The average number of gallons of fruit juice consumed per person in the country in 2006 is 3.56 gallons per person
What is average number?The average value in a set of numbers is the middle value calculated by dividing the total of all the values by the number of values.
Given:
Total consumption of fruit = 1.78 billion gallons
= 1,780,000,000
Total population = 500 million
= 500,000,000
Average number of gallons of fruit juice consumed per person = 1,780,000,000 ÷ 500,000,000
= 3.56 gallons per person
About how many gallons would your class consume?
Assume, there are 7 students in your class
Average number of gallons of fruit juice consumed per person = 3.56 gallons / 7
= 0.50 gallons per student
Therefore, the average number of gallons of fruit juice consumed per person in the country in 2006 is 3.56 gallons per person
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Please Solve 7x-3y=-5?
Step-by-step explanation:
there should be two question like this
[tex]\frac{1}{4}b[/tex]+ [tex]\frac{1}{4}[/tex]=[tex]-\frac{1}{2}[/tex]
Solve for bb. Express your answer as a proper or improper fraction in simplest terms.
The fraction 1/4b + 1/4 = -1/2 is simplified to b = -12/4
What is a fraction?
A fraction can be defined as the part of a whole variable, or number.
The types of fractions are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have that;
1/4b + 1/4 = -1/2
Now, collect iike terms
1/4b = -1/2 - 1/4
find the lowest common denominator
1/4b = -2 -1 /4
Add the numerators
1/4b = -3/4
Now, divide both sides by the coefficient of b
b = -3/4 × 4/1
Multiply the values
b =-12/4
Hence, the value is - 12/4
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100 POINTS! How many roots does the polynomial equation have?
0=x^3(x+3)(x−1)^2
Answer: There are none
Step-by-step explanation:
What is the solution for this inequality?
Answer:
r > -3
Step-by-step explanation:
dwbi jus know that's the answer lil one
Someone please help! I’ll give Brainliest!!
Answer:
BAD
Step-by-step explanation:
i think its triangle BAD sorry if its not would make the most sense i think
preciso de ajuda por que eu não sei matemática
Answer:
¡Hola, soy Za'Riah! Con gusto te ayudaré con este problema. (ver explicación)
Step-by-step explanation:
Resolvamos tu problema usando la división larga.
(See image)
PLEASE HELP, I NEED THE ACTUAL ANSWER ASAP!
Amelia drinks half a gallon of milk each week. She also drinks six 6-oz cans of apple juice, 1 gal of water, and 52 oz of orange juice. How many ounces of liquids does Amelia average in 1 day?
The average amount of fluid consumed is 35.7 oz of fluid each day.
What is the amount of the liquid that she takes each day?We have to note that in this case of the question, we have the following information;
Amelia drinks half a gallon of milk each weekAmelia drinks ix 6-oz cans of apple juiceAmelia drinks 1 gal of waterAmelia drinks 52 oz of orange juiceWhen we convert the galloons to oz, we can see that the amounts of the milk and the water are actually 64 oz and 128 oz respectively.
Total fluid consumed in the week = 64 oz + 6 0z + 128 oz + 52 oz
= 250 oz
The average amount of fluid that is consumed per day is; 250 oz/7
= 35.7 oz of fluid each day.
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Lorenzo orders 3 pizzas for delivery. The total bill, including a $4.00 delivery fee, is $42.85. He uses the following equation to figure out the cost of each pizza. 3c+4.00=42.85
Lorenzo uses the following equation to figure out the cost of each pizza. 3c+4.00=42.85
The cost of each pizza is $12.95.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Lorenzo orders 3 pizzas for delivery.
The total bill, including a $4.00 delivery fee, is $42.85.
He uses the following equation to figure out the cost of each pizza. 3c+4.00=42.85
3c = 42.85 - 4
3c = 38.85
c = 12.95
Therefore, the cost of each pizza is $12.95.
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Consider the following number pattern: -7; 0; 9; 20; ... Show that the general term of this quadratic number pattern is given by T₁ = n² +4n-12. 2.1
Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12 is verified.
