Given :
Population of country in 2006 , P = 300 million.
Consumption of fruit juice in 2006 by while population, C = 1.85 billion.
To Find :
The average number of gallons of fruit juice consumed per person in the country in 2006.
Solution :
We know, 1 billion = 1000 million.
C = 1.85 billion = 1850 million.
Now, average umber of gallons of fruit juice consumed per person in the country in 2006 is :
[tex]c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person[/tex]
Hence, this is the required solution.
if they are not perpendicular, then the two lines do not intersect.
is this statement true or false and why?
Answer: True, perpendicular lines intersect so if the lines didn’t they wouldn’t be perpendicular
Step-by-step explanation:
What is the value of m in the equation 4m 2(m 1) = 9m 5? −1 1 7 17.
Answer:
4m +2(m+1) = 9m +5
4m +2m+2 = 9m +5
6m +2 = 9m +5
6m = 9m+3
-3m = 3
m = -1
Step-by-step explanation:
Pack-and-Move conducted a study that showed 98% customer satisfaction,
with a standard deviation of 1%. The sample included 25 people who
appeared in one of their commercials, during the past 5 years.
Move-Em-Out conducted a study that showed 92% customer satisfaction,
with a standard deviation of 3%. The random sample consisted of 100 people,
who had recently hired the moving company.
Which of the company claims is more believable and why?
Using sampling concepts, it is found that the correct option is given by:
D. Move-Em-Out because the sample is not biased.
What is sampling?It is when a group is taken from a population, and the data taken from the group can be taken to estimate the data for the entire population. A sample has to be representative of the population, that is, it has to avoid bias.
In this problem, the sample from Pack-and-Move was taken only from people who appeared in their commercials, meaning that the sample is biased, as these people are more likely to report high satisfaction, hence option D is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Which is the graph of the function f(x) = 1/2x2 + 2x - 6?
Answer:
1/2 x^2 + 2x - 6 = 0
(1/2 x - 1)(x + 6) = 0
zeroes are 2 and -6
so the graph intersects x axis at -6 and 2
The only one to do that is diagram A
Step-by-step explanation:
whoever answers first i will give brainlist tp :p
Part A: 50/100+3/100=x/100
Part B: Emma mistook 50/100 for 5/100 when she added it to 3/100. The correct sum would be 53/100
Answer:
Problem A:
5/10 + 3/100 = ?
Example:
Jake bought a cake. On Monday he ate 5/10 of the cake, he then put it in the fridge to store for later. On Wednesday Jake was looking through the fridge for a snack when he came across his leftover cake. His stomach was a bit small though so he only ate 3/100 of his cake. If Jake wants to finish the cake on Friday how much of the cake does he have to eat?
Problem B:
Emma added the value of 3/100 to 5/100 which is incorrect. The first graph is 5/10 or 1/2. The true value would be; 5/10 + 3/100 = 53/100. In conclusion, your answer would be 53/100 for problem B.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Help pls
19. The admission rates at an amusement park are as follows.
Children 5 years old and under: free
Children between 5 years and 12 years, inclusive: $10.00
Children between 12 years and 18 years, inclusive: $25.00
Adults: $35.00
Write a piecewise function that gives the admission price for a given age.
5 year olds and younger, 0c
5years to 12 years, 10c
12 to 18 years, 25c
Adules 35, 35c
C is for the amount of people
Javier wants to invest $3,000 in a mutual fund. He finds an international
fund that earns 6% per year. The following function equation represents
the account balance for Javier's mutual fund over time:
f(t)=3,000 (1. 06'
A) Complete the table of values. Make sure all cells are filled in correctly. Use the
given independent variable values. Round all dependent values to the nearest
tenth
The table of values are
Number of years Account balance
1 $3180
2 $3370.80
5 $4014.68
20 $9621.41
What is the account balance?The formula for calculating future value of the account balance is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rateN = number of yearsBalance after 1 year = 3000(1.06) = $3180
Balance after 2 year = 3000(1.06^2) = $3370.80
Balance after 5 year = 3000(1.06^5) = $4014.68
Balance after 20 year = 3000(1.06^20) = $9621.41
To learn more about future value, please check: https://brainly.com/question/18760477
Mr. Miller built a rectangular frame for a sandbox in his back yard. He used boards that measured 414 feet for the width and 535 feet for the length. Which shows a reasonable value for the perimeter of the sand box?
Answer:
1898
Step-by-step explanation:
414(2)+535(2)=P
828+1070=P
1898=P
Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?
