terms.
The concept of linear equation and ratios is used to solve for the price of radios. The price of two radios are [tex]x=\pounds 80[/tex] and [tex]y=\pounds 20[/tex].
Given information:
The ratio of prices of two radios is [tex]x:y[/tex].
If the price of both the radios is increased by [tex]\pounds20[/tex], the ratio of price would become 5:2.
The above condition can be written mathematically as,
[tex]\dfrac{x+20}{y+20}=\dfrac{5}{2}\\2x+40=5y+100\\2x-5y=60.........(1)[/tex]
If the prices are both reduced by [tex]\pounds 5[/tex], the ratio will become 5:1.
The above condition can be written mathematically as,
[tex]\dfrac{x-5}{y-5}=\dfrac{5}{1}\\x-5=5y-25\\x-5y=-20\\-x+5y=20.........(2)[/tex]
Add equation (1) and (2), to get the value of [tex]x[/tex] and [tex]y[/tex] as,
[tex]2x-x=60+20\\x=80[/tex]
Solve for [tex]y[/tex] as,
[tex]2x-5y=60\\2\times 80-5y=60\\5y=100\\y=20[/tex]
Therefore, the price of two radios is [tex]x=\pouns 80[/tex] and [tex]y=\pounds 20[/tex].
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Use a calculator to find the value of Sin 21°
Round to four decimal places.
A. 0.3839
B. 0.3584
C. 0.9336
D. 2.7904
Answer:
Option B is the correct answer.
Step-by-step explanation:
We need to find the value of Sin 21° using calculator and round to four decimal places.
Using calculator
Sin 21° = 0.358367949
Rounding the value of Sin 21° to four decimal places.
Sin 21° = 0.3584
Option B is the correct answer.
3(6) minus negative2 divide by minus negative 1
A farmer has 212 acres of land for sale.He divides the land into 18 equal sections.About how many acres are in each section?
Which shows the following expression using positive exponents? a^3 b^-2/ ab^-4
5x6=90divided by something
Answer:
30
Step-by-step explanation:
5x6=30
Check our work:
90/30=30
Write the algebraic expression representing the length and width of Marliens house. Someone please tell me the process of how to do this
Answer:
Length of Marliens house = [tex](\frac{7}{2}x-4)\text{ or }(\frac{9}{2}x-18)[/tex] .
Width of Marliens house = [tex](2x-2)[/tex].
Step-by-step explanation:
We need to find the length and width of Marlien's home in algebraic expressions.
Add length of living room, hallway and kitchen, to find the length of Marlien's home.
Length of Marlien's home = [tex](2x+2)+(\frac{1}{2}x-4)+(x-2)=\frac{7}{2}x-4[/tex]
Or we can add Master bedroom,guest room, hallway and bathroom, to find the length of Marlien's home.
Length of Marlien's home = [tex](2x-10)+(x-2)+(\frac{1}{2}x-4)+(x-2)=\frac{9}{2}x-18[/tex]
Add width of living room and Master bedroom to find the width of Marlien's home.
Width of Marlien's home = [tex]x+(x-2)=2x-2[/tex]
Hence, the length of Marliens house is either [tex](\frac{7}{2}x-4)\text{ or }(\frac{9}{2}x-18)[/tex] and width of Marliens house is [tex](2x-2)[/tex].
does 65-(45-20)equal (65-45)-20? how do you know?
Answer:
No, the expression 65-(45-20) is not equal to (65-45)-20.
Step-by-step explanation:
Consider the provided expression.
Consider the expression: 65-(45-20)
Solve the above expression as shown.
65-(45-20)
65-(25)
65-25
40
Now consider the second expression.
(65-45)-20
20-20
0
Now compare both the result.
40≠0
Hence, the expression 65-(45-20) is not equal to (65-45)-20.
Donald is giving his old rare coins to his grandchildren. he has 56 coins and 8 grandchildren, and he gives each grandchildren the same number of coins. each coin has a value of $18. which equation can we use to find the value (v) of each grandchildren's coins?
A random number generator is used to select a number from 1 to 100, what is the probability of selecting the number 129?
What is the value of the expression? 3(6/8−1/2)+0.25
name all planes intersecting plane CHG
Answer:
b. CBA, CDI, FIH, BAF
Step-by-step explanation:
In the given figure of a cuboid. The total number of plans is 6.
These planes are, plane ADI, plane CBA, plane CDI, plane FIH, plane BAF and plane CHG. But in the cube plane ADI and plane CHG is parallel to each other, therefor they do not intersect each other and rest plane (other then plane ADI ) are not parallel to the plane CHG, so these planes intersect the plane CHG.
Hence we say that the plane CBA, Plane CDI, plane FIH and plane BAF are the intersecting plane of the plane CHG.
Can yiu help me with number 3
name three quaderlateral that only sometimes have right angle
Cups often come packaged in one tall stack. A certain cup is 4 inches tall. when one 4-inch cup is stacked in another, the two cups measure 4.5 inches tall. when 3 cups are stacked, they measure 5 inches tall. How many stacked 4-inch cups will fit in a bag that is 12 inches tall? in a bag that is n inches tall?
Abbey gets paid a flat rate of $10.00 to mow her neighbor's lawn plus an additional $5 per hour to rake the leaves. The money she earns is represented by the equation m = 5h + 10, where m represents the amount of money she earns, in dollars, and h is the number of hours she rakes leaves for. Which of the following equations can be used to find h, the number of hours she rakes leaves for?
The answer choices are:
A. h= m -2
B. h=m -10
C. h= m/5
D. h= m-10/5