The number pattern = -7,0,9,20
What is the formula for quadratic equation?Let the general term of the given quadratic number pattern is given by
Tn = an²+bn + c
When T = -7; n = 1
⇒ -7 = a(1)² +b (1) +6
⇒ a + b + c=-7 -----------1
At n=2, T₂ = 0
⇒ 0 = a(2)²+b(2)+c
4a+2b+c=0 ---------------2
At n=3, T = 9
⇒ 9 = a(3)²+b(3) +c
⇒ 9a+3b+c= 9 ---------3
Subtracting 3 from 2
⇒-5a-b = -9 --------4
Subtracting 2 from 1
-3a-b = -7 -----------5
Subtracting 5 from 4
2a = 2
⇒ a=1
Using eq 5, we get
-3(1) - b = -7
-b = -7 + 3
b = 4
From eq 1, a + b + c=-7 we get the value of c,
1 + 4 + c = -7
c = -7 -5
c = -12
substitute the values of a, b, and c in Tn = an²+bn + c
Tn = n² + 4n - 12
Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12.
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Lauren and her sister are buying their mom a
watch for her birthday. The price of the watch is
$50, but Lauren has a 25% off coupon on
watches and her sister has a $5 store credit.
Which one should they use first to get the best
discount? Explain why.
The sisters should use the store credit first because if the store credit is used first and then the discount the cost is lower.
Which option should the sisters use first?Consumers always want to pay the least price possible for a good or service. The option the sisters would choose is the cheaper option.
Cost of the watch if the coupon is used first = price of the watch x (1 - coupon)
= $50 x (1 - 25%/100)
= $50 x (1 - 0.25)
= $37.50
Cost of watch after the store credit = $37.50 - $5 = $32.50
Cost of the watch if the store credit is used = cost of the watch - store credit
$50 - $5 = $45
Cost of the watch after the coupon = (1 - 25/100) x $45
(1 - 0.25) x $45
0.75 x $45 = $33.75
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A group of randomly selected Gamin Middle School athletes were asked to pick their favourite sport. Number of athletes Sport Sport Based on the data, what is the most reasonable estimate for the number of Gamin Middle School athletes whose favourite sport is hockey?
92 is the most reasonable estimate for the number of Gamin Middle School athletes whose favorite sport is hockey.
A reasonable estimate does not exceed the original numbers in a problem.
Reasonableness can be defined as checking to verify that the result of the solution or the calculation of the problem is correct or not, either estimating or plugging in your result to check it
The most reasonable estimate for the number of Gamin Middle School athletes whose favorite sport is hockey.
Estimate= population size x sample proportion.
population size=114
sample proportion=10/45
Estimate=114*10/45
Estimate=92.
Therefore, 92 is the most reasonable estimate for the number of Gamin Middle School athletes whose favorite sport is hockey.
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a board has a red space, a blue space, and a yellow space. a checker is situated on the red space. on each move the checker is transferred to one of the other two spaces. in how many ways can one make a series of 11 moves which result in the checker returning to the red space?
There are 2 ways to make a series of 11 moves.
Since the checker can move to either the blue or yellow space in each move, there are 2 possibilities for each move. We want to find the number of sequences of 11 moves that result in the checker returning to the red space, i.e., a sequence of moves that alternates between the red and one of the other two spaces.
There are 2 possible sequences of 11 moves: RBYB...BYBR and BYBY...YBRB, where R represents the red space, B represents the blue space, and Y represents the yellow space.
So, in total there are 2 ways to make a series of 11 moves which result in the checker returning to the red space.
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-(-8.2w+10) Im confused about this problem can you help me
Reason:
The negative out front is distributed to each term inside the parenthesis.
This will flip the sign of each term.
The -8.2 flips to +8.2w which is the same as 8.2wThe +10 flips to -10For more information, search out "distributive property".
A number of major tructural repair completed at the beginning of the current fical year at a cot of $1,000,000 are expected to extend the life of a building 10 year beyond the original etimate. The original cot of the building wa $6,552,000, and it ha been depreciated by the traight-line method for 25 year. Etimated reidual value i negligible and ha been ignored. The related accumulated depreciation account after the depreciation adjutment at the end of the preceding fical year i $4,550,000.
The total cot of the building (original cot of $6,552,000 le the Accumulated Depreciation of $4,550,000 pre-adjutment) divided by the new life of 35 year equal the annual depreciation amount of $188,514.29. The econd journal entry would therefore debit Building for $5,552,000 ($188,514.29 x 10 year) and credit Accumulated Depreciation for the same amount.