It is given that Sylvia sells x number of bottles and Sam sells three times as many bottles as Sylvia sold to his co-workers.
So, number of bottles Sam sold is 3x.
It is also given that, number of remaining bottle Sylvia and Sam have same.
So,
24 - x = 36 - 3x
3x - x = 36 - 24
2x = 12
x = 6
Therefore, Sylvia sells 6 bottles.
Hence, this is the required solution.
What is 5y-3x=5 in slope intercept form
Answer:
y=(5+3x)/5
Step-by-step explanation:
first you need to know what is slope intercept form, if not i can't help.
You need to know the property of it.
3x/5 is the slope and 5/5 is the the y-intercept.
you can try substitute some numbers like x=0, y=0.
hope help but i think you can know it from textbook.
Take y as a subject.
Morgan missed 24 questions on her multiple choice math final that had a total of 200 problems. What percentage of questions did Morgan answer correctly?
Answer:
88%
Step-by-step explanation:
You start out by finding the number of questions she got correct
200 - 24 = 176 questions answered correctly
You then want to divide the number of question she answered correctly by the total number of questions there are.
176/200 or 176 ÷ 200 = 0.88
0.88 = 88/100 = 88%
I hope this helps!
Find the X and Y values
3x - 63i = 6 + 7yi
Answer:
x=2
y=-9
Step-by-step explanation:
divide swap the sides
3x=6
-63+7y
divide both sides by 7
x=2
7y=-63
Answer:
x − intercept = (-2,0)
y−intercept = (0,6)
Step-by-step explanation:
Which of the four triangles was formed by a translation of triangle POR?
A
B
C
D
Answer:
A
Step-by-step explanation:
yes
Which expression could be used to determine the product of 4 and 3?
O )x
(-4)(3)x(-4) (1)
O (-4)(3)+-a()
(x)
+(1
O (3)(-4) (3)
O (3)(-4)+(3)
Answer:
b
Step-by-step explanation:
just took it
how can the Motion of an object to be represented?
Answer:
Motion can be represented by a position-time graph
Step-by-step explanation:
(0,-2) reflected over x axis
Answer:
(0,2)
Step-by-step explanation:
plot the point and reflect it over the x axis
What are the values of a 1 and r of the geometric series? 1 3 9 27 81 a 1 = 1 and r = one-third a 1 = one-third and r = 1 a 1 = 1 and r = 3 a 1 = 3 and r = 1.
Answer:
a₁ = 1
r = 3
Step-by-step explanation:
Since it’s a geometric series then
a₁ = 1 ( because 1 is the first term of the series)
3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.
Step-by-step explanation:
What is the value of the expression z2+3z-3 when z=6?
Answer:
51
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
z² + 3z - 3
z = 6
Step 2: Substitute and Evaluate
6² + 3(6) - 3
36 + 18 - 3
36 + 15
51
PLEASE HELP DUE IN 10 MINS!!
Which of the following statements describes the solution set of -5x < 10?
All real numbers that are negative two or less.
All real numbers that are greater than negative two.
All real numbers that are negative two or greater.
All real numbers that are less than negative two.
Answer:
Its B
Step-by-step explanation:
The correct statement is "All real numbers that are greater than negative two".
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given an inequality, -5x<10
On solving, we get,
x > -2
Which is saying that, solution is all real number that is greater than -2.
Hence, All real numbers that are greater than negative two.
For more references on inequalities, click;
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Sandro y Ezequiel son hermanos y el producto de sus edades es igual a
la edad de su padre. Sandro es 8 años menor que Ezequiel y la suma de
su edad y la de su padre es igual a 36. ¿Qué edad tiene Ezequiel?
Usando un sistema de ecuáciones, hay que Ezequiel tiene 11 años.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
x: La edad de Sandro.y: La edad de Ezequiel.z: La idad de su padre.Sandro y Ezequiel son hermanos y el producto de sus edades es igual a la edad de su padre, o sea:
xy = z
Sandro es 8 años menor que Ezequiel, o sea:
x = y - 8.
La suma de su edad y la de su padre es igual a 36, o sea:
x + z = 36.
z = 36 - x
z = 44 - y
En el primer ecuácion:
xy = z
(y - 8)y = 44 - y
y² - 7y - 44 = 0
(y - 11)(y + 4) = 0
y - 11 = 0 -> y = 11.
Ezequiel tiene 11 años.
Puede-se aprender más a cerca de sistema de ecuáciones en https://brainly.com/question/24646137
Which pair of expressions are equivalent?
Answer:
The bottom 2 expressions are equivalent
help please!!