The journal entry to record the tructural repair and the related adjutment i:
Debit: Accumulated Depreciation $1,000,000
Credit: Building $1,000,000
Debit: Building $5,552,000
Credit: Accumulated Depreciation $5,552,000
The first journal entry record the cot of the tructural repair. The $1,000,000 tructural repair cot reduce the value of the building, and therefore the amount debited to Accumulated Depreciation will equal the amount credited to Building.
The econd journal entry adjust the Accumulated Depreciation for the change in the life of the building. Since the life of the building wa extended 10 year, the Accumulated Depreciation need to be reduced by 10 year of depreciation. The total cot of the building (original cot of $6,552,000 le the Accumulated Depreciation of $4,550,000 pre-adjutment) divided by the new life of 35 year equal the annual depreciation amount of $188,514.29. The econd journal entry would therefore debit Building for $5,552,000 ($188,514.29 x 10 year) and credit Accumulated Depreciation for the same amount.
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When all team members agree on the level of performance that is acceptable, they have a _____. Clear goal leader shared standard team structure
When all team members agree on the level of performance that is acceptable, they have a shared standard.
Teamwork is a collective approach in order to achieve a common goal for the growth of the organization. Each member of the team must be agreed on the methods and sources to be implemented in achieving the goal.
In order to achieve the goal, each individual has to work on his area but with the team to achieve the goal of the company. Each individual works together and share their efforts collectively so that the goal can be achieved.
Shared standard refers to the point of acceptance by each individual on a particular point and must agreed on the merging of the work collectively.
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write the equations described below.
a subtraction equation with one variable that has a solution of 2/3.
Answer: o
Step-by-step explanation:
researchers wanted to see which species of lizard (a, b, or c) is most likely to survive a bacterial infection. so they infected a total of 38 lizards and recorded how many survived after 48 hours. of the 15 species b lizards, 40% survived. for those that were species c, one more survived than died. and of the 24 lizards that died, one-third of them were species a. a. create a contingency table to display this data. (3pt) b. what proportion of the lizards in this study were either species b or c? (1pt) c. what is the probability that a species b lizard in this study did not survive? (1pt) d. are survival and being species c independent events for these lizards? justify your answer. (3pt)
a. The contingency table for the given data is attached file below.
b. The proportion of lizards that were either species A or B is 0.605.
c. The probability that a species C lizard in this study did not survive is 0.4667.
a.
The contingency table for the given data is attached file below.
b.
The proportion of lizards that were either species A or B can be calculated as:
P(A or B) = (15+8)/(15+8+6+9+4)
P(A or B) = 23/38
P(A or B) = 0.605
c.
The probability that a species C lizard in this study did not survive can be calculated as:
P(Not survive| C) = 7/15
= 0.4667
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What is 223,692 divided by 42 using the standard algorithm and showing work?
The value of 223,692 divided by 42 using the standard algorithm and showing work is 5326.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
The value of 223,692 divided by 42 using the standard algorithm and showing work is given below:
Dividing the two values by 2, a common factor
223,692 / 42
= 111,846 / 21
Dividing the two values by 3, a common factor
111,846 / 21
= 37282 / 7
Dividing the two values by 7, a common factor
37282 / 7
= 5326 / 1
Hence, the value of the division is 5326.
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01. De 200 melones, 80 resultaron en mal estado.
¿Qué porcentaje de los 200 están buenos para la venta?
200 melons are good in 60% of the cases.
Qué es bueno para la buena venta?Create a favourable first impression. Offers customers problems-solutions and a positive experience. Make good use of the newest technologies. clear language for business transactions. Maintain open communication.
The Most Important Characteristic for Sales. No matter what kind of sale it is, or what industry it is in, the most crucial factor that influences someone's decision to buy is always the price. And making oneself increasingly valuable is the key to selling and selling oneself.
200 equates to 100%.
Are good = 200 - 80 = 120
200me = 100%
120me = 100%/200me x = 120000%/200me x = 60%
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a couple has three children. assuming each child has an equal chance of being a boy or a girl, what is the probability that they have at least one girl? a. .5 b. .125 c. .875 d. 1
The probability of the couple having at least one girl is 0.875 0r 87.5 % by probability method. So, the option C is correct.
Having at least 1 girl out of 3 children means that there can be 1, 2 or 3 girls out of the 3 children.
So having at lest 1 girl out of 3 children is the same as saying that all 3 children are not boys.
The probability that all 3 children are boys would be
chance that child 1 is a boy * chance that child 2 is a boy * chance that child 3 is a boy = 0.5 * 0.5 * 0.5 = 0.125
since given that there is equal chance of both.
And the probability that NOT all 3 children are boys would be
100% - probability that all 3 children are boys = 1 - 0.125 = 0.875.
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The side length of a square is 5x - 7. Find x if the perimeter is 125.
The numerical value of x in the expression 5x - 7 is 7.65.
What is the numerical value of x?A square is simply a 2-dimentional plane figure with four equal sides and four right (90°) angles.
The perimeter of the square is the sum of the length of all four sides of the square.
P = 4l
Given the data in the question
Side length of square l = 5x - 7Perimeter P = 125Value of x = ?To find the value of x, plug the given values into the above equation and simplify.
P = 4l
125 = 4( 5x - 7 )
125 = 20x - 28
125 + 28 = 20x
153 = 20x
20x = 153
x = 153/20
x = 7.65
Therefore, the value of x is 7.65.
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50 POINTS (and its easy im just kinda dmb)
find the number of possible outcomes
1. A softball player bats six times in a game. Each at-bat results in an out, getting on base or hitting a homerun.
2. A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each s andwich can be ordered with white bread or multi-grain bread. Customers can add any combination of the six available toppings h
The number of outcomes for each case is given as follows:
1. 729 outcomes.
2. 36 outcomes.
How to obtain the number of outcomes?The number of outcomes for each case is obtained using the Fundamental Counting Theorem, with the multiplication of the number of outcomes for each trial.
For item 1, we have six trials, each with three possible outcomes, hence the total number of outcomes is given as follows:
3^6 = 729.
For item 2, the outcomes are given as follows:
3 types of sandwich.2 types of bread.Six toppings.Hence the number of outcomes is given as follows:
3 x 2 x 6 = 36 outcomes.
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explain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.
The correct option is Option C.
C.) The sequence is a function because each rule produces one output for each input.
Meaning of a sequence:
A grouping of any objects or a collection of numbers in a particular order that follows some rule is known as a sequence.
The difference between all the following terms in the sequence 10..6.11.8.13 is 12.
As a result, the series is an example of a linear function.
As a linear function, the sequence will always provide an output that complies with the rule.
As a result, the sequence is a function because each rule yields a single output for each input; hence, option C is the right response.
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The following question may be like this:
Explain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.
A)The sequence is a function because the domain is unrestricted.
B)The sequence is a function because more than one rule can represent it.
C)The sequence is a function because each rule produces one output for each input.
D)The sequence is a function because each rule produces multiple outputs for each input.
is 1+4(3x-10)-12x equivalent to - 39? explain
Answer:
1+4(3x-10)-12x is equivalent to -39 .The order of operations applies here, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).Working from the inside out:4(3x-10) = 43x - 410 = 12x - 40Then we have1 + (12x - 40) - 12x = 1 - 12x + 40 = -12x + 41So the equation 1+4(3x-10)-12x = -12x + 41 = - 39By following the order of operations, we can see that the two expressions are equivalent.
Step-by-step explanation:
1+4(3x-10)-12x is equivalent to -39 .The order of operations applies here, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).Working from the inside out:4(3x-10) = 43x - 410 = 12x - 40Then we have1 + (12x - 40) - 12x = 1 - 12x + 40 = -12x + 41So the equation 1+4(3x-10)-12x = -12x + 41 = - 39By following the order of operations, we can see that the two expressions are equivalent.
Brad is standing on a hill which places him at the same height as a nearby flagpole.
The flagpole is 15 ft. High and Brad is 20 ft. Horizontally from the top of the pole.
Brad can see the bottom of the flag pole.
What is the length in feet of Brad's "line of sight" to the base of the flagpole?
As per the Pythagoras theorem the length in feet of Brad's "line of sight" to the base of the flagpole 25 feet².