33+(67+56)=_(-6)=?
Step-by-step explanation:
[tex]33 + (123) = ( - 6)[/tex]
[tex]33 + 123 = ( - 6)[/tex]
[tex]156 = ( - 6)[/tex]
[tex] = - 6 - 156[/tex]
[tex]answer[/tex]
[tex] - 162[/tex]
hope it helps
brainliest please
[tex]\huge{\boxed{{B.O.D.M.A.S }}}[/tex]
[tex]\small \bold\pink{→}\small \bold{33+ (67+56) = (-6)}[/tex]
[tex]\small \bold\pink{→}\small \bold{33 + 123 = (-6)}[/tex]
[tex]\small \bold\pink{→}\small \bold{156 = (-6)}[/tex]
[tex]\small \bold\pink{→}\small \bold{-6-156}[/tex]
[tex]\small \bold\pink{→}\small \bold{-162}[/tex]
Complete the table to show the steps for combining like terms.
The simplified form of the expression is 8.3y + 3.1
Equations and expressionsGiven the following equations
(8-0.2+0.5)y + (2.2+1.3 - 0.4)
First is to Reorder the expression to have:
(8+0.5-0.2)y + (2.2+1.3 - 0.4)
Group the resulting expression
[8.5-0.2]y + (3.5 - 0.4)
Simplify the result
8.3y + 3.1
Hence the simplified form of the expression is 8.3y + 3.1
Learn more on factoring here: https://brainly.com/question/24734894
Which value for x will make a parallel to b?
35
5
15
20
Answer:
15
Step-by-step explanation:
4x15=60
60-30=30
2x15=30
Answer:
Option C is the correct answer.
Step-by-step explanation:
We have been given that a and b are parallel to each with a straight angle.
If a and a are parallel, then angle suspended by a and b will be equal to each other. It is because of Alternate angle of triangle.
Let's head to the question.
According to the above statement, we have the following equation.
2x°= 4x -30°
0r, 2x° - 4° = -30°
0r, -2x° = -30
0r, 2x° = 30°
0r, x = 30°/2°
0r, x = 15°
Hence, x = 15° will show that lines a and b are parallel.
A rectangle has an area of 36 square units.
Which of the following could NOT be the
dimensions of the rectangle?
a) 4 inches by 8 inches
b) 2 inches by 18 inches
c) 3 inches by 12 inches
d) 9 inches by 4 inches
Answer:
9 inches and 4 inches
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]A=w\times h[/tex]
To find the answer we substitute the values of each option in till we find the answer that doesn't equal 36 square units, since the question already gives us the area of the rectangle.
Option A:
[tex]A=w\times h[/tex]
[tex]A=4\times8[/tex]
[tex]4\times8=32[/tex]
[tex]=32[/tex]
[tex]32 > 36[/tex]
Your answer is option A or "4 inches by 8 inches."
Hope this helps.
find the domain and range of 6x+2y=14
Answer:
y= -7+3x
The slope of the line is 3 and the intercept on the y-axis is 7.
Step-by-step explanation:
The slope-intercept form of the equation of a line is y=mx+c, where "m" is the slope of the line and "c" is the intercept of the line on the y-axis.
To find the slope and intercept of 6x+2y=14, you should solve for "y".
From the equation we get;
2y=-6x=14 or dividing each side by 2, we'll get y=3x+7.
Answer:
Domain: (−∞,∞), {x|x∈R}
Range: (−∞,∞), {y|y∈R}
Vocab
Vocabulary Check be
7. Describe area in your own words so h have to like describe what is an area.
Answer:
Area is the total place within the space.
(not sure if that's the best way to describe it.)
Answer:
Area can be defined as the number of square units that cover up the surface of the shape.
Step-by-step explanation:
2) 14 = x - 8 please help hehe
Answer:
22
Step-by-step explanation:
14+8 just reverse the sign and add the 2 given numbers
Answer: x = 22
Step-by-step explanation: First, add 14 plus 8. 14 = 22 - 8. You should end up with a result of x = 22.
Please Answer Number 1
Answer:
45
Step-by-step explanation:
because if you try to find the area of a Parallelogram then it would be base times height or BH and the base is 9 and the height is 5 so the area would be 9x5=45
16+ n/4 =22
Help me solve please and thank you :))
Answer:
n = 24
Step-by-step explanation:
16+ n/4 =22
Subtract 16 from each side
16-16+ n/4 =22-16
n/4 = 6
Multiply each side by 4
n/4*4 = 6*4
n = 24