In math the term called Pythagoras theorem is states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
The standard form of the Pythagoras theorem is written with the help of the triangle ABC as,
=> AC² = AB² + BC²
where AC refers the hypotenuse and AB and BC refers the sides of the triangle.
Here we know that it follows from the task content that the length in feet of Brad's line of sight to the base of the flag pole is to be determined.
And here we also know that the flag pole in discuss is said to be 15 feet high.
And here we have also identified that Brad is at the same height as the pole and is at a horizontal distance of 20 feet from the top of the pole.
Then the length is calculated as,
=> l² = 15² + 20²
=> l² = 225 + 400
=> l² = 625
=> l = 25.
Hence the length of the line of sight is 25 feet.
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How do you find the value of x and y?
Check the picture below.
[tex]5x+70=24x-25\implies 70=19x-25\implies 95=19x \\\\\\ \cfrac{95}{19}=x\implies \boxed{5=x} \\\\[-0.35em] ~\dotfill\\\\ 4y+2=x+y\implies 4y+2=5+y\implies 3y+2=5 \\\\\\ 3y=3\implies y=\cfrac{3}{3}\implies \boxed{y=1} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{5(5)+70}{\measuredangle R=95^o}\hspace{5em}\stackrel{24(5)-25}{\measuredangle C=95^o}\hspace{5em}\stackrel{4(1)+2}{QR=6}\hspace{5em}\stackrel{5+1}{BC=6}[/tex]
1. The expression that represents the mass of an atom is:
a) p+ + n
b) e- + n
c) p+ + e-
d) p+ + e. + n
It is the a) p+ + n
Step by step explanation:[tex] \large\boxed{ \bold{A=p^{+}+n}}[/tex]
Protons are used since they do not change, otherwise with electrons, of which some elements can give or receive them.
Suppose 60% of the graduating class in a certain high school goes to collage if 240 students from this graduating class are going to collage how many student's are in this class
Total number of students in the graduating class when 60% of the students are going to college is equal to 400 students.
Percent of students of the graduating class going for college is equal to 60%
let 'y' represent the total number of students in the graduating class.
Number of students of the graduating class going to the college are 240.
60% of y = 240
⇒ ( 60 / 100 ) × y = 240
⇒ y = 240 × ( 100 / 60 )
⇒ y = 400 students.
Therefore, when 240 students of the graduating class going for a college then total number of students in the graduating class is equal to 400 students.
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Perry used the formula V (t) = 24,450(1-0. 13)
to find the value of his car t years after he purchased it.
What does 0. 13 represent?
A the price of the new car
B the time of year the car was purchased
the value of the car after t years
a 13% decrease in value each year
The expression 0.13 represents a 13% decrease in value each year. Thus, Option D is the correct option.
Perry used the formula V (t) = 24,450(1-0.13)^t to find the value of his car t years after he purchased it.
The expression given above represents an expression of exponential decrease which is given by the formula -
y = a(1 - r)^t
Where,
y = Value after time t
a = Initial value
r = Rate of decrease
t = Time
Comparing both expressions we get,
r = 0.13
This is the rate of decrease in the value of the car.
Converting to Percentage = 0.13 × 100
= 13% decrease.
Hence, the expression 0.13 represents a 13% decrease in value each year. Thus, Option D is the correct option.
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Tim went 8 mile eat and 15 mile north. Jan went 5 mile wet and 12 mile north. How far apart are they? Round your anwer to the nearet tenth. How do we get the anwer to thi
The distance between Tim and Jan rounded to the nearest tenth is 21.4 miles.
The formula used in this problem is the Pythagorean Theorem. The Pythagorean Theorem states that the square of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides. This can be shown as A2 + B2 = C2.
In this problem, we need to find the hypotenuse, which is the distance between Tim and Jan. To do this, we will use the Pythagorean Theorem. First, we need to find the sum of the squares of the distances traveled by Tim and Jan.
For Tim, the square of 8 miles plus the square of 15 miles equals 289. For Jan, the square of 5 miles plus the square of 12 miles equals 169. Adding these together gives a total of 458. We then take the square root of 458 and get 21.38. This is the answer we are looking for, the distance between Tim and Jan rounded to the nearest tenth is 21.4 miles.